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
The answer to the selected problem is: that is a linear equation.
1) Work out what 1/5 of 12 is
To do this, we divide 12 by 5
12/5 = 2.4
2) Multiply 2.4 by 15
2.4 x 15 = 36
<em>If you don't like decimals, you can also do it this way...
</em>
This can be rewritten as 15 x 1/5 x 12
Multiplications alone can be performed in any order
1) Work out what 1/5 of 15 is
1/5 of 15
15/5 = 3
2) 3 multiplied by 12
3 x 12 = 36
Answer:
x = 14
EHF = 15 degree GHF = 75 degree
Step-by-step explanation:
(x+1) + (5x+5) = 90
(x+5x)+ (1+5) = 90
6x + 6 = 90
6x = 90-6
6x = 84
x = 84/6
x = 14
EHF + GHF = 90 degree
EHF = x+1
= 14 + 1 = 15
= 15 degree
GHF = 5x+5
= 14 x 5 (+5) = 70 + 5
= 75 degree
EHF = 15 degree GHF = 75 degree
