After dividing 451 by 51, we get a quotient of 008 and a remainder of 43.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
On a fundamental level, counting the instances in which one number is included within another is one interpretation of the division of two natural numbers.
It's not necessary for this number to be an integer.
For instance, if 20 apples are distributed equally among 4 persons, each person will get 5 of them.
So, we have 451/51.
Now calculate as follows:
451/51
Quotient = 008
Remainder = 43
(Refer to the image attached below)
Therefore, after dividing 451 by 51, we get a quotient of 008 and a remainder of 43.
Know more about division here:
https://brainly.com/question/25289437
#SPJ1
Complete the table below to represent the function: f(x)=x+4
Answer:
x 0 1 2 3 4
f(x) 4 5 6 7 8
Step-by-step explanation:
f(x) = x + 4
f(0) = 0 + 4 = 4
f(1) = 1 + 4 = 5
f(2) = 2 + 4 = 6
f(3) = 3 + 4 = 7
f(4) = 4 + 4 = 8
x 0 1 2 3 4
f(x) 4 5 6 7 8
Please help me solve!
Answer:
81.5%
Step-by-step explanation:
Note that 90 is 2 standard deviations away from 144, which accounted for 47.5% area
171 8 is 1 standard deviations away from the mean is which is 34% area.
So the total area is 81.5%
round the fraction or mixed number to the nearest 1/2.
4 and 8/9
answers
4
4 and 1/2
5
Write an equation howing the relationhip. Ue `E` to repreent energy and `d` to repreent the number of day
Equation for representing energy to the number of days E = P*( 1/d / 1000 )
This formula of energy is used to calculate the use of energy for a given period in a day . The consumption of energy is measured by multiplying the number of power units consumed in a given period.
E = P*(1/d/1000); where E = energy measured in Joules or kilowatt-hours (kWh), P = power units in watts, and d = time over which the power or energy was consumed in a day
Thus, whenever someone asks you how to calculate power consumption, you can calculate and answer using the above equation.
Energy consumption can be widely classified based on several factors such as worldwide energy consumption, its impact on the environment, etc.
To know more about Power consumption
https://brainly.com/question/29496263
#SPJ4
HELP!!! NEED ANSWER FAST
Answer:
y = 1.3x + 10
Step-by-step explanation:
as, y = 1.3 * 5 + 10
= 16.5
Answer: y = 1.3x + 10
Step-by-step explanation: 1.3 x 0 = 0→ 0 + 10 = 10
1.3 x 5 = 6.5→ 6.5 + 10 = 16.5
1.3 x 10 = 13→ 13 + 10 = 23
1.3 x 15 = 19.5→ 19.5 + 10 = 29.5
1.3 x 20 = 26→ 26 + 10 = 36
Hope this helps.
17
ning:
of
2
Find the Missing Angle
Instructions: Find the measure of the indicated angle.
Check
to
70°
The values of as shown in the isosceles triangle x is 55°
What is an isosceles triangle?An isosceles triangle is a type of triangle that have two equal sides.
To calculate the value of x in the isosceles triangle, we use the formula below.
Note: The sum of the angle in a triangle is 180°.
Formula:
180 = a+b+c............. Equation 1Where:
a,b,c = The three sides of the triangle respectively.From the image,
Given:
a = 70°b = c = xSubstitute these values into equation and solve for x
x+x+70 = 1802x = 180-702x = 110x = 110/2x = 55°Hence, the values of x is 55°
Learn more about isosceles triangle here: https://brainly.com/question/13664166
#SPJ1
A pair of shoes are priced at $35.99 but is on sale for 20% off. What is the sale price of the shoes?
Answer: $28.79
Find 20% of $35.99.
Then subtract that answer (7.2) from $35.99
your answer is
The shoes where on sale for $28.79
For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find m
The measure of m∠x is 110°
What is the Isosceles Triangle?
Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides.
We have,
given the triangle Δwxy,
m∠y = 35°, and
there are two similar sides to the triangle wx ≅ xy,
Properties of an Isosceles Triangle are:
The two sides are congruent with each other.
The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.
