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2 years ago

If your car gets 28 miles per gallon, how much does it cost to drive 390 miles when gasoline costs $2.90 per gallon?

Mathematics

1 answer:

Valentin [98]2 years ago

8 0

Answer: x = $25.89

Step-by-step explanation:

This is a two step problem. First we need to determine the number of gallons the car uses to drive the 250 miles:

250/28 ≈ 8.93 gallons

Then we just multiply the number of gallons by the price:

8.93 x 2.90 = $25.90

Alternate solution: Use a proportion. Since 1 gallon costs $2.90 and produces 28 miles, we can set up the following proportion:

2.90/28 = x/250

Cross-multiply and solve:

28x = 725

x = $25.89 (There is a one cent difference due to a rounding error in the first solution. This solution avoids that error.)

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How can I solve this problem

jolli1 [7]

Answer:

x = 27

Step-by-step explanation:

I'm going to use letters to label the parts of the triangle while explaining how to solve for x:

Angle A = x (bottom left angle of the triangle)

Angle B = 4x (top angle of the triangle)

Angle C = empty angle (bottom right angle of the triangle)

Angle D = 3x + 54 (angle outside of the triangle)

A line has a angle measurement of 180 degrees.

Angle C & D make up the line, meaning Angle C + Angle D = 180 degrees.

To find Angle C, we would subtract Angle D's equation from 180 like this:

180 - (3x + 54)

Now Angle C equals 180 - (3x + 54)

Now we have all the angles inside the triangle. To find x, we are going to sum up Angle A, B, & C and set it equal to 180.

We set the equation to 180 because a the sum of the interior angles for a triangle is 180.

The equation looks like this:

(180 - (3x + 54)) + 4x + x = 180

Now we use basic algebra to solve it:

(180 - (3x + 54)) + 4x + x = 180

(distribute the - to (3x + 54))

180 - 3x - 54 + 4x + x = 180

(add like terms on the left side of the equation)

126 + 2x = 180

(subtract 126 from both sides)

2x = 54

(divide both sides by 2)

x = 27

To prove this answer is correct, plug it back in the original equation and you'll see that it ends up equaling 180, which is the sum of interior angles for triangle.

Hope it helps (●'◡'●)

6 0

3 years ago

Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. J

Mazyrski [523]

Solving the given inequality for d, we get...

6d + 15 < 50
6d + 15-15 < 50-15 <<-- subtract 15 from both sides
6d < 35
6d/6 < 35/6 <<--- divide both sides by 6
d < 5.83

Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}

The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all
The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days
Any larger value of d is not allowed as it would make the total cost go over $50
Notice how I'm rounding down regardless how close 5.83 is to 6

8 0

3 years ago

Read 2 more answers

Determine if the outside temperature is a function of the time of day or if the time of day is a function of temperature'.

Evgen [1.6K]

The temperature is a function of the time outside. The sun is the cause for the temperature. The temperature is not the cause of the sun.

8 0

3 years ago

Enter the range of values for x: B 15 2x - 10 С 48° A 18 [?] Enter

SOVA2 [1]

<h3>Answer: 5 < x < 29</h3>

=========================================

Explanation:

Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.

So 2x-10 < 48

At the same time, 2x-10 is also larger than 0.

Overall, we can say 0 < 2x-10 < 48

---------

Let's solve for x

0 < 2x-10 < 48

0+10 < 2x < 48+10 ...... add 10 to all sides

10 < 2x < 58

10/2 < x < 58/2 ..... divide all sides by 2

5 < x < 29

8 0

3 years ago

Point Lis a centroid of the triangle FWD, If RL = 54 cm, what is RD?

Wittaler [7]

Answer:

RD = 162 cm

Step-by-step explanation:

LD = 2 RL = 2* 54 = 108

RD = RL + LD

RD = 54 + 108

RD = 162 cm

7 0

3 years ago

If your car gets 28 miles per​ gallon, how much does it cost to drive 390 miles when gasoline costs ​$2.90 per​ gallon?

If your car gets 28 miles per gallon, how much does it cost to drive 390 miles when gasoline costs $2.90 per gallon?