<u><em>Answer:</em></u>
15(1+3)
<u><em>Explanation:</em></u>
<u>The distributive property can be generally expressed as follows:</u>
ab + ac = a(b+c)
<u>The given expression is:</u>
15 + 45
<u>We know that:</u>
15 = 1*15
45 = 3*15
<u>Therefore, the given expression can be written as:</u>
1*15 + 3*15
<u>Taking 15 as a common factor and applying the above rule, we will reach the following expression:</u>
15(1+3)
Hope this helps :)
Total capacity = sum of the individual production capacities.
Here,
Total capacity = sum of f(m) = (m + 4)^2 + 100 and g(m) = (m + 12)^2 − 50.
Then f(m) + g(m) = (m + 4)^2 + 100 + (m + 12)^2 − 50.
We must expand the binomial squares in order to combine like terms:
m^2 + 8 m + 16 + 100
+m^2 + 24m + 144 - 50
---------------------------------
Then f(m) + g(m) = 2m^2 + 32m + 160 + 50
f(m) + g(m) = 2m^2 + 32m + 210, where m is the number of
minutes during which the two machines operate.
Guinea pig (p) = 4 years old
Giraffe (g) = 10 years old
Tiger (t) = 16 years old
P = g-6
T = 4p
30 = g+g-6+(4(g-6))
30 = 2g-6+4g-24
30 = 6g-30
+30 +30
60 = 6g
6 6
10 = g
P = 10-6
P = 4
T = 4(4)
T = 16
1 = 130
2 = 50
3 = 50
5 = 130
6 = 50
7 = 50
8 = 130
1 and 4 are the same because of the vertical angle