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tiny-mole [99]
3 years ago
12

The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. Explain how to find the

number of yards the car can travel on gallon of gas
Mathematics
1 answer:
bogdanovich [222]3 years ago
7 0

Answer:

Step-by-step explanation:

The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. To find the number of yards the car can travel on gallon of gas, we would convert 24.5 miles.

1 mile = 1760 yards

24.5 miles = 24.5 × 1760

= 43120 yards

Therefore, the car drives 43120 yards on 1 gallon of gas.

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What is the product? x^2-16/2x+8 multiplied by x^3-2x^2+x/x^2+3x-4
Contact [7]

Answer:

(x (x - 4) (x - 1))/(2 (x + 4))

Step-by-step explanation:

Simplify the following:

((x^2 - 16) (x^3 - 2 x^2 + x))/((2 x + 8) (x^2 + 3 x - 4))

The factors of -4 that sum to 3 are 4 and -1. So, x^2 + 3 x - 4 = (x + 4) (x - 1):

((x^2 - 16) (x^3 - 2 x^2 + x))/((x + 4) (x - 1) (2 x + 8))

Factor 2 out of 2 x + 8:

((x^2 - 16) (x^3 - 2 x^2 + x))/(2 (x + 4) (x + 4) (x - 1))

x^2 - 16 = x^2 - 4^2:

((x^2 - 4^2) (x^3 - 2 x^2 + x))/(2 (x + 4) (x + 4) (x - 1))

Factor the difference of two squares. x^2 - 4^2 = (x - 4) (x + 4):

((x - 4) (x + 4) (x^3 - 2 x^2 + x))/(2 (x + 4) (x + 4) (x - 1))

Factor x out of x^3 - 2 x^2 + x:

(x (x^2 - 2 x + 1) (x - 4) (x + 4))/(2 (x + 4) (x + 4) (x - 1))

The factors of 1 that sum to -2 are -1 and -1. So, x^2 - 2 x + 1 = (x - 1) (x - 1):

(x (x - 1) (x - 1) (x - 4) (x + 4))/(2 (x + 4) (x + 4) (x - 1))

(x - 1) (x - 1) = (x - 1)^2:

(x (x - 1)^2 (x - 4) (x + 4))/(2 (x + 4) (x + 4) (x - 1))

((x - 4) (x + 4) x (x - 1)^2)/(2 (x + 4) (x + 4) (x - 1)) = (x + 4)/(x + 4)×((x - 4) x (x - 1)^2)/(2 (x + 4) (x - 1)) = ((x - 4) x (x - 1)^2)/(2 (x + 4) (x - 1)):

(x (x - 4) (x - 1)^2)/(2 (x + 4) (x - 1))

Cancel terms. ((x - 4) x (x - 1)^2)/(2 (x + 4) (x - 1)) = ((x - 4) x (x - 1)^(2 - 1))/(2 (x + 4)):

(x (x - 4) (x - 1)^(2 - 1))/(2 (x + 4))

2 - 1 = 1:

Answer: (x (x - 4) (x - 1))/(2 (x + 4))

5 0
3 years ago
Read 2 more answers
Please help explanation if possible
spayn [35]

Answer:  2 goes in the box

The solid boundary line equation is y = 2. The shaded region consists of this line and everything below it, which is describing y \le 2. So y can be 2 or it can be smaller than 2.

8 0
3 years ago
Today, the mailman sorted 57 letters during his first hour of work, 69 letters during his second hour, 81 letters during his thi
mars1129 [50]
The answer is 93 

If we sorted out the number of each hours, the sequence will look like this

57 _    69  _  81  _ x  _ 105   

(in which x is the fourth hour of work)


We can see from the sequence that each hours, the mailman add additional 12 letters.
(69 - 57 = 12)
(81 - 69 = 12)   . . . . proof


So, the amount of letters on the fourth hour would be:
81 letters  + 12 letters = 93 Letters
5 0
3 years ago
HELP ASAP PLSS BUT only answer if you know it's correct
kvasek [131]
= it is equal to because the absolute value of |-5| is 5
6 0
2 years ago
Read 2 more answers
Simplify the expression by using a double-angle formula. −2cos2π91
Hatshy [7]
The Answer of <span>−2cos2π91 =</span> is -2 
7 0
3 years ago
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