Problem 13
10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get
10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q
so we get the original expression again. Here 10 is the GCF of the two terms.
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Plug p = 1 and q = 2 into the factored form
10*(p+q) = 10*(1+2) = 10*(3) = 30
As a check, let's plug those p,q values into the original expression
10*p+10*q = 10*1+10*2 = 10+20 = 30
We get the same output of 30
30/12 in simplest form is 5/2 (cause 6 * 5 = 30 and 6 * 2 = 12)
40/16 in simplest form is 5/2 (cause 8 * 2 = 16 and 8 * 5 =40)
so yes they're equivalent;
30/12 = 40/16
Hope that helps :D have a nice day!
The longest piece is 24 ft and the smallest piece is 4 ft
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
Corresponding segments are proportional.
(3x +1)/10 = (7x -1)/22
11(3x +1) = 5(7x -1) . . . . . . multiply by 110
33x + 11 = 35x -5 . . . . . . eliminate parentheses
16 = 2x . . . . . . . . . . . add 5-33x to both sides
8 = x . . . . . . . . . . divide by 2
Answer:
15?
Step-by-step explanation:
