Select all the equations where r 3 is a solution.​

Answer:

Number of offices in the building = 115

Step-by-step explanation:

Let x be the total number of offices.

Then 80% x= 92 or 80/100 * x =92

Hence, x = 92*100/80 = 9200/80= 115

Answer:

7 in.

Step-by-step explanation:

1 in - - > 12 ft

x in - - > 84 ft

----------------------

12*x=84 - - >x=7in

Answer:

The fractions are equivalent.

Step-by-step explanation:

2/4 can be simplifyed as 1/2 meaning they are equivalent.

Candy shaded 2/4 and Hershel shaded 1/2 represent the same amount of shaded area on their respective square papers.

To determine whether the fractions 2/4 and 1/2 are equivalent, we can simplify both fractions and compare them.

First, let's simplify the fraction 2/4:

The numerator and denominator of 2/4 have a common factor of 2. By dividing both the numerator and denominator by 2, we get:

2/4 ÷ 2/2 = 1/2

Now, let's compare the simplified fraction 1/2 to the fraction 1/2 that Hershel shaded.

Since both fractions are now 1/2, we can conclude that the fractions are indeed equivalent. Therefore, Candy shaded 2/4 and Hershel shaded 1/2 represent the same amount of shaded area on their respective square papers.

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Answer: Slope is the measure of the steepness of a line. It can be calculated with the equation rise/run or change in y/change in x.

Step-by-step explanation:

Answer:

6; 40

Step-by-step explanation:

Problem 1:

Based on the triangle similarity theorem, we would have the following equation:

Let the missing side length = x

Thus:

(15 + x)/15 = 14/(14 - 4)

(15 + x)/15 = 14/10

(15 + x)/15 = 7/5

Cross multiply

5(15 + x) = 7*15

75 + 5x = 105

5x = 105 - 75

5x = 30

x = 30/5

x = 6

Missing side = 6

Problem 2:

Applying similarly theorem also, we have:

Let the missing side = x

x/(x - 25) = 24/(24 - 15)

X/(x - 25) = 24/9

x/(x - 25) = 8/3

Cross multiply

x*3 = 8(x - 25)

3x = 8x - 200

3x - 8x = -200

-5x = -200

x = -200/-5

x = 40

Missing side = 40

Answer:

Step-by-step explanation:

1.11

The expected value for the number of siblings of a randomly chosen student is 1.11.

The correct answer is C. 1.11.

To calculate the expected value for the number of siblings of a randomly chosen student, we need to multiply each possible number of siblings by its corresponding probability and sum up the results.

Expected Value = (0 x 0.18) + (1 x 0.65) + (2 x 0.09) + (3 x 0.05) + (4 x 0.02) + (5 x 0.01)

Expected Value = 0 + 0.65 + 0.18 + 0.15 + 0.08 + 0.05

Expected Value = 1.11

Therefore, the expected value for the number of siblings of a randomly chosen student is 1.11.

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Answer:

Hello Love! Answer: 1, 2

Step-by-step explanation:

dilating by 1/2 is just a fancy way of saying divide the coordinates by 2 so 2÷2 = 1 and 4 ÷ 2 = 2

Hope this helps! Was doing this is math this week!

Answer:

they are alternate interior angles to parallel lines.

Step-by-step explanation:

The reason for this is that they are alternate interior angles to parallel lines. The straight dotted lines that represent the line of sight of each individual are parallel to each other while the elevation line in this scenario would be considered the Transversal as it passes through both of them. This ultimately causes the angles between the transversal and the line of sight to be alternate interior angles which are equal to one another, as can be seen in the attached demonstration in the image below.

Answer:

Both are TRUE

Step-by-step explanation:

✔️The statement, "angles 1 and 5 are corresponding angles" is TRUE.

Rationale/reason:

Angles that have corners that match are called corresponding angles. Angles 1 and 5 are angles found in the corners that match each other. Therefore, they are corresponding.

✔️The statement, "Angle 6 is congruent to angle 4" is TRUE.

Rationale/reason:

When two lines that are parallel is crossed by a transversal, the alternate interior angles formed are congruent to each other.

Angles 4 and 6 are interior angles that alternate each other along the transversal. Therefore they are congruent to each other.

Answer:

1.2X = $

Step-by-step explanation:

Para construir una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros, se debe realizar el siguiente razonamiento lógico matemático:

1.2(variable fija) x X (número de billetes vendidos) = $ (Dinero recaudado)

1.2X = $

Por lo tanto, si por ejemplo se hubiesen vendido 100 billetes, la ecuación operaría de la siguiente manera:

1.2 x 100 = $

120 = $

Answer:

A B D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

hope this helps :))))

Answer:

8x^2 - 26x - 10

Step-by-step explanation:

3(6x2 + 3x - 5 ) = 18x^2 + 9 -15

5(2x2 + 7x - 1) = 10x^2 + 35 - 5

18^2 - 10x^2 = 8x^2

9x - 35x = - 26x

-15 -(-5) = -10

final answer = 8x^2 - 26x - 10

Answer:

B) Box-and-Whisker plot

Answer:

96 in.²

Step-by-step explanation:

Surface Area of the prism = 2(area of the 2 equal triangles) + area of rectangle A + rectangle B + rectangle C

✔️Area of the two triangles with the following dimensions:

height = 3 in.

base = 4 in.

Area = 2(½*4*3) = 12 in.²

✔️Area of rectangle A = L*W

L = 7 in

W = 5 in

Area of rectangle A = 7*5 = 35 in.²

✔️Area of rectangle B = L*W

L = 7 in

W = 4 in

Area of rectangle B = 7*4 = 28 in.²

✔️Area of rectangle C = L*W

L = 7 in

W = 3 in

Area of rectangle C = 7*3 = 21 in.²

✔️surface area of the prism = 12 + 35 + 28 + 21 = 96 in.²

Answer:

$38 880

Step-by-step explanation:

So for 7 days it costs $90 720

First we need to find what 1 day cost

So you will divide $90 720 by 7

90 720÷7= $12 960

To find the cost for 3 days your gonna multiply $12 960 by 3

12 960×3= $38 880

Answer:

I think 5?................

Answer:

The cost of a school banquet is $75+30n, where n is the number of people attending.

If 53 people are attending to visit school banquet, then you have to find the value of given expression at n=53.

At n=53, the value is $(75+30·53)=$1,665.

Step-by-step explanation:

Answer:

C = 45d + 15

Step-by-step explanation:

105= (45 x 2) + 15

The equation represents the condition of the function as a linear function. Then the linear equation is C = 45d + 15.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The cost, C, to rent a car for d days is shown in the table.

Days (d) Cost (C)

  2         $105

  4         $195

  5         $240

  6         $285​

Then the linear equation of the given table will be

Let d be the number of days and C be the total cost.

[tex]\rm C - 285 = \dfrac{285-240}{6-5} (d-6)\\\\C - 285 = 45d - 270\\\\45d - C = -15 \\\\C - 45d = 15[/tex]

More about the linear system link is given below.

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1 pound = 16 ounces

2 pounds = 32 ounces

4 + 12 + 16 = 32

Use the 4, 12 and 16 ounce weights.

Answer:

Solution given:

1 pound = 16 ounces

2 pounds = 32 ounces

we have 32=4×12×16

so

the 4, 12 and 16 are ounce weights.

Answer:

$2.49

Step-by-step explanation:

pasta + drink = $14.48

$11.99 + drink = $14.48

Subtract $11.99 from both sides.

drink = $14.48 - $11.99

drink = $2.49

Answer: $2.49

Answer:

probability of selecting the square is 63.7% approximately

Step-by-step explanation:

First of all, the probability of the point of choice is within the red square can be obtained with this formula

probability = expected outcome / total number of possible outcomes

In this case, we are not dealing with discrete values which can be counted. instead, we are dealing with areas.

We are to go about this problem by finding the area of the internal square and dividing it by the area of the circle.

Area of the square

Area of the square = [tex]l^2[/tex]

where length = [tex]4\sqrt{2}[/tex]

Area = [tex](4\sqrt{2}) ^2 = 32cm^2[/tex]

Area of the circle

Area of the circle = [tex]\pi r^2[/tex]

area of circle =[tex]\pi \times 4^2 =50.26cm^2[/tex]

Probablity of selecting the square =

32/50.26 = 0.6366

To express this as a percentage, we multiply our answer by 100.

This will give us 0.6366 X 100 = 63.7% approximately

Answer:

2p=18

2p=2p the answer is p=9

Step-by-step explanation:

Answer:

11,15,7

Step-by-step explanation:

11+15+7=33 33/3=11 the mean

then 15-7=8 the range

Answer:

D. r = 90

A. r = -0.85

Explaination:

• r = 1 is perfect and strong.

• So r = 90 is strong but not perfect.

• Same with -0.85, but as negative.

-0.85, and 0.90 indicate a strong relationship between the two variables but not a perfect linear association between the two variables option (A) and (D) are correct.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

We have a value of correlation coefficients.

We know when the correlation coefficient r is 1 then we can say the relation between two variables is perfect and strong.

When the value of correlation coefficients lies between 0.8 to 1 the relation between two variables is said to be strong.

Similarly when the value of correlation coefficients lies between -0.8 to -1 the relation between two variables is said to be strong.

For the r = -0.85, this indicates a strong relationship but is not perfect.

For the r = -0.10 this indicates a weak relationship but is not perfect.

For the r = 0.15 this indicates a weak relationship but is not perfect.

For the r = 0.90 this indicates a strong relationship but is not perfect.

For the r = 1 this indicates a strong relationship and perfect.

Thus, -0.85, and 0.90 indicate a strong relationship between the two variables but not a perfect linear association between the two variables option (A) and (D) are correct.

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Answer:

55

Step-by-step explanation:

Answer:

55 cubic units

Step-by-step explanation:

you subtract 60 and the amount of cubes there are (5)

60-5=55

Answer:

60 degrees

Step-by-step explanation:

Formula is 360/n & n= number of sides the shapes have .. so 360/6 =60

Answer:

As per dot plots we see the distribution of prices is close but majority of prices are concentrated in different zones. So MAD would be more similar by the look.

Let's verify

Data

Mean

MAD

Data

Mean

MAD

As we see the means are too different (75 vs 124) than MADs (15 vs 20.4).

Answer

the image isnt very clear

Step-by-step explanation: