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Scrat [10]
4 years ago
15

a straight highway is 100 mile long and each mile is marked by a milepost numbered from 0 to 100. a rest area is going to be bui

lt along the highway exactly 5 miles away from milepost 63. if m is the milepost number of the rest area which of the following equations represents the possible locations for the rest area? A |63-m|=5 B |m-5|=63 C |m+5|=63 D |63+m|=5
Mathematics
2 answers:
Gnom [1K]4 years ago
7 0
B) m-5=63 is the answer
Alinara [238K]4 years ago
7 0
The answer is A

m is 5 miles away from mile post 63,so it's either
m=63+5 or m=63-5
63-m+5=0 or 63-m-5=0
63-m=-5 or 63-m=5

|63-m|=5
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a car dealer buys a luxury car for $65,200 and sells it for 85,650. What is the percent increase in the price of the cara car de
nika2105 [10]

Answer:

The percent increase in the price of the car is <u>31.36%</u>.

Step-by-step explanation:

Given:

A car dealer buys a luxury car for $65,200 and sells it for $85,650.  

Now, to find the percent increase in the price of the car.

Cost price of the luxury car = $65,200.

Sell price of the luxury car = $85,650.

So, the price of the car increased by:

Sell price of the luxury car - Cost price of the luxury car.

=\$85,650-\$65,200\\\\=\$20,450.

<em>Thus, the price of car increased by $20,450.</em>

Now,to get the percent increase in the price of the car:

\frac{20450}{65200} \times 100

=0.3136\times 100

=31.36\%.

Therefore, the percent increase in the price of the car is 31.36%.

7 0
3 years ago
H(x)=5/sqrt(2x+10), find the domain using set builder notation.
marissa [1.9K]

The given expression is

h(x) = \frac{5}{\sqrt{2x+10}}

THe given expression is a rational expression, and rational expression should not have 0 in the denominator.

Moreover, the denominator is a square root term, and square root don't have a value for negative number .

Therefore 2x+10 must be greater then 0. That is

2x+10>0&#10;\\&#10;2x>-10&#10;\\&#10;x>-5

Therefore the required domain in set builder form is

{x | x>-5}

4 0
4 years ago
In a bus of 40 passengers, the number of women is 7 times more than the number of men. How many women are on that bus? Explain y
IgorC [24]

Answer: is 5

Step-by-step explanation:

x is the missing number for women                                                        women are 7 times more than the number of men                                                        

So you do x times 7, which is 7x

Then you add them together

x + 7x = 8x

8x = 40

At last you divide 40 by 8

And the answer is 5

8 0
3 years ago
30 cm<br> 30 cm<br> 26 cm<br> find the area
dusya [7]
30 x 30 x 26 = 23,400
area= 23,400
4 0
3 years ago
Read 2 more answers
Find the length of the missing side please help
kozerog [31]

Step-by-step explanation:

7. Since they are similar triangles we have:

\frac{10}{8}  =  \frac{x}{12}  \\  \\ x = 15

So DF is 15

8. They are also similar. So:

\frac{14}{7}  =  \frac{x}{5}  \\ x = 10

So PR is 10

7 0
2 years ago
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