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Arisa [49]
3 years ago
5

Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip and then at an average speed of 60 miles p

er hour for the remaining 30 miles of the trip. If she made no stops during the trip, what was Susan's average speed, in miles per hour, for the entire trip?a. 35
b. 40
c. 45
d. 50
e. 55
Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer: option B is the correct answer.

Step-by-step explanation:

Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip.

Time = distance/speed

This means that time spent by Susan in travelling the first 30 miles would be

Time = 30/30 = 1 hour

He travelled at an average speed of 60 miles per hour for the remaining 30 miles of the trip.

Time = 30/60 = 0.5 hours

Total distance travelled is 30 + 30 = 60 miles.

Total time spent = 1 + 0.5 = 1.5 hours

Speed = distance/time

Average speed = 60/1.5 = 40 miles per hour.

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Allushta [10]

Answer:

x = 17 and y = 8

Step-by-step explanation:

Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.

Therefore, you can set them equal to each other and solve for x.

8x - 31 = 6x + 3

Combine like terms

2x = 34

Divide both sides by two

x = 17

Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.

(5y + 35) + (6(17) + 3) = 180

Add like terms

5y + 140 = 180

5y = 40

y = 8

7 0
3 years ago
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Aleks04 [339]

Answer:

G. x = 1, x = -2

3 0
3 years ago
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yanalaym [24]

Answer:

Hold on a sec i cant remember

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%7B25-10%5Csqrt%7B3%7D%2B3%20%7D" id="TexFormula1" title="\sqrt{25-10\sqrt{3}+3 }" alt=
Varvara68 [4.7K]
Here is your answer: )

6 0
2 years ago
Quadrilateral ABCD in the figure below represents a scaled-down model of a walkway around a historic site. Quadrilateral EFGH re
Mkey [24]

the picture in the attached figure

Step 1

Find the perimeter of the scaled-down model of a walkway (Quadrilateral ABCD)

P=AD+DC+CB+BA\\P=3+2+2+4\\ P=11 in

Step 2

Find the scale factor

if Quadrilateral ABCD is similar to Quadrilateral EFGH

then

PerimeterEFGH=PerimeterABCD*scale factor

scale.factor=\frac{EF}{AB} \\ \\ scale.factor=\frac{60}{4} \\ \\ scale.factor=15\frac{ft}{in}

Step 3

Find the perimeter of the actual walkway (Quadrilateral EFGH)

PerimeterEFGH=PerimeterABCD*scale factor

PerimeterEFGH=11*15

PerimeterEFGH=165 ft

therefore

the answer is

165 ft

8 0
3 years ago
Read 2 more answers
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