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garik1379 [7]
3 years ago
12

Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car. Each hour that he drives, his car uses up

1.25 gallons of gas. Write an equation to represent the scenario. How much gas will Dominic have in 3 hours?
Mathematics
1 answer:
Nostrana [21]3 years ago
6 0

Answer:

(a) Equation: T_n = 11.25 - 1.25n

(b) 7.5 gallons

Step-by-step explanation:

Given

Current Gas = 10 gallon

Every Hour = -1.25 gallon

Solving for (a): An equation for the scenario

This question represents an Arithmetic Progression and will be solved using the following formula:

T_n = a + (n - 1)d

Where

a = 10

d = -1.25

Substitute these values in the formula

T_n = 10 + (n - 1) * -1.25

T_n = 10 -1.25n +1.25

Collect Like Terms

T_n = 10 + 1.25 - 1.25n

T_n = 11.25 - 1.25n

Solving for (b): In this case, n - 3

Substitute 3 for n in T_n = 11.25 - 1.25n

T_3 = 11.25 - 1.25 * 3

T_3 = 11.25 - 3.75

T_3 = 7.5

<em>7.5 gallon of gas left</em>

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Answer:

Correct option is

B

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Answer:

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3 years ago
Aflati un numar natural care impartit la 17 da catul 23 si restul 11.
Anit [1.1K]
I cannot understand what you are saying 
5 0
3 years ago
7x-11=5(x-2)+2x-1= ?​
yan [13]
0 = 0


Simplifying
7x + -11 = 5(x + -2) + 2x + -1

Reorder the terms:
-11 + 7x = 5(x + -2) + 2x + -1

Reorder the terms:
-11 + 7x = 5(-2 + x) + 2x + -1
-11 + 7x = (-2 * 5 + x * 5) + 2x + -1
-11 + 7x = (-10 + 5x) + 2x + -1

Reorder the terms:
-11 + 7x = -10 + -1 + 5x + 2x

Combine like terms: -10 + -1 = -11
-11 + 7x = -11 + 5x + 2x

Combine like terms: 5x + 2x = 7x
-11 + 7x = -11 + 7x

Add '11' to each side of the equation.
-11 + 11 + 7x = -11 + 11 + 7x

Combine like terms: -11 + 11 = 0
0 + 7x = -11 + 11 + 7x
7x = -11 + 11 + 7x

Combine like terms: -11 + 11 = 0
7x = 0 + 7x
7x = 7x

Add '-7x' to each side of the equation.
7x + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
0 = 7x + -7x

Combine like terms: 7x + -7x = 0
0 = 0

Solving
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3 years ago
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marta [7]

Answer:

The retail price is $103.6

Step-by-step explanation:

Markdowns are, to be simple, when the price goes DOWN, so the price would be less than the original rather than more. First, you must calculate what one percent of the original is, which is 1.40. As the markdown is 26 percent, you can do 1.40 x 26 to get how much was marked down, which is $36.40. To find the new price now, you must do the original minus the markdown, or 140 - 36.40 in this case. This gives you $103.6 as the retail price.

I hope this helped! :D

7 0
3 years ago
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