Mathematics, 01.02.2021 20:40 rachis

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit. A. Find the circumference of the tire.
B. About how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)

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Answer from: nicolemaefahey

A. The circumference of the tire is approximately 7.854 feet.

B. The tire rotates about 672 times to travel 1 mile.

Step-by-step explanation:

A. The circunference (), measured in feet, in terms of diameters is defined by the following formula:

$s = \pi \cdot D$ (1)

Where is the diameter of the tire, measured in feet.

If we know that $D = 2.5\,ft$ , then the circunference of the tire is:

$s = \pi\cdot (2.5\,ft)$

$s \approx 7.854\,ft$

The circumference of the tire is approximately 7.854 feet.

B. The value found in A. represents the distance travelled by the tire per revolution. Then, the number of revolutions (), no unit, associated to the distance travelled is calculated by this expression:

$n = \frac{s}{\pi\cdot D}$ (2)

If we know that $s = 5280\,ft$ and $D = 2.5\,ft$ , then the number of revolutions done by the tire to travel 1 mile is:

$n = \frac{5280\,ft}{\pi\cdot (2.5\,ft)}$

$n \approx 672.270$

The tire rotates about 672 times to travel 1 mile.

Answer from: Quest

You would need a laid out graph for this but could you provide a picture of just a graph? i can give stepssolve for y.subtract 4xdivide by -1 (opposites)graph slope intercept formcheck each point to see if it’s on the graph

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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