Pls help me with this

Answer: 2, 8, 96cm^2, 35 miles

What we know:

How to solve:

    By using our knowledge of ratios and substitution, we can solve these problems.

First problem

Set up ratio                                                             7.5:15

Find GCF                                                                (7.5:15)/7.5

Simplify                                                                   1:2

Solution:                                                                  2  

Second problem

Set up equation                                                     (x/10) = (6/7.5)

Rewrite                                                                   (x/10) = (60/75)

Simplify                                                                   (x/10) = (4/5)

Common denominator                                          (x/10) = (8/10)

Isolate variable                                                      [(x/10) = (8/10)]*10

Simplify                                                                    x = 8

Solution:                                                                  8

Third Question

where x represents the new width, y represents the new length, and A represents the new area.

Set up equation                                                    A = xy

Substitute                                                              A = (2*4)(2*6)

Simplify                                                                  A = (8)(12)

Simplify                                                                  A = 96

Solution:                                                                96 cm^2                                                      

Fourth Question

Where x represents the unknown length in miles

Set up equation                                                    (21:3) = (x:5)

Rewrite in fraction form                                        [(21/3)] /3 = (x/5)

Simplify                                                                   (7/1) = (x/5)

GCF                                                                        5(7/1) = (x/5)

Isolate variable                                                       [(35/5) = (x/5)]*5

Solution:                                                                  35 miles = x

Problem 1:

If the scale factor is 2, then the area of a square with the side measurement of 7.5 units should be (due to areas being squared) 1/2^2 of the square with the side measurement of 15 units. Let's solve this:

(1/2^2)(15*15) = (7.5*7.5)

(1/4)(15^2) = (7.5^2)

225/4 = 56.25

56.25 = 56.25

Therefore, a scale factor of 2 is correct.

Problem 2:

If x = 8, then 8/10 should equal 6/7.5. Let's solve this:

when x = 8:

8/10 = 6/7.5

0.8 = 0.8

Therefore, x = 8 is a correct solution.

Problem 3:

If a scale factor of 2 creates the new area of 96 cm^2, then the old area of (6*4) should be (due to areas being squared) 1/2^2 of the new area. Let's solve this:

(1/2^2)(96) = (6*4)

(96/4) = 24

24 = 24

Therefore, the new area is 96 cm^2.

Problem 4:

If the houses are 35 miles apart, then 3 in./21 mi. should be equal to 5 in./35 mi. Let's solve this:

(21/3) = (35/5)

7 = 7

Therefore, the houses are 35 miles apart.

Answer:

373 in

Step-by-step explanation:

I hope this is right and it helps you!

Answer:

390m^2

Step-by-step explanation:

The Surface Area of a triangular prism is L(s1 + s2 + s3) + 2*base area

a = 5m

b = 12m

c = 13m

L = 11m

First, we need to find the base area...

base area = (a*b)/2

(5*12)/2 = 30 m^2

Next, find the surface area

A = 11(5 + 12 +13) + 2*30 = 390 m^2

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

A. 1.609344 km

B. 0.62137119 m

Step-by-step explanation:

Answer:

it is the third answer

Step-by-step explanation:

Answer:

I think your answer would be 29

Step-by-step explanation:

first 5 to the second power basically 5x5 so that equals 25,than 2 to the second power is 4(2x2) 25+4=29

Answer:

15.21= 15.2 when rounded

Step-by-step explanation:

the formula for finding the area of a circle with the diameter is
A= 1/4 × π ×d^2

Answer:

15.21

Step-by-step explanation:

In order to find the area, you must find the radius first.

The diameter (4.4) divided by 2 = radius (2.2)

The area of a circle is pi times the radius squared ([tex]A = \pi r^{2}[/tex]).

In this situation, r, or radius =2.2.

[tex]A = \pi 2.2^{2}[/tex]

[tex]\pi[/tex][tex]2.2^{2}[/tex]= the area, 15.2053084434.

By rounding to the nearest hundredth, you get 15.21. The second number after the decimal is your hundredths place. If the number after the decimal is 4 or less, just remove all of the digits to the right. If it's five or more, like this case where it is 7, you add 1 to the hundredths place, then you remove all of the digits to the right.

Answer:

equation 3 is correct

Step-by-step explanation:

Answer:

Number 3 is true.

Step-by-step explanation:

Equation 1 is 823543, so that is incorrect.

Equation 2 equals 1, wrong.

Equation 3 is 1/49. 7 multiplied by itself (7 x 7) is 49. This is correct

Equation 4 is 1/33232930569601, nowhere near the answer.

Answer:b

Step-by-step explanation Explanation: Area of Parallelogram = Base X Height (A of P = b•h)A of P = 0.80cm X 0.45 cm=0.36cm2

Answer:

33600

Step-by-step explanation:

256 ft² wood will be needed for 4 props.

The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.

According to the figure,

The lengths are

= (5ft +8ft +7ft +2ft +3ft +5ft) x 2 x 4

= 32 x 2 x 4

= 256 ft²

Thus, 256 ft² wood will be needed for 4 props.

