A traffic radar records the speed of cars driving through an intersection. It records these statistics:

Mean=36.2 mph
Median=28.5 mph
Mode=30.0 mph

What is the most common speed of a car driving through the intersection?
a. 31.6
b. 36.2
c. 30.0
d. 28.5

The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Hence, when a figure is a dilation of another figure, the two figures are scale drawings.

For this problem, the ratio between the bases of the rectangles is given as follows:

12/6 = 2.

The ratio between the height of each rectangle is given as follows:

6/2 = 3.

As the ratios are different, the two figures are not scale drawings of one another.

For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.

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On solving the provided question, we can say that - y proportional to  as the cube of s, y = ks3, then  8 = k * 23 => k = 1 then y  = 1 * 53 = 125

If two numbers are directly proportional, then as one quantity grows by a specific percentage, so does the other quantity by the same percentage. As an illustration, as gas costs rise, the price of food may also increase. If the ratio of two values x to y never changes, then x and y are said to be directly proportional to one another. example: Let's say you spend Rs. 50 on two pens. 4 pens cost 100 rupees each. If the ratio of two numbers, x and y, is greater than 1, then the two values The value of y1 is constant.

Since y proportional to  as the cube of s, y = ks3.

8 = k * 23 => k = 1

then y  = 1 * 53 = 125

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Therefore , the solution of the given problem of percentage comes out to be time n = 3 years.

A figure or ratio that is stated as a percentage of 100 is referred to as a percentage in mathematics.  However, the percent symbol ("%) is usually used to denote it." The percent amount is flat. When the numerator is 100, percentages are really just fractions. Put the standard form (%) next to a number to show that it is a percentage. For instance, if you correctly respond to 75 out of questions in total on a test, you receive a 75% (75/100).

Here,

Given: 1757600 more people overall

Population as of now: 1562500

According to the issue,

=> 1562500[tex](1 + 4/100 )^{n}[/tex] = 1757600

=> [tex](26/25)^{n}[/tex] =  1757600/ 1562500

=>  [tex](26/25)^{n}[/tex]=  [tex](26/25)^{3}[/tex]

On comparing,

n=3

Therefore , the solution of the given problem of percentage comes out to be time n = 3 years.

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On solving the provided question, we can say that -  here in quadrilateral we have x + 146 + 47 + y = 360 => [tex]x= 83.5[/tex]

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here,

x + 146 + 47 + y = 360

2x + 193 = 360

2x = 167

[tex]x= 83.5[/tex]

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Not necessary when solving this system of equations by graphing is

to determine the shaded area for each line. The correct option is C.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.

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Answer: 10:48 AM

Explanation:

Two bulbs flash at regular intervals of 30 and 36 seconds respectively. LCM of 36 and 30 = 180. 180/60 = 3 minutes. They will flash together every 3 minutes. If they flash together at 10:45, the second time they will flash together will be 10:45 + 3 minutes = 10:48.

Hope this helps!!! :)

The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.

To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.

According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.

Note: This question is incomplete because there is some information missing. Here is the complete information:

image attached

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Of course, a businesswoman who is extremely wealthy. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line.

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Answer:

0.23 is the answer

I wish you luck in your assignments.

Using the formula for the midpoint of the line with given points  A and B as the end points of the line, the coordinates of the point B is (6,-8).

To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.

What is the formula for finding the midpoint of a line segment?

The formula for finding the midpoint of a line segment is:

Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )

Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.

Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line,  and using the midpoint formula for a line AB,

Midpoint(M) = [tex](\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]

where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B

so , (7,-7) = [tex](\frac{8+x2}{2} , \frac{-6+y2}{2})[/tex]

equating the corresponding points,

7 =(8+x2)/2

therefore, x2 = 6

and , -7 = (-6+y2)/2

therefore , y2 = -8

Hence the coordinates of B is , (x2,y2 ) = (6,-8)

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The representation of the set builder notations are:

From the question, we have the following parameters that can be used in our computation:

The set builder notations

Solving: set builder notation 1

This is given as

{y | 22.3 < y ≤ 77.5}

The less than (<) operator means that the smallest value of y is greater than 22.3 and the operator ≤ means that the highest is 77.5

