Answer:
See below in bold.
Step-by-step explanation:
1. x/8 = 15/24
Cross multiplying:
24x = 8*15
x = (8*15)/24
x = 5.
2. 5/6 = 35/x
5x = 6*35
5x = 210
x = 210/5
x = 42.
3.<em> </em>18/42
Divide top and bottom by 6:
18 / 6 / 42/6
= 3/7.
4. 15/75
Divide top and bottom by 15:
= 1/5.
$3.15 would be the cost, after the mark up is added.
Answer:
15 = 0.025
16= 3 years
Step-by-step explanation:
15.
I=prt
15= (200)(r)(3)
200(3) = 600r
15 divided by 600r = 40 (0.025)
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16.
I=prt

t= 3 years
Answer:
If Sarah has three times as many pencils as Mike she has 3 times the number of pencils Mike has which is equivalent to 3 * m. That means Mike has m pencils and Sarah has 3m pencils. they have m + 3m pencils. The expression would be total: m + 3m.
Step-by-step explanation:
- Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept
So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.
Firstly, subtract 3x on both sides of the equation: 
Next, divide both sides by -4 and your slope-intercept form of the original equation is 
Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>
Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>