Subtract 0.1 from both sides49x+ 0.10= 117.90
49x+0.1-0.1=117.9-0.1
x=2.404
What is meant by variables?A quantity that may assume any one of a set of values. : a symbol representing a variable. : something that is variable. : a factor in a scientific experiment that may be subject to change.A variable is any characteristics, number, or quantity that can be measured or counted. A variable may also be called a data item. Age, sex, business income and expenses, country of birth, capital expenditure, class grades, eye colour and vehicle type are examples of variables.A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables49 x+0.1=117.9Move 0.1 to the right side49 x=117.8Divide both sides by 4949 x/49=117.8/49Simplifyx=2.40408To learn more about variables refers to:
brainly.com/question/27894163
#SPJ1
What must be added to x³ 3x² 12x 19?
The expression x3 3x2 12x 19 is a polynomial expression in standard form.
To add 24 to this expression, we need to add 24 to each of the terms. This means that the answer is x3 + 3x2 + 12x + 43. To check our work, we can use theFOIL method to expand the expression and make sure that the coefficients of each of the terms are correct. The FOIL method stands for First, Outer, Inner, Last. The first and last terms are the x3 and 43, the outer terms are 3x2 and 12x, and the inner terms are 3x2 and 12x. When we multiply these terms, we get x3 + 3x2 + 12x + 43, which is our final answer.
Calculation
x3 + 3x2 + 12x + (19 + 24)
= x3 + 3x2 + 12x + 43
The expression x3 3x2 12x 19 is a polynomial expression in standard form.
Learn more about polynomial here
https://brainly.com/question/11536910
#SPJ4
Which of the following is a factor of 2x^2 3x 5?
The factor of the given expression is -1 and 5/2 first we try to solve given expression as a quadratic equation then we make 2 terms equal to 0.
first, try to understand what is the factor of a quadratic equation.
A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.
The roots of a quadratic equation are known as a factor. This means if we put the value of x to factor then the quadratic equation will become zero.
2x^2 - 3x - 5 = 2x^2 - (5-2)x - 5
3 can be written as 5-2.
2x^2 - 5x + 2x - 5
x(2x - 5) +1(2x-5)
(2x - 5)(x + 1)
So the factors is 2x - 5 = 0 or x + 1 = 0.
2x - 5 = 0 , x = 5/2.
x + 1 = 0 , x = -1.
Given question is incomplete complete question here:
Which of the following is a factor of 2x^2 - 3x - 5?
To know more about factor here:
https://brainly.com/question/1863222
#SPJ4
PLEASE HELP PICTURE ATTACHED
Given the diagram below, which statement is true?
A. /1 and /2 are vertical angles and supplementary.
B. /2 and /3 are complementary angles and congruent.
C. /1 and /3 are vertical angles and congruent.
D. /2 and /4 are supplementary angles and congruent.
Therefore , the solution of the given question of triangle comes out to be the only true option is A.
Triangle definitionAny three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.
Here,
Because angles 1 and 2 are close to one another, they are neighboring angles.
A They share a side and are near to each other, making them neighboring angles.
B. The angles are complimentary (add to 90 degrees) False—Angle 2 has a 90 degree angle.
C. They are additional angles. (add to 180) They do not create a straight line, which is untrue.
D. Vertical angles describe them. (Contrary angles) False, they are not created through the intersection of lines.
Therefore , the solution of the given question of triangle comes out to be the only true option is A.
To know more about triangle, visit
brainly.com/question/2773823
#SPJ1
Which planes contain point W? Select all that apply.
Multiple select question.
cross out
A)
plane B
cross out
B)
plane VWY
cross out
C)
plane VWX
cross out
D)
plane m
cross out
E)
plane RYV
cross out
F)
plane VWZ
The planes that contain point W from the given image are;
Plane V
Plane VWY
Plane RYV
How to identify planes?A coordinate plane is a graphing and description system for points and lines. A vertical y-axis and a horizontal x-axis make up the coordinate plane.
From the attached image, we see that the planes whose name contains V also contains W.
The plane B contains the line XR and the Line YV as well as the W at the line YV.
Finally, the plane m also contains line YV and obviously the same as plane RYU.
