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loris [4]
3 years ago
11

A car traveling at a certain speed will travel 76 feet per second. How many miles will the car travel in 3.1 hours if it maintai

ns the same speed? Round to the nearest tenth.
Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0
Keeping in mind that, there are 5280 feet in 1 mile, and 60 minutes in an hour and 60 seconds in each minute, thus 60*60 seconds in an hour, or 3600 seconds.

\bf \cfrac{76~\underline{feet}}{\underline{sec}}\cdot \cfrac{mile}{5280~\underline{feet}}\cdot \cfrac{3600~\underline{sec}}{hr}\implies \cfrac{76\cdot 3600~mile}{5280~hr}
\\\\\\
\cfrac{570~mile}{11~hr}\approx 51.\overline{81}\frac{mile}{hr}\\\\
-------------------------------\\\\
\textit{how many miles does it do in 3.1hrs?}\quad \cfrac{570}{11}\cdot 3.1
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A cake recipe calls for 550 grams of flour. About how many pounds of flour do you​ need? Use the conversion factors StartFractio
geniusboy [140]

The question is:

A cake recipe calls for 550 grams of flour. About how many pounds of flour do you​ need? Use the conversion factors (1 ounce)/(28.4 grams) and (1 pound)/(16 ounces).

Answer:

About 1.2 pounds of flour is needed.

Step-by-step explanation:

Given that the cake recipe calls for 550 grams, we want to determine about how many pounds of flour we need.

This simply means we want to convert 550 grams to pounds.

First, we were given (1 ounce)/(28.4 grams)

This implies that

1/28.4 = x/550 ..............................(1)

Where x is 550 grams in ounce.

Solving (1)

28.4x = 550

=> x = 550/28.4

≈ 19.3662

That is 550 grams is equal to 19.3662 ounce

Next, we are given the ratio (1 pound)/(16 ounce). We then convert 19.3662 ounce to pound

Let y be 19.3662 ounce in pound

=> 1/16 = y/19.3662

16y = 19.3662

y = 19.3662/16

≈ 1.2

That is 19.3662 ounce is equal to 1.2 pounds.

Therefore, 550 grams is equal to 1.2 pounds, and it is the amount of flour needed.

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