If we let Q be the number of quarters and N be number of nickels, this is the formula we would use:
[1] 25Q + 5N = 635 (using cents instead of dollars)

We also know something about Q and N.

[2] Q + N = 51

So multiply both sides of the second equation by 5. The reason we do this is because we're going to need to cancel out one of the variables (either Q or N) to solve for the other one. If we multiply times 5, we'll have 5N in both equations.
5Q + 5N = 255

Now we have two equations, and the second one can be subtracted from the first.

25Q + 5N = 635
-(5Q + 5N) = -255
---------------------
20Q = 380
so
Q = 19

There are 19 quarters.

And since there are 51 coins in all, 51-19 = 32 nickels.

5 0

2 years ago

PLEASE HELP ASAP!!! Explain, thank you-

Nat2105 [25]

Answer:

The answer to your question is: $\sqrt[4]{2^{3} } + 1$

Step-by-step explanation:

$\frac{1}{\sqrt[4]{2- 1}} x \frac{\sqrt[4]{2^{3}}+ 1 }{\sqrt[4]{2^{3}} + 1} = [tex]\frac{\sqrt[4]{2^{3}}+ 1 }{2 - 1}$

= $\sqrt[4]{2^{3} } + 1$

6 0

3 years ago

Johan can drive 270 miles on 9 gallons of gas. What is his average mileage?

VladimirAG [237]

Hey there!

The correct answer is 30 miles per gallon.

If he can drive 270 miles on 9 gallons, we want to find the unit rate, or miles per gallon. We can do this by dividing 270 by 9. To make it easier, we will take off the zero, and do 27/9, which is 3. Now we add the 0 back on, which gives us 30. Therefore, his average mileage is 30 miles per gallon.

Have a terrificly amazing day! :D

4 0

2 years ago

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