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xz_007 [3.2K]
3 years ago
15

Francis earns $3.50 an hour mowing lawns. He also gets a $10.00 a week allowance. Bella earns $5.25 an hour babysitting and spen

ds $11.00 a week on books. If Francis and Bella work the same number of hours a week and have the same amount of money at the end of each week, for how many hours a week and have the same amount of money at the end of each week, for how many hours a week do they each work?
Write an equation, solve, and check.
Mathematics
1 answer:
Alika [10]3 years ago
8 0
3.5h+10=5.25h-11
21=1.75h
12=h

3.5(12)+10=5.25(12)-11
52=52
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I need help.................
Yanka [14]

Answer:

-33 and -21

Step-by-step explanation:

-36, <u>-33</u>, -30, -27, -24, <u>-21</u>, -18

-36

-36 + 3 = -33

-33 + 3 = -30

-30 + 3 = -27

-27 + 3 = -24

-24 + 3 = -21

-21 + 3 = -18

8 0
3 years ago
286 children enter the brass band competition.There are 27 teachers who accompany them and 19 parents.How many people visit the
shutvik [7]

Answer:

332

Step-by-step explanation:

286+27+19

8 0
4 years ago
Read 2 more answers
56 times a number minus 13 is equal to 6 less than the number.
Elena L [17]

Answer:

The equation is 56x - 13 = x - 6

Step-by-step explanation:

Let's say our 'number' is x. If it says it's 56 times our number, it's 56x. Minus 13, which is 56x - 13. If it is equal than 6 less than the number, then it is x - 6.

So the equation is 56x - 13 = x - 6

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B2%7D-1%7D%7B2-5a%7D%20times%20%5Cfrac%7B15a-6%7D%7Ba%5E%7B2%7D%2B5a-6%7D" id=
stepan [7]
\bf \cfrac{a^2-1}{2-5a}\times \cfrac{15-6}{a^2+5a-6}\\\\&#10;-----------------------------\\\\&#10;recall\quad \textit{difference of squares}&#10;\\ \quad \\&#10;(a-b)(a+b) = a^2-b^2\qquad \qquad &#10;a^2-b^2 = (a-b)(a+b)\\\\&#10;thus\quad a^2-1\iff a^2-1^2\implies (a-1)(a+1)&#10;\\\\\\&#10;now\quad a^2+5a-6\implies (a+6)(a-1)\\\\&#10;-----------------------------\\\\&#10;thus&#10;\\\\\\&#10;\cfrac{a^2-1}{2-5a}\times \cfrac{15-6}{a^2+5a-6}\implies \cfrac{(a-1)(a+1)}{2-5a}\times \cfrac{3(5a-2)}{(a+6)(a-1)}\\\\&#10;-----------------------------\\\\&#10;

\bf now\quad 3(5a-2) \iff -3(2-5a)\\\\&#10;-----------------------------\\\\&#10;thus&#10;\\\\\\&#10;\cfrac{\underline{(a-1)}(a+1)}{\underline{2-5a}}\times \cfrac{-3\underline{(2-5a)}}{(a+6)\underline{(a-1)}}\implies \cfrac{-3(a+1)}{a+6}
6 0
3 years ago
5 times a number is 14 less than the square of that number. Find the negative solution.
Brrunno [24]

Let x = your number.

5x = x^2 - 14. To figure out the number, we have to first subtract 5x from each side.

0 = x^2 - 5x - 14. Factor.

0 = (x - 7) (x + 2). Set both terms to 0.

(x - 7) = 0. Add 7 to each side.

x = 7. You're looking for the negative value so this isnt the right one.

Set the other term (x + 2) equal to 0

(x + 2) = 0. Subtract 2 from each side.

x = -2

The negative solution for your number is -2

6 0
4 years ago
Read 2 more answers
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