Read more about Planes at; https://brainly.com/question/12227980
#SPJ1
h(x)=x 2 −1h, left parenthesis, x, right parenthesis, equals, x, squared, minus, 1 Over which interval does hhh have a negative average rate of change?
The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
Given expression,
h(x) = x² - 1
Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).
Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.
Learn more about function here:
brainly.com/question/21145944
#SPJ1
In convex hexagon $ABCDEF$, all six sides are congruent, $\angle A$ and $\angle D$ are right angles, and $\angle B$, $\angle C$, $\angle E$, and $\angle F$ are congruent. The area of the hexagonal region is $2116(\sqrt2 1)$. Find $AB$.
The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.
What is meant by convex hexagon?All of the inner angles and all of the vertices must be smaller than 180 degrees for a convex hexagon. There are both regular and irregular convex hexagons.
There are no angles inside a convex hexagon. More specifically, no internal angle may exceed 180 degrees. Any internal angle that exceeds 180 degrees is concave.
Let the side length be x
The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.
Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.
Let the equation be
2116(√2 + 1) = x²√2 + x²
simplifying the above equation, we get
2116(√2 + 1) = x²(√2 + 1)
2116 = x²
x = 46
Therefore, the value of AB exists 0.46.
To learn more about convex hexagon refer to:
https://brainly.com/question/20586914
#SPJ4
The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.
What is meant by convex hexagon?A convex hexagon requires that all of the inner angles and all of the vertices be smaller than 180 degrees. Convex hexagons come in both regular and irregular varieties.
The interior of a convex hexagon is flat. No internal angle may be greater than 180 degrees, to be more precise. Concavity is defined as an interior angle greater than 180 degrees.
Let the side length be x
The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.
Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.
Let the equation be
2116(√2 + 1) = x²√2 + x²
simplifying the above equation, we get
2116(√2 + 1) = x²(√2 + 1)
2116 = x²
By taking root both sides,
x = 46
Therefore, the value of AB exists 0.46.
To learn more about convex hexagon refer to:
https://brainly.com/question/8496469
#SPJ4
A certain statistic d is being used to estimate a population parameter D. The expected value of d is not equal to D. What property does d exhibit?
The sampling distribution of dis normal.
B
The sampling distribution of d is binomial.
с
The sampling distribution of dis uniform.
d is unbiased.
E
d is biased
Using the Central Limit Theorem for proportions, the correct option is:
E. The statistic is biased.
In plain English, what is the central limit theorem?
According to the central limit theorem, even if a population isn't normally distributed, you may still obtain sufficiently big samples from it and have the samples' means be distributed normally.
What is the central limit theorem and why is it significant?
Because of the Central Limit Theorem, we can confidently assume that the sampling distribution of the mean will be normally distributed in most situations.
Since a normal distribution is assumed, we can benefit from statistical methods, as we will see in the section after this one.
Learn more about Central Limit Theorem
brainly.com/question/18403552
#SPJ4
Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to
The volume of Pill Bluetooth Speaker is 39.78 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.
The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.
Radius =2/2 1 inch
We know that, the volume of semi sphere is 2/3 πr³
= 2/3 ×3.14×1³
= 2.1 cubic inches
We know that, 1 foot =12 inches
The volume of cylinder is πr²h
= 3.14×1²×12
= 37.68 cubic inches
Total volume =37.68+2.1
= 39.78 cubic inches
Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ1
"Your question is incomplete, probably the complete question/missing part is:"
Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.
a) Volume of the Bluetooth Speaker ______
noah ia taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would be Noah's test score (out of 20) if he got 3 questions wrong? What would be his score if he got questions wrong?
Answer:
17
I wish you luck in your assignments.
x + 2y = -18
-8x + 5y = -24
substitution method
To solve many simultaneous linear equations, use the substitution method in algebra.
What is substitution method ?The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another.
The first stage in the substitution approach is to determine any variable's value in terms of the other variable from one equation. If there are two equations, x+y=7 and x-y=8, for instance, we can deduce from the first equation that x=7-y. The substitution approach is applied in this manner as the first stage.
There are three steps in the substitution technique:
For each variable, solve a single equation.Solve the other equation by substituting (plugging in) this expression.Find the corresponding variable by substituting the value back into the original equation.Therefore, the answer is x= -2 and y= -8.
