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3 years ago

13

Mary Beth would like to buy a more fuel-efficient vehicle instead of driving her mom's gas-guzzler. Assuming she can find a car

that gets 32 miles per gallon (mpg) and her mom's car gets only 16 mpg, how much will she save if she usually drives about 3,000 miles a year and average price of gas is $3.75 a gallon?

1 answer:

ozzi3 years ago

8 0

Answer:

2x as much

Step-by-step explanation:

First write as an equation:

<u>3000/32*3.75 =</u>

3000/16*3.75

Then that equals:

0.5

So that means her mom's car would be half as efficent as the new one

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A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year. a.) Write a linear mode

Viktor [21]

Answer:

Part a) The linear model that shows the salesperson’s total income is equal to

$0.10k+\$35,000$

Part b) The total income is $\$60,000$

Step-by-step explanation:

Part a)

Let

k-------> the total sales for the year

y-----> the total income for the year

we know that

The linear equation that represent the situation is

$y=0.10k+\$35,000$

Part b) we have

$k=\$250,000$

substitute the value of k in the linear model to find the total income

$y=0.10(\$250,000)+\$35,000$

$y=\$25,000+\$35,000$

$y=\$60,000$

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3 years ago

Find the mean of the set<br><br> 17.2 18.3 14.9 16.8 15.3

Elena-2011 [213]

To find the mean is to find the average, which means add all the data values together and divide by the number of data values. In this case, we add those values together and divide by 6, which equals 82.5/6= 13.75

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3 years ago

Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate

Basile [38]

Answer:

A. The length of the third side is approximately 5 feet.

B. A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

Step-by-step explanation:

Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.

A. Let side a = 6 feet and c = 3 feet, thus;

$b^{2}$ = $a^{2}$ + $c^{2}$ - 2ac Cos B

= $6^{2}$ + $3^{2}$ - 2(6 x 3) Cos $60^{o}$

= 36 + 9 - 36 x 0.5

= 45 - 18

$b^{2}$ = 27

b = $\sqrt{27}$

= 5.1962

b = 5.2 feet

b ≅ 5 feet

The length of the third side is approximately 5 feet.

B. Given that B = $60^{o}$ , then let us apply the Sine rule to determined the measure of A.

$\frac{a}{SinA}$ = $\frac{b}{SinB}$

So that,

$\frac{6}{Sin A}$ = $\frac{5.2}{Sin60^{o} }$

Sin A = $\frac{0.886*6}{5.2}$

Sin A = 0.99923

A = $Sin^{-1}$ 0.99923

= 87.75

A ≅ $88^{o}$

Since the sum of angle in a triangle = $180^{o}$ .

Then,

A + B + C = $180^{o}$

$88^{o}$ + $60^{o}$ + C = $180^{o}$

$148^{o}$ + C = $180^{o}$

C = $180^{o}$ - $148^{o}$

= $32^{o}$

C = $32^{o}$

Thus,

A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

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3 years ago

Which fraction is equivalent to 2/5? <br> A. 4/10 <br> B. 2/10 <br> C. 1/2 <br> D. 4/6

Lelechka [254]

Hey there James!

So, just remember, 2/5 is almost half of 1.

When it is almost half of 1, this means that it would have to be 2.5/5

This would mean that 4/10 would be your answer, because it is almost half of 1 also.

Hope this helps.

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ElenaW [278]

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