Jacob has several babysitting jobs. on one job, he earned $10 an hour plus an extra $20 since there were 3 children. on the other job, he earned $15 an hour
he earned the same amount of money at both jobs. how many hours did he work and how many hours did he earn?
here are the equations
d= 15h
d= 10h+20
a: 2 hours,$40
b: 4 hours $60
c: 3 hours $45
d: 5 hours $75

4 hours, $60

Step-by-step explanation:

Assuming "d" is equal to the dollars Jacob earned and h= hours, you start by setting the equations equal to each other, since both are equal to "d."

15h=10h+20

Subtract 10h from both sides (to combine like terms) so the equation becomes:

5h=20

Divide 5 from both sides, to isolate "d" :

h=4

The number of hours Jacob worked is 4, as the equation above shows. To find the amount of money Jacob made, substitute 4 as "h" into the two original equations:

d= 15(4) d=$60

d=10(4)+20 d=$60

Jacob earned $60 dollars in 4 hours.

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step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .