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vlada-n [284]
3 years ago
12

a vending machine takes only nickels and dimes. at the end of the day there were three times as many nickels as dimes and a tota

l of $25. how many of each coin were in the machine
Mathematics
2 answers:
Ksivusya [100]3 years ago
3 0
100 dimes and 300 Nickels
Jlenok [28]3 years ago
3 0
X= dimes
Three times as many = 3x= nickels

Dimes are worth 10 cents = 0.10x
Nickels are worth 5 cents = 0.05(3x)

Add both together & solve:

0.10x+0.05(3x)= 25
0.10+0.15x= 25
0.25x=25
Divide both sides by 0.25
x= 100 dimes
Substitute the value of x to find 3x
3x = 3(100)= 300 nickels

Hope this helps!! :)
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Answer:

56

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First, convert the 70% so that we can use it with the 80 cups. To do this, convert the percent to a decimal by moving the decimal 2 spaces to the left:

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Can someone explain this?
Cerrena [4.2K]
<h2>Hello!</h2>

The answer is:

The missing step is the step shown in the last option:

D. 324=0.042x+16

<h2>Why?</h2>

To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:

Starting from the last step before the missing step, we have:

-18=-\sqrt{0.042x+16}

In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.

We must remember the following properties:

\sqrt{a^{m} }=a^{\frac{m}{2}}\\\\(a^{b})^{c}=a^{b*c}

Now, finding the missing step, we need to find what to do in order to get the expression of the following step.

So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:

-18=-\sqrt{0.042x+16}\\\\(-18)^{2} =(-\sqrt{0.042x+16})^{2} \\324=0.042x+16\\324-16=0.042x\\\\x=\frac{304}{0.042}=7333

Hence, we found the the missing step is:

D. 324=0.042x+16

Have a nice day!

4 0
3 years ago
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