Jenna has 8 pairs of jeans. Three of them are blue. What percentage of her jeans is blue?

Which statement shows how two polynomials 4x+6 and 2x^2-8x demonstrate the closure property when multiplied?

N76 [4]

IT is a polynomial and the correct polynomial is in A

5 0

3 years ago

There are three times as many cats in the animal shelter as puppies. There are twelve times as many fish as there are puppies. I

damaskus [11]

Answer:

12 fish and puppies

Step-by-step explanation:

There is 1 fish for every 3 puppies. So that is 4 animals in 1 "set".

We have $\frac{12}{3}$ "sets", which means 4 sets.

4 fish per "set" and 3 "sets" means there are

4 × 3 or 12 fish and puppies.

5 0

3 years ago

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:

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brainly.com/question/3926797

8 0

2 years ago

!!!TIME LIMIT PLZ HURRY!!!Which describes the relationship between <1 and <2?

elena-14-01-66 [18.8K]

Answer:

adjacent

Step-by-step explanation:

this just means they are next to each other, like they share a ray

8 0

3 years ago

Read 2 more answers

Which shape has opposite parralel sides and all sides the same length,but no right angles?

trapecia [35]

Answer:

rhombus

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers