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3 years ago

Which 2 equations would you use to solve this system?

Mathematics

1 answer:

slega [8]3 years ago

4 0

Answer:

x-y=4

and

x+y=32 is your equation

difference of two number =x-y is equal to 4

sum of two number=x+y is equal to 32

x-y=4.......(1)

x+y=32.......(2)

adding equation 1 and 2

x-y +x+y=4+32

2x=36

x=36/2=16answer

substituting value of y in equation 1

16-y=4

16-4=y

y=12 answer

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Answer:

The capacity of the container is 2546.78 cm³.

Step-by-step explanation:

The volume of the frustum of a cone is:

$\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}]$

The information provided is:

r = 16/2 = 8 cm

R = 24/2 = 12 cm

h = 8 cm

Compute the capacity of the container as follows:

$\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}]$

$=\frac{\pi\cdot8}{3}\cdot[(12)^{2}+(12\cdot 8)+(8)^{2}]\\\\=\frac{8\pi}{3}\times [144+96+64]\\\\=\frac{8\pi}{3}\times304\\\\=2546.784445\\\\\approx 2546.78$

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3 years ago

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Sammie worked at the pizza place last Monday and brought home $60. If he makes $8.50 per hour and earned $13.25 in tips, how man

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Answer:

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Step-by-step explanation:

Currently, the equation is 60=8.50h+13.25 and h stands for the hours that Sammie worked. So, you need to solve for h by first subtracting 13.25 (his tips) and getting the amount that he received for the hours that he worked.

You should now have 46.75=8.50h

Our final step, is to divide 46.75 by 8.50 to get h by itself and determine the total hours that Sammie worked.

In the end, you should come out with h=5.5, which means that Sammie worked 5.5 hours.

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