The two angles opposite to the equal sides are congruent with each other. That means it has two congruent base angles and this is called an isosceles triangle base angle theorem.
The angle which is not congruent to the two congruent base angles is called an apex angle.
The altitude from the apex of an isosceles triangle bisects the base into two equal parts and also bisects its apex angle into two equal angles.
The altitude from the apex of an isosceles triangle divides the triangle into two congruent right-angled triangles.
The two angles opposite to the equal sides are congruent with each other.
so, m∠w = m∠y = 35°
The sum of measure of the angles of the isosceles triangles is 180.
so,
m∠w + m∠x + m∠y = 180
35 + 35 + m∠x = 180
m∠x = 180 - 70
m∠x = 110°
Hence, the measure of m∠x is 110°.
To learn more about the Isosceles Triangle visit,
https://brainly.com/question/29793403
#SPJ1
Ms. Wilson purchased a welcome mat for her front porch that is a semicircle. The straight side of the mat is 38 inches. To the nearest hundredth, what is the area of the porch mat?
Answer:
567.06 in.²
Step-by-step explanation:
The mat is a semicircle.
The straight side is a diameter.
d = 38 in.
r = d/2 = 19 in.
Area of circle = πr²
Area of semicircle = πr²/2
A = 3.14159 × (19 in.)² / 2
A = 567.06 in.²
Indicate whether the measures 4. 35, 5. 8, and 7. 25 can be the side lengths of a triangle. If they can, classify the triangle. PLEASE HELP!!
yes; right
yes; obtuse
yes; acute
no
Classification of given triangle is right angle triangle.
Let's suppose a, b and c are the sides of a triangle.
then we know that sum of 2 sides is always greater than third side.
a + b>c
b + c>a
c + a>b
a = 4.35, b = 5.8 , c = 7.25
a + b>c 4.35+5.8 = 10.15>7.25
b + c>a 5.8 + 7.25 = 13.05>4.35
c + a>b 7.25+4.35 = 11.60>5.8
So now we can say given side lengths are representing sides of a triangle.
It generalizes the Pythagorean Theorem, which states that for a right-angled triangle square of the hypotenuse is equal to the sum of squares of the base and height of the triangle, which is [tex]c^2 = a^2 + b^2[/tex]
Similarly, It can be observed that
For acute-angled triangle
[tex]c^2 < a^2 + b^2[/tex]
For Obtuse-angled triangle
[tex]c^2 > a^2 + b^2[/tex]
[tex]a^2 + b^2[/tex] = 18.9225 + 33.64 = 52.5625
[tex]c^2[/tex] = 52.5625
clearly we can see that [tex]a^2+b^2 = c^2[/tex]
So given triangle is Right-angled triangle.
To know more about triangle here
https://brainly.com/question/14366937
#SPJ4
7) Skyler buys 8 T-shirts and 5 hats for $220. The next week, he buys 5 T-shirts and 1 had for $112. How
much does each T-shirt and each hat cost? Write a system of equations that can be used to solve the problem.
Step-by-step explanation:
As given in question that Skyler buys 8 T-shirts and 5 hats for $220.
The next day, he buys 5 T-shirts and 1 hat for $112.
We have to find the cost of T-shirt and hat each.
Let the cost of T-shirt and hat is x and y respectively.
According to the question,
8x + 5y = 220 ............(i)
5x + 1y = 112 ............(ii)
Multiply by 5 in eq. (ii)
25x + 5y = 560 ............(iii)
Now subtract eq. (iii) - eq. (i)
25x + 5y = 560
- 8x + 5y = 220
17x = 340
[tex]x = \frac{340}{17}[/tex]
∴ x = 20
Put the value of x in eq. (ii)
5 x 20 + y = 112
100 + y = 112
y = 112 - 100
∴ y = 12
Hence the cost of each T-shirt and each hat is $20 and $12 respectively.The equation of a line is y = 2x - 4. If the equation is changed to y = 2x - 2, how will the graph of the line change?
Responses
A The line will become less steep.The line will become less steep.
B The line will shift right 2 units.The line will shift right 2 units.
C The line will shift up 2 units.The line will shift up 2 units.
D The line will shift left 2 units.The line will shift left 2 units.
E The line will shift down 2 units.
The equation of a line is y = 2x - 4. If the equation is changed to y = 2x - 2, how will the graph of the line change?
A The line will become less steep.
B The line will shift right 2 units.
C The line will shift up 2 units.
D The line will shift left 2 units.
E The line will shift down 2 units.
(2x)/(25)=(0.4)/(0.15)
a certain statistic dˆ is being used to estimate a population parameter d. the expected value of dˆ is not equal to d. what property does dˆ exhibit?
Using the Central Limit Theorem for proportions, the correct option is:
E. The statistic is biased.
What is Central Limit Theorem?
The central limit theorem in probability theory proves that, even if independent random variables are not normally distributed in themselves, in many cases, when they are added together, their properly normalised sum tends toward a normal distribution.
The central limit theorem states that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently large random samples from the population with replacement.
The Central Limit Theorem establishes that for a proportion p in a sample of size n:
- The expected value is[tex]$\mu=p$[/tex].
- The standard error is [tex]$s=\sqrt{\frac{p(1-p)}{n}}$[/tex]
In this problem, the expected value is different of the expected of [tex]$\mu=p$[/tex], hence, the statistic is biased, and the correct option is [tex]$\mathbf{E}$[/tex].
For more on the Central Limit Theorem, you can check brainly.com/question/4086221
#SPJ4
Mr. Radmanic and Mrs. Chin both fill up their cars with gasoline at the beginning of the week. The equation compares the number of miles driven, x, to the amount of gasoline in the tank, y. Find and compare the y-intercepts for the models and interpret their real world meanings
The y-intercepts for the models are equal to 13.2.
What is slope?A line's steepness and direction are measured by the line's slope.
Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all
Any two different points on a line can be used to calculate the slope of any line.
A line's slope is determine by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.
Two locations located on a straight line can be used to determine a line's slope. We can use the slope of line formula if we know the two spots' coordinates. These two points' coordinates should be-
P1 = (x1, y1) and P2 = (x2, y2)
Hence, The y-intercepts for the models are equal to 13.2.
learn more about slope click here:
brainly.com/question/3493733
#SPJ4
Margaret said the exact product of 602 and 341 is 205,282 . Is she correct prove it by showing an algorithm:
Yes, she is. The exact product of 602 and 341 is 205,282.
What is algorithm in math?In mathematics, an algorithm is a process, a description of a series of steps that can be used to solve a problem; however, they are now far more prevalent than that. Although many areas of research (and daily life) use algorithms, long division's step-by-step process is probably the most prevalent example.
To determine the exact product of 602 and 341, both numbers must be multiplied, obtaining the result. To do this, said number can be decomposed, to facilitate the operation and to be able to corroborate the accuracy of the result.
So, we can multiply 602 by 300, plus 602 by 40 and 602 by 1, and add the results.
Therefore, since 602 times 300 is equal to 180,600 (602 x 300 = 180,600); that 602 times 40 is equal to 24,080 (602 x 40 = 24,080); and since 602 times 1 is equal to 602, all those values must be added.
So 180,600 plus 24,080 equals 204,680. And in turn, 204,680 plus 602 equals 205,282. Therefore, the proposed result is correct.
Learn more about algorithm link below
https://brainly.com/question/11302120
#SPJ1
hree people are asked to throw a fair die. what is the probability that all of them get the same number
The probability that all of them get the same number is 1/36.
Given :
Three people are asked to throw a fair die.
Probability :
Probability is a branch of mathematics that deals with the occurrence of a random event.
In one dice probable outcomes 1, 2, 3, 4, 5 and 6
Total out comes in three dice = ( 6 * 6 * 6 = 216 )
Probability of getting 1 = 1/216
Similarly for 2, 3, 4, 5 and 6
Probability of getting same number = 6 * 1/6 * 1/6 * 1/6
= 6*1/6 * 1 * 1 / 6 * 6
= 6/6 * 1/36
= 1 * 1/36
= 1/36
Learn more about the probability here:
https://brainly.com/question/11234923
#SPJ4
Consider y=1/2x+1. a. Complete the table for the equation. x y 0 2 4
The table can be completed as follows x = 0, 2, 4 we get y = 1, 2, 3 for the linear equation [tex]y = \frac{1}{2}x + 1[/tex].
What is a Linear Equation ?If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.
Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.
Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalises the two sides of the equation.
A specific point on the graph represents the solution of a linear equation in two variables, ax+by = c, where the total of these two values will equal c when the x-coordinate is multiplied by a and the y-coordinate by b.
Basically, there are infinitely many solutions to a linear equation with two variables.
The equation is :
[tex]y = \frac{1}{2}x + 1[/tex]
So, when x = 0
y = 1,
when x = 2
y = [tex]\frac{1}{2}*2 + 1[/tex] = 1 + 1 = 2
and , when x = 4
y = [tex]\frac{1}{2}*4 + 1[/tex] = 2+ 1 = 3
To learn more about linear equation refer to :
https://brainly.com/question/13465579
#SPJ1
Jordan and his children went into a restaurant and he bought $26 worth of drinks and tacos. Each drink costs $2. 50 and each taco costs $2. He bought 4 more tacos than drinks. Write a system of equations that could be used to determine the number of drinks and the number of tacos that jordan bought. Define the variables that you use to write the system.
Using the equations 2x+2.5y=26 and x=y+4, Jordan also brought 4 beverages and 8 tacos.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical sentence with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.
Here,
Let x be the tacos and y be the drinks,
cost of each drink=$2.5
cost of each tacos=$2
2x+2.5y=26
x=y+4
2(y+4)+2.5y=26
2y+8+2.5y=26
4.5y=18
y=18/4.5
y=4
x=y+4
x=8
Jordan brought 8 tacos using the system of equation as 2x+2.5y=26 and x=y+4 as well as 4 drinks.
To know more about equation,
https://brainly.com/question/649785
#SPJ4
HURRY I GOT 24 HOURS FOR THIS PLEASE HURRY!!!!!!
The area of the triangle below is 25/24
square inches. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
Base is 5/2
Step-by-step explanation:
lets say that 2x = the base.
25/24 = 2( [tex]\frac{1}{2}[/tex]([tex]\frac{5}{6}[/tex])x)
[tex]\frac{25}{24}[/tex] = 2( [tex]\frac{5}{12}[/tex]x)
[tex]\frac{25}{24}[/tex] = [tex]\frac{5}{6}[/tex]x
[tex]\frac{25}{24}[/tex] times [tex]\frac{6}{5}[/tex]= x
5/4 =x
2x = 10/4
2x = 5/2
Find the volume of this right solid. The base is a square with
sides 6 meters long. The cylindrical hole has a diameter of 3 m.
Round answer to 2 decimal places.
The volume of the cylinder is 21.2m³
Volume of a CylinderThe volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. The formula is given as πr²h, where r is the radius of the circular base and h is the height of the cylinder.
V = πr²h
v = volumer = radius = diameter / 2h = heightradius = diameter / 2
radius = 3 /2
radius = 1.5m
v = π × 1.5² × 3
v = 21.2m³
Learn more on volume of a cylinder here;
https://brainly.com/question/10390389
#SPJ1
due a cupple days ago pls help meee
Answer:
(0, 2 )
Step-by-step explanation:
If the dilatation is centred at the origin then the original coordinates are multiplied by the scale factor , that is
B (0, 4 ) → ( [tex]\frac{1}{2}[/tex] (0), [tex]\frac{1}{2}[/tex] (4) ) → (0, 2 )
PLEASE HELP< I DONT UNDERSTAND THIS
y=1/3x+4 is the equation of line passing through (3, 5) and parallel to -x+3y=6
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
-x+3y=6
3y=6+x
Divide both sides by 3
y=2+1/3x
y=1/3x+2
slope is 1/3
In parallel lines the slope will remain same
We need to find the equation of line passing through (3, 5) and parallel to 3y=6+x
5=1/3(3)+b
5=1+b
b=4
Hence, y=1/3x+4 is the equation of line passing through (3, 5) and parallel to -x+3y=6
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ1
make g the subject of 3e+4g=7+9eg
Answer:
g= 7-3e / 4 - 9e
Step-by-step explanation:
I assume you need to solve for g. Please let me know if that is not the case
the quotient of four and a number increased by ten as an algebraic expression
Answer:
(x/4)+10
Step-by-step explanation:
Quotient=division, so x/4
Increased by 10, so (x/4)+10
WILL VOTE BRAINLIEST IF POSSIBLE!!
What is the relationship between the following two sequences? Sequence 1: 0, 1, 2, 3, 4, 5… Sequence 2: 0, 4, 8, 12, 16, 20… Group of answer choices The terms in Sequence 2 are four times as large as the terms in Sequence 1. The terms in Sequence 2 are twice as large as the terms in Sequence 1. The terms in Sequence 2 are three times as large as the terms in Sequence 1. The terms in Sequence 2 are half as large as the terms in Sequence 1.
Answer:
The terms in Sequence 2 are four times as large as the terms in Sequence 1.
Step-by-step explanation:
If we take a look at the numbers,
Sequence 1: 0, 1, 2, 3, 4, 5
Sequence 2: 0, 4, 8, 12, 16, 20
We can see that 0 × 4 = 0,
1 × 4 = 4,
2 × 4 = 8,
And so on.
We can also see in sequence 2 that 4 is added to each of the numbers every time, whereas the first sequence is simply counting up.
Therefore, we can conclude that the terms in Sequence 2 are four times as large as the terms in Sequence 1.
Find the equation of a line parallel to y=-3 passing through the coordinate (2 6).
The equation of line parallel to y = -3 passing through (2,6) is y = 6
The slope-intercept form of straight line is used to find the equation of line. It is given as y =mx + b
where m is a slope of line
b is y-intercept
According to the question,
The required line is parallel to line y = -3
Slope of given line : m₁
m₁ = 0
When two lines are parallel to each other then their slopes are equal
Therefore , slope of required line is m₂ = m₁ = 0
Also , given that the line is passing through the coordinate (2,6)
So , 6 = 0(2) + b
=> b = 6
Substituting the values of slope and intercept
y = 6 is required equation of line
To know more about Equation of line here
https://brainly.com/question/21511618
#SPJ4
Over which interval is this function continually decreasing? f(x) = |4(x - 1)| + 2
The interval at which the function f(x) = |4(x - 1)| + 2 is decreasing is (- ∞, 1).
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
We know in an absolute value function y = |x - h| + k, the vertex is (h, k) and it changes its direction from here.
Given, f(x) = |4(x - 1)| + 2 has a vertex at (1, 2).
Therefore the interval where the function is continuously decreasing is
( - ∞, 1).
learn more about absolute value functions here :
https://brainly.com/question/13103168
#SPJ1
Help me solve this two column proof!
The two column proof is written as follows
Statement Reason
AD ≅ BD ≅ CD given
ΔADB and ΔCDB are isosceles Base angles are equal
< A = < C = < ABD = < CBD = x Definition of isosceles triangle.
< ABC = < ABD + < CBD Adjacent angles
< ABC = x + x = 2x Substitution property of equality
< ABC + < A + < C = 180 Sum of angels of a triangle
2x + x + x = 180 Substitution property of equality
4x = 180 Addition property of equality
x = 45 degrees Division property of equality
< ABC = 2x = 2 * 45 Substitution property of equality
< ABC = 90 Definition of right triangle
What is a right triangle?A triangle is said to be a right triangle if one of the angles is 90 degrees. Right angles are angles that are 90 degrees.
The proof required to proof that < B is 90
With the isosceles triangle giving and the equal sides the equation is written as
4x = 180
x = 45
< B has 2x (< ABD + < CBD) these are adjacent angles
< B = 2 * 45
< B = 90
Learn more on proof involving angles here:
https://brainly.com/question/29189788
#SPJ1
write the following algebraically using x as unknown
"i think of a number , take away 1 and multiply the result by 3
Answer: (x-1) 3
Step-by-step explanation:
This is equation you want
x is unknown -1 in the mark and then times 3!