Answer: B
Step-by-step explanation:
To solve the system of equations, use substitution.
x+y =24
Subtract x on both sides
y=-x+24
We can now substitute -x+24 in for y in the second equation.
3x+5y=100
3x+5(-x+24)=100
Distribute the 5
3x-5x+120=100
Subtract the 120 on both sides
-2x=-20
Divide by 2 on both sides
x=10
Substitute 10 in for x in the first equation.
x+y=24
10+y=24
Subtract 10 inches on both sides
y=14
So there are 10 3point questions and 14 5 point questions, so choice B
Hope this helped!
8.1% is the exact interest rate
Answer:
b = 48
Step-by-step explanation:
a = 20
b = ?
c = 52
a^2 + b^2 = c^2
20^2 + b^2 = 52^2
400 + b^2 = 2704
b^2 = 2704 - 400
b^2 = 2304
sqrt(b^2) = sqrt(2304)
b = sqrt(2304)
b = 48
First set up an equation as your approach. I will use the equation x+4x=24 because that way you are saying that something pluse itself times 4 equals 24 which is what you want.
simplify the equation
5x=24
x=24/5
So you know onw piece will be 24/5 of a foot and the ither qould be that times 4 so 96/24 of a foot. In decimals it would be 4.8 and 19.2
C. they are worth the same amount of money, 1/2 and 2/4 are both 50% or 50 cents
