Set up a system of equations.
0.10d + 0.25q = 39.25
d + q = 250
Where 'd' represents the number of dimes, and 'q' represents the number of quarters.
d + q = 250
Subtract 'q' to both sides:
d = -q + 250
Plug in '-q + 250' for 'd' in the 1st equation:
0.10(-q + 250) + 0.25q = 39.25
Distribute 0.10:
-0.10q + 25 + 0.25q = 39.25
Combine like terms:
0.15q + 25 = 39.25
Subtract 25 to both sides:
0.15q = 14.25
Divide 0.15 to both sides:
q = 95
Now plug this into any of the two equations to find 'd':
d + q = 250
d + 95 = 250
Subtract 95 to both sides:
d = 155
So there are 95 quarters and 155 dimes.
They consists of equations and unknown variables. There are 4 PCs and 8 Mac in the room
<h3>System of equation</h3>
They consists of equations and unknown variables
Let the number of PCs be x
Let the number of Mac be y
If Mke has 12 computers, then;
x + y = 12
If there are two Macs for every PC in his classroom, then;
y = 2x
Substitute
x + 2x = 12
3x = 12
x = 4
Recall y = 2x
y = 2(4)
y = 8
There are 4 PCs and 8 Mac in the room
Learn more on system of equations here; brainly.com/question/14323743
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Hi there! Hopefully this helps!
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It <u>decreased by 30 cents</u> per week.
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The average <em>rate of change</em> is calculated as:
the <u>ratio of the sum of the change</u> in the three weeks <u>divided by</u> <u>the number of weeks. (</u>The <em>number of weeks</em> being <u>3</u>)
<em>Rate of change</em> =
.
(-60 + -10 + -20 = -90). So, to <em>simplify</em> it:
= <u><em>-30</em></u>
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Incase you are confused:
Since the average <u>rate of change</u> is <em>negative</em>, this means that the <u>stock price</u> has <em>decreased</em>.
The fraction in the picture is 1/8 .
That's equivalent to 12.5 %.
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Maybe what you want is the whole mixed number changed to percent.
-- The 5 alone is 500% .
-- The 1/8 alone is 12.5% .
-- When you puttum together and addum up,
(5 + 1/8) = (500% + 12.5%) = 512.5% .