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3 years ago

A repairman charged $93.06. The price included 2 hours of labor and a $40 service charge.

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

7 0

Answer:

$26.53

Step-by-step explanation:

NISA [10]3 years ago

5 0

Answer:

$26.53

Step-by-step explanation:

93.06-40=53.06

53.06÷2=26.53

<h2><u><em>Could I please have Brainliest?</em></u></h2>

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You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$

$-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0$

$\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}$

squaring both sides; we get

$\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}$

$\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}$

By cross multiplying; we get

$49x^2 = 25(54^2+x^2)$

$49x^2 = 25 \times 54^2+ 25x^2$

$49x^2-25x^2 = 25 \times 54^2$

$24x^2 = 25 \times 54^2$

$x^2 = \dfrac{25 \times 54^2}{24}$

$x =\sqrt{ \dfrac{25 \times 54^2}{24}}$

$x =\dfrac{5 \times 54}{\sqrt{24}}$

$x =\dfrac{270}{\sqrt{4 \times 6}}$

$x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}$

$x =\dfrac{45 \sqrt{6}}{ 2}$

8 0

3 years ago

PLEASE I AM IN DESPERATE NEED OF HELP

SSSSS [86.1K]

Answer:

I think the 3rd one

Step-by-step explanation:

Hope its right

3 0

2 years ago

Hihi , please help if able.

earnstyle [38]

Answer:

Step-by-step explanation:

3².2³/2² + 3².2²/2² = 27

7 0

3 years ago

Read 2 more answers

307,407 rouned to the nereist thousandth

kobusy [5.1K]

Rounded to the thousands would be 307,000 and thousandths is 307.407

6 0

3 years ago

A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estim

STALIN [3.7K]

Answer:

The inequality is $5.5n \leq 45$

Step-by-step explanation:

Total time:

The total time to complete the test is the sum of the number of multiple-choice questions multiplied by the time it takes to solve each and the number of short-answer questions multiply by the time it takes to solve each.

In this question:

Same number(n) of both.

Multiple-choice takes 2 minutes, short-answer takes 3.5 minutes. The total time is given by:

$T = 2n + 3.5n = 5.5n$

Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.?

This means that:

$T \leq 45$

$5.5n \leq 45$

The inequality is $5.5n \leq 45$

5 0

3 years ago