Learn more about Surface Area here:

https://brainly.com/question/29298005

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Answer:

The answer you get will be 2/7 or 4/14

Answer:

1,435 passengers

*Brainliest would be appreciated.

Step-by-step explanation:

Answer:

790cm

Step-by-step explanation:

10 meter =1000cm

1000cm - 210cm= 790cm

The complete table is given below.

2. 3 miles per hour, 2.75 miles per hour, and 3.5 miles per hour are the speed of Diego, Elena, and Andre respectively.

3. To reach one mile: 0.33 hours, 0.36 hours, and 0.29 hours are the required time for Diego, Elena, and Andre respectively.

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is traveling along a route.

Given:

Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research.

They each walked at a constant rate, but their rates were different.

1. Complete table:

Time in hours    Miles walked by  Miles walked by  Miles walked by

                                       Diego              Elena               Andre

1                                   3                           2.75                     3.5

2                                   6                          5.5                       7

4                                   12                         11                        14

5                                   15                        13.75                   17.5

2. 3 miles per hour, 2.75 miles per hour, and 3.5 miles per hour are the speed of Diego, Elena, and Andre respectively.

3. To reach one mile: 0.33 hours, 0.36 hours, and 0.29 hours are the required time for Diego, Elena, and Andre respectively.

4. Here, the graph is not given.

Therefore, 3 miles per hour, 2.75 miles per hour, and 3.5 miles per hour are the speed of Diego, Elena, and Andre respectively.

To learn more about the speed;

https://brainly.com/question/7359669

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Answer:

264 hours

Step-by-step explanation:

there are 7 days in a week + 4 is 11

11 x 24 (HOURS IN A DAY) = 264 hours

hope this helps

Answer:

264 hours

Step-by-step explanation:

1 week = 7 days

1 day = 24 hours

Therefore, 7 · 24 = the number of hours in a week.

24 · 7 = 168

There are 168 hours in a week.

1 day = 24 hours

4 days = ? hours

4 · 24 = the number of hours in 4 days

24 · 4 = 96

There are 96 hours in 4 days.

You add 168 and 96 hours to get the total number of hours.

168 + 96 = 264

I hope this helps and please mark me as brainliest!

Answer:

31.12

Step-by-step explanation:

I thinkkk it's right, Let me know if it's wrong and I'll check it.

Volume = length x width x height

This formula can be used to find the number of cubes as well as the volume.

Number of Cubes: 36

3 x 4 x 3 = 12 x 3 = 36

Volume of One Cube: 1/64 cm^3

1/4 x 1/4 x 1/4 = 1/64

Volume of the Solid: 9/16 cm^3

Length = 1/4 + 1/4 + 1/4 = 3/4

Width = 1/4 + 1/4 + 1/4 + 1/4 = 1

Height = 1/4 + 1/4 + 1/4 = 3/4

3/4 x 1 x 3/4 = 9/16

Hope this helps!

Answer:

12350%

Step-by-step explanation:

. 76 - 34 = 42

. 42 divided by 34 = 1.23529411765

. 1.23529411765 multiplied by 100 = 123.529411765

. 123.529411765 ≈ 123.5 * 100 = 12350%

Answer:

207.35"

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Because since there are 4 people with an equal chance to win then you just put the number of people that you're trying to figure out over the total number.

Answer:

d

Step-by-step explanation:

we know there is 4 students so that means there's a 1/4 chance of him winning

Answer:

1.25 or 5/4

Step-by-step explanation:

If g = 5/6 then the expression would be 5/6 + 5/12 and the answer for the expression reduced is 5/4 and in decimal form is 1.25

Answer:

3.375 miles

Step-by-step explanation:

A runner runs at a rate of 4.5 miles per hour. How far does the runner run in 0.75 hours?

x = hours they ran

4.5x <== substitute 0.75 for x

4.5(0.75) <== multiply

3.375 miles

Hope this helps!

Answer: y = -4x + 60

Step-by-step explanation:

we can use a simple linear equation to write this problem:

y = mx + b

The slope is given to be the number of bulbs in each pack, which is 4.

now we have: y = 4x +b

The value of b is the y intercept, or the starting value, 60. From this value, 4x can be subtracted to show our remaining bulbs in stock:

y = 60 - 4x

Writing this in the form y = mx+b gives us the equation:

y = -4x + 60

Answer:

y = 4x

Step-by-step explanation:

A corner store sells 60-watt bulbs in pack of 4.

x = number of packs

y = number of bulbs

y = 4x

Check your answer using the problem:

60 = 4x

/4     /4

12 = x

This means that there are 12 bulbs in each pack.

Hope this helps!

Answer:

72

Step-by-step explanation:

that is a right triangle

90-18=72

Answer:

A

Step-by-step explanation:

two complementary that have the same measure angels always equals 90

Answer:

A C, but there isn't enough question part to this. Not sure what the question is

Step-by-step explanation: