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Ipatiy [6.2K]
2 years ago
14

A train traveling at a constant speed covers 320 miles in 4 hours. What equation can be used to model the distance, d miles, the

train travels in time, t hours? (Open response)
Mathematics
2 answers:
vivado [14]2 years ago
7 0

Answer:

80d:1t

Step-by-step explanation:

320mi:4h

80mi:1h

80d:1t

Every hour the train travels 80 miles

marta [7]2 years ago
6 0

Answer: d = 80t

Step-by-step explanation:

320 miles / 4 hours = 80 mph

distance = rate * time

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Step-by-step explanation:

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3 years ago
The length of a rectangle is 6 in. more than the width. The perimeter of the rectangle is 24 in. Find the dimensions of the rect
klasskru [66]

1. First, let us define the width of the rectangle as w and the length as l.

2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:

l = w + 6

3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:

24 = 2w + 2l

4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:

24 = 2w + 2l

if l = w + 6, then: 24 = 2w + 2(w + 6)

24 = 2w + 2w + 12 (Expand 2(w + 6) )

24 = 4w + 12

12 = 4w (Subtract 12 from each side)

w = 12/4 (Divide each side by 4)

w = 3 in.

5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :

l = w + 6

l = 3 + 6

l = 9 in.

6. Therefor the rectangle has a width of 3 in. and a length of 9 in.

8 0
3 years ago
If d , e, and f are midpoints of the sides of ABC, find the perimeter of ABC.
ehidna [41]

Answer:

Perimeter of the ΔDEF = 10.6 cm

Step-by-step explanation:

The given question is incomplete; here is the complete question with attachment enclosed with the answer.

D, E, and F are the midpoints of the sides AB, BC, and CA respectively. If AB = 8 cm, BC = 7.2 cm and AC = 6 cm, then find the perimeter of ΔDEF.

By the midpoint theorem of the triangle,

Since D, E, F are the midpoints of the sides AB, BC and CA respectively.

Therefore, DF ║ BC and FD=\frac{1}{2}\times(BC)

FD = \frac{7.2}{2}

     = 3.6

Similarly, FE=\frac{1}{2}\times(AB)

FE=\frac{8}{2}

FE = 4 cm

And DE=\frac{AC}{2}

DE = \frac{6}{2}

     = 3 cm

Now perimeter of ΔDEF = DE + EF + FD

= 3 + 4+ 3.6

= 10.6 cm

Perimeter of the ΔDEF is 10.6 cm.

7 0
3 years ago
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