Julio is paid 1.1 times his normal hourly rate for each hour he works over 30 hours in a week. last week he
worked 41 hours and earned $606.24.
enter and solve an equation to find julio's normal hourly rate, r. complete the explanation how you know
that your answer is reasonable.
the earnings equation is $606.24 =
julio's hourly rate is $
per hour.
this is reasonable because working 41 hours at a rate of $14 per hour is
41 - 14=41(10 + 4) = 410 + 164 =
and $
is close to $606.24.

Julio's hourly rate is $14.4 per hour

Step-by-step explanation:

Let

r > Julio's normal hourly rate

we know that

The linear equation that represent this scenario is

30r+(41-30)(1.1r)=606.24

30r+(11)(1.1r)=606.24

30r+12.1r=606.24

42.1r=606.24

Solve for r    

r=606.24/42.1

r=14.4

therefore

Julio's hourly rate is $14.4 per hour

Verify

606.24=30(14.4)+(41-30)(1.1)(14.4)

606.24=432+174.24

606.24=606.24 > is ok

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9