Answer:
207 minutes.
Step-by-step explanation:
115 x 4/5 = 92
115 + 92 = 207
9514 1404 393
Answer:
$12,720
Step-by-step explanation:
The amount is given by the formula ...
A = P(1 +rt)
where P is the principal, invested at rate r for t years.
A = $12,000(1 +0.06·1) = $12,720
The total amount after 1 year is $12,720.
Answer:
y + 12
Step-by-step explanation:
1. remove parentheses.
10 + 2 + y
2.collect like terms.
y + ( 10 + 2)
3. simplify.
y + 12
Therefor, the answer is. y + 12
Answer:
12 gallons
Step-by-step explanation:
Total gallons = 16 gallons
Total distance = 460 miles
Fuel efficiency in the highway = 30 miles per gallon
Fuel efficiency in the city = 25 miles per gallon
Let
h = gallons of gasoline were used on the highway.
460 = 30h + 25(16 - h)
460 = 30h + 400 - 25h
460 - 400 = 30h - 25h
60 = 5h
h = 60/5
h = 12 gallons
12 gallons of gasoline were used on the highway.
Given the ratio, you know that:
length = 6x
width = 2x
height = 7x
Because the sum of the length and the width is 24 cm, you can write the equation:
6x + 2x = 24
Solve:
8x = 24
x = 3
Plug the 3 back into the expressions written earlier for length, width, and height.
length = 18 cm
width = 6 cm
height = 21 cm
Use the formula SA = 2B + Ph to solve for the surface area.
Surface Area = 2(area of the base) + (perimeter of the base)(height)
I'm going to plug in l, w, and h as variables for length, width, and height to show the exact way to solve for the B and P.
SA = 2lw + 2(l + w)h
SA = 2(18)(6) + 2(18 + 6)(21)
SA = 216 + 2(24)(21)
SA = 216 + 1008
SA = 1224
The surface area is 1,224 cm^2.
