For a Saturday matinee, adult tickets cost $4.50 and kids under 12 pay only $2.00. If 100 tickets are sold for a total of $350,
1 answer:
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Answer:
2x + 1
Step-by-step explanation:
Factor out 2x² - 5x-3
divide x - 3 by x - 3
=> 2x + 1
<em><u>Or another step</u></em>
Step by Step Solution
STEP
1
:
Equation at the end of step 1
STEP
2
:
2x² - 5x - 3/ x - 3
Trying to factor by splitting the middle term
2.1 Factoring 2x² - 5x - 3
The first term is, 2x² its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .
-6 + 1 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1
2x² - 6x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (x-3)
Which is the desired factorization
Canceling Out :
2.2 Cancel out (x-3) which appears on both sides of the fraction line.
Final result :
2x + 1
Answer:
The answer is
<h2>9/100</h2>Step-by-step explanation:
11.5/128
First convert the decimal to an improper fraction
That's
So we have
Change the division sign to multiplication sign and reverse the second number
That's
Simplify
Divide through by 32
The final answer is
Hope this helps you