Answer:
The number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
Step-by-step explanation:
It is important to note that:
A quarter is worth 25 cents = 0.25q
A nickel is worth 5 cents = 0.05n
George has only Quarters and nickels in his piggy bank.
Let the number of
Quarters = q
Nickels = n
He has a total of 90 coins.
Hence,
q + n = 90.... Equation 1
q = 90 - n
The value of the coins is $16.10.
Hence,
0.25q + 0.05n = 16.10....Equation 2
We substitute 90 - n for q in Equation 2
0.25(90 - n) + 0.05n = 16.10
22.5 - 0.25n + 0.05n = 16.10
Collect like terms
- 0.25n + 0.05n = 16.10 - 22.5
-0.2n = - 6.4
n = -6.4/-0.2
n = 32 nickels
Solving for q
q = 90 - n
q = 90 - 32
q = 58 quarters
Therefore, the number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
16 will go where the question mark is located
So 3/6 = 8/16
Think of it like this: if you had three slices of pizza out of 6 total, then you had half the pizza. The same goes for if you had 8 slices out of 16 total
You can use the cross multiplication rule to find x
3/6 = 8/x
3*x = 6*8
3x = 48
3x/3 = 48/3
x = 16
Answer:
y= 2/3x +1
Step-by-step explanation:
The y intercept is 1 It crosses the y axis at 1. So the point is (0,1)
Another point on the line is (3,3)
We can calculate the slope
m = (y2-y1)/(x2-x1)
= (3-1)/(3-0)
=2/3
The equation for a line is y=mx+b where m is the slope and b is the y intercept
y= 2/3x +1
Answer:
The answer is 200
Step-by-step explanation:
