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anygoal [31]
3 years ago
9

Lisa is collecting data by interviewing people on the streets. She interviewed 21 people in 3 hours. At this rate, what is the t

otal number of the people she interviewed if she works for a additional 2 hours.
Mathematics
1 answer:
natka813 [3]3 years ago
3 0

Answer:

35 interviews

Step-by-step explanation:

1. Find the rate

21/3 = 7 people an hour

2. Find how much she can do in 2 hours

7 x 2 = 14 interviews

3. Add the 2 numbers

21 + 14 = 35 interviews

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
natka813 [3]

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(9,\:24.5\right)\mathrm{,\:}\left(23,\:17.5\right)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)

m=\frac{17.5-24.5}{23-9}

m=-0.5

\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b

y=\left(-0.5\right)x+b

\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5

24.5=\left(-0.5\right)\cdot \:9+b

24.5=\left(-0.5\right)\cdot \:9+b

-4.5+b=24.5

b=29

\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29

y=-0.5x+29

Now plug in x=21, we get

y=-0.5*21+29=18.5

Thus the height of the candle after 21 hours is 18.5 centimeters.

7 0
3 years ago
You deposit $5000 in a bank account that pays 3.5% annual
miskamm [114]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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alexdok [17]
Which part needs answering ?
3 0
2 years ago
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Mary cut a wire into 7 equal pieces. The wire was originally 7.84 meters long. How long is each piece?
Dvinal [7]

Answer:

Each piece is 1.12 meters long

Step-by-step explanation:

7 equal pieces = divide x by 7

equation: 7.84 / 7

5 0
3 years ago
A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an eq
Nitella [24]

Answer: 2x^2-7x=72 , where  x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length =  2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

\Rightarrow\ 2x^2-7x=72

Hence, the equation that represents the given situation :

2x^2-7x=72

7 0
3 years ago
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