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xxMikexx [17]
3 years ago
14

Rani has at most $20 to spend on a canoe rental. To rent a canoe $12.To use the canoe cost $3 an hour. Write an inequality that

can be used to find h,the number of hours rani can use the rented canoe.
Mathematics
1 answer:
Julli [10]3 years ago
7 0

Answer:

Rani can use the rented canoe for  h\leq 2\frac{2}{3}  hours.

Step-by-step explanation:

Given:

Rani has at most $20 to spend on a canoe rental.

To rent a canoe $12.To use the canoe cost $3 an hour.

The number of hours is h.

Now, to find h the number of hours rani can use the rented canoe.

Total money Rani has at most to spend = $20.

The rent of a canoe = $12.

The cost of using canoe per hour = $3.

<em><u>According to question:</u></em>

Now, to find the number of hours rani can use the rented canoe:

3h+12\leq 20

<em>Subtracting both sides by 12 we get:</em>

<em />3h\leq 8<em />

<em>Dividing both sides by 3 we get:</em>

<em />h\leq \frac{8}{3}<em />

<em />h\leq 2\frac{2}{3}<em />

Therefore, Rani can use the rented canoe for  h\leq 2\frac{2}{3} hours.

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Find the exact value of cos theta​, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.
vova2212 [387]

Answer:

cos \theta = -\frac{8}{17}

Step-by-step explanation:

For this case we know that:

sin \theta = \frac{15}{17}

And we want to find the value for cos \theta, so then we can use the following basic identity:

cos^2 \theta + sin^2 \theta =1

And if we solve for cos \theta we got:

cos^2 \theta = 1- sin^2 \theta

cos \theta =\pm \sqrt{1-sin^2 \theta}

And if we replace the value given we got:

cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

cos \theta = -\frac{8}{17}

5 0
2 years ago
1-58. Mr. Wright was making a table to figure out how much it costs to send a certain numt
Drupady [299]

A table of values can be used to represent variables that are directly proportional.

The complete table of proportions is:

\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]

Given that

\left[\begin{array}{ccccccccc}Letters&10&2&[\ ]&7&1&500&[\ ] \\Cost&0.45&0.90&6.75&[\ ]&[\ ]&[\ ] & 18.90\end{array}\right]

Let:

<em />L \to<em> Letters</em>

<em />C \to<em> Cost</em>

<em />

Using proportional reasoning, we have:

C  = kL

Where

<em />k \to<em> ratio of proportion</em>

For the first values of C and L, we have:

C  = kL

0.45 = k \times 10

Divide both sides by 10

k = 0.045

So, the equation of proportion is:

C = 0.045L

<u>When C = 6.75, we have:</u>

C = 0.045L

6.75 = 0.045L

Solve for L

L = \frac{6.75}{0.045}

L = 150

<u>When L = 7, we have:</u>

C = 0.045L

C = 0.045 \times 7

C = 0.315

<u>When L = 1, we have:</u>

C = 0.045L

C = 0.045 \times 1

C = 0.045

<u>When L = 500, we have:</u>

C =0.045L\\

C =0.045 \times 500

C =22.5

<u>When C = 18.90, we have:</u>

C = 0.045L

18.90 = 0.045L

Solve for L

L=\frac{18.90}{0.045}

L=420

Hence, the complete table is:

\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]

Read more about proportions at:

brainly.com/question/21126582

8 0
2 years ago
Can someone help me with my 04.05 Graphing Exponential Functions assignment
True [87]

Answer:

what is the questions

Step-by-step explanation:

4 0
2 years ago
Someone help me with this
Alex

Answer:

y=7.5x, y=9.25x, y=6x

Step-by-step explanation:

on the first table we have for 2 tikets $ 15 so the price for one ticket (also known as unit price) is 15/2= $ 7.5

the equation for the price of ticket must be

y= 7.5 x (where y is price you pay for x number of tikets)

on the second table you can pick that you have $37 for 4 tikets so unit price is 37/4= $9.25 per one ticket

y=9.25x

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y=6x

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3 years ago
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If you answer this you will get brainless
Yanka [14]

Answer:

B

Step-by-step explanation:

A doesn't repeat at all
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