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Vikentia [17]
2 years ago
10

Jack jogs and rides his bike for a total of 75 minutes every day. He rides his bike for 15 minutes longer than he jogs. Part A:

Write a pair of linear equations to show the relationship between the number of minutes Jack jogs (x) and the number of minutes he rides his bike (y) every day. (5 points).
Mathematics
2 answers:
ivolga24 [154]2 years ago
6 0

Jack jogs for 30 minutes and he rides his bike for 45 minutes

Let x represent the number of minutes jogged and y represent the number of minutes that he ride his bike.

Jack jogs and rides his bike for a total of 75 minutes every day. hence:

x + y = 75   (1)

He rides his bike for 15 minutes longer than he jogs. hence:

y = x + 15

-x + y = 15    (2)

Solving equations 1 and 2 simultaneously gives:

x = 30, y = 45

Jack jogs for 30 minutes and he rides his bike for 45 minutes

Find out more on equation at: brainly.com/question/13763238

HACTEHA [7]2 years ago
3 0

Answer:

for B : he spend 30 minutes jogging and 45 minutes riding his bike

Step-by-step explanation:

75-15=60

60/2=30

jogging (x) =30

30+15=45

riding bike (y) =45

hopefully that help with B

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3x + 1 = 5X-13 if anyone knows what to do can they please help ​
Elza [17]

Answer:

  x = 7

Step-by-step explanation:

First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).

If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.

I like to start by subtracting <em>the variable term with the smallest coefficient</em>. Here, that is 3x, so we add -3x to both sides of the equation.

  3x -3x +1 = 5x -3x -13

  1 = 2x -13 . . . . . . . . . . . . combine like terms

Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:

  1 +13 = 2x -13 +13

  14 = 2x . . . . . . . . . . . . combine like terms

Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.

  (1/2)(14) = (1/2)(2x)

  7 = x . . . . the solution

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It is generally a good idea to <em>check your work</em> by seeing if your solution value satisfies the equation:

  3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation

  21 +1 = 35 -13

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_____

<em>Additional comment</em>

By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...

  -2x +1 = -13

Subtracting 1 would give

  -2x = -14

and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.

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3 years ago
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Answer

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Step-by-step explanation:

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Answer:

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