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Vladimir [108]
3 years ago
9

Can someone help with this please?

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0

Answer:

y = x - 3

Step-by-step explanation:

From the table attached,

Scatter plot given in the graph is correct.

Let the equation of the line passing from a point (x', y') is,

y - y' = m(x - x')

m = slope

Slope of the line passing through two points (x_2,y_2) and (x_1,y_1) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of the line passing through the points (11, 8) and (12, 9) will be,

m = \frac{(9-8)}{(12-11)} =1

Therefore, equation of the line passing through (11, 8) will be,

y - 8 = 1(x - 11)

y = x - 11 + 8

y = x - 3

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Volunteers helped clean up 8.2 kg of trash in one neighborhood and 11 1/2 kg in another. They sent 1 1/4 kg to be recycled and t
Ivan

Answer: 18.45\ kg or 18\frac{9}{20}\ kg

Step-by-step explanation:

We can convert from mixed numbers to decimal numbers:

11\frac{1}{2}\ kg=(11+0.5)\ kg=11.5\ kg\\\\1\frac{1}{4}\ kg=(1+0.25)\ kg=1.25\ kg

Since they cleaned up 8.2 kilograms of trash in one neighborhood and 11.5 kilograms in another neighborhood, the total trash they cleaned up was:

Total=8.2\ kg+11.5\ kg\\\\Total=19.7\ kg

We know that they sent 1.25 kilograms to be recycled. Then, in order to calculate how many kilograms of trash they threw away, we must subtract the total kilograms of trash they cleaned up and the kilograms they sent to be recycled.

Then:

19.7\ kg-1.25\ kg=18.45\ kg or 18\frac{9}{20}\ kg

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4 years ago
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Anna11 [10]
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Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
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Answer:

54.6

Step-by-step explanation:

42 =  70%

100% - 70% = .30%

42 x 1.3 = 54.6

 

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Mrs. Fields has a bag of marbles. One-fourth of the marbles are red. How many marbles can there be in the bag?
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