Answer:
Step-by-step explanation:
Required
As a decimal to nearest thousandth
Solving (a): 78.4%
Express as fraction
Solve fraction
----- This is already in thousandth place
Solving (b): 29%
Express as fraction
Solve fraction
Approximate
Answer:Yes that is correct, 3(2t + d) is equal to 6t+3d. This is due to the distributive property of multiplication, or as I like to call it, the DPM. The DPM works for all multiplication and praentheses problems. For example, 7(2t+3d)=14t+21d. You multiply the coefficient of the whole parentheses by each number/variable in the equation. Another example is 5(n+s)=5n+5s.
The greatest common factor( GCF) of 36 and 84 is 12.
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
