Answer:
89.25
Step-by-step explanation:
1. multiply 3.5 by what is in parentheses
2. Subtract 89.25 by 57.75
Answer:
Step-by-step explanation:
3x+3y=180-30=150
x+y=50
Answer:
$14
Step-by-step explanation:
given
Sharif : Jose ---> 2:7
this means that:
Fraction of total that Sharif gets = 2 / (2+7) = 2/9
Fraction of total that Jose gets = 7 / (2+7) = 7/9
we are given that Jose gets $49, hence
jose's fraction = 7/9 , represents $49
i.e
7/9 -----> $49
1/9 -----> $49 ÷ 7 = $7
Sharif's fraction = 2/9 -----> $7 x 2 = $14
Answer:
4%
Step-by-step explanation:
The interest earned on the investment is the difference between the end-of-year value and the initial value:
$83.20 -80 = $3.20 . . . . simple interest per year
__
The interest rate is the ratio of this to the initial investment:
$3.20/$80.00 = 0.04 = 4% . . . . . simple interest rate per year
13. The words are telling you
.. HT +TS = HM +MS +2
.. (2x +1) +(x) = (x +1) +(x +2) +2
.. 3x +1 = 2x +5 . . . . . . . . . . . . . . collect terms
.. x = 4 . . . . . . . . . . . . . . . . . . . . . add -2x-1
HT +TS = 3x +1 = 3*4 +1 = 13 miles
The route via the theater is 13 miles.
Via the mall, the route is 11 miles.
14. Solve this the way you would any 2-step linear equation. Subtract terms that don't have h, and divide by the coefficient of h.
S = 2πr^2 +2πrh
S -2πr^2 = 2πrh
(S -2πr^2)/(2πr) = h
If you like, you can rearrange this to
.. h = (S/(2πr)) -r
