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3 years ago

13

A family of four used about 11,370 gallons of water in their home last month. There are 30 days in a month. ABOUT how many gallo

ns of water did each person use each day?
A.) 78
B.) 95
C.) 312
D.) 379
Whoever answers FIRST will get Brainliest!!!!! Pls Help!!!!!!

1 answer:

scZoUnD [109]3 years ago

3 0

D 379 is the answer.

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The gear is one of the oldest mechanical devices. It has been used since ancient times for its ability to increase or decrease r

eduard

The large gear attached to the pedals connected to the smaller gear

attached to the wheel allows the bicycle to travel further per rotation.

Correct responses:

Part A: Approximately 10.47 inches

Part B: 300°The d

Part C: Approximately 125.66 inches

Part D: The distance traveled increases by approximately 62.83 inches

<h3 /><h3>Methods used to calculate the above values</h3>

Given:

The radius of the large central gear, <em>r</em> = 4 inches

Radius of the small gear = 2 inches

Part A:

The distance travelled by the larger gear when the angle of rotation is 150° is given as follows;

$\displaystyle Distance \ travelled \ by \ larger \ gear = \mathbf{\frac{150^{\circ}}{360^{\circ}} \times 2 \times \pi \times 4 \, inches} = \frac{10}{3} \cdot \pi \ inches$

$\displaystyle Distance \ traveled \ by \ the \ outer \ edge = \frac{10}{3} \cdot \pi \ inches \approx \underline{ 10.47 \ inches}$

Part B:

When the small gear travels the same linear distance as the large gear in part A, we have;

$\displaystyle Degree \ of \ rotation = \frac{\frac{10}{3} \cdot \pi }{2 \times \pi \times 2 } \times 360^{\circ}= 300^{\circ}$

The degree of rotation of the small gear = <u>300°</u>

Part C:

The distance travelled, <em>C</em>, by a single rotation of the large gear is given as follows;

C = 2 × π × 4 inches = 8·π inches

The degree of rotation of the smaller gear following one rotation of the large gear is therefore;

$Degree \ of \ rotation = \displaystyle \frac{8\cdot \pi \ inches}{4 \cdot \pi \ inches } \times 360^{\circ} = \mathbf{ 720^{\circ}}$

720° = 2 × 360°

1 complete rotation is equivalent to 360°.

Therefore'

720° is equivalent to two complete rotation.

Therefore, the smaller gear and the wheel rotates twice for each rotation of the large gear

The distance the bicycle travels = 2 × The circumference of the wheel

Therefore;

Distance traveled by the bicycle = 2 × 2 × π × 10 inches = 40·π inches

Distance traveled by the bicycle = 40·π inches ≈ <u>125.66 inches</u>

Part D:

If the radius of the small gear is 1.5 inches and the radius of the large gear is 4.5 inches, we have;

Number of rotation of the small gear for each rotation of the large gear = 3 rotations

Therefore, number of rotation of the wheel = 3

Distance the bicycle travels = 3 × 2 × π × 10 inches = 60·π inches

The difference in distance traveled = 60·π inches - 40·π inches = 20·π inches

The distance traveled by the bicycle increases by 20·π inches ≈ <u>62.83 inches</u>

Learn more about gear transmission here:

brainly.com/question/14646065

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2 years ago

Please help me with dividing by monomials

Verizon [17]

Answer:

<h2>No. D ) ( h^2 - 4h + 2 ) / h is correct</h2>

Step-by-step explanation:

( 8h^5 - 32h^4 + 16h^3 ) / 8h^4

= ( 8h^3( h^2 - 4h + 2 ) / 8h^4

= ( h^2 - 4h + 2 ) / h

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3 years ago

The table shows the number of cups of water required when cooking different amounts of rice. Amount of Rice (cups) Amount of Wat

Ugo [173]

<span>Amount of Rice (cups) Amount of Water (cups)
2                                     5
3                                     7.5
5                                   12.5
8                                   20

Let's find the ratio of rice and water:

5 / 2 = 2.5 => 2 * 5 = 5

7.5 / 3 = 2.5 => 3 * 2.5 = 7

12.5 / 5 = 2.5 => 5 * 2.5 = 12.5

20 / 8 = 2.5 => 8 * 2.5 = 20

So, as the ratio of water ot rice is constant, and the first variable is the amount of rice, you can calculate the amount of water given the amount of rice.

So, the amount of rice is independent value and the amount of water is dependent (it depends on the amount of rice).

The amount of rice is the dependent value. FALSE
The amount of water is the dependent value.TRUE
The amount of rice is the independent value. TRUE
The amount of water is the independent value.</span>FALSE

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3 years ago

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10 binder; 60% off; 6% tax

laila [671]

Answer:

I'm going to assume that the binder is $10, and that the tax is applied after the 60% off, in which case the answer is $4.24

Step-by-step explanation:

10 * 10 = 100

6 * 10 = 60

10 - 6 = 4

6 / 25 = 0.24

4 + 0.24 = 4.24

Answer: $4.24

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2 years ago

A. -10+(+10)<br> b.-13+(-13)<br> c. -11 + 0

DochEvi [55]

A is 0
B is-26
C is -11

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3 years ago

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