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Alborosie
3 years ago
5

Sam got a new job with a $7.00 per hour raise. He worked for 5 hours and got paid $85.00. How much did he make before the raise?

Mathematics
2 answers:
slega [8]3 years ago
6 0
1.) A. $10.00 per hour
2.) B. 21 days
3.) A. 2
4.) D. 8
5.) B. 13
kherson [118]3 years ago
6 0

<u>Part a)</u> Sam got a new job with a $7.00 per hour raise. He worked for 5 hours and got paid $85.00. How much did he make before the raise?

Let

x--------> amount that Sam earned before the raise

we know that

(x+7) *5 =85

<u>Solve for x</u>

5x+35 =85

5x =85-35

5x =50

x=10\ dollars\  per\  hour

therefore

<u>the answer Part a) is the option</u>

A. $10.00 per hour

<u>Part b)</u> Julia knows 19 Latin words. Each day, she learns 6 new words. How many days until she knows 145?

Let

x-------> the number of days

y-------> the total words Julia Knows

we know that

y=19+6x ------> equation 1

For y=145

<u>Find the value of x</u>

Substitute in the equation 1 the value of y

145=19+6x

6x=145-19

6x=126

x=21\ days

therefore

<u>the answer Part b) is the option</u>

B. 21

<u>Part c)</u> Claire has a part-time job walking dogs Monday through Friday. Business has really increased. She is walking 3 more dogs per day than she did last week. If she walked a total of 35 dogs this week, how many dogs did she walk per day last week?

Let

x--------> the number of dogs that Claire walked last week per day

we know that

x=\frac{35}{5}  -3\\\\ x=7-3\\\\x=4\ dogs\ per\ day

therefore

<u>the answer Part c) is the option </u>

C. 4

<u>Part d)</u> Kayla needs to have $560.00 to buy a new laptop. She already has $200.00 in the bank. Each month she will add $45.00 to her bank account. How many more months until she has enough money to buy her laptop?

Let

x--------> the number of months

y-------> amount in the bank account in dollars

we know that

y=45x+200

<u>Find the value of x for y=560</u>

560=45x+200

45x=560-200

45x=360

x=8\ days

therefore

<u>the answer part d) is the option</u>

D. 8

<u>Part e)</u> Mark bought a notebook for $1.45 and some pencils that cost $0.42 each. If total cost was $6.91, how many pencils did he buy?

Let

x------> the number of pencil

we know that

6.91= 1.45+0.42x\\\\   0.42x=6.91-1.45\\\\ 0.42x=  5.46\\\\ x=  13\ pencils

therefore

<u>the answer part e) is the option</u>

B. 13

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as you can see, it's just a matter of factoring 288using arithmetic...√288=16.97≈1716 and 18 are the integers (as well as -16 and -18)
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