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dusya [7]
3 years ago
11

The distance that Sarah travels varies directly to how long she drives. She travels 440 miles in 8 hours. 

Mathematics
2 answers:
Vilka [71]3 years ago
7 0

Answer:

d=55t  Sara travels 330 miles

Step-by-step explanation:

We are given that distance, d, Sarah drives varies directly to the time, t. This means

d=k⋅t

for some constant, k. Since Sarah travels 440 miles in 8 hours, we substitute these values into the formula for direct variation to find

440=k⋅8

Dividing by 8 gives k=55, so an equation that relates d and t is

d=55t

Substituting t=6 yields

55(6)=330

So Sarah can travel 330 miles in 6 hours.

lesantik [10]3 years ago
4 0

440/8 will get you how many miles Sarah travel in 1 hour.

But Sarah travels 55 miles in 1 hour.

Sarah can travel 330 miles in 6 hour.

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Answer:

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Step-by-step explanation:

To solve this problem, just calculate the distance from the House to the Library, then the distance from the Library to the Post office and finally to the Post office to the house.

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AlSO IF YOU WANT THE STEP BY STEP EQUATION IT IS--->

dHL = \sqrt{(-2 + 3)^{2} + (-2 - 2)^{2}}

dHL = \sqrt{(1)^{2}+ (-4)^{2}}

dHL = \sqrt{17} = 4.1

dLP = \sqrt{(-2 -2)^{2} + (-2-2)^{2}}

dLP = \sqrt{(-4)^{2} + (-4)^{2}}

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dPH = \sqrt{(2 + 3)^{2}+ (2 - 2)^{2}}

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dPH = \sqrt{25}

dPH = 5

Minimum distance = 4.1 + 5.7 + 5

Minimum distance = 10.7

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Answer:

The slope of the line is -\frac{2}{3}

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The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.​
Sedaia [141]

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Perimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

<u>Step 1: Define</u>

P = 163 yards

w = 2l + 8

l = l

<u>Step 2: Set up equation</u>

P = 2w + 2l

163 = 2(2l + 8) + l

<u>Step 3: Solve for </u><em><u>l</u></em>

  1. Distribute 2:                              163 = 4l + 16 + l
  2. Combine like terms:                 163 = 5l + 16
  3. Subtract 16 on both sides:        147 = 5l
  4. Divide both sides by 5:             147/5 = l
  5. Rewrite:                                      l = 147/5
  6. Evaluate:                                    l = 29.4 yards

<u>Step 4: Find </u><em><u>w</u></em>

  1. Define:                    w = 2l + 8
  2. Substitute:              w = 2(29.4) + 8
  3. Multiply:                  w = 58.8 + 8
  4. Add:                        w = 66.8 yards
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