Mathematics, 11.10.2019 02:00 wdgyvwyv8840

The distance from new york city to los angeles is 4090 kilometers. a. [3 pts]what is the distance in miles? (you must use unit fractions. round to the nearest mile and be sure to include units.) b. [3 pts]if your car averages 31 miles per gallon, how many gallons of gas can you expect to use driving from new york to los angeles? (you must use unit fractions. round to one decimal place and be sure to include units.)

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Answer from: tinasidell1972

a) 2556.25 miles

b) 82.5 gallons

Step-by-step explanation:

Given : The distance from New York City to Los Angeles is 4090 kilometers.

$=4090\times\dfrac{5}{8}=2556.25\text{ miles}$ [∵ 1 km= $\dfrac{5}{8}$ miles]

Hence, the distance in miles= 2556.25

If your car averages 31 miles per gallon, then the number of gallons of gas required to use driving from New York to Los Angeles = $\dfrac{\text{Distance}}{31}$

$=\dfrac{2556.25}{31}=82.4596774194\approx82.5\text{gallons}$

Hence, the required number of gallons = 82.5 gallons

Answer from: Quest

pentagon

step-by-step explanation:

the coordinates a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

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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The distance from new york city to los angeles is 4090 kilometers. a. [3 pts]what is the distance in...