9514 1404 393
Answer:
each has to work 5 hours and earn $42
Step-by-step explanation:
Let m and h represent hours Nai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting. In order for their earnings to be equal, we must have ...
7m +14h = 8.40(m+h)
5.60h = 1.40m . . . . . . . . subtract 7m+8.40h
m = 4h . . . . . . . . . . . . . . divide by 1.40
Then the total number of hours worked by either person is ...
m + h = (4h) +h = 5h
If only whole numbers of hours are worked, then the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.
Each must work 5 hours and earn $42 before they go to the movies.
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Nai will work 4 hours mowing and 1 hour hauling.
Answer:
14
Step-by-step explanation:
14 +18= 32
32 x 6= 192
Answer: (x - 6)(x + 1)
Step-by-step explanation: This trinomial has an x² term, an x term and a constant term so it can be factored as the product of two binomials.
So starting with our two sets of parentheses, x² factors as x multiplied by x. Now we want to find factors of the constant term that add to the coefficient of the middle term. So we're looking for factors of -6 that add to -5.
A negative number factors into the product of a positive and a negative. So our factors of -6 are 6 × -1, -6 × 1, 3 × -2, or -3 × 2.
This is a trick problem because many of these pairs of factors look like they could add to -5 but the only one that does is -6 × 1.
So our answer is (x - 6)(x + 1).
Answer:

Step-by-step explanation:
Isolate x on one side of the equation.
First, subtract 7 from both sides.
x+7-7>2-7
Solve.
2-7=-5
x>-5
So, the final answer is x>-5.