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mariarad [96]
2 years ago
9

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair on the graph of the line relating number

of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
Mathematics
2 answers:
Nikolay [14]2 years ago
5 0
<span>number of gallons of gas, x
</span><span>total cost of the gas, y
</span>
3.75x <= 12
       x <= 3.2

<span>The greatest amount of gas Berto can buy is 3.2 gallons</span>
Brrunno [24]2 years ago
4 0

Answer:

(3.2, 12)

Step-by-step explanation:

Total cost for gas = $12

Cost per gallon = $3.75

Letting total cost of gas be y and number of gallons be x, maximum number of gallons of gas he can buy would be ;

Total cost of gas/ cost per gallon = 12 / 3.75 = 3.2 gallons

Therefore , the coordinate pair (x, y) = (3.2, 12)

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If a ramp is 17 feet long rises 8 feet above the floor and covers a horizontal distance of 15 feet what is the ratio of _____ to
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In the given question, it is given that  ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.

And we have to find the value of tan B.

And tangent of any angle is equal to the ratio of vertical by horizontal. That is:

tanB=8/15

And that's the required missing ratio for tan B.

6 0
2 years ago
You are checking the intermediate results of a phone app that calculates the weight of an object in kilograms given the weight i
Illusion [34]

The wrong step is step 4, because you only need one conversion.

The formula to convers pounds to kilograms is

\text{weight in pounds} = 2.2 \times \text{weight in kilograms}

Obviously, the inverse formula is

\text{weight in kilograms} = \cfrac{\text{weight in pounds}}{2.2}

So, you're given an input of 142 pounds. To convert it in kilograms, plug that value into out formula:

\text{weight in kilograms} = \cfrac{142}{2.2} \approx 64.5

and this is the answer you're looking for, so you need no more steps.

4 0
2 years ago
The quotient of the sum of 2t and 2, twice the cube of s
natali 33 [55]

Answer: \frac{2t+2}{2s^3}

Step-by-step explanation:

Since you did not indicate what you need to do, I assume that you have to write an expression using the sentence given in the problem.

In order to solve this exercise, it is importat to remember the following information:

1. The quotient is the result of a division.

2. The sum is the result of an addition.

3. The word "twice" indicates a multiplicatio by 2.

4. The word "cube" indicates an exponent 3.

Then, keeping on mind the explained above and the data given in the exercise, you know that:

-The sum of 2t and 2 can be expressed as:

2t+2

- Twice the cube of s can be expressed in the following form:

2s^3

Therefore, you can dermine that "the quotient of the sum of  2t and 2 and twice the cube of s" is represented with the following expression:

\frac{2t+2}{2s^3}

O

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2 years ago
Kiyo bought a pizza for $12.75 and four medium drinks at Pauli's pizza. Define a variable and write an expression to represent t
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3$ THE DRINKS ARE 3$ 
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Value of expression 6 3/4(-11.5)
Olenka [21]

Answer:

6 * 3/4 = 9 2 = 412 = 4.5

Step-by-ste

6 * 3/4 = 6/1  3*4 = 18/4 = 9/2

2 · 2 = 9/2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 4) = 2. In the next intermediate step cancelling by a common factor of 2 gives 9

2

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In words - six multiplied by three quarters = nine halfs.

0 0
2 years ago
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