Answer:
The number is -8
Step-by-step explanation:
Let
x ---> the number
we know that
The algebraic expression is equal to
Solve for x
divide by 6 both sides
Answer:
1.97 years
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.08/2)] )
t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.04)] )
t = 1.965 years
:D
Answer:
No
Step-by-step explanation:
Given:
Volume of cone = 144 in³
Diameter of 12 inch
Find:
Volume of cylinder[Same height and radius] is 144 in³ or not
Computation:
Volume of cone = [1/3][π][r²][h]
144 = [1/3][3.14][(12/2)²][h]
144 = 37.68 h
Height of cone = 3.82
Volume of cylinder[Same height and radius] = [π][r²][h]
Volume of cylinder[Same height and radius] = [3.14][6²][3.82]
Volume of cylinder[Same height and radius] = 431.81
Volume of cylinder[Same height and radius] = 432 in³
So,
Volume of cylinder[Same height and radius] is not 144 in³
Answer:
Part a) System of equations:
g = 5 b
b + g = 120
Part b) There were 20 boys, and 100 girls at the dance.
Step-by-step explanation:
Part a)
We start by writing a mathematical expression associated with he two given statements:
1) "Five times as many girls as boys" using "g" to represent the number of girls, and "b" for the number of boys:
g = 5 b
2) a "Total of 120 students" ...
This means that the addition of boys "b" and girls "g" should render 12:
b + g = 120
Part b)
Solve for the number of boys and girls by first replacing (substituting) "g" with "5 b" in the second equation, solving for "b":
b + 5 b = 120
6 b = 120
b = 120/6
b = 20
and now that we know the number of boys, finding the number of girls "g" using the first equation:
g = 5 (20)
g = 100