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choli [55]
3 years ago
12

Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hou

r, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Step-by-step explanation:

x = number of hours A

y = number of hours B

x + y = 23

5.7x + 7.1y = 143.7

from the first equation we get

x = 23 - y

this we use in the second

5.7×(23 - y) + 7.1y = 143.7

131.1 - 5.7y + 7.1y = 143.7

1.4y = 12.6

y = 12.6/1.4 = 9

x = 23 - y = 23 - 9 = 14

she worked 14 hours on job A and 9 hours on job B.

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Given: 15+6(y−2)=21 Prove: y = 3 Drag and drop the reasons into the boxes to correctly complete the proof. Statement Reason 15+6
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Answer:

Given:  15+6(y-2)=21

Distributive Property tells us that we multiply each term inside the parentheses with the term outside of the parentheses.

a\cdot(b-c) =a\cdot b -a\cdot c

Using distributive property on expression 6(y-2) to solve the further expression as:

15+6\cdot y - 6\cdot 2=21

Simplify:

15+6y-12 =21

Subtract the number 12 from 15 we get 3;

therefore, the expression become:

6y+3=21

Subtraction property of equality tells us that subtract the same number from both sides of an equation.

Now, subtract 3 from both the sides we get;

6y+3-3=21-3

Simplify:

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Now, divide by 6 on both the sides we get;

\frac{6y}{6}= \frac{18}{6}

On simplify we get;

y =3           Hence Proved!





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