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The cost, in dollars, of manufacturing x refrigerators is 9000 + 400x. The amount received when selling these x refrigerators is 500x dollars. What is the least number of refrigerators that must be manufactured and sold so that the amount received is at least equal to the manufacturing cost?

If the length of each of the sides of three square garden plots is increased by 50 percent, by what percent is the sum of the areas of the three plots increased? 125%, is the right answer, but I got this one wrong.

I assigned the value of 2 to the original sides

2x2=4, 4x3=12

raising those values 50%

3x3=9, 9x3=27

27/12=2.25

whish is not 125% no matter how I try to twist it

A distillate flows into an empty 64-gallon drum at spout A and out of the drum at spout B. If the rate of flow through A is 2 gallons per hour, how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours?

the answer is 4/3 but I don't know how they got it

The rectangular solid above is made up of eight cubes of the same size, each of which has exactly one face painted blue. What is the greatest fraction of the total surface area of the solid that could be blue?

The right answer was 2/7 but how did they get it?

I'm hoping to find out how to set this problem up, thank you

If x² + y² =1, and the average of x + y =4, what is x – y?

I don't even know where to start with this one , but I need to learn how to solve them so I'm hoping for an explanation.

Thank you

By weight, liquid A makes up 7.0 percent of solution I and 14.5 percent of solution II. If 3 grams of solution I is mixed with 2 grams of solution II, then liquid A accounts for what percent of the weight of the resulting solution?

Logic of setting it up?

W__X______Y____Z

On segment WZ above, if WY=23, XZ=29, and YZ is twice WX, what is the value of XY?

I compared 23-a=29-2a and got 6, but the answer is 17.

What am I doing wrong?

If the figure above is a rectangular solid composed of cubes, each with edge of length 4 centimeters, and there are 5 of the 4cm^ᶟ per edge of a larger cube, what is the volume of the rectangular solid in cubic centimeters?

I think the answer is 6400 but I can't get it again, How do you do this calculation?

If 5/8 = 3/x and y = 1/5, what is the value of x + 6y?

One month Mary used 1/6 of her monthly salary for a car payment and ¼ more than the car payment for rent. What fraction of her monthly salary did Mary use that month for the car payment and rent combined?

So, I figured 1/6*4/4 + 1/4*6/6=10/24 or 5/12, But the answer is 3/8, what did I do wrong?

For each of n people, Margie bought a hamburger and a soda at a restaurant. For each of n people, Paul bought 3 hamburgers and a soda at the same restaurant. If Margie spent a total of $5.40 and Paul spent a total of $12.60, how much did Paul spend just for hamburgers? (Assume that all hamburgers cost the same and all sodas cost the same.)

This is the way I set it up:

Quantity h + s = 5.4/3 = 1.8

Amount 3h + s = 1260

For each of n people, Margie bought a hamburger and a soda at a restaurant. For each of n people, Paul bought 3 hamburgers and a soda at the same restaurant. If Margie spent a total of $5.40 and Paul spent a total of $12.60, how much did Paul spend just for hamburgers? (Assume that all hamburgers cost the same and all sodas cost the same.)

Please show the set up and explain

If the radius of a circle is decreased by 30 percent, by what percent will the area of the circular region be decreased?

How to set up the problem?

The average (arithmetic mean) of five numbers is 25. After one of the numbers is removed, the average of the remaining numbers is 31. What number has been removed?

Please explain

If x is the number on the number line between 5 and 15 that is three times as far from 5 as from 15, then x is?

How do I set this problem up?

The volume of a cylindrical tank is directly proportional to the height and the square of the radius of the tank. If a certain tank with a radius of 10 centimeters has a volume of 20,000 cubic centimeters, what is the volume, in cubic centimeters, of a tank of the same height with a radius of 15 centimeters? πr²h=volume of a cylinder

How do ya work this?

The figure shows two rectangles with one (GHJK) fitting inside of the other (LMNO).The rectangle labeled GHJK is shaded in. In the figure above, LMNO and GHJK are rectangles where GH=1/2LM and HJ=1/2MN. What fraction of the region bounded by LMNO is not shaded?

If I assign the width, GH, of the inner triangle to be 1, and assign the length HJ of the inner rectangle to be 2, then I get a ratio of 4:1.

But would that be correct? I think the right answer would be that 3/4 of the area of the larger rectangle is not shaded.

How many positive integers less than 20 are equal to the sum of a positive multiple of 3 and a positive multiple of 4 ?

My question is how to set the problem up?

I'm shown a triangle with angle C being 90 degrees, and the distance between angles C and B is 2 inches.

While they're showing a very long and skinny triangle, they're also saying it's not drawn to scale.

How could this be ciphered?