Answer:
B. (0,5). Hope this helps you
Answer:
<u>x² + 7x + 10 = (x + 2) (x + 5)</u>
Step-by-step explanation:
Given: x squared plus 7 x plus 10
The algebraic expression is ⇒ x² + 7x + 10
To factor the expression, we need to find two numbers, their product = 10
and their sum = 7
Factor the number 10
10 = 1 * 10 ⇒ 1 + 10 = 11
10 = 2 * 5 ⇒ 2 + 5 = 7
So, the numbers are 2 and 5
<u>So, x² + 7x + 10 = (x + 2) (x + 5)</u>
1) Write this as a ratio...
77.5 miles / 3.1 gallons = x miles / 8.2 gallons
Solve for x... multiply by 8.2 gallons on both sides (that cancels it on the right) side of the equation.
8.2 gallons * 77.5 miles / 3.1 gallons = x
635.5/ 3.1 = x
211.83 miles = x
Justin travels 211.83 miles on 8.2 gallons of gas
2) If we let boys = b, then girls has to be b + 15 (since there are 15 more girls than boys). Now together there are 85 members of the band so... boys + girls = 85 and since girls is b + 15, then...
b + b+15 = 85
Now solve for b. First combine like terms...
2b + 15 = 85
Now subtract 15 from each side (cancels the 15 on the left)
2b + 15 - 15 = 85 - 15
2b = 70
Now divide each side by 2 (cancels 2 on the left)
2b / 2 = 70 / 2
b = 35
So there are 35 boys in the band.
Just FYI, that also means there are 35+15 = 50 girls. Just so happens that 50 + 35 = 85 so our work checks!
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