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pav-90 [236]
3 years ago
5

It costs the Quality Company $.14 per mile to run its van. On Monday the van traveled 87.6 miles. How much did it cost to run th

e van that day? Round your answer to the nearest cent.
A. $1.23 B. $13.14 C. $6.57 D. $12.26
Mathematics
2 answers:
gayaneshka [121]3 years ago
4 0
<span>The answer is D. $12.26. The cost is $0.14 per 1 mile. The question is how much will be per 87.6 miles. Make a proportion: $0.14 per 1 mile. x per 87.6 miles. $0.14 : 1 mile = x : 87.6 miles. Cross the products: x * 1 mile = $0.14 * 87.6 miles. x * 1 mile = $12.26 per mile. x = $12.26 per mile / 1 mile. x = $12.26.</span>
Svetlanka [38]3 years ago
3 0

Answer:

12.26

Step-by-step explanation:

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5^(-x)+7=2x+4 This was on plato
Setler79 [48]

Answer:

Below

I hope its not too complicated

x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}

Step-by-step explanation:

5^{\left(-x\right)}+7=2x+4\\\\\mathrm{Prepare}\:5^{\left(-x\right)}+7=2x+4\:\mathrm{for\:Lambert\:form}:\quad 1=\left(2x-3\right)e^{\ln \left(5\right)x}\\\\\mathrm{Rewrite\:the\:equation\:with\:}\\\left(x-\frac{3}{2}\right)\ln \left(5\right)=u\mathrm{\:and\:}x=\frac{u}{\ln \left(5\right)}+\frac{3}{2}\\\\1=\left(2\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)-3\right)e^{\ln \left(5\right)\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)}

Simplify\\\\\mathrm{Rewrite}\:1=\frac{2e^{u+\frac{3}{2}\ln \left(5\right)}u}{\ln \left(5\right)}\:\\\\\mathrm{in\:Lambert\:form}:\quad \frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}

\mathrm{Solve\:}\:\frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}:\quad u=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)\\\\\mathrm{Substitute\:back}\:u=\left(x-\frac{3}{2}\right)\ln \left(5\right),\:\mathrm{solve\:for}\:x

\mathrm{Solve\:}\:\left(x-\frac{3}{2}\right)\ln \left(5\right)=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right):\\\quad x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}

3 0
3 years ago
Can u guys please help me!!
Alona [7]

Answer and Step-by-step explanation:

This problem requires the use of trigonometric functions, specifically the tangent trig function.

tan(Angle)=\frac{opposite}{adjacent}

Plug in the values.

tan(40) = \frac{8000}{x}

Multiply by x to both sides, then divide by tan(40) to both sides.

x = \frac{8000}{tan(40)}

Now, plug this into a calculator and rounded to the nearest whole number (foot).

x = 9534.0287

x = 9534 ft.

The answer is 9534 ft., the last option.

#teamtrees #WAP (Water And Plant)

5 0
3 years ago
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Bess [88]
4+4+1 is the answer
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3 years ago
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What does perimeter mean?
Lady bird [3.3K]

Answer:

the continuous line forming the boundary of a closed geometric figure

Step-by-step explanation:

that is what perimeter means. if i understand the question correctly. sorry if i don't.

6 0
3 years ago
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HELP!!Part B What is the approximate volume of each slice that Hattie's grandma cut? (arc length of each slice is 3 in, vol. of
GalinKa [24]

The approximate volume of each slice will be 63.5 inch². The total cake is divided into the four cylindrical slice.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

The volume of the slice is;

\rm V = \pi r^2 h\\\\\ \rm 81 \pi = \pi  \times (r)^2 \times 4 \\\\ r= 4.5 \ inch

If the grandma cut four pieces, is the approximate volume of each slice that Hattie's grandma cut will be;

The approximate volume of each slice will be;

\rm V = \PI r^2 h \\\\ \rm V = 3.14 \times (4.5)^2 \times 1 \\\\ V=63.5 \ inch^2

Hence, the approximate volume of each slice will be 63.5 inch².

Learn more about the volume here:

brainly.com/question/16788902

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6 0
2 years ago
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