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Brilliant_brown [7]
3 years ago
15

Mel can drive 384 miles on 24 gallons of gas. Michael can drive 490 miles on 35 gallons of gas. Sheldon can drive 420 miles on 1

4 gallons of gas, and Kristina can drive 272 miles on 16 gallons of gas. Whose car has the best gas mileage?
Mathematics
1 answer:
Artemon [7]3 years ago
5 0

Answer:

kristina

Step-by-step explanation:

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30 POINTS! Please answer and show work for both!
monitta

The recommended approach for such equations is to eliminate fractions first, by multiplying by the LCM of the denominators. You can simply simplify, then work them as a 2-step linear equation, doing your arithmetic with the fractions as they are.

a) (5x-1)/7 + (4x-3)/2 -(3-2x)/2 = 6 . . . . . given

... 2(5x -1) +7(4x -3) -7(3 -2x) = 84 . . . . . multiply by 14

... 10x -2 +28x -21 -21 +14x = 84 . . . . . . eliminate parentheses

... 52x -44 = 84 . . . . . . . . . . . . . . . . . . . . collect terms

... 52x = 128 . . . . . . . . . . . . . . . . . . . . . . . add 44

... x = 32/13 . . . . . . . . . . . . . . . . . . . . . . . . divide by 52 and simplify

b) (4x−3)/2 − (5−2x)/3 − (3x−4)/3 = 5 . . . given

... 2x -3/2 -5/3 +(2/3)x -x +4/3 = 5 . . . . . . .eliminate parentheses

... (5/3)x -11/6 = 5 . . . . . . . . . . . . . . . . . . . . simplify

... (5/3)x = 41/6 . . . . . . . . . . . . . . . . . . . . . . add 11/6

... x = (41/6)/(5/3) = 41/10 . . . . . . . . . . . . . .divide by the coefficient of x

_____

Using the first method, you're dealing with integers and you can do a lot of the math in your head. Using the second method, you're dealing with fractions and mixed numbers. A calculator can be helpful, especially if it handles arithmetic with fractions nicely, as many graphing calculators do.

6 0
3 years ago
Which equation and solution represents each situation? Solutions may be rounded to the nearest tenth. What number is 74% of 58?
Zolol [24]

Given:

A number is 74% of 58.

To find:

The number.

Solution:

Let the unknown number be n.

The number n is 74% of 58.

n=\dfrac{74}{100}{58}

n=0.74\times 58

n=42.92

The required equation is n=0.74\times 58 and the solution (unknown number) is n=42.92.

Therefore, the correct option is B.

8 0
3 years ago
Can anyone help out with these two questions?
nikitadnepr [17]
To find f(3), plug x = 3 in f(x),
∴ f(3) = 3(3)+1 = 9+1 = 10
Therefore, the ordered pair is (3,10)

For second one,
plug x = 10 in f⁻¹(x), 

f⁻¹(10) = 10-1/3 = 9/3 = 3

Therefore, the ordered pair is (10,3)
5 0
2 years ago
Which expression is equivalent -21.8-(-18.3)
navik [9.2K]
<span> -21.8-(-18.3) (2 negative signs become positive)
=</span><span> -21.8 + 18.3
= - 3.5

Answer
- 3.5</span>
3 0
3 years ago
Read 2 more answers
PLEASE HELP...PLEASEEEEEEEEEEE
Nata [24]

Answer:

This is not a good model because the residual plot becomes thicker at the end

6 0
2 years ago
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