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Musya8 [376]
2 years ago
15

If it costs susan $25 to rent a truck for 1 hour and $100 to rent a truck for 4 hours, how much will it cost for her to rent a t

ruck for her entire 8-hour work day? a. $150 b. $200 c. $225 d. $250
Mathematics
1 answer:
Elis [28]2 years ago
5 0

Answer:  $200  (choice B)

Explanation:

Notice that 100/4 = 25 which matches with the fact the cost is $25 per hour.

Therefore, 8 hours will yield a total cost of 8*25 = 200 dollars

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The answer is <span>Commutative</span> Property of Addition
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4 years ago
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A restaurant has 15 one-eighth-sized pieces of pie out on plates when it closed for the day. If the pie was all put back in the
Usimov [2.4K]

Answer:

1 Complete pie

Step-by-step explanation:

since they are 1/8 slices there are a total of 8 slices in a pie. You can draw out the slices in a circle if it helps or you can use the equation 15/8. You will get 1.something but the question is asking how many complete pies so the answer is 1.

4 0
2 years ago
PLEASE HELP ME 50 POINTS !!! Can anyone help me find the function for this trig graph ?? i need a specific answer for the functi
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Answer:

what is amplitude?

Step-by-step explanation:

8 0
3 years ago
A department store has a discount on shoes based on a percentage of the price. Suppose one pair of shoes is marked down from 80
AysviL [449]

Answer:

Discounted price = $160

Step-by-step explanation:

Let x be the discounted price of shoes.

Given:

A department store has a discount on shoes based on a percentage of the price.

and marked down on one pair of shoes is $80 to $64.

So, the discounted rate = 80 - 64 = 16

therefore, the percent of discount is.

% value  =\frac{discounted\ rate}{original\ rate}\times 100

% value  =\frac{16}{80}\times 100

% value =\frac{16\times 100}{80}

% value =\frac{16\times 10}{8}

% value =2\times 10

% value = 20%

Find the price for a $200 pair of shoes after the same discount is applied.

So the discount is 20% and the discounted price of the shoe is 80% of $200.

% value  =\frac{discounted\ price}{original\ price}\times 100

80 =\frac{x}{200}\times 100

x=\frac{80\times 200}{100}

x=80\times 2

x = $160

Therefore, the discounted price of the shoe is $160.

4 0
4 years ago
Evaluate the integral, show all steps please!
zalisa [80]

Answer:

\dfrac{3}{2} \ln |x-4| - \dfrac{1}{2} \ln |x+2| + \text{C}

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given indefinite integral:

\displaystyle \int \dfrac{x+5}{(x-4)(x+2)}\:\:\text{d}x

Take <u>partial fractions</u> of the given fraction by writing out the fraction as an <u>identity</u>:

\begin{aligned}\dfrac{x+5}{(x-4)(x+2)} & \equiv \dfrac{A}{x-4}+\dfrac{B}{x+2}\\\\\implies \dfrac{x+5}{(x-4)(x+2)} & \equiv \dfrac{A(x+2)}{(x-4)(x+2)}+\dfrac{B(x-4)}{(x-4)(x+2)}\\\\\implies x+5 & \equiv A(x+2)+B(x-4)\end{aligned}

Calculate the values of A and B using substitution:

\textsf{when }x=4 \implies 9 = A(6)+B(0) \implies A=\dfrac{3}{2}

\textsf{when }x=-2 \implies 3 = A(0)+B(-6) \implies B=-\dfrac{1}{2}

Substitute the found values of A and B:

\displaystyle \int \dfrac{x+5}{(x-4)(x+2)}\:\:\text{d}x = \int \dfrac{3}{2(x-4)}-\dfrac{1}{2(x+2)}\:\:\text{d}x

\boxed{\begin{minipage}{5 cm}\underline{Terms multiplied by constants}\\\\$\displaystyle \int ax^n\:\text{d}x=a \int x^n \:\text{d}x$\end{minipage}}

If the terms are multiplied by constants, take them outside the integral:

\implies \displaystyle \dfrac{3}{2} \int \dfrac{1}{x-4}- \dfrac{1}{2} \int \dfrac{1}{x+2}\:\:\text{d}x

\boxed{\begin{minipage}{5 cm}\underline{Integrating}\\\\$\displaystyle \int \dfrac{f'(x)}{f(x)}\:\text{d}x=\ln |f(x)| \:\:(+\text{C})$\end{minipage}}

\implies \dfrac{3}{2} \ln |x-4| - \dfrac{1}{2} \ln |x+2| + \text{C}

Learn more about integration here:

brainly.com/question/27805589

brainly.com/question/28155016

4 0
2 years ago
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