To learn more about substitution method refer to:
https://brainly.com/question/22340165
#SPJ1
PLEASE HELP THIS IS URGENT!!!!!! Decide which of the following points are on the graph of the function y=2x+1
(0.1), (2,5), (1/2,2), (-1,-1) are the points on graph.
What is a graph, exactly?In mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way. The relationships between two or more things are frequently represented by the points on a graph.
what a graph example?A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. Any two nodes, also referred to as vertices, in a graph are connected by edges. The vertex numbers in this graph are 1, 2, 3, and 5, and the edge numbers are 1, 2, 1, 3, 2, 4, and 5, respectively.
To know more about graph visit:-
brainly.com/question/17267403
#SPJ1
What is the hardest math in high school?
Evaluate the expression when x=3
, y=−4
, and z=−6
.
z−2xy=
z
−
2
x
y
=
The evaluation of the expression z − 2xy when x = 3, y = -4 and z = -6 is 18
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: z − 2xy
Values: x = 3, y = -4 and z = -6
Substitute the known values in the above equation, so, we have the following representation
z − 2xy = -6 - 2 * 3 * -4
Evaluate the products
This gives
z − 2xy = -6 + 24
Evaluate the like terms in the equation
So, we have the following representation
z − 2xy = 18
Using the above as a guide, we have the following:
The solution is 18
Read more about equation at
brainly.com/question/2476251
#SPJ1
What's the domain of a logarithmic function?
Answer:
all positive numbers
Step-by-step explanation:
You want to know the domain of the log function.
Log functionThe log function ln(x) is defined for all x > 0. A log function with any other base is similarly defined.
log function domain: all positive numbers
A parent log function has a vertical asymptote at x=0, and an x-intercept at x=1. Its vertical scaling will depend on the base of the logarithm. Like any function, it can be translated and scaled horizontally and vertically.
__
Additional comment
In the field of complex numbers, the log function is defined for any non-zero number. For example, ln(-1) = πi.
The range is all real numbers.
What is the inverse of 9 by 7?
-9/7 is the inverse of 9/7.
-9/-7 = 9/7
9/7 + (-9/7) = 0
-9/7 is consequently the additive opposite of -9/-7.
By merely switching the integer's sign, you can add the original number and the additive inverse to produce a result equal to 0. The value that, when added to the original number, results in zero is known as a number's additive inverse. It is what we add to a number to make it equal to zero. Considering that an is the starting number, its additive inverse will be a minus one, or -a, such that;
a+(-a) = a – a = 0
To learn more about inverse here:
https://brainly.com/question/2541698
#SPJ4
9. Samuel is comparing the average EPA ratings on 4 types of vehicles. He wants to drive a pickup truck, but he can see from the table below that he would use less gasoline if he drove a compact car. If Samuel
drives an average of 13,000 miles per year, how many more gallons of gas would he need to buy for a pickup truck compared to a compact car?
4-door Sedan
Compact Car
Pickup Truck
Small SUV
EPA rating: 26 mpg (combined city and EPA rating: 32 mpg (combined city EPA rating: 20 mpg (combined city and EPA rating: 22 mpg (combined city and
highway)
and highway)
highway)
highway)
O221.25 gallons
243.75 gallons
250.25 gallons
O261.75 gallons
Answer:
If Samuel drives a compact car, he would need to buy 243.75 gallons of gas per year. If he drives a pickup truck, he would need to buy 250.25 gallons of gas per year. So he would need to buy 6.5 more gallons of gas per year if he drives a pickup truck compared to a compact car.
Step-by-step explanation:
12. Find T in the diagram, if R = 110° and S = 60°.
Answer:
∠T = 130°
Step-by-step explanation:
The figure we are given is a quadrilateral, a 4 sided shape.
There are many different types of quadrilaterals, such as a rhombus, rectangle, etc.
How will we know which quadrilateral the given figure is?
We will have to look at the given properties of the figure to find out.
We are given that there are two adjacent pairs of congruent sides.
RS = RU, and ST = UT.
Thus, the given quadrilateral is a kite.
Now that we know that the given figure is a kite, we can utilize a kite's angle properties to find out ∠T.
In a kite, the non-vertex angles (∠S and ∠U) are congruent.
If ∠S = 60°, then ∠U = 60°.
In a kite, the sum of the interior angles is 360°.
Hence:
∠R + ∠S + ∠T + ∠U = 360°
Therefore, we can substitute the angles we know into the equation and solve for ∠T.
∠R + ∠S + ∠T + ∠U = 360°
110 + 60 + ∠T + 60 = 360
110 + 120 + ∠T = 360
230 + ∠T = 360
∴ ∠T = 130°
if this response helped you, please mark it the brainliest :)
gcf of 15 and 18 and -45
Answer: 3
Step-by-step explanation:
Factor of 15: ±1, ±3, ±5, ±15
Factor of 18: ±1, ±2, ±3, ±6, ±9, ±18
Factor of -45: ±1, ±3, ±5, ±9, ±45
=> GCF of 15, 18, -45 is 3
How do you solve a 30 60 90 right?
Remembering the ratio of 1: 3: 2 and understanding that the smallest side length is always opposite the shortest angle (30°) and the longest side length is always opposing the greatest angle (90°) can help you recall the 30-60-90 triangle principles.
A 30-60-90 triangle can have three sides, and if you only know one, you can use shortcuts to discover the other two. The three scenarios you encounter when performing these computations are as follows:
You are aware of the short leg (the side across from the 30-degree angle). To determine the hypotenuse, multiply the length by two. The long leg may be calculated by multiplying the short side by the square root of 3.You are aware of the hypotenuse. To get the short side, divide the hypotenuse by two. To determine the long leg, multiply this response by the square root of 3.You are aware of the long leg (the side across from the 60-degree angle). To determine the short side, divide this side by the square root of 3. To determine the hypotenuse, multiply that amount by two.To know more about the 30-60-90 triangle on brainly : brainly.com/question/11751274
#SPJ4
Find the area of a table top that is 3 1/3 feet by 2 feet
6.666666666666666 (6.6 repeating, I just don’t know how to use the sign online)
I multiplied 3 1/3 by 2
C is the centroid of △ABD. find the following:
1. If CD = 12, find FC.
2. If BG= 15, find BC.
3. If AE = 21, find EC.
4. If FA = 6, find BA.
5. If CG = 3.5, find BC.
Answer:
1. FC = 6
2. BC = 10
3. EC = 7
4. BA = 12
5. BC = 7
Step-by-step explanation:
⭐What is the centroid of a triangle?
the intersection of the medians of a trianglethe medians bisect each side in halfeach median is split in the ratio of 2:1each median has a segment from the vertex to the centroid. that segment is 2/3 the distance from said vertex to the opposite side of said vertexeach median has a segment from the centroid to a side opposite of a vertex. that segment is 1/3 the distance from said vertex to said opposite sideUsing the properties of a centroid, we can determine the lengths the problem is asking us for.
1. If CD = 12, find FC.
each median is split in the ratio of 2:1So if the median we need to look at is FD,
then CD : FC = 2:1
[tex]\frac{CD}{FC} = \frac{2}{1}\\\\\\\\[/tex] . . . . . . . . write the proportion
[tex]\frac{12}{FC} = \frac{2}{1}[/tex] . . . . . . . . . substitute the known values
[tex]12 = 2FC[/tex] . . . . . . cross multiply
[tex]FC = 6[/tex] . . . . . . divide both sides by 2 to isolate FC
∴ FC = 6
2. If BG = 15, find BC
each median has a segment from the vertex to the centroid. that segment is 2/3 the distance from said vertex to the opposite side of said vertexSo if BG = 15, and BC is the distance from a vertex to the centroid, then BC is 2/3 of BG.
[tex]BC = \frac{2}{2}BG[/tex] . . . . . write equation
[tex]BC = \frac{2}{3}(15)[/tex] . . . . . substitute known values
[tex]BC = \frac{30}{3}[/tex] . . . . . . . . multiply numerators
[tex]BC = 10[/tex] . . . . . . . . compute
∴ BC = 10
3. If AE = 21, find EC
each median has a segment from the centroid to a side opposite of a vertex. that segment is 1/3 the distance from said vertex to said opposite sideSo if AE is the full median, and EC is the distance from the centroid to the opposite side of a vertex, then EC is 1/3 of AE.
[tex]EC = \frac{1}{3}AE[/tex] . . . . . . . . write equation
[tex]EC = \frac{1}{3}(21)[/tex] . . . . . . . . substitute known values
[tex]EC = \frac{21}{3}[/tex] . . . . . . . . . . . multiply the numerators
[tex]EC = 7[/tex] . . . . . . . . . . . . compute
∴ EC = 7
4. If FA = 6, find BA
the medians bisect each side in halfIf BA is a side length that is bisected by a median, then FA is 1/2 of BA.
[tex]FA = \frac{1}{2}BA[/tex] . . . . . . . make equation
[tex]FA = \frac{1}{2}(6)[/tex] . . . . . . . . substitute known values
[tex]FA = \frac{6}{2}[/tex] . . . . . . . . . . . multiply the numerators
[tex]FA = 3[/tex] . . . . . . . . . . . compute
∴ FA = 3
5. If CG = 3.5, find BC
each median is split in the ratio of 2:1each median is split in the ratio of 2:1So if the median we need to look at is BG,
then BC : CG = 2:1
[tex]\frac{BC}{CG} = \frac{2}{1}[/tex] . . . . . . . . . . create the proportion
[tex]\frac{BC}{3.5} = \frac{2}{1}[/tex] . . . . . . . . . . substitute the known values
[tex]BC = 2(3.5)\\[/tex] . . . . . . . . cross multiply
[tex]BC = 7[/tex] . . . . . . . . . . . . . compute
∴ BC = 7
⭐if this response helped you, please mark it the brainliest ⭐
A different computer is advertised as 30% off of the original price. After the discount, the tax is $78.75
• Determine the original price of this computer.
Show your work or explain your answer.
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
How to calculate original price of computer?The original price of the computer is 112.5 .The amount saved is 33.75The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Here,
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Coupon = 30% off
Coupon = 30% off= 78.75
This means that the cost of the computer is only 70% since 30% is off.
70% = 78.75
We know that the original price is 100%.
So,
70% = 78.75
Multiply 100/70 on both sides.
100/70 x 70% = 100/70 x78.75
100% =112.5
The original price of the computer is 112.5
The amount saved is:
112.5-78.75=33.75
Thus,
The original price of the computer is 112.5
The amount saved is 33.75
To learn more about percentage refers to;
brainly.com/question/21290966
#SPJ1
How do you find the inverse of a 4x4?
By adding a duplicate of the identity matrix to the augmented matrix, which was formed, it is possible to find the inverse of a square matrix using row reduction.
If the matrix is capable of being reduced to the identity, the identity matrix will simultaneously change into the inverse matrix. A rectangular array of numbers, arranged in rows and columns, is referred to as a matrix. The dimension, or order, of a matrix, indicates how many rows and columns there are in the array. For example, if a matrix has m rows and n columns, its order is expressed as mxn.
Correct Question :
How do you find the inverse of a 4x4 matrix?
To learn more about matrix here:
https://brainly.com/question/28180105
#SPJ4
Which single power is equivalent
WOMENA NGO provides transport refund to every member who attend a seminar as below. a Trainer of trainers (TOT) is given 40% of the money, a Trainer is given 30% of the money,a student lead and other participants share the remaining percentage equally.As a learner,using the knowledge of angles,drawing figures and percentages, draw a pie chart that would help the organization distribute the Transport refund. (Use radius of 4cm)
Therefore , the solution to the given question of percentage comes out to be 7.89.
What is a percentage?A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.
Here,
Given : 40% of the money, a Trainer is given
30% of the money ,a student lead
Find the discount
40 * .15 = 6
Take this from the original price
0.30* 6.3 =1.89
The sale price is 6 + 1.89 =7.89
Therefore , the solution to the given question of percentage comes out to be 7.89.
To know more about percentage , visit
brainly.com/question/20260562
#SPJ1
a cell phone company has a basic monthly plan of $40 plus $0.45 for any minutes used over 700. Before receiving his statement, John saw he was charged a total of $48.10. Write and solve an equation to determine how many minutes he must have used during the month. write an equation without decimals.
