Mike works a total of 57 hr per week at his two jobs. He makes $7 per hour at job A and $8 per hour at job B. If his total pay for one week is $421 before taxes, then how many hours does he work at each job?

He spends 35 hours working at job A and 22 hours working at job B.

Let x represent the number of hours spent working in job A and y represent the number of hours spent working in job B.

Since he works a total of 57 hour per week, hence:

x + y = 57     (1)

Also  his total pay for one week is $421, therefore:

7x + 8y = 421  (2)

Solving equations 1 and 2 simultaneously gives:

x = 35, y = 22

He spends 35 hours working at job A and 22 hours working at job B.

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He work at A for 35 hours

He work at B for 22 hours

Step-by-step explanation:

Let the number of hours be A and B

He works a total of 57 hr per week at his two jobs

A + B = 57 (1)

He makes $7 per hour at job A and $8 per hour at job B and the total pay for one week is $421 

7A + 8B = 421 (2)

Solve equation 1 and 2 simultaneously

7A + 7B = 399

7A + 8B = 421

B = 22 hours

Substitute B in equation 1

A + 22 = 57

A = 35 hours

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step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.