The sum of two numbers is 40 and the difference is 16. What are the numbers?

Mathematics

1 answer:

Alina [70]2 years ago

7 0

Answer:

28 and 12

Step-by-step explanation:

The sum of two numbers is 40 and the difference is 16. What are the number? x+y=40 Substitute for x from above. (y+16)+y=40 Subtract 16 from each side.

You might be interested in

Slove system of equation.<br><br> 2x - 6y = 8<br> -3x + 9y = 12

Bond [772]

Answers:

2x - 6y = 8 -> x = 4 + 3y

-3x + 9y = 12 -> x = -4 + 3y

7 0

2 years ago

If all the dimensions of the rectangular pyramid are multiplied by 1/5, what is the effect on the volume

Pachacha [2.7K]

Answer:

If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 125 times smaller.

Step-by-step explanation:

A rectangular pyramid has the following dimensions:

length(l), height(h) and width(w)

The volume is:

$V = \frac{l*h*w}{3}$

If all the dimensions of the rectangular pyramid are multiplied by 1/5

Then we have that:

$l = \frac{l}{5}, w = \frac{w}{5}, h = \frac{h}{5}$

The modified volume will be:

$V_{M} = \frac{\frac{l}{5}*\frac{w}{5}*\frac{h}{5}}{3} = \frac{\frac{l*w*h}{125}}{3} = \frac{l*h*w}{125*3} = \frac{1}{125}(\frac{l*h*w}{3}) = \frac{V}{125}$