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LuckyWell [14K]
2 years ago
11

The function m=30-3r represents the amount m (in dollars) of money you have after renting r video games.

Mathematics
1 answer:
san4es73 [151]2 years ago
5 0
The domain of the equation are all the possible values of the independent variables that would make the equation reasonable, possible or true. In this item, the independent variable is r. This could take a value of 0 up to the point when m is equal to zero.
        m = 30 - 3r = 0
              r = 10

The domain is therefore [0, 10]. 

The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30]. 

The function is discrete because r and m cannot take every value in the number line. 
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A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total
Natali [406]

Answer:

There were 172 guests that were children and 278 guests that were adults

Step-by-step explanation:

Step 1: State what is known

It is $25 per adult

It is $12 per child

The made $9014 dollars

There were 450 guests

Step 2: Define equations

25y + 12x = 9014 -----1

x + y = 450 ------------2

Step 3: Rearrange equation 2 for x

x + y = 450

x = 450 - y --------------3

Step 4: Substitute 3 into 1 for y and solve for y

25y + 12(450 - y) = 9014

25y + 5400 - 12y = 9014

13y = 3614

y = 3614/13

y = 278

Step 5: Substitute y = 278 into 3 to solve for x

x = 450 - (278)

x = 172

Therefore 172 children and 278 adults visited the museum

4 0
2 years ago
What is the pattern of 3.5, 13, 41.5, 127,,,, and the anwser
maw [93]
Times 3 plus 2.5 is the pattern, and the next number is 383.5
8 0
2 years ago
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the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 48 M. the length of the alley
Firdavs [7]

Answer:

Length is 20 m and width is 4 m.

Step-by-step explanation:

Given:

Perimeter of the rectangular alley, P=48\textrm{ m}

Length is 5 times the width.

Let width be x.

So, as per question,

Length,l = 5x

Now, perimeter of rectangle is given as:

P=2(l+b)

Plug in 48 for P, 5x for l and x for b.

48=2(5x+x)\\48=2(6x)\\48=12x\\x=\frac{48}{12}=4

Therefore, width is 4 m.

Length is 5x=5\times 4=20 m.

8 0
2 years ago
A ball is thrown upwards and it’s height h m,at time t s,is given by h=7t-4.9t2.How long does the ball spend more than 1.5m abov
Allushta [10]

Answer:  From what you wrote the I think the ball is drop

At time 0 you are 7 meters above ground

You basically just need to solve for

1.5 =7t-4.9t^2

by rearrange the equation you get

4.9t^2-7t+1.5=0

by using Quadratic Formula

t=1.166s

4 0
1 year ago
A plot of land is about 13,000 ft by 8000 ft. Approximately how many square miles is this? Round to the nearest whole number.
Ivan
5280ft = 1mile

13,000ft = 2.46miles              8,000ft = 1.52 miles

2.46 x 1.52 = 3.7 miles^2
4 0
2 years ago
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