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Lera25 [3.4K]
3 years ago
15

Ben walks at a rate of 3 miles per hour. he runs at the rate of 6 miles per hour. in one week, the combined distance that he wal

ks and runs is 210 miles. write a linear model that relates the number of hours that Ben walks to the number of hours Ben runs
Mathematics
2 answers:
9966 [12]3 years ago
8 0
If he only runs he ran 35 hours that and if he only walked he walked 70 hours that week
andreyandreev [35.5K]3 years ago
8 0

Answer: 3x+6y=210


Step-by-step explanation: x= walking y= running


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Write the equation of line in slope-intercept form :Line parallel to the y-axis that passes through the point (77,88) PLZ HELP
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A line parallel to the y-axis that passes through (77,88) is x = 77.  There is no slope-intercept form of this equation if our coordinate system is based upon a horizontal x-axis and a vertical y-axis.

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A hockey player hits a puck along the ice, giving it an initial speed of 2.9 meters per second. If there is no friction between
Alborosie
2.9 × 1.7 = 4.93

After 1.7 seconds, the puck's speed would be 4.93 meters per second.
5 0
2 years ago
Eva has £6.05 in her moneybox.
PIT_PIT [208]

Answer:

11 of 20p, 22 of 10p and 33 of 5p

Step-by-step explanation:

Eva has 20p, 10p and 5p coins, total of £6.05 = 605p

Let 20p=x, 10p=y, 5p=z

<u>Then</u>:

  • 20x + 10y + 5z = 605
  • y : x = 2 : 1 ⇒ x= y/2
  • y : z = 2 : 3 ⇒ z= 3y/2

<u>Rewriting the first equation considering next two:</u>

  • 10y + 10y + 7.5y = 605
  • 27.5y = 605
  • y= 605/27.5
  • y= 22
  • x= y/2 = 22/2 = 11
  • z = 3y/2 = 3*11 = 33

<u>Answer:</u> 11 of 20p coins, 22 of 10p coins and 33 of 5p coins

3 0
2 years ago
A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.
vlada-n [284]

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

5 0
3 years ago
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