Find X:
38=(3x+4)+(5x-6)
combine like terms
38=8x-2
add 2 to both sides
40=8x
divide both sides by 8
5=x
Find AB:
16=3x+4
subtract 4 from both sides
12=3x
divide by 3
4=x
Find BC:
16=5x-6
add 6 to both sides
22=5x
divide both sides by 5

8 0

4 years ago

A contractor has installed a silt fence around an area that is semi-circular and level to prevent soil from the construction sit

monitta

We know is a semi-circle, so let us use the equation for the area of a circle instead, and then, half it
so, the diameter is 1100, meaning the radius is half that, or 550

so... $\textit{area of a circle}=\pi r^2\qquad r=radius=\frac{diameter}{2}=\frac{1100}{2}=550
\\ \quad \\
\textit{area of a semi-circle}=\cfrac{\pi r^2}{2}\impliedby \textit{enclosed acres}
\\ \quad \\
\textit{circumference of a circle}=2\pi r
\\ \quad \\
\textit{circumference of a semi-circle}=\cfrac{2\pi r}{2}\impliedby \textit{linear feet of fence}$

6 0

3 years ago

Conrad spent $48 on art supplies. The canvas for each of his paintings is an additional $2. He plans to sell his paintings for $

Gnom [1K]

I’m sorry I didn’t mean to tell 6

6 0

3 years ago

Suppose you have a job teaching swimming lessons and get paid $6 an hour. You also have job as cashier and get paid $8 and hour.

VikaD [51]

This is a system of equations problem.

L = Hours of Swim Lessons
C = Hours as Cashier

L + C = 15 This is an equation for working 15 hours total.
so
L = 15-C

6L + 8C = 100 This is an equation for making at least $100.
so
6 (15-C) + 8C = 100 *You substituted 15-C for L here
90 - 6C + 8C = 100 Distribute
90 + 2C = 100
2C = 10
C = 5 You can work 5 hours as a cashier

L + C = 15
L + 5 = 15
L = 10 You can work 10 hours teaching swimming lessons.

If you want to make EXACTLY $100 you would work 5 hours as cashier and 10 hours teaching swimming lessons.

HOWEVER, the question says AT LEAST $100 and NOT MORE than 15 hours per week. Since you make more money as a cashier, any work over 5 hours will help you make over $100.

As long as you work at least 5 hours as a cashier and any remaining hours teaching swimming lessons, you will make over $100.

5 cashier, 10 swimming
6 cashier, 9 swimming
7 cashier, 8 swimming...

Mr. Pacey
JH/HS Social Studies Teacher
(but I've also helped with Math Team for JH & HS)

4 0

3 years ago