Solving: set builder notation 2

This is given as

{w | w ∈ Z}

The notation Z means integers

This means that the set w is the set of all integers

Solving: set builder notation 3

This is given as

{x | x > -1}

The greater than (>) operator means that the smallest value of y is greater than -1

Solving: set builder notation 4

This is given as

{t | t ∈ Q}

The notation Q means rational numbers

This means that the set t is the set of all rational numbers

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Answer:

Let y be the expression for the minutes you do both activities.then

y=m+30 is the required expression

The table is filled as described , shown below.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Rate per hour is $11.25

Number of regular hours is 40

Payment for regular hours:

time multiply with payment=

40*$11.25 = $450

Again, we have,

Rate per overtime hour:

$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)

Number of overtime hours:

48.5 - 40 = 8.5

Payment for overtime hours:

$16.88*8.5 = $143.48

Now, we get ,

Gross payment is the sum of regular and overtime payments:

$450 + $143.48 = $593.48

Hence, he would get $593.48

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Step-by-step explanation:

160g=100%

72%=72/160*100

=45

On solving the provided question, we can say  that -  the linear equations, is [tex]x =10 / 5 = 2 = > x=2[/tex]

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

Here,

to solve the system of equations given. .

[tex]2x + y = 4 \\+\\3x - y = 6\\= > 5x =10[/tex]

system of equations  2x + y = 4  ,

6=3x-y is 5x =10

The value of x :

[tex]x =10 / 5 = 2\\ x=2[/tex]

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Answer:

P. Sue uses 1/6 of the pitcher to fill 1 glass

Step-by-step explanation:

By using the formula for the perimeter, we will get that the width of the pool is 20 meters.

Remember that for a rectangle of length L and width W, the perimeter is given by the formula:

P = 2*(L + W)

In this case, we know that the perimeter is 90m, and the length is 25m, then we know that:

P = 90m

L = 25m

Replacing that in the formula above we will get:

90m = 2*(25m + W)

now we can solve this for W.

90m/2 = 25m + W

45m - 25m = W

20m = W

The width of the pool is 20 meters.

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Answer:

x= -4/19

Step-by-step explanation:

19x+4

19x+4=0

19x= - 4

x= -4/19

Answer:

19

Step-by-step explanation:

Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?

25&25  

If Karen Has 6 Less Then Kate, Karen Would Have 19 CDS

Hope This Helps

Answer:

Option E) 1400

Step-by-step explanation:

Based on the given conditions, formulate: 70‰ x 2000

Convert the percentage to decimals: 0.7 x 2000

Calculate the product or quotient: 1400

Hence , the answer is 1400

The area of the hot tub is 6079.04 in²

To determine the approximate area required for the installation of the hot tub. You can use the area of  a circle.

The area of  a circle is given by A = πr²

where r is the radius of the circle

Since the hot tub to have a diameter of 88 inches, the radius will be  88/2 = 44 inches. π = 3.14.

Thus, area of  the hot tub will be:

Area of hot tub = 3.14 × 44² = 6079.04 in²

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Answer: t=-20

Step-by-step explanation:

Answer:

30 quarts= 0.8057 bushels

rounded to the nearest hundredths = 0.81

1. The number that must be multiplied by (5x + 6) to result in the expression 20x + 24 is 4.

2. An expression representing the miles driven on each day of the road trip and a final simplified expression of the total drives in three days are as follows:

a) Day 1: x

b) Day 2: 2x + 10

c) Day 3: x - 100

d) Final simplified expression to represent total miles driven in three days: 4x + 10 - 100.

e) A real-world situation in which order matters when writing the expression x - 100 is that the value of x is supposed to be more than the value of 100.

A mathematical expression is the combination of constants, numbers, mathematical operators, and variables without the equation sign (=).

Literarily, a mathematical expression is like a phrase in the English language because it does not make complete sense without the equation sign.

1) Multiplication:

(20x + 24) ÷ (5x + 6) = 4

Check:

4(5x + 6) = 20x + 24

2) Road Trip Expressions:

Day one driving distance = x miles

Day two driving distance = 2x + 10

Day three driving distance = x - 100

Total distance = x + 2x + 10 + x - 100

= 4x + 10 - 100

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Answer:

I'm not quite sure what the question is here but in order to buy tickets to a hockey game, you can type the hockey team or game into the web browser and select their website then select the time and dates you'd like to see the game

Hope this helps!