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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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The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder wi
klasskru [66]

The number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

In the question, we are given that the radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters.

We are asked to find the number of times one needs to use the completely filled cone to completely fill the cylinder with water.

The volume of a cylinder is calculated using the formula, V = πr²h.

The volume of a cone is calculated using the formula, V = (1/3)πr²h.

In both the formulas r is the radius and h is the height.

The volume of the given cylinder using the formula is π(10)²(20) cm³ = 2000π cm³.

The volume of the given cone using the formula is (1/3)π(5)²(10) cm³ = (250/3)π cm².

The number of times one needs to use the completely filled cone to completely fill the cylinder with water =

The volume of the given cylinder/The volume of the given cone,

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = {2000π cm³}/{(250/3)π cm²},

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = 24.

Thus, the number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

Learn more about the volume of a cylinder and cone at

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8 0
1 year ago
What times itself 3 times to get -0.125
Verdich [7]
That would be -0.041

-0.125/3 = -0.041666666
5 0
3 years ago
Original grade: 80<br> New grade: 100<br> Find the percent of increase.<br> 107
Kipish [7]

Step-by-step explanation:

Based on the given conditions,

Formulate:(100-80)÷80

Calculate the sum or difference:20/80

Cross out the common factor:1/4

Multiply a number to both the numerator and the denominator:1/4×25/25

Write as a single fraction :25/4×25

Calculate the product or quotient :25/100

Rewrite a fraction with denominator equals 100 to a percentage:25%

Answer : 25%

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The product of 5 and the cube of x, increase by the difference of 6 and x3
lawyer [7]

Answer:

4x^{3} +6

Step-by-step explanation:

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5*x^3\\\\=5x^3

  • the difference of 6 and x^3

6-x^3

I understand as increase as sum so

(5x^3)+(6-x^3)\\\\5x^3+6-x^3\\\\(5-1)x^3+6\\\\4x^3+6

5 0
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if the length of a rectangle is 6 times the width, and the perimeter is 210 cm, find the dimensions of the rectangle
Mandarinka [93]

Answer:im not sure but it’s 180Cm

Step-by-step explanation:worked it in my head

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