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3 years ago

What's the unit rate for 1 1/4 gallons per 44 1/2 miles

Mathematics

1 answer:

Vinvika [58]3 years ago

4 0

Answer:

5/178 gal/mi

35.6 mi/gal . . . . . take your pick

Step-by-step explanation:

As you have written the question, it is

(1.25 gal)/(44.5 mi) = (5/178) gal/mi ≈ 0.0280899 gal/mi

___

Usually, mileage is expressed in miles per gallon in the US. The unit rate in those units is ...

178/5 mi/gal = 35.6 mi/gal

_____

Comment on mileage unit rates

A "unit rate" is any rate that has 1 unit in the denominator. That is, the rate 5 gal/(178 mi) is not a unit rate, but (5/178) gal/mi is a units rate. They both use the same fraction, but the latter has 1 unit in the denominator and the fraction in the numerator: (5/178 gal)/mi.

Outside the US, mileage (energy use for transportation) is often expressed in terms of (amount of fuel)/(given distance). For example, the above mileage might be expressed as 1.745 gal/(100 km), or 6.607 L/(100 km). The "unit" in this scenario is 100 km.

In the US, the typical mileage specification is (distance)/(gallons). So, your question in terms of gallons per mile could mean that is the unit rate you're looking for (.028 gal/mi). Or it could mean we need to convert it to the typical US mileage specification. We cannot tell.

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yarga [219]

When you dilate by a scale factor greater than the image is an enlargement (a stretch).

What is dilation?

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• A dilation expands or contracts the original figure.

A description of a dilation includes the scale factor (or ratio) and the center of the dilation.

• The center of dilation is a fixed point in the plane.

• If the scale factor is greater than 1, the image is an enlargement (a stretch).

• If the scale factor is between 0 and 1, the image is a reduction (a shrink).

• If the scale factor is 1, the figure and the image are congruent.

hence, when you dilate by a scale factor greater than the image is an enlargement (a stretch).

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1 year ago

A store that buys and sells used video games buys a game at a cost of $9 and sells it at a selling price of $13. Find the mark

Bingel [31]

Markup = $4
b) markup as a percentage of cost is 33.3%
Step-by-step explanation:
Markup
markup = selling price - cost
= $13 - 9
... markup = $3
Markup as a Percentage of Cost
To find the percent markup, divide the markup by the reference value and multiply the ratio by 100%. The reference value for markup is usually cost price, but sometimes may be selling price.
... markup / cost × 100% = 3/9×100% = 33 1/3% ≈ 33.3%

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3 years ago

Read 2 more answers

Express 7 million in scientific notation

Novay_Z [31]

Answer:

Step-by-step explanation:

10^9 x 0.007

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3 years ago

0.001y^12, 0.008b^6, -8/27a^15 Written as a cube of a monomial.

Tomtit [17]

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