The equation that calculates the time taken to get to Springfield is x = 926/57
What is rate?Rate is used to establish the relationship between two quantities of different units. one of the quantity is usually expressed to unity in order to estimate the change in the other quantity.
If Hillwood and Springfield are 926 mile apart, and the speed taken to get to Springfield is 57miles per hour.
Let the time taken to get to Spring field be x.
Then if 57 miles is covered in an hour and it takes x hours to get to the destination
It means total distance covered is 57 × x
This distance is equal to the distance from Hillwood to Springfield which is 926 miles.
Equating both equations.
57x = 926
In conclusion, 57x = 926 is the equation that can be used to find out the time taken.
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Which fraction is not equivalent to 12/20 6/10 3/5 24/40 2/3
A fraction which is not equivalent to 12/20 is: D. 2/3
What is a fraction?A fraction simply refers to a numerical quantity which isn't expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
The parts of a fraction.In Mathematics, a fraction comprises two (2) main parts and these include the following:
DenominatorNumeratorNext, we would evaluate the given fractions as follows:
Dividing the fraction by 2, we have:
12/20 = 6/10
Dividing the fraction by 3, we have:
12/20 = 4/5
Dividing the fraction by 4, we have:
12/20 = 3/5
Multiplying the fraction by 2, we have:
12/20 = 24/40
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Without looking Elna chooses a colored marble from a mixed bag of marbles writes down the color and returns it to the bag then she draws another Marble without looking are these 2 events dependent or independent
The 2 events are independent because the outcome of the first draw doesn't affect the outcome of the second.
ANSWER
independent
Please help. When forming a marching band the leader wants the number so the greatest number of arrangements can be made. She has to choose between 18 and up to 42 members. Which number will produce the greatest number of rectangular arrangements?
The number that will produce the greatest number of rectangular arrangements is 6.
How to illustrate the information?From the information, when forming a marching band the leader wants the number so the greatest number of arrangements can be made and she has to choose between 18 and up to 42 members.
It should be noted that the question simony relate to the highest common factor of the values that are given. This will be illustrated as:
18 = 1, 2, 3, 6, 9 and 18
42 = 1, 2, 3, 6, 7, 14 and 42
Therefore, the highest common factor is 6 and this is the greatest number.
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What does standard deviation measure in a probability distribution?
Answer:
omg what is standard deviation that was on my psat today
find the area under the standard normal curve between z=0 and z=3
The area under the standard normal curve between z=0 and z=3 is 0.4987.
How to illustrate the information?It should be noted that because the normal distribution is symmetrical on both sides of the mean and is a continuous probability distribution, the right side of the center is the opposite of the left side.
The normal distribution was first termed by early statisticians who observed that the same shape repeatedly appeared in many distributions. The characteristics of normal distributions are as follows: Bell-like in its symmetry. The distribution's mean and median, which are both at its center, are equal.
The area will be illustrated as:
P(0 < Z < 3)
From the distribution table. In this case, it's important to look at the normal distribution table under the z score for the values of zero less than Z and Z less than 3. This will be:
= 0.9987 - 0.5
= 0.4987
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A house purchased for $265,100 gains 2% of its value every year. If this growth rate continues, in how many years will the house be worth twice its original value
The price of the house will double the original value in 35 years
How to determine the number of years?The given parameters from the question are
Initial value of the house = $265,100
Rate of gain = 2% of its value every year
An exponential function is represented as
y = a *(1 + r)^x
Where
y represents the current valuea represents the initial valuer represents the growth or decay ratex represents the number of years, in this caseThis means that
a = 265,100
r = 2%
So, we have
y = 265,100 *(1 +2%)^t
When the price doubles, we have
2 * 265,100 = 265,100 *(1 +2%)^t
Divide both sides by 265,100
So, we have
2 = (1 +2%)^t
Evaluate the sum
So, we have
2 = 1.02^t
Take the logarithm of both sides
t * log(1.02) = log(2)
Divide
t = log(2)/log(1.02)
Evaluate
t = 35
Hence, the number of years is 35
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Use the table below to determine whether f(x) could represent a linear function. If it could, write f(x) in the form f(x)=mx + b
Answer:
Step-by-step explanation:
1)
f(x) = m*x + b
x = 0
5 =m*0 + b
b = 5
2)
2 = m*2 + 5
2*m = - 3
m = - 3/2
3)
f(x) = - 3/2*x + 5
The graph shows the temperature of a liquid that is being heated during an experiment. Three of the statements are true. Which is NOT?
The statement that is not true is that at this rate, it would take less than 10 mins for the temperature of the liquid to rise to 52 degrees.
