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Sav [38]
3 years ago
15

The price of gasoline purchased varies directly with the number of gallons of gas purchased. If 19 gallons are purchased for $22

.50, what is the price of purchasing 14 gallons? Let x represent the number of gallons purchased, and let y represent the total price. Round your answer to the nearest hundredth.
Mathematics
1 answer:
Sergio039 [100]3 years ago
4 0

Answer:

\text{16.57 dollars}

Step-by-step explanation:

A proportion is needed to find the value of x

$\frac{22.50}{19} =\frac{x}{14}\Longrightarrow 19x = 315 \Longrightarrow x = 16.57$ \\ \\ \text{It would cost 16.57 dollars to purchase 14 gallons.}

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The Oregon trail is 2.197 miles long. How long would it take a covered wagon travelling 20 miles a day to complete the trip? Wri
Bess [88]

Answer: It needs 2.4 hours to complete the trip.

Step-by-step explanation:

Since we have given that

Length of Oregon trail = 2.197 miles

Speed at which it travel = 20 miles per day

we need to find the time taken by it ,

As we know that

Time=\frac{Distance}{Speed}

Time=\frac{2.197}{20}\\\\Time=0.10\text{ days}

So,

it will be changed into hours

1\text{ day}=24\text{ hours}\\\\0.1\text{ day}=24\times 0.1=2.4\text{ hours}

so, it needs 2.4 hours to complete the trip.


3 0
3 years ago
Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $43.5
Inga [223]

Using the Empirical Rule, it is found that:

  • a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
  • b) Approximately 95% of the amounts are between $38.03 and $49.11.
  • c) Approximately 68% of the amounts fall between $40.73 and $46.27.

------------

The Empirical Rule states that, in a <em>bell-shaped </em>distribution:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

-----------

Item a:

43.5 - 3(2.77) = 35.26

43.5 + 3(2.77) = 51.88

Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.

-----------

Item b:

43.5 - 2(2.77) = 38.03

43.5 + 2(2.77) = 49.11

Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.

-----------

Item c:

  • 68% is within 1 standard deviation of the mean, so:

43.5 - 2.77 = 40.73

43.5 + 2.77 = 46.27

Approximately 68% of the amounts fall between $40.73 and $46.27.

A similar problem is given at brainly.com/question/15967965

8 0
3 years ago
Read 2 more answers
Please help I am horrible at math! Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 mi
vesna_86 [32]

Answer:

<em>y=-0.2x+5. Correct choice: A)</em>

Step-by-step explanation:

<u>Modeling With Equations</u>

Let's call x the number of minutes and y the distance from home. The correct model should meet both conditions:

After 5 minutes, Ye is 4 miles from home. This is the ordered pair (5,4)

After 15 minutes, Ye is 2 miles from home. This is the ordered pair (15,2)

A) y=-0.2x+5. Testing the first point (5,4): y=-0.2*5+5=4. Correct

Testing the second point (15,2): y=-0.2*15+5=2. Correct

This is the correct choice.

B) y=11/7x-27/7. Testing the first point: (5,4) y=11/7*5-27/7=4. Correct

Testing the second point (15,2). y=11/7*15-27/7=138/7. Incorrect

Incorrect choice.

C) This equation is equal to the choice B), thus this one is incorrect.

D) y=5x-0.2. The first point (5,4) yields to:

4=5*5-0.2=24.8 Incorrect.

6 0
3 years ago
Read 2 more answers
How do i graph 2x + 3y = 9
Ivahew [28]

Answer:

yyou should use a grapher online it does all the work

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Answer?<br>4a/5(10a-25b)
Westkost [7]

Answer:

I believe when you simplify the expression you will get 8a^2 - 20ab. I believe this is the answer. If anything better comes up then please take it because im not sure. Hope I helped!


8 0
3 years ago
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