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vagabundo [1.1K]
3 years ago
12

Susan and her family took a trip during their vacation. They travelled a total of 3982 miles. They averaged 24 miles per gallon

of gasoline. How much did the gasoline cost is the price per gallon was $2.48?
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
7 0

Answer:

The gasoline cost $411.47.

Step-by-step explanation:

This problem can be solved using rules of three.

The first step is finding how many gallons were used.

They travelled a total of 3982 miles. They averaged 24 miles per gallon of gasoline.

So

1 gallon = 24 miles

x gallons - 3982 miles

24x = 3982

x = \frac{3982}{24}

x = 195.9

195.9 gallons were used.

How much did the gasoline cost is the price per gallon was $2.48?

Each gallon costs $2.48. 195.9 gallons were used. So

$2.48*195.9 = $411.47

The gasoline cost $411.47.

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This table shows a proportional relationship between the number of cups of sugar and flour used for a recipe.
inna [77]

To find the answer for one cup of flour, divide the cups of sugar by the cups of flour. Here’s how it works.

Since we want the proportion for 1 cup of flour, we divide it by itself to get 1.

Thus, we need to have equal sides, so we divide the number of cups of sugar by the amount the cups of flour divided by.

So: 2.5/7.5=1/3

1 cup of flour is proportional to 1/3 cups of sugar.

Hope this helps!

3 0
3 years ago
Find the sum of the coefficients in the expansion of (x+1)^12
MariettaO [177]

Answer:

<h2>2¹²</h2>

Step-by-step explanation:

The sum of the coefficients in the expansion of (x+1)^12:

= 12C0 + 12C1 + 12C2 + . . . + 12C11 + 12C12

the formula says that this sum equal to 2¹².

Other examples

The sum of the coefficients in the expansion of (x+1)^3:

3C0+3C1+3C2+3C3

=8 = 2³

The sum of the coefficients in the expansion of (x+1)^4:

4C0+4C1+4C2+4C3+4C4

=16 = 2⁴

:)

4 0
4 years ago
Please help. I’ll mark you as brainliest if correct!
GenaCL600 [577]

Answer:

(DNE,DNE)

Step-by-step explanation:

-24x-12y = -16. Equation one

6x +3y = 4. Equation two

Multiplying equation two with +4 gives

4(6x +3y = 4)

24x +12y = 16...result of equation two

-24x -12y= -16...

A careful observation to the following equation will help us notice that the both equation are same thing.

Multiplying minus to equation one gives

-(-24x-12y=-16)

24x+12y = 16.

Since the both equation are same, there is no solution to it.

5 0
3 years ago
The assembly time for a product is uniformly distributed between 6 to 10 minutes. the expected assembly time (in minutes) is
Marta_Voda [28]
The expected assembly time is the middle of the range of the uniform distribution, 8 minutes.
7 0
4 years ago
Which of the following equations was used to graph the line shown?
Sunny_sXe [5.5K]

Answer:

a

Step-by-step explanation:

its obvious

5 0
3 years ago
Read 2 more answers
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