Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
_____
<em>Check</em>
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
Answer:
Step-by-step explanation:
3.25/.8=4.0625
multiply that by 5.6
$22.75 is your answer
Answer:
B
Step-by-step explanation:
The volume (V) of a triangular prism is
V = area of triangular end × length
area of Δ =
bh
where b is the base and h the perpendicular height
here b = 8 and h = 5, so
area = 0.5 × 8 × 5 = 20 units²
the length of the prism is 10, hence
V = 20 × 10 = 200 units³
Answer:
area of shaded region: 21.07 ft²
<u>Given for semi circle:</u>
- radius of semi-circle: 7 ft
<u>Given for rectangle:</u>
<u>Find area of rectangle:</u>
Length * Width
14 * 7
98 ft²
<u>Find the area of semi circle:</u>
1/2 * π * r²
1/2 * 3.14 * (7)²
76.93 ft²
<u>Area of shaded region:</u>
area of rectangle - area of semi-circle
98 ft² - 76.93 ft²
21.07 ft²