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4 years ago

The 20-inch-diameter wheels of one car travel at a rate of 24 revolutions per minute,

1 answer:

8 0

One revolution of a wheel is equal to it's circumference:

C = πd

C: circumference
d: diameter

<u>20" wheel</u>
d = 20"
C = (20π) in/rev
v = (24 rev/min)(20π in/rev) = 480π in/min

<u>30" wheel</u>
d = 24"
C = (30π) in/rev
v = (18 rev/min)(30π in/rev) = 540π in/min

$Ratio = \frac{velocity of 30" wheel}{velocity of 20" wheel} = \frac{v_{2}}{v_{1}}$

$\frac{v_{2}}{v_{1}} = \frac{540\pi}{480\pi} = \frac{9}{8}$

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A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and

Naya [18.7K]

<h2>The number of small buses used = 5</h2><h2>The number of big buses used = 4</h2>

Step-by-step explanation:

Let us assume the total number of small buses needed = x

The capacity of 1 small bus = 40

So, the capacity of x buses = 40(x) = 40 x

Let us assume the total number of big buses needed = y

The capacity of 1 big bus = 50

So, the capacity of y buses = 50(y) = 50 y

Also, the total students travelling = 400

So, the number of students traveling by (Small bus + Big bus) = 400

⇒ 40 x + 50 y = 400 ..... (1)

Also, the total number of drivers available = 9

⇒ x + y = 9 ..... (2)

Also, x ≤ 8, y ≤ 10

Now, solving both equations, we get:

40 x + 50 y = 400 ..... (1)

x + y = 9 ⇒ y = (9-x) put in (1)

40 x + 50 y = 400 ⇒ 40 x + 50 (9-x) = 400

or, 40 x + 450 - 50 x = 400

or, - 10 x =- 50

or, x = 5 ⇒ y = (9-x) = 9- 5 = 4

Hence the number of small buses used = 5

The number of big buses used = 4

8 0

4 years ago

HELP!!! Choose the best answer.

maxonik [38]

Answer:

x^3y^2+x^2y^3-x^2-y^2

Step-by-step explanation:

I will edit my answer if you need my explanation.

If this has helped you please mark as brainliest

4 0

3 years ago

Miranda found 4 pieces of an ancient ceramic bowl.

Fofino [41]

Answer:

There are many variables to determine if you have all the complete pieces some are the following:

1.- bowl size

2.- the way it broke

3.- the size of the pieces

4.- if the pieces can fit together

5.- if the bowl paint has the same figures

This is important to determine, since if they do not have these requirements, you can find different pieces of different bowls, which will make the pieces never coincide with each other.

7 0

3 years ago

Listed below are the ACT scores of 40 randomly selected students at a major university. (Use technology if you wish, Excel) 18 1

tiny-mole [99]

Answer:

A) See the picture

B) 14

C) 45%

Step-by-step explanation:

A) To create a histogram like the one on the picture you can use an online tool like socscistatistics where the number of classes is customizable

B) Because the question B and C have to be responded using a frequency table with 8 classes the answer is 14; the method of using cumulative frequency tables should only be considered as a way of estimation, that is because you obtain values that depend on your choice of class intervals. The way to get a better answer would be to use all the scores in the distribution

Pc1 = 100*(4/40) = 10

Pc2 = 100*(4/40) = 10

Pc3 = 100*(3/40) = 7.5

Pc4 = 100*(11/40) = 27.5

Pc5 = 100*(5/40) = 12.5

Pc6 = 100*(4/40) = 10

Pc7 = 100*(7/40) = 17.5

Pc8 = 100*(2/40) = 5

Pc8 + Pc7 + Pc6 + Pc5 + Pc4 + Pc3 + Pc2 = 90%

Therefore, From class 8 to class 2 is the top 90% of the applicants and the minimum score is 14.

C) Scores equal to or greater than 20 are from class 8 to class 5

Pc8 + Pc7 + Pc6 + Pc5 = 45%

5 0

3 years ago

16 divided by 6.08 .<br> 2 digit divisors

ratelena [41]

Lastly, 16<span> goes into 128 exactly 8 times, and the division is over. </span>2<span>. </span>Divide<span>. First write a multiplication table for the </span>divisor<span>. Check each answer by multiplying.</span>

5 0

3 years ago

Read 2 more answers