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ira [324]
3 years ago
6

Ratio of pens to pencils is 4:5, if there are 120 pens how many pencils are there?

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
8 0

120/4 = 30

5 * 30 = 900

120 pens : 900 pencils

If there are 120 pens, there are 900 pencils.

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Solve 3m+7/2=−2m+5/2 what is m
GenaCL600 [577]
Solve for m:3 m + 7/2 = 5/2 - 2 m
Put each term in 3 m + 7/2 over the common denominator 2: 3 m + 7/2 = (6 m)/2 + 7/2:(6 m)/2 + 7/2 = 5/2 - 2 m
(6 m)/2 + 7/2 = (6 m + 7)/2:(6 m + 7)/2 = 5/2 - 2 m
Put each term in 5/2 - 2 m over the common denominator 2: 5/2 - 2 m = 5/2 - (4 m)/2:(6 m + 7)/2 = 5/2 - (4 m)/2
5/2 - (4 m)/2 = (5 - 4 m)/2:(6 m + 7)/2 = (5 - 4 m)/2
Multiply both sides by 2:6 m + 7 = 5 - 4 m
Add 4 m to both sides:6 m + 4 m + 7 = (4 m - 4 m) + 5
4 m - 4 m = 0:6 m + 4 m + 7 = 5
6 m + 4 m = 10 m:10 m + 7 = 5
Subtract 7 from both sides:10 m + (7 - 7) = 5 - 7
7 - 7 = 0:10 m = 5 - 7
5 - 7 = -2:10 m = -2
Divide both sides of 10 m = -2 by 10:(10 m)/10 = (-2)/10
10/10 = 1:m = (-2)/10
The gcd of -2 and 10 is 2, so (-2)/10 = (2 (-1))/(2×5) = 2/2×(-1)/5 = (-1)/5:Answer: m = (-1)/5
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4 years ago
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Answer:

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7 0
3 years ago
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Eric plotted the graph below to show the relationship between the temperature of his city and the number of cups of lemonade he
alexandr1967 [171]

Answer:

The answer for part A: If the city is hotter in temperature more people will want the cold refreshing lemonade.

Part B: The line of best fit is a line that will have the same amount of point on each side so you should draw a straight line and then make sure it has the same amount of point on each side. To calculate the slope use Y2-Y1/X2-X1, Y-intercept is the point that intercepts the Y-intercept.

Step-by-step explanation:

Part A: Because if it is hot outside you will sweat more being less hydrated which is why more people would want a drink especially lemonade.

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3 years ago
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The equation of a line is -6x-2y=-18<br> What is the x-intercept of the line?
Fed [463]

 -6x - 2y = -18

-6x - 2(0) = -18

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Answer:

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