Which statement is not true?We know that in a graph we see the presentation of a data set by the use of the Cartesian coordinates. There is the vertical axis and there is the horizontal axis. The vertical axis is the axis where we have to plot the time while the vertical axis is the axis where we have to plot the temperature as we can see from the image attached to this answer.
The graph as show has to the points which are; (0, 0) and (6.5, 26). Thus we can use the both points to obtain the slope of the graph and this would give us;
m = 26 - 0/ 6.5 - 0
m = 4
This implies that the rate at which the temperature rise with time is 4 degrees centigrade per hour. In a quarter hour, the temperature would rise to;
y = mx
y = 4(15)
y = 60 degrees centigrade.
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a group of students asked Pythagoras how many students were in his class. "One half study mathematics, one quarter study natural philosophy, one seventh observe silence and there are three others", How many students did he have?
the total number of students in class is given by the equation x - 1 / 2 x - 1 / 4 x - 1 / 7 x = 3 and is equal to 28.
Let the total number of students be x
Mathematics = 1 / 2 x
natural philosophy = 1 / 4 x
Silence = 1 / 7 x
Remaining = 3
So, we get the equation as:
x - 1 / 2 x - 1 / 4 x - 1 / 7 x = 3
(28 x - 14 x - 7 x - 4 x) / 28 = 3
3 x / 28
x = (3 × 28) / 3
x = 28
Number of students in class = 28.
Therefore, the total number of students in class is given by the equation x - 1 / 2 x - 1 / 4 x - 1 / 7 x = 3 and is equal to 28.
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Isaac's parents borrow $3600.00 from the bank for new appliances for their kitchen. The simple interest rate is 9% per year. How much interest will they have to pay if it takes them 4 years and 3 months to repay the loan?
The interest that they will they have to pay if it takes them 4 years and 3 months to repay the loan is $1377.
How to illustrate the information?From the information, Isaac's parents borrow $3600.00 from the bank for new appliances for their kitchen and the simple interest rate is 9% per year.
Principal = $3600
Rate = 9%
Time = 4 years 3 months = 4.25
It should be noted that simple interest is calculated as:
= Principal × Rate × Time / 100
= (3600 × 9 × 4.25) / 100
= 137700 / 100
= $1377
Therefore, the interest is $1377.
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GHJ PQR and PQR – STU. Complete the following using a side or angle of STU
(a)
The angle R of triangle PQR is congruent to the angle U of triangle STU. So
[tex]\angle R\cong\angle U[/tex](b)
The angle H of triangle GHJ is congruent to angle Q of triangle PQR and angle Q of triangle PQR is congruent to angle T of triangle STU, which means
[tex]\begin{gathered} \angle H\cong\angle Q \\ \angle Q\cong\angle T \end{gathered}[/tex]So,
[tex]\angle H\cong\angle T[/tex](c)
The side QR of triangle PQR is congruent to the side TU of triangle STU. So
[tex]QR\cong TU[/tex]
(d)
The side JG of triangle GHj is congruent to side RP of triangle PQR and side RP of triangle PQR is congruent to side US of triangle STU. So
[tex]JG\cong US[/tex]important please help
Answer:
[tex]5 \times 10^4[/tex]
Step-by-step explanation:
Let the number of grains of rice be g.
[tex]\frac{g}{1}=\frac{1}{2 \times 10^{-5}} \\ \\ g=\frac{1}{2} \times 10^5 \\ \\ =5 \times 10^4[/tex]
Question
Find the equation of the line with slope m = - 1/3 and passing through the point (1, 1/3)
(Write the equation in standard form.)
answer has to be in the form ax+by=c
The equation of the line is x + 3y = 2
What are linear equations?Linear equations are equations that have constant average rates of change.
How to determine the equation of the line?The given parameters are
Slope, m = -1/3
Points (x, y) = (1, 1/3)
A linear equation is represented as
y = slope * (x - x₁) + y₁
Where
(x₁, y₁) = (1, 1/3)
Substitute (x₁, y₁) = (1, 1/3) and Slope, m = -1/3 in the equation y = slope * (x - x₁) + y₁
So, we have
y = -1/3* (x - 1) + 1/3
Multiply through by 4
So, we have
3y = -(x - 1) + 1
Remove the brackets
3y = -x + 1 + 1
So, we have
x + 3y = 2
Hence. the linear equation is x + 3y = 2
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Complete the frequency table for the following set of data. =
Given the set of data:
12, 4, 11, 3, 4, 0, 13, 13, 2, 6, 11, 0, 10, 11, 3, 4, 0, 10, 13, 2, 11, 9.
Let's complete the given frequency table using the set of data given.
Frequency can be said to be the number of times a number occurs in a set of data.
hus, we have:
• 0 - 2
ubmbers between 0 - 2 in the data set: 0, 2, 0, 0, 2 ==> 5 times
• 3 - 5
3 - 5: 4, 3, 4, 3, 4, ==> 5 times
• 6 - 8:
6 - 8: 6, ==> 1 time
• 9 - 11:
: 9 - 119, 11, 11, 10, 11, 10, 11, 9 ==> 7 times
• 12 - 14:
12 - 134: 12, 13, 13, 13 =3 ==> 4 times.
Therefore, the complete table is:
The water level in a lake was 22 inches below normal at the beginning of March. The water level decreased by 3 1/6 inches in March and increased by 1 6/7 inches in April. What was the water level compared to normal at the end of April? Enter your answer as a mixed number.
The water level compared to normal at the end of April is 23 13/42 inches below normal.
How to calculate the fraction?From the information, the water level in a lake was 22 inches below normal at the beginning of March and rhe water level decreased by 3 1/6 inches in March and increased by 1 6/7 inches in April.
The water level compared to normal at the end of April will be:
= -22 - 3 1/6 + 1 6/7
= - 22 - 3 7/42 + 1 36/42
= -22 - 1 13/42
= -23 13/42
There, it is 23 13/42 below normal.
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HELP THIS IS DUE SOON!
The maximum height the ball reaches is 80 feet
The ball stayed in the air for 1 second
What is a function?A function can be defined as a law, rule or expression that shows the relationship between two known variables:
The dependent variableThe independent variableGiven the function:
h(t) = -16t² + 96
Where;
h is the maximum height measured in feett is the time in secondsTo determine the maximum height in feet that the ball reached, we have to substitute the value of t as
We have:
h(1) = -16(1)² + 96
expand the bracket
h = -16 + 96
Add the values
h = 80 feet
The time it took the ball to stay in the air would be 1 second, this is so because the ball reached it maximum height as t = 1 sec
Hence, the maximum height is 80 feet
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What are all the solutions, both real and nonreal, to 4x3 + 96x = 0?
Answer:
it is 1,152
Step-by-step explanation:
4×3=12×96=1,152
Answer:a
Step-by-step explanation:
Plot (−3 1/2, −1 1/4) on the coordinate plane.
The plot of the points on a coordinate plane is added as an attachment
How to plot the point on a coordinate plane?The coordinate of the point on a coordinate plane is given as
Point = (-3 1/2, -1 1/4)
As a general rule, we express the above coordinate as follows:
(x, y) = (-3 1/2, -1 1/4)
The next step is to remove the bracket
So, we have the coordinates into x and y coordinates
This is represented as
x = -3 1/2 and y = -1 1/4
The interpretation of the above equations is:
(-3 1/2, -1 1/4) is at a point that is 3 1/2 points to the left of the origin (-3 1/2, -1 1/4) is at a point that 1 1/4 points below the originNext, we plot the points
See attachment for the plot of the points on a coordinate plane
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Can someone help me understand this question please and thank you
The value of x for the given parallel line d || e is x = 20.
What is defined by the term linear pair?Linear pairs of angles are generated when two lines intersect at a single point. If the angles formed are adjacent to one another after the two lines intersect, the angles are referred to as linear. When two angles form a linear pair, their measures add up to 180°. As a result, a linear pair of angles everytime sum to 180°.From the given question;
The lines d || e.
Thus, both sum of both angles will be 180 by linear pair.
2x - 3 + 7x + 3 = 180
Solving;
9x = 180
x = 20
Thus, the value of x obtained for the given parallel lines is 20.
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I need help with problems
Given ratio:
[tex]\frac{3}{2}\text{ : }\frac{1}{4}[/tex]Multiply both sides by the L.C.M of their denominator
The L.C.M of 2 and 4 is 4
Hence:
[tex]\begin{gathered} 4\text{ }\times\frac{3}{2}\text{ : 4}\times\frac{1}{4} \\ 6\text{ : 1} \end{gathered}[/tex]The tutorial doesn't say anything about this and I need help. What is the slope and how do you find it
Answer:
i cannot see the lines very well, but i can tell you how to find slope
Step-by-step explanation:
slope is rise/run. find where the line hits a intersection on the graph, and count the squares across the graph where it hits another intersection. it should not be on the line though, because that is only the run. then count how many squares up it takes till you touch where the line hits another intersection. that is the rise. then divide the rise by the run.
(Look at picture) 8th grade pre-algebra math question, super easy!
The true statements about the solutions to this number line include the following:
A. -1 is a solution.
E. -1.5 is a solution.
F. All negative numbers are solutions.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
This ultimately implies that, a number line can be used to determine the difference between two numbers such as 23 and 12. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.
