The complete question is as follows:
Jessica is a custodian at Oracle Arena. She waxes 20
of the floor in
of and hour. At this rate, how many square meters can she wax per hour
?
Answer:
![\mathbf{\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7B100%7D%7B3%7D%5Capprox33.33%20%5C%20m%5E%7B2%7D%20%5C%20per%20%5C%20hour%7D)
Step-by-step explanation:
![\textrm{rate}=\frac{\textrm{Area waxed in square meter}}{\textrm{Time taken to wax in hours}}](https://tex.z-dn.net/?f=%5Ctextrm%7Brate%7D%3D%5Cfrac%7B%5Ctextrm%7BArea%20waxed%20in%20square%20meter%7D%7D%7B%5Ctextrm%7BTime%20taken%20to%20wax%20in%20hours%7D%7D)
![\textrm{rate}=\frac{20 \ \textrm{m}^{2}}{\frac{3}{5} \ \textrm{hours}}](https://tex.z-dn.net/?f=%5Ctextrm%7Brate%7D%3D%5Cfrac%7B20%20%5C%20%5Ctextrm%7Bm%7D%5E%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B5%7D%20%5C%20%5Ctextrm%7Bhours%7D%7D)
![\textrm{rate}=\frac{20\times5}{3}](https://tex.z-dn.net/?f=%5Ctextrm%7Brate%7D%3D%5Cfrac%7B20%5Ctimes5%7D%7B3%7D)
![\mathbf{rate=\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}](https://tex.z-dn.net/?f=%5Cmathbf%7Brate%3D%5Cfrac%7B100%7D%7B3%7D%5Capprox33.33%20%5C%20m%5E%7B2%7D%20%5C%20per%20%5C%20hour%7D)
(2m + 7) - (3 - 4m)
First distribute the (-) in front of the quantity of 3 - 4m.
Think of it as this:
-1(3 - 4m)
You multiply each number inside the parenthesis by -1.
So:
3*-1 = -3
-4m * -1 = 4m
Now that you've distributed the negative you can remove the parenthesis.
Now you'll just set it all up like you would any normal problem. Because -3 is negative you'll make it subtract.... I'll show you what I mean:
2m + 7 - 3 + 4m
Combine like terms (Terms which have the same variables... in this case the same number of m's)
Rearranging them can help!
4m + 2m + 7 - 3
6m + 7 - 3
6m + 4, is our difference!
Answer:
here are a few that are equivalent
8:6
28:21
48:36
68:51
Equation is y = 4x + 5
Step-by-step explanation:
- Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0
⇒ m = (5 - 9)/(0 - 1) = 4
- Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
- Step 3: Write the equation in slope-intercept form
⇒ y = 4x + 5