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Greeley [361]
3 years ago
11

How is a " unit rate " derived from a rate?

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0
I have I added ok sorry
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two hundred tickets for the school play were sold. tickets cost $2 for students and $3 for adults. the total amount collected wa
Gre4nikov [31]
A system of equations is good for a problem like this.
Let x be the number of student tickets sold
Let y be the number of adult tickets sold
x + y = 200
2x + 3y = 490
x = 200 - y
2(200 - y) + 3y = 490
400 - 2y + 3y = 490
400 + y = 490
y = 90
The number of adult tickets sold was 90.
x + 90 = 200 --> x = 110
2x + 3(90) = 490 --> 2x + 270 = 490 --> 2x = 220 --> x = 110
The number student tickets sold was 110.
4 0
3 years ago
The Carolina panthers play 8 home games each year.Tickets cost an average of $35. The stadium seats 74,000 people. Revenue is a
tatiyna

Answer: the range for one game is {$0, $2,590,000}

Step-by-step explanation:

The revenue, on average,  can be written as:

Y = $35*x

where y is the revenue and x is the number of tickets sold.

The domain of this function is equal to  {0, 74000} this means that they can sell any whole number of tickets between 0 and 74000.

To find the range we need to evaluate y in bot extremes of the domain (because we have a linear relation)

minimum revenue  

y(0) = $35*0 = $0

maximum revenue

y(74000) = $35*74000 = $2,590,000

So the range for one game is {$0, $2,590,000}

4 0
4 years ago
What is the y-intercept of f–1(x)?
wolverine [178]

Answer:

-16

Step-by-step explanation:

The given linear function is ; f(x)=\frac{3}{4}x+12

Let y=\frac{3}{4}x+12.

We interchange x and y.

x=\frac{3}{4}y+12.

We solve for y.

x-12=\frac{3}{4}y.

We now multiply through by \frac{4}{3} to get:

\frac{4}{3}x-12\times\frac{4}{3}=y.

This simplifies to;

y=\frac{4}{3}x-16.

Hence f^{-1}(x)=\frac{4}{3}x-16.

The y-intercept is -16

8 0
4 years ago
What is 10 over 64 in simplest form
kykrilka [37]
To write a fraction in simplest form, you have to divide the numerator and the denominator by their greatest common factor.

Factors of 10: 1, 2, 5, 10
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Common Factors: 1, 2
Greatest Common Factor: 2

\frac{10}{64} = \frac{10/2}{64/2} = \frac{5}{32}
6 0
3 years ago
Fill in the blank so that the ordered pair is a solution of y=9x+4 .<br> ( , 22)
aalyn [17]

Answer:

(2,22)

Step by step explanation:

(x,22) is the solution of the equation y=9x+4

9x+4= 22

=>9x= 22-4

=>9x=18

=>x= 2

8 0
3 years ago
Read 2 more answers
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