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krok68 [10]
3 years ago
11

To rent a moving truck there is a fee of $150 and each mile you drive costs an extra $1.75 per mile, where R(x) is the total cos

t to rent a truck for (x) number of miles. What is the total cost of the rental if you drive the truck a total of 96 miles?
Mathematics
1 answer:
abruzzese [7]3 years ago
8 0

Answer:

$318

Step-by-step explanation:

First, we want to set up an equation to solve this problem by using the information given to us. We're asked for the total cost, so we want one side of the equation to be R(x)=. Then, we know that the initial cost is $150, no matter how many miles we drive. We are also told that each mile is $1.75.

R(x)=150+1.75x

The problem tells us that we are driving 96 miles, so we can plug in 96 for x and solve.

R(x)=150+1.75(96)\\R(x)=150+168\\R(x)=318

The total cost of the rental is going to $318.

Hope this helps!

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Answer:

C) abH

Step-by-step explanation:

a × b × H

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The answer is option C

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4 years ago
Jairo walked 4/10 mile on Monday. He
elena-14-01-66 [18.8K]

Answer:

he walked 1 mile

Step-by-step explanation:

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8 0
3 years ago
Please help me <br> Show your work <br> 10 points
Svet_ta [14]
<h2>Answer</h2>

After the dilation \frac{5}{3} around the center of dilation (2, -2), our triangle will have coordinates:

R'=(2,3)

S'=(2,-2)

T'=(-3,-2)

<h2>Explanation</h2>

First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:

(x,y)→(x-2, y+2)

Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor \frac{5}{3}. Therefore our second partial rule will be:

(x,y)→\frac{5}{3} (x-2,y+2)

(x,y)→(\frac{5}{3} x-\frac{10}{3} ,\frac{5}{3} y+\frac{10}{3} )

Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)

(x,y)→(\frac{5}{3} x-\frac{10}{3}+2,\frac{5}{3} y+\frac{10}{3}-2)

(x,y)→(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})

Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:

R=(2,1)

R'=(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})

R'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(1)+ \frac{4}{3})

R'=(\frac{10}{3} -\frac{4}{3} ,\frac{5}{3}+ \frac{4}{3})

R'=(2,3)

S=(2,-2)

S'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})

S'=(\frac{10}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})

S'=(2,-2)

T=(-1,-2)

T'=(\frac{5}{3} (-1)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})

T'=(-\frac{5}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})

T'=(-3,-2)

Now we can finally draw our triangle:

8 0
3 years ago
Solve using substitution or elimination.<br><br> y = x + 1<br> 2x - 5y = 4
andrew-mc [135]

Substitute y = x + 1 into 2x - 5y = 4

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Therefore,

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Levart [38]

Answer:

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Step-by-step explanation:

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The ratio is for every three puppies we have one brown puppie.

8 0
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