The factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)
<h3>How to factor the expression?</h3>
The expression is given as:
m(2a+b)-n(2a+b)+2n(2a+b)
Factor out 2a + b
m(2a+b)-n(2a+b)+2n(2a+b) = (m - n + 2n)(2a + b)
Evaluate the like terms
m(2a+b)-n(2a+b)+2n(2a+b) = (m + n)(2a + b)
Hence, the factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)
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Answer:
Question 1: A
Question 2: C
Step-by-step explanation:
The answer to question 1 is A. I know this is correct because Max needs to earn 108 dollars for the headphones he wants so the amount of money he earns per hour which is 15, times the amount of hours he needs to work which is x has to be greater than 108. So, the inequality equation has to be 15x > 108 which is answer A.
The answer to question 2 is C. I know this is correct because Felicia has 2 sisters which make 3 sisters in total to pay for the gift. They all pay evenly, so the first part of the equation would be 3x. The cost for the gift is less than 80 dollars, so we write the inequality equation like 3x < 80 which is answer C.
5x + 2y = 7....multiply by -3
-2x + 6y = 9
----------------
-15x - 6y = -21 (result of multiplying by -3)
-2x + 6y = 9
---------------add
-17x = - 12
x = 12/17 or 0.7
5x + 2y = 7
5(12/17) + 2y = 7
60/17 + 2y = 7
2y = 7 - 60/17
2y = 119/17 - 60/17
2y = 59/17
y = 59/17 * 1/2
y = 59/34 or 1.7 when rounded <====
A=r^ 2 * pi=35^ 2 *3.14=3846.5m
