Amelia has a job baby-sitting for a neighbor she is paid $20 plus $2.50 for each hour on the job. if amelia wants to earn $40 to buy a new sweater, how many hours would she need to work?

8 hours

Step-by-step explanation:

set up your equation as y=mx+b. if she gets paid $20 already then that's your b. y= mx+ 20. x is your hours, so if she gets paid 2.5 with every hour then that would be your m. y=2.5x+20. if the sweater costs $40 and you already received $20 as your start up pay, then you only need to earn $20 more. you divide 20 by 2.5 and get 8. that means Amelia needs to work 8 hours to pay for the new sweater she wants. plug it in to double check your work,

40 = 8(2.5)+20

-20             -20

20 = 8(2.5)

20 = 20

-20   -20

=0

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.