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Sloan [31]
3 years ago
6

Max makes a scale drawing of distance between Salt Lake City and Arizona. The distance between Salt Lake City and Arizona is 24.

8 cm. If each 7 cm on the scale drawing equals 250 miles, how far are the Salt Lake City and Arizona?
A) 24.8/7 =250/x; x = 70.56 mi

B) 7/250 = x/24.8; x = 0.69 mi

C) 250/25 = x/7; x = 70 mi

D) 7/250 = 24.8/x; 885.71
Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

Option D. 7/250 = 24.8/x; 885.71

Step-by-step explanation:

we know that

Using proportion

\frac{7}{250} \frac{cm}{mi}=\frac{24.8}{x} \frac{cm}{mi}\\ \\x=250*24.8/7\\ \\x=885.71\ miles

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8. Mitchell bought 600 shares of Centerco two years ago $34.50 per share. He sold them yesterday for $38.64 per share.
g100num [7]

Answer:

a. percentage increase in price per share = 12%

b. The total purchase price for the 600 shares is $20,700

c.  The profit for the 600 shares is $2,484

d.  The profit for the 600 shares is $2,484

Step-by-step explanation:

a. Initial price per share    =  $34.50

Current price per share = $38.64

Change or increase in price =  $38.64 - $34.50 = $4.14

percentage increase in price per share = 12/34.50 x 100% = 12%

b. Total number of shares     =  600

    Price                                   =   $34.50

   The total purchase price for the 600 shares = ($34.5x600) = $20,700

c.  Total cost of 600 shares   =  ($34.5x600) = $20,700

     Total revenue from sales =  ($38.64x600) = $23,184

     Profit from the 600 shares = Total selling price - total cost price

                                                  = $23,184 - $20,700 = $2,484

d.  Total cost of 600 shares   =  ($34.5x600) = $20,700

     Total revenue from sales =  ($38.64x600) = $23,184

     Profit from the 600 shares = Total selling price - total cost price

                                                  = $23,184 - $20,700 = $2,484

7 0
3 years ago
|At Davidson's Bike Rentals, it costs $19 to rent a bike for 5 hours.
Veseljchak [2.6K]

Answer:

3.8$

Step-by-step explanation:

You have to figure out $/hours.

19/5= 3.8  $/hours

8 0
2 years ago
The price of a computer component is decreasing at a rate of 15​% per year. State whether this decrease is linear or exponential
Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

P(t) = P(0)(1-r)^{t}

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15​% per year.

This means that r = 0.15

Component costs ​$60 ​today

So P(0) = 60. Then

P(t) = P(0)(1-r)^{t}

P(t) = 60(1-0.15)^{t}

P(t) = 60(0.85)^{t}

What will it cost in three​ years?

This is P(3).

P(t) = 60(0.85)^{t}

P(3) = 60(0.85)^{3} = 36.8475

The component will cost $36.8475 in three years.

6 0
3 years ago
Simplify the following expression:<br> -8 (5b + 2) -7 ( b-5)
RUDIKE [14]

Answer:

-8(5b+2)-7(b-5)

first, use distributive property to get:

-40b-16-7b+35

then, use combine like terms to simplify:

-47b+19

that's your answer!

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3 0
3 years ago
Read 2 more answers
Find the slope of a line perpendicular to 2x-y-16
Alekssandra [29.7K]

put the equation 2x - y = 16 in the form of y = mx + c

2x - y = 16

2x = 16 + y

y = 2x - 16

the slope of this line is 2. the slope of a line perpendicular to it would be the negative reciprocal of 2. in other words, it would multiply with 2 to give -1.

you can form this equation with that info

2x = -1

x = -1/2

OR

you can flip and change the sign (numerator) of 2/1

2/1

= -1/2

6 0
3 years ago
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