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.
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<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:
32.5 square feet
Step-by-step explanation:
The formula for a trapezoid is a= 1/2*(b1+b2)*h. B1 and b2 would represent the two bases given and therefore doesn't matter what order you put them in. Plug in all values into the equation and you'll get 1/2*(5+8)*5 then 1/2*(13)*5. Next simplify to get 6.5*5 which then equates to 32.5.
Answer:
2.28%
Step-by-step explanation:
given that the height, in inches, of a 25-year-old man is a normal random variable with parameters = 71 and variance = 6:25.
If X is the height of 25 year old man then X is N(71, 2.5)
a) Probability of men in the 6-footer club are over 6 feet, 5 inches
=
= 0.0228
percentage of men in the 6-footer club are over 6 feet, 5 inches
100 times prob
=2.28%
2.28% of men in the 6-footer club are over 6 feet, 5 inches willbe taller than 6 feet and 5 inches
Answer:
$26
Step-by-step explanation:
15+15 +30
30% of 20 is 6
add the tax and tip to the initial $20 and you have $26
It will be around 15.8% if you get the blue marble