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Ede4ka [16]
3 years ago
13

06. Kristen can run at 15km/hr and walk at 5 km/hr. She completed a 42 km marathon in 4 hours. What distance did Kristen run dur

ing the marathon?
Mathematics
1 answer:
Mrac [35]3 years ago
7 0
Let x be the time she ran and y be the time she walked 

then distance ran =  25x and distance walked = 5y 

so 15x + 5y = 42

and x + y = 4

* second equn. by -5:-

-5x - 5y = -20

add this to the first equn:0

10x = 22
x = 2.2

distance she ran = 2.2 * 15  =  33 km
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9. Solve the equation. Check your solution, if possible.<br> 1.5x + 1.3x = -8.4
Maksim231197 [3]

Answer:

-3

Step-by-step explanation:

1.5x + 1.3x = -8.4

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3 years ago
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Gnesinka [82]

1. If the line that we are searching for is perpendicular to the line y = -4x, this means that the gradient of our line and the gradient of the perpendicular line will multiply to give -1. Thus if we call the gradient of our line m, then:

m*(-4) = -1

-4m = -1

m = 1/4

2. Since we know that m = 1/4 and we have a point (2,6) on our line, we can use the formula y - y1 = m(x - x1) to find the equation of our line, where (x1, y1) is the coordinates of a point on the line. Thus:

y - y1 = m(x - x1)

y - 6 = (1/4)(x - 2)

y - 6 = (1/4)x - 2/4 (Expand (1/4)(x - 2))

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y = (1/4)x + 11/2 (Evaluate -1/2 + 6)

Slope-intercept form is given by y = mx + c. As our equation is already in this form, there is nothing more to do. Thus, the answer is y = (1/4)x + 11/2

6 0
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juin [17]

Answer:

2 20/24

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divide 4/2=2

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2 20/24

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Nostrana [21]
First;
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Then;
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-2≤x<4
C is the correct answer.
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