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VMariaS [17]
2 years ago
6

A fuel tank is 1/6 full. When 2 gallons of gasoline are added, the tank becomes 1/4 full. What is the total fuel capacity of the

tank in gallons?
Mathematics
1 answer:
forsale [732]2 years ago
3 0

Answer:

24 gallons

Step-by-step explanation:

Since the 2 gallons of gas increased the fill ratio from 1/6 to 1/4, we can find how much of the tank the 2 gallons filled by solving the equation 1/4 - 1/6 = 1/12. This means that each gallon of gas is 1/24th of the tank.

Thus, the tank has a fuel capacity of 24 gallons.

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One least common denominator can be 2
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A hotel offers two activity packages. One costs $192 and includes 3 h
poizon [28]

Let x = Horseback riding and y = Parasailing

Eq. 1

3x + 2y = 192

Eq. 2

2x + 3y = 213

By elimination:

<span>     2(3x + 2y = 192)</span>

+ -3(2x + 3y = 213)

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Substitute y :

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3x + 2(51) = 192

<span>x = $ 30
</span>


<span>Hope this answer will be a good help for you.</span>

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3 years ago
The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table,
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Answer:

<h3>B</h3>

Step-by-step explanation:

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3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Yakvenalex [24]

The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

<h3>What is Inequalities?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Here, Suppose number is x

1)  The square of the product of 5 and a number is not less than 46.

Step 1

Product of 5

5x

Step 2

Square of product of 5

(5x)²

Step 3

A number is not less than 46

(5x)² ≥ 46

2)  The sum of square of a number and five times that number is not more than 46

Step 1

Square of a number

x²

Step 2

Five times that number

5x

Step 3

The sum = x² + 5x

Step 4

Is not more than 46

x² + 5x ≤ 46

3)  The product of 5 and the square of a number is greater than 46

Step 1

The square of a number

x²

Step 2

The product of 5

5x²

Step 3

Is greater than 46

5x² > 46

Thus, The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Learn more about Inequality from:

brainly.com/question/20383699

#SPJ1

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2 years ago
Daniel reads dor 8 times as many as April. Daniel read 44 minutes this week. How many minutes does April read?
ELEN [110]
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