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
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20Q = 380
so
Q = 19
There are 19 quarters.
And since there are 51 coins in all, 51-19 = 32 nickels.
<h3>
Answer: 2</h3>
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Explanation:
The function f(x) = -4x+1 is the same as y = -4x+1 where y = f(x)
Compare this to y = mx+b and we see the slope here is m = -4
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Now let's find the slope of g(x)
use the slope formula with any two rows you want. I'll pick on the last two rows.
m = (y2-y1)/(x2-x1)
m = (21-9)/(3-1)
m = 12/2
m = 6 is the slope of g(x)
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From here, we add the two slope values
(slope of f)+(slope of g) = -4+6 = 2
A. C= K-273.15
b. 300= C+273.15
300-273.15= C
26.85=C
Answer:
first method
<u>2</u><u>2</u>=<u>5</u>
7. x
we cross multiply to get
<u>2</u><u>2</u><u>x</u>= <u>5</u><u>×</u><u>7</u>
22. 22.
x= <u>3</u><u>5</u>
22
=1.59
second method
<u>2</u><u>2</u>=<u>5</u>
7. x
we multiply the denominators to get 7x
then we multiply each term by 7x
7x×<u>2</u><u>2</u> = <u>5</u>×7x
7. x
here the 7 and 7 will cancel out and the x and x will cancel out to get
<u>2</u><u>2</u><u>x</u>= <u>3</u><u>5</u>
22. 22
= 1.59