Answer:
13. 10a^4b²
14. -5y³ + 35y² - 10y
Step-by-step explanation:
Question 13:
(5a³b) (2ab) =
=10a^4b²
Question 14:
5y (-y² + 7y - 2) =
= -5y³ + 35y² - 10y
Hope this helps!
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
For this case we can use the following rule of three:
$ 500 ---------> 100%
$ 400 ---------> x
Clearing x we have:
x = (400/500) * (100) = 80%
Therefore, the percentage of decrease in the rent is:
p = 100-x
p = 100-80
p = 80%
Answer:
a proportion can be used to calculate p is:
p = 100 - ((400/500) * (100))
