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MAVERICK [17]
2 years ago
13

Five days a week, you carpool with 3 co-workers and take turns driving each week. It is 14 miles from your home to your office.

When you drive the carpool you must go an extra 4 miles to pick up your co-workers. If your car averages 18 miles per gallon, about how many gallons of gas should you save every 4 weeks by carpooling?
Mathematics
2 answers:
Vladimir [108]2 years ago
7 0

you will save 10 gallons

Sphinxa [80]2 years ago
4 0

Answer:

You will save 21.11 gallons of gas every 4 weeks by carpooling.

Step-by-step explanation:

It is 14 miles from your home to your office. Means 28 miles total while returning.

And if there is no carpool, you will drive =28\times5\times4=560 miles

And amount of gas used will be = \frac{560}{18}=31.11 gallons

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

Now, when you are car pooling, you will save the cost for three weeks means you will take out your car for 1 week only.

But you have to go additional 8 miles (including dropping off the co worker)

So, the total journey for 1 day will be of 14+14+4+4=36 miles

Hence, for 1 week, you will drive : 36\times5\times1=180 miles.

Gallons of gas used = \frac{180}{18}=10 gallons

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

So, gallons of gas saved = 31.11-10=21.11 gallons

Hence, you will save 21.11 gallons of gas every 4 weeks by carpooling.

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When you select a random person, the probability that this person will go to Ches
insens350 [35]

Answer: a= 0.0231

Step-by-step explanation:

n=8

p=0.75

q=1 - 0.75 = 0.25

(p=x)

p(5) = 8C5 (0.25)^5 (0.75)^8-5

p(5)= 0.0231

Or 2.31%

6 0
2 years ago
A certain forest covers an area of 4000 km2. Suppose that each year this area decreases by 7%. What will the area be after 5 yea
Levart [38]
Answer:

2,600

Explanation:

Your first step is to find 7% of 4000 ( this is what it is decreasing by per year).
As a result you end up with 280.
Multiply 280 by 5.
1,400 should be your answer( amount of km decreasing after 5 years). This is a decreasing forest, so you subtract 4,000by 1,400.
8 0
2 years ago
Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and
nevsk [136]

Step-by-step explanation:

Points are (8,5) and (-12,-9)

The equation of a line passing through two points is given by :

y-y_1=m(x-x_1)\ \text{m is slope}\\\\y-5=\dfrac{y_2-y_1}{x_2-x_1}(x-8)\\\\y-5=\dfrac{-9-5}{-12-8}\times (x-8)\\\\y-5=\dfrac{7}{10}\times (x-8)\\\\10y-50=7x-56

or

-50+56=7x-10y\\\\7x-10y=6

But he writes the equation 7x – 10y = 3 which is not matching with the one we have calculated. It means that model calculated by Devon is not good.

7 0
2 years ago
What is the measure of Angle J K L? Triangle J K L . The exterior angle to angle K has a measure of 83 degrees. 83 degrees 97 de
nasty-shy [4]

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

Given:

A triangle JKL .

Measure of exterior angle K = 83 degrees

We have to find the measure of \angle JKL .

In (\triangle\ JKL) we see that the exterior angle is in linear pair with \angle JKL .

Note:

Linear pair angles sum is 180 degree.

Let \angle JKL be 'x' degrees .

So,

⇒ x+83=180

⇒ <em>Subtracting 83 from both sides.</em>

⇒ x+83-83=180-83

⇒ x=180-83

⇒ x=97 degrees

The measure of angle JKL in the triangle is of 97 degrees.

5 0
2 years ago
Read 2 more answers
Anthony borrows $6.50 from a friend to pay for a sandwich and drink at lunch. Then he borrows $3.75 from his sister to pay a lib
Katen [24]

Money borrowed by Anthony from his friend for a sandwich and drink at lunch = $6.50

Money borrowed by Anthony from his sister to pay a library fine = $3.75

Hence, the equation to express Anthony's total debt that day will be =

Let T be the total debt , so the equations becomes,

6.50 + 3.75 = T

8 0
2 years ago
Read 3 more answers
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