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Mumz [18]
3 years ago
15

Please can someone help.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

Step-by-step explanation:

Challenge # 1

Line has a negative slope with positive slope.

Therefore, equation will be,

y = 1.5x - 6

Parallel line to the given line will have same slope = 1.5 but with different y-intercept.

Equation of the parallel line → y = 1.5x + 6

Challenge # 2

Line has a negative y-intercept = -1 (Approx.)

Slope of the line = negative

Therefore, equation of the line will be,

y = -3.7x -1

Line parallel to the given line will have same slope but different y-intercept.

Equation of the parallel line → y = -3.7x + 1

Challenge # 3

Line with negative slope and no y-intercept.

y = -0.8x

Parallel line to the given line will have same slope and different y-intercept.

Equation of the parallel line → y = -0.8x + 1

Challenge # 4

Line in the graph has positive slope and negative y-intercept.

y = -5 + 4.2x

Line parallel to the given line will have same slope but different y-intercept.

Equation of the parallel line → y = - 7 + 4.2x

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dedylja [7]

Answer:

Carter family = 25 hours

Davis family = 31 hours

Step-by-step explanation:

Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.

So combined:

x + y = 45 hours

and we are also told that:

40x + 15y = 1300 L

So we can do simultaneous equations to solve the problem.

With some rearranging, we can figure out that:

y= 45 - x

and by substituting that into the second equation:

40x + 15 (45 -x) = 40x + 675 - 15x = 1300L

25x = 1300 - 675

25x = 625

x = 25 = hours that the Carter family used their sprinkler

and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:

25 + y = 56

y = 31

The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.

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Jim and Jesse had the same amount of $. Jim spent $58 to fill car and Jesse spent $37 on snacks. Afterward the ratio of Jim's to
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