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jarptica [38.1K]
3 years ago
6

A car travels 218.5 miles on 9.5 gallons of gas what is the gas mileage

Mathematics
2 answers:
DochEvi [55]3 years ago
4 0

Answer:

23 miles per gallon

Step-by-step explanation:

Take the miles and divide by the gallons

218.5 miles/ 9.5 gallon

23 miles per gallon

Svet_ta [14]3 years ago
4 0

Answer:

23m/g

Step-by-step explanation:

If a car travels 218.5 miles on 9.5 gallons, you can find how many miles can be traveled on one gallon.

You can make the equation 9.5g=218.5, let g be gallons of gas.

Divide by 9.5 on both sides.

g= 23

The gas mileage is 23 miles for one gallon of gas.

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Clarice graphed the amount of money in her savings account during the past six months on the line graph.
Galina-37 [17]

Answer:

Month 4 and 5

Step-by-step explanation:

This graph shows a very big increase in the change of the amt of money from 50 to 90 which is a 40 difference

5 0
3 years ago
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The graph shows the total amounts in two accounts with the same principal and annual interest rate.
True [87]

Answer:

I would say About $175

Step-by-step explanation:

This is all based on the picture, the simple interest is $500 after 35 years, and the compound interest is almost at $700, so if it is not $200 yet, it has to be $175.

4 0
3 years ago
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Find the distance between P1(4,16degrees) and P2(-2,177degrees) on the polar plane.
bazaltina [42]
Polar coordinates give the distance from the origin and the angle from the positive x axis. Cartesian coordinates give the distance from the x and y axes.

You can draw a right triangle with these values. (see attached)
If you know the r value and theta of that triangle below, you can use trig to find x and y.

Let's convert (4, 16°) to Cartesian coordinates.

Note that since our angle is acute, (in Quadrant I) our sine and cosine will both be positive, as you should be able to derive from the unit circle, where cosine is represented as an x value and sine is represented as a y value.

cosine = adjacent / hypotenuse
cosθ = x/r
cos(16°) = x/4
4cos(16°) = x ≈ 3.84504678375

sine = oppsite / hypotenuse
sinθ = y/r
sin(16°) = y/4
4sin(16°) = y ≈ 1.10254942327<span>

So (4, 16°) </span>⇒ (3.84504678375, 1.10254942327).

Let's convert (-2, 177°)  to Cartesian coordinates.
Whenever you have a negative radius, that means to put the point opposite where it would have been if it had a positive radius. (see attached)

In that case, we can essentially add 180° to our current 177° to the same effect. That means that (-2, 177°) = (2, 357°).

Note that since our angle is in Quadrant IV, our cosine will be positive, but our sine will be negative. (as derived from the unit circle) We don't have to worry about this since our calculator figures this for us, but you should pay attention to it if you are converting from Cartesian to polar.

cosine = adjacent / hypotenuse
cosθ = x/r
cos(357°) = x/2
2cos(357°) = x ≈ 1.99725906951

sine = opposite / hypotenuse
sinθ = y/r
sin(357°) = y/2
2sin(357°) = y ≈ -0.10467191248

So (-2, 177°) ⇒ (1.99725906951, -0.10467191248).

Now we must use the distance formula with our two points.
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
d\approx\sqrt{(1.99725906951-3.84504678375)^2+(-0.10467191248-1.10254942327)^2}
d\approx\sqrt{-1.84778771^2+-1.20722134^2}
d\approx\sqrt{3.41431942+1.45738336}
d\approx\sqrt{4.87170278}
\boxed{d\approx2.20719342}

7 0
3 years ago
You noticed that $750 was stolen from your checking account using your debit card, but life being as busy as it is, you didn't r
Mekhanik [1.2K]

Answer:

The answer is: full liability for unauthorized debit charges

Explanation:

Once you discover that an amount of money was stolen from your debit card account, it is important to report it immediately to the card issuer. This will prevent "liability for unauthorized debit charges on your end." Each type of card that you avail has a set of rules when it comes to the <em>card owner's duties and liabilities. </em>

You have to tell your card issuer, either by<em> writing or by phone.</em> This should be done within 60 days from the time you encountered the issue. This will allow you to dispute any unauthorized charges. However, the sooner you report, the better it will be so you won't incur any liabilities.

So, in the case above, you didn't report the fraudulent activity until 75 days. This gives you a <u>"full liability for unauthorized debit charges."</u>

Thus, this explains the answer.

3 0
3 years ago
⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP PLEASEEEE I HAVE 7 MINUTES LEFT ⚠️⚠️⚠️⚠️⚠️
Kisachek [45]

Answer:

um....

1. 4

2. 3

3. 5

4. 8

Hope this helps.

Step-by-step explanation:

3 0
3 years ago
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