The total number of coins is 9. Therefore
p+n+d = 9 (1)
There are two fewer nickels than dimes. Therefore
n = d - 2 (2)
From (1) and (2), obtain
p+(d-2)+d = 9
p + 2d = 11
p = 11 - 2d (3)
Total value:
0.01p + 0.05n + 0.10d = 0.53 (4)
Substitute (2) and (3) into (4).
0.01(11-2d) + 0.05(d-2) + 0.10d = 0.53
0.11 - 0.02d + 0.05d - 0.10 + 0.10d = 0.53
0.03d + 0.01 = 0.53
0.13d = 0.52
d = 4
p = 11 - 2d = 11 - 8 = 3
Answer: 3 pennies
Answer:
36
Step-by-step explanation:
We must determine the x and y intercepts of the parabola:
When y=0, x=0 or x=10
WE know that the point of the triangle base is x and x+8. We can substitute this into the parabola equation because the endpoints are on the parabola.
f(x+8)
f(x+8)
f(x)=f(x+8)
solve for x
Therefore the heigh is f(1):
The area of the triangle is 1/2 base x height:
K:P=2:5
P+75 it is 4:15
at first, P=5 units
so we have
2:5 and 4:15
since the K units didn't change we conver them to the same
2:5 times 2:2=4:10
so from 4:10 to 4:15 is a change of 75 in the right side
therefor 75=5 units so 75/5=15/1= 1 unit
so at first K=4 units=4 times 1 unit=4 times 15=60
P=10 units so 10 times 15=150
at first
Karen=60
Patricia=150
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 2
Answer:
Step-by-step explanation:
This is correct, except that if you have two variables you will need two equations. The other equation (the easy one!) was x+ y = 100, from which you might want to solve for y = 100-x, and substitute into the other equation to get:
.30x + .02(100-x) = .04(100)
.30x + 2 - .02x = 4
.28x = 2
x = 2/.28 = 50/7 or approximately 7.14 gallons of cream
100-x = 92 6/7 or approximately 92.86 gallons of 2%
R^2 at SCC
