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LUCKY_DIMON [66]
2 years ago
8

The choir is planning a trip to the water park. The cost to use a school bus is $350. Complete the table at the right then graph

your result. Is this a proportional relationship?

Mathematics
2 answers:
faust18 [17]2 years ago
8 0
350÷10=35
350÷15=23 1/3 or 23.34
350÷20=17.50
350÷35=10
nasty-shy [4]2 years ago
6 0

Answer:

10 students: Bus cost per student is $35

15 students: Bus cost per student is $23.24.

20 students: Bus cost per student is $17.5

35 students: Bus cost per student is $10

Step-by-step explanation:

We are given the following information in the question:

Cost to use school bus = $350

Bus cost per student =

\displaystyle\frac{\text{Total Cost}}{\text{Number of students}}\

Number of students = 10

Bust cost per student =

\displaystyle\frac{350}{10} = \$35

When there are 10 students the bus cost per student is $35.

Number of students = 15

Bust cost per student =

\displaystyle\frac{350}{15} = \$23.34

When there are 15 students the bus cost per student is $23.34.

Number of students = 20

Bust cost per student =

\displaystyle\frac{350}{20} = \$17.5

When there are 20 students the bus cost per student is $17.5.

Number of students = 35

Bust cost per student =

\displaystyle\frac{350}{35} = \$10

When there are 35 students the bus cost per student is $10.

The attached image shows a plot for the given situation.

No, the given relationship in not proportional. If two quantities are proportional, then they have a constant ratio, which cannot be said for the given scenario.

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Explain what it means for a solution of an equation to be extraneous.
HACTEHA [7]

Answer:

Extraneous Solutions An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x, 1 x − 2 + 1 x + 2 = 4 (x − 2) (x + 2).

4 0
2 years ago
A triangle is removed from the rectangle. Find the area of the remaining figure.
Mariulka [41]

Answer

C) 160 in^2


Step by step explanation

First, let's find the area of the rectangle.

Area of a rectangle = length x width

The area of the rectangle = 20 * 10

= 200 in^2

Now let's find the area of the triangle that is removed.

Area of a triangle = 1/2 base * height.

Here base = 10 and height = 8. Plug in these values into the formula, we get

Area of the triangle = 1/2 * 10*8

= 5* 8

The area of the triangle = 40 in^2

The area of the remaining figure = Area of the rectangle - area of the triangle

=  200 - 40

= 160 in^2

The answer is "160 in^2"

Thank you.

5 0
2 years ago
Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package
andrey2020 [161]

Answer:The cost of one month of game-play =$20


Step-by-step explanation:

Let the cost of one month of gameplay be x

Then cost of game-play bought by Angie =3x.....(1)

and Then cost of game-play bought by Kenny=4x......(2)

Cost of each software package =$50......(3)

The the total cost =240= sum of costs of software bought by both of them and game-play)=50+50+3x+4x

⇒240=100+7x.......→(by adding like terms)

⇒140=7x⇒x=20.....→( dividing both sides by 7 )

∴the cost of one month of game-play =$20



8 0
3 years ago
Read 2 more answers
The sutton police department must write, on average, 6 tickets a day to keep department revenues at budgeted levels. suppose the
lakkis [162]
The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then
P(k \, events) = e^{-\lambda } ( \frac{\lambda ^{k}}{k!} )

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is
P(k \, tickets/day)=e^{-6.5} ( \frac{6.5 ^{k}}{k!} )
The distribution is graphed as shown below.

Answer: 
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.

8 0
3 years ago
Expand the expression (3-2y)^6 using binomial theorem
Nitella [24]

She should have added 2 to both sides of the equation instead of subtracting 2.

2x -2 = 14

Add 2 to both sides:

2x = 16

Divide both sides by 2:

x = 8

5 0
3 years ago
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