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vichka [17]
3 years ago
14

The distance from New York City to Los Angeles is 4090 kilometers. a. [3 pts]What is the distance in miles? (You must use unit f

ractions. Round to the nearest mile and be sure to include units.) b. [3 pts]If your car averages 31 miles per gallon, how many gallons of gas can you expect to use driving from New York to Los Angeles? (You must use unit fractions. Round to one decimal place and be sure to include units.)
Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer: a)  2556.25 miles

b) 82.5 gallons

Step-by-step explanation:

Given : The distance from New York City to Los Angeles is 4090 kilometers.

=4090\times\dfrac{5}{8}=2556.25\text{ miles} [∵ 1 km= \dfrac{5}{8} miles]

Hence, the distance in miles= 2556.25

If your car averages 31 miles per gallon, then the number of gallons of gas required to use driving from New York to Los Angeles =\dfrac{\text{Distance}}{31}

=\dfrac{2556.25}{31}=82.4596774194\approx82.5\text{gallons}

Hence, the required number of gallons = 82.5 gallons

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Jaleesa bought a movie online. She paid $19.00 plus tax. The sales tax was 9%. How much did she pay in sales tax?
boyakko [2]

Answer: she paid $1.71 in sales tax.  

Step-by-step explanation:

Find 9 percent of 19 to find the sale tax.

9% of 19 =

0.09 * 19 =  1.71  

This means she paid $1.71 in sales tax.

7 0
3 years ago
Help it’s slope idk how to do it
Over [174]

a. \boxed{y-602=\frac{2}{3}(x-3)}

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

<h3>PART A.</h3>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line

Finding (m):

Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\  P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}

Finally, the equation of the line is:

(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}

<h3>PART B.</h3>

In this case, we have that:

  • The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
  • The y-axis represents the <em>Height  of the Tree </em>in inches.

Since the slope o a line is:

Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

<h3>PART C.</h3>

The y-intercept can be found setting x=0. So, from our equation:

y-602=\frac{2}{3}(x-3)} \\ \\ \\ If \ x=0: \\ \\ y-602=\frac{2}{3}(0-3) \\ \\ y-602=-2 \\ \\ Solving \ for \ y: \\ \\ y=602-2 \\ \\ y=600

So the y-intercept is y=600 and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>

<h2>Learn more:</h2>

Slope Intercept form: brainly.com/question/4192440

#LearnWithBrainly

4 0
3 years ago
Write the explicit<br> rule for the nth term.<br> Then find a71.<br> {O, -8, -16, -24 ...}
yulyashka [42]

Answer:

Step-by-step explanation:

{0, -8, -16, -24,...} here you add -8 each time so the rule is

a_{1} = 0, a_{n} = a_{n-1} -8

the 71 term is

a_{71} = 0 + (71 - 1) * (-8) = 70 * (-8) = -560

3 0
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kolezko [41]

Answer:

5,376 m³

Step-by-step explanation:

cube - 16x16x16=4096

pyramid = 16x16x15/3=1280

4096+1280=5376

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g100num [7]

Answer:

Answer: C all real numbers

8 0
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