Answer: 718
Step-by-step explanation:
The formula for determining the cost of the cell phone bill (when more than the base number of minutes is used) is
c=p+(m−b)r
Where:
c is the total cost of the bill: $48.10 for this problem.
p is the base price of the plan: $40 for this problem.
m is the number of minutes used: what we are solving for this problem.
b is the base number of minutes allowed: 700 for this problem
r is the rate for additional minutes: 0.45 for this problem
Substituting and solving for m gives:
$48.10 = $40.00 + (m − 700)$0.45
$48.10 − -$40- = $40.00 − -$40- + (m − 700)$0.45 $8.10= 0 + (m−700)$0.45
$8.10 = (m - 700)$0.45
$8.10 = ($0.45 × m) − ($0.45 × 700)
$8.10 = $0.45m − $315.00
$8.10 + -$315.00- = $0.45m − $315.00 + -$315.00-
$323.10 = $0.45m − 0
$323.10 = $0.45m
[tex]\frac{323.10}{-0.45-}=\frac{0.45m}{-0.45-}[/tex] (Money)
[tex]\frac{323.10}{0.45}=\frac{0.45m}{0.45}[/tex] (Money): cross out the dollar sign for 323.10 and 0.45 under it... then cross out 0.45m but leave the m, and then cross out 0.45 under it.
[tex]\frac{323.10}{-0.45-}=m[/tex]
718 = m
m = 718
John used 718 total minutes during the month.
If a is 200% of b, what percent of 5a is 4b?
250% (percent) of 5a is 4b.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
here, given that,
a is 200% of b
i.e. a=2b
Now, 5a=10b
So, we have,
5a/4b
=10b/4b
=5/2
=250%
Hence, 250% (percent) of 5a is 4b.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ1
Rent-A-Car charges $50 to rent a car plus $0.25 per mile. Save-To-Rent charges $25 to rent a car plus $0.41 per
After how many miles will the cost be the same to rent a car?
miles
y = 0.25x + 50 and y = 0.3x + 40 will be the equation to find the cost to rent a car.
Define cost function.A mathematical formula known as a cost function is used to visualize how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.
Define cost.Costs are the dollar amount spent on materials, labor, services, goods, equipment, and other items for use by a company or other accounting organization.
y = 0.25x + 50
y = 0.3x + 40
The equations will be written as y = mx + b, or slope-intercept form. You must determine what you have in order to determine what belongs where.
They receive $50 per day plus $0.25 per mile from Rent-A-Wreck. This indicates that the $0.25 per mile is the number that changes daily. Thus, y = 0.25x + 50 will be the equation.
They receive $40 per day with $0.30 per mile from Drive-A-Lemon. This indicates that the $0.30 per mile is the number that changes daily. y = 0.3x + 40 will be the formula.
To learn more about cost visit the link:
https://brainly.com/question/25811981
#SPJ1
Student perform one trial of a cientific experiment if the reult of that trial do not upport the prediction what hould the tudent do next?
If the student perform one trial of scientific experiment , and the result of that trial do not support the prediction , then the student should repeat the experiment , modify the experiment and can use alternative Method .
If in the Scientific Experiment the result does not support the prediction of the student in one trial , then the student can :
(i) Modify the Experiment :
The students can modify scientific experiment in other way and try again. For Example, they student change variables being tested or methods used to collect data.
(ii) Use Alternative Explanations :
The students can use alternative explanations for results. It may be possible that the prediction was correct, but there were other factors that may influence outcome of experiment.
(iii) Repeat the Experiment :
The student can repeat the experiment by the same procedures to see if he gets same results and if results are consistent, it can concluded that the prediction was incorrect .
The given question is incomplete , the complete question is
Student perform one trial of a scientific experiment if the result of that trial do not support the prediction what should the student do next ?
Learn more about Scientific Experiment here
https://brainly.com/question/28531991
#SPJ4
What is the first step for solving 2x 3 7?
the question is of set of equations and the solution is as follows,
the equation is 2x -3 = 7,
First, add 3 to each side to get
2x - 3 + 3 = 7 +3
2x = 10
x = 10/2
x =5.
equations
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For Example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Learn more about equations here :-
https://brainly.com/question/10413253?
#SPJ4