MATHEMATICS MIDDLE SCHOOL

What value of x will make this proportion true? a. 7 b. 18 c. 24 d. 28 42 3 4 = 14 x 1 2

Answers

Answer 1
Answer:

We are given proportion as 14/x = 1/2

So first step is to get rid off 2 from denominator,so we multipy both sides by 2

2(14/x) =2(1/2)

28/x =1

Next step is to get rid off x from denominator ,so we multiply both sides  of the equation by x

x(28/x) =x(1)

28x/x =x

28 =x

Hence we get value of x =28

So answer is choice d) 28

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Ken keeps paper clips in a box that is the shape of a cube. Each side of the cube is 3inches. What is the volume of the box?

Answers

volume of cube = L^3 
so, volume = 3^3 = 27 inch^3
Hi there! We know that the side of the cube is 3 inches so V=a³=3³=27 in³. Therefore, the answer is 27 in³.

What are the coordinates of the midpoint line segment for (4,4 ) and (0,5)

Answers

Answer:

  (2, 4.5)

Step-by-step explanation:

The midpoint is the average of the end points.

  M = (A + B)/2

  = ((4, 4) + (0, 5))/2

  = ((4+0)/2, (4+5)/2)

  = (2, 4.5)

3 If a leaky faucet drips one ounce ofwater per minute, approximately many gallons per day would that be?

Answers

11.25. It takes about 2 hours to fill a gallon if you have an ounce a minute. (128 minutes to be precise) So, 24 divide by half and 12. :) Should get that faucet checked out man:P 

HELP twice a number plus twice a second number is 310. The difference between the numbers is 55. Find the numbers by writing and solving a system of equations. Explain how you solved the system. PLEASE HELP ME Thank you!   I got numbers are 182.5 and 127.5 but I don't understand how to set up the system equations

Answers

The numbers by writing and solving a system of equations are 50 and 105

System of equations

Let the unknown numbers be x and y

If twice a number plus twice a second number is 310, then;

2x + 2y = 310

x + y = 155

x = 155 - y

Also, If the difference of the numbers is 55, hence;

x - y = 55

155 - y - y = 55

155 - 2y = 55

-2y = 55 - 505

2y = 100

y = 50

Substitute y = 25 into 1 to have:

x = 155 - 50

x = 105

Hence the numbers by writing and solving a system of equations are 50 and 105

Learn more on system of equations here: brainly.com/question/847634
Twice a number plus twice a second number is 310.
2x + 2y = 310

The difference between the numbers is 55.
x-y = 55

Divide the first equation by 2 to get a 3rd equation:
x+y=155

Add the second and third equations together:
x-y=55
x+y=155
2x=210
x=105

Put x=105 into the second equation to get:
105-y=55
y=50

So you're answers are x=105 and y=50.

It takes 48,000 gallons of paint each year to paint a large bridge. Each of the 12 painting crews use the same amount of paint.How many gallons of paint does each crew use

Answers

very simple: 48000 divided by 12=4000
4000
x  12
------------
48000
each crew uses 4,000 gallons of paint. 48000 divided by 12 equals 4000

What are scale factors. And could someone explain them?

Answers

In two similar geometric figures , the ration of their corresponding sides is called the scale factor .


I hope that's help !

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