Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors. Priya
babysits her neighbor's children. She earns $8.40 per hour. Priya and
Mai have agreed to go to the movies the weekend after they have
earned the same amount of money for the same number of hours. How
many hours do they have to work before they can go to the movies?
How much will they have earned?

10 hours, $84

Step-by-step explanation:

System of equations is:

7x+14=y

8.4x=y

Substitute to get:

7x+14=8.4x

subtract 7x from both sides

14=1.4x

x=10

So they will have to have worked for 10 hours

8.4*10=y

84=y

So they will have earned 84 dollars each

x=10 y=84

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq