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lana [24]
1 year ago
13

You have five gears meshed to each other running in a line. the first gear z=100, second gear z=50, third gear z=200, fourth gea

r z=150 and fifth gear z=200. the first gear turns clockwise at 100 revolutions per minute. what direction will gear number 5 run and at what speed?
Mathematics
1 answer:
Julli [10]1 year ago
6 0

Answer:

50 rpm clockwise

Step-by-step explanation:

100/50 × 50/200 × 200/150 × 150/200 = 0.5

In an odd number of gears, the first and last rotate inthe same direction.

100 rpm × 0.5 = 50 rpm

Answer: 50 rpm clockwise

You might be interested in
I need help plz someone help me
inna [77]
Find the decimal equivalent of each and then put in order.

Steve 130 5/6= 130.83333
Riley 130 2/3= 130.66666
Nikolas 130.5
Carrie 130 7/12= 130.58333
Jorja 130.25

Now that they each have a decimal equivalent, we can put them in order from greatest to least.

Steve 130 5/6= 130.83333
Riley 130 2/3= 130.66666
Carrie 130 7/12= 130.58333
Nikolas 130.5
Jorja 130.25

ANSWER: A) Steve, Riley, Carrie, Nikolas, Jorja

Hope this helps! :)
8 0
3 years ago
A small town's phone numbers either begin 373 or 377. How many phone numbers are available?
ser-zykov [4K]

Answer:

  • <u><em>There are 20,000 number available.</em></u>

Explanation:

To determine <em>how many phone numbers are available </em>you need to know how many digits the number contains.

I will assume the same number of digits for other similar questions, i.e. 7.

With 7 digits, the numbers that begin with 373 or 377 can be of the form 373XXXX or 377XXXX.

Where each X can be any digit 0 - 9. Then, there are 10 different options for each X.

Thus, there are 10×10×10×10 = 10,000 different numbers starting with 373 and other 10,000 different numbers starting with 377.

In total, there are 20,000 numbers available.

6 0
3 years ago
Need help please and ​ match it
marshall27 [118]

Answer:

1. C

2. B

3. A

Step-by-step explanation:

You reform the inequality as y, kind of like y= equations. For example x+y ≥ 2 means y ≥ 2 - x.

Anywhere it intersects for both lines it would be shaded red.

4 0
3 years ago
The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A
Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

V = a \times b \times c \: \rm unit^3

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and  c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

15 \times 3 \times b \times 3 \times c = 135 \times  b\times c = 135 \times 12 = 1620 \: \rm cm^3

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0
2 years ago
2/3x+5=1 what is the solution to the equation shown?
Fudgin [204]

Answer:

x = - 6

Step-by-step explanation:

Given

\frac{2}{3} x + 5 = 1 ( subtract 5 from both sides )

\frac{2}{3} x = - 4

Multiply both sides by 3 to clear the fraction

2x = - 12 ( divide both sides by 2 )

x = - 6

7 0
3 years ago
Read 2 more answers
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