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3 years ago

Danielle needs to walk 2.5. if she wants to teach her destination in 30 minutes(1/2),how fast does she need to walk?

Mathematics

1 answer:

adelina 88 [10]3 years ago

8 0

Answer:

the correct answer is B. 5 miles per hour

Step-by-step explanation:

if she walks 5 miles in a hour she can walk 2.5 miles in 30 minutes

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Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in thi

mamaluj [8]

Answer:

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario?

First, calculate the rate of change (Slope, once it is a linear function):

I will take the points: $(0, 100)$ and $(1, 80)$

$m=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{100-80}{0-1}=-20$

Let's understand the graph!

This linear graph is about songs being downloaded in a period of 5 weeks.

In the beginning, we have 100 songs to be downloaded. As the weeks past, the number of songs remaining decreases, that's why the graph's slope is negative. In week 5, all songs were downloaded.

The initial value (100) represents the number of songs.

Part B: Write an equation in slope-intercept form to model the relationship between x and y.

The Slope-intercept form of linear equations is $y=mx+b$

where, m is the slope and b is the y-intercept.

In this case, we have

$y=-20x+100$

3 0

3 years ago

Read 2 more answers

A movie theater charges $15 for standard viewing, $20 for 3D viewing, and $35 for Dinner and a

Ludmilka [50]

The quantity of each type of seats sold are as follows:

Standard viewing = 2000

3D seats = 800

Movie and a dinner seat = 200

According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.

That is, x = 4y

Also, total seats

= (x) + (y) + (z) = 3000...….............eqn(1)

Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.

20x + 35y + 15z = 53000...........eqn(2)

By substituting 4y for x in equations 1 and 2; we have;

<em>5y + z = 3000</em>..…........eqn(3) and

<em>115y + 15z = 53000</em>.........eqn(4)

By solving equations 3 and 4 simultaneously; we have;

y = 200 and z = 2000

and since x = 4y

x = 800

The quantity of each type of seats sold is as follows:

Standard viewing = 2000

3D seats = 800

Movie and a dinner seat = 200

Read more:

brainly.com/question/12413726

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3 years ago

P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. Th

Tomtit [17]

Answer:

r = 21

Step-by-step explanation:

nth of sequence P :

$T_{n} = 4n -2$

$r^{th} term$ : $4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21$

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1 year ago

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.

IrinaVladis [17]

Here you go, hope this helps :)

4 0

3 years ago

recipe for brownies calls for 3/4 cup of sugar. Skylar has a bag that contains 9 1/2 cups of sugar. Exactly how many batches of

goblinko [34]

.9 1/2 cups is equal to 19/4. divide 19 by 3 (the 3 from 3/4) and you get 6 1/4. Skylar can make 6 batches with this one bag of sugar.

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3 years ago