13% of what is 78
"what" is the unknown, so use x for what.
"of" in math usually means a multiplication.
"is" means "="
13% * x = 78
0.13x = 78
x = 78/0.13
x = 600
Answer: the number is 600
Step-by-step explanation:
![4(m+7)+(m+3)^2=(m+3)(m+7)+16\\\\L_S=4(m+7)+(m+3)^2\\\\\text{use the distributive property}:a(b+c)=ab+ac\\\text{and formula}:\ (a+b)^2=a^2+2ab+b^2\\\\L_S=(4)(m)+(4)(7)+m^2+2(m)(3)+3^2\\\\L_S=4m+28+m^2+6m+9\qquad\text{combine like terms}\\\\L_S=m^2+(4m+6m)+(28+9)\\\\L_S=m^2+10m+37](https://tex.z-dn.net/?f=4%28m%2B7%29%2B%28m%2B3%29%5E2%3D%28m%2B3%29%28m%2B7%29%2B16%5C%5C%5C%5CL_S%3D4%28m%2B7%29%2B%28m%2B3%29%5E2%5C%5C%5C%5C%5Ctext%7Buse%20the%20distributive%20property%7D%3Aa%28b%2Bc%29%3Dab%2Bac%5C%5C%5Ctext%7Band%20formula%7D%3A%5C%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5C%5C%5CL_S%3D%284%29%28m%29%2B%284%29%287%29%2Bm%5E2%2B2%28m%29%283%29%2B3%5E2%5C%5C%5C%5CL_S%3D4m%2B28%2Bm%5E2%2B6m%2B9%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5CL_S%3Dm%5E2%2B%284m%2B6m%29%2B%2828%2B9%29%5C%5C%5C%5CL_S%3Dm%5E2%2B10m%2B37)
![R_S=(m+3)(m+7)+16\\\\\text{use FOIL}:(a+b)(c+d)=ac+ad+bc+bd\\\\R_S=(m)(m)+(m)(7)+(3)(m)+(3)(7)+16\\\\R_S=m^2+7m+3m+21+16\qquad\text{combine like terms}\\\\R_S=m^2+(7m+3m)+(21+16)\\\\R_S=m^2+10m+37\\\\\boxed{L_S=R_S}](https://tex.z-dn.net/?f=R_S%3D%28m%2B3%29%28m%2B7%29%2B16%5C%5C%5C%5C%5Ctext%7Buse%20FOIL%7D%3A%28a%2Bb%29%28c%2Bd%29%3Dac%2Bad%2Bbc%2Bbd%5C%5C%5C%5CR_S%3D%28m%29%28m%29%2B%28m%29%287%29%2B%283%29%28m%29%2B%283%29%287%29%2B16%5C%5C%5C%5CR_S%3Dm%5E2%2B7m%2B3m%2B21%2B16%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5CR_S%3Dm%5E2%2B%287m%2B3m%29%2B%2821%2B16%29%5C%5C%5C%5CR_S%3Dm%5E2%2B10m%2B37%5C%5C%5C%5C%5Cboxed%7BL_S%3DR_S%7D)
Answer:
$22,071.39
Step-by-step explanation:
= 500*[(1-0.77928606825)/.005]
= 500*44.14278635
= $22,071.39
Answer:
8
Step-by-step explanation:
compare the divisor x+1 with x-a which will be -1 then use remainder theorem to get your answer
Part a)
16 x - 10
f + g = 5x − 12 + 11x + 2= 16x -10
Part b)
f * g = (5x − 12)(11x + 2) = 55x^2 - 132x + 10x - 24 = 55 x^2 - 122 x - 24
<span>Part c) </span>
<span>f(g(x)) = f( 11x + 2) = 5(11x +2) - 12 = 55x + 10 - 12 = 55x-2
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