In conclusion, we can reasonably infer and logically deduce that an inequality which represent the solutions to this number line in interval notation is given by: -1 ≤ x ≤ ∞.
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What numbers are between 2/10 and 75% on a number line?
or
Jacob and Diego are racing to see who can get his community service hours for scouting completed first. Jacob, who has already completed 50 hours, plans to volunteer for 5 hours per week going forward. Diego hasn't started yet, but plans to dedicate 6 hours per week to his volunteer project from now on. Before too long, the boys will be tied, with the same number of volunteer hours. How long will that take?
Using system of equation, the solution shows that it will take 50 weeks before Jacob and Diego will be tied in the race to complete community service hours for scouting.
As given,
let us assign the unknown quantity (number of weeks) a variable x.
Jacob plans to devote 5 hours per week from now onwards. Hence his volunteer hours will cumulate to 5x+50 as he has already completed 50 weeks.
Diego plans to devote 6 hours per week from now onwards. Hence his volunteer hours will cumulate to 6x.
For Jacob and Diego to tie in the race, their volunteer hours should be equal.
Solution of the system of equation is given by:
6x = 5x+50
=> 6x-5x = 50
=> x = 50
Therefore, using system of equation, the solution shows that it will take 50 weeks before Jacob and Diego will be tied in the race to complete community service hours for scouting.
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plelaleasldle help aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
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Translate the phrase into an algebraic expression the sum of b and 9
It should be noted that translating the phrase into an algebraic expression the sum of b and 9 will be b + 9.
What is an algebraic expression?It should be noted that an algebraic expression in mathematics simply refers to the expression which is made up of constants and variables.
From the information given, we want to translate the sum of b and 9 into an expression. This will be:
= b + 9
Therefore, the expression is b + 9.
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Divide. Express your answer in scientific notation.
8.1×10^−7
3×10^−3
[tex]\frac{2.4}{10^{4} }[/tex] is the simplest form of scientific notation.
What is notation?In mathematical notation, operations, unnamed numbers, relations, and any other mathematical objects are represented by symbols that are combined into expressions and formulae. Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be expressed as 6.5 108 in scientific notation. A system of symbols for designating unique items. Example: In mathematics, the symbol "∞" stands for "infinity." There are many notations in mathematics.
Given Data
8.1×10^−7
3×10^−3
Dividing
[tex]\frac{8.1(10}{3(10}[/tex]⁷₃
[tex]\frac{8.1}{3}[/tex] × 10⁻⁷⁻⁽⁻³⁾
2.7 × 10⁻⁴
[tex]\frac{2.4}{10^{4} }[/tex]
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Tanisha earns $4,000 per month
after taxes. She saves $730. What
percent of her budget is savings?
Answer:
18.25%
Step-by-step explanation:
730/4000 = 0.1825
20% plain M&Ms are orange. Sample of 100 candies randomly selected. Find the man and standard deviation
Answer: μ=20, σ=4.0
Step-by-step explanation:
This right rectangular prism is filled with 1/3
foot unit cubes.
N
a. What are the actual dimensions of the prism?
b. How many unit cubes are in this prism?
C What is the total volume of the prism, in cubic feet?
UPLOAD
The most appropriate choice for right rectangular prism will be given by
a) Dimension of the prism = [tex]\frac{4}{3}[/tex] ft [tex]\times[/tex] [tex]1[/tex] ft [tex]\times[/tex] 1 ft
b) There are 36 unit cubes
c) Volume of prism = [tex]\frac{4}{3}[/tex] [tex]ft^3[/tex]
What is a right rectangular prism?
A geometrical figure which has 6 faces, 12 edges and 8 vertices is called a right rectangular prism.
If l is the length, b is the breadth and h is the height of right rectangular prism, volume will be l [tex]\times[/tex] b [tex]\times[/tex] h .
a) The right rectangular prism is filled with [tex]\frac{1}{3}[/tex] ft of unit cubes
Length of right circular prism = [tex]4 \times \frac{1}{3} = \frac{4}{3}[/tex] ft
Breadth of right circular prism = [tex]3 \times \frac{1}{3} = 1[/tex] ft
Height of right circular prism = [tex]3 \times \frac{1}{3} = 1[/tex] ft
Dimension of the prism = [tex]\frac{4}{3}[/tex] ft [tex]\times[/tex] [tex]1[/tex] ft [tex]\times[/tex] 1 ft
b) Number of unit cubes = [tex]4 \times 3 \times 3[/tex]
= 36 ft
c) Total volume = [tex]\frac{4}{3} \times 1 \times 1[/tex]
= [tex]\frac{4}{3}[/tex] [tex]ft^3[/tex]
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Complete Question
The diagram has been attached here