The price of a bus ticket to Saskatoon is $180. This bus has 56 seats. The bus company is considering dropping this bus fare as part of a promotion to increase the ridership on that route.

The buses has only been at half capacity lately. The companies research shows that for every 5$ decreases they will gain 2 more riders.


1. Define variable and set up an equation to represent his scenario


2. What is the maximum revenue the bus company can earn and what will be the cost of a ticket when the revenue is at a maximum

Answer:

[tex]3\frac{1}{3}[/tex] or [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

We could use the combined rate equation to find the combined rate of work.

Combined rate of work formula: [tex]\frac{1}{t_{b}} = \frac{1}{t_{1} } + \frac{1}{t_{2} }[/tex], where [tex]t_{1}[/tex] is the individual time for object A, [tex]t_{2}[/tex] the individual time for object B and [tex]t_{b}[/tex] is the time for A and B together.

The time it takes Irina to paint the room alone, [tex]t_{1}[/tex] = 5 hours

The time it takes Paulo to paint the room, [tex]t_{2}[/tex] = 10 hours

1) Substitute object A (Irina) and B (Paulo) into the formula given above, and change [tex]t_{b}[/tex] into an [tex]x[/tex].

[tex]\frac{1}{{x}} = \frac{1}{5 } + \frac{1}{10 }[/tex]

2) Add the fractions.

[tex]\frac{1}{x} = \frac{3}{10}[/tex]

3) Solve for the [tex]x[/tex].

[tex]x(3) = 1(10)\\3x = 10\\x = \frac{10}{3} \\[/tex]

4) Change them into a mixed fraction.

[tex]3\frac{1}{3}[/tex]

Note: [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{3}[/tex] are both correct. Write the answer according to the question. In this case, there is no specific rule, so I choose [tex]3\frac{1}{3}[/tex].

Answer:

Q' (2,4)

R' (3,1)

S' (5,3)

Step-by-step explanation:

When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.

Answer:

Q=(2,4)

R=(3,1)

S=(5,3)

Step-by-step explanation:

The x value stays the same when reflecting in the x axis

And the y value would be an equal distance from the y-axis for all coordinates so you would make -4 into 4 ecause they are both 4 away from the y-axis line.

Please give brainliest :)

The picture isin't clear can you write it

Answer:

$3172.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

The range of the functions f(x) = |x| 9 and g(x) = –6 then (f+g)(x) will be equal  to (f+g)(x)[tex]\geq[/tex]3 for all the values of x.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

It is given that

[tex]f(x)=|x|+9[/tex]

[tex]g(x)=-6[/tex]

So now

[tex](f+g)(x)=|x|+9-6=|x|+5[/tex]

So from the above equation, we can see that (f+g)(x) describes the range  (f+g)(x)[tex]\geq[/tex]3

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Answers 76:

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

(32-12)/2= 10

10+12= 22

Answer:

Part A:

x > 13

Part B:

How to show this inequality on a number line is a closed circle on 13, going left of 13.

Step-by-step explanation:

Part A:

x represents the age of children who are allowed to operate the boat.

Our inequality is < because if you are of the age of 13 you are allowed to operate the boat,

the inequality x > 13 reads x (the age of children) is greater than or equal to 13

Part B:

How to describe inequalities on a number line;

Closed circle: less than or equal to - or - greater than or equal to ( < , > )

Open circle: less than - or - greater than ( < , > )

To the right of the number on the number line: greater than

To the left of the number on the number line: less than

Answer:

Part A

Let x = age of child (in years)

Given:

"Children under the age of 13 are not allowed to operate a boat"

Therefore, children should be 13 or older:

⇒ x ≥ 13

Part B

Place a closed circle at 13.

Shade to the right of the closed circle.

Answer:

240

Step-by-step explanation:

30/2.5 = 12 minutes, 12*5 = 60 laps per thirty minutes. 60 * 4 days = 240 laps

After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.

We have a table given that showing a  first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.

As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6

Therefore, loan amount = $1184.6

The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18

After one year of payments, the amount need to be paid to interest:

= Loan amount - Outstanding amount after 12 months

= 1184.6 - 84.18

= $1100.425

Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

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Answer:

  f(7) = 1.08

Step-by-step explanation:

The recursive formula can be used with the given value to find the desired value.

__

Given:

  f(n) = 0.3×f(n-1) . . . . . where f(5) = 12

The next term in the sequence is ...

  f(6) = 0.3×f(5) = 0.3(12) = 3.6

  f(7) = 0.3×f(6) = 0.3(3.6) = 1.08

Your heart rate is the number of times each minute that your heart beats, which is normally between 60 and 100 times per minute for adults. Your pulse is a way you can feel each time your heart beats. Measuring your heart rate helps you monitor your own health and know if you’re exercising at the right level to get the most benefits to your health.

Your pulse is your heart rate, or the number of times your heart beats in one minute. Pulse rates vary from person to person. Your pulse is lower when you are at rest and increases when you exercise (more oxygen-rich blood is needed by the body when you exercise). Knowing how to take your pulse can help you evaluate your exercise program.

Answer:

0.1042, 10.42%

Answer:

Step-by-step explanation:

12/18= 2/3, that’s the ratio of how many questions he gets right compared to total questions

So if there are 30 questions total, he will get 20 right (30 x 2/3)

If you’re taking into consideration that he already answered 18 questions, he will get 8 more correct

Answer: 11

Step-by-step explanation:Since the y coordinates are the same, the distance is the values between the x coordinates 6 - -5

6+5

11

Answer:

44,15,29

Step-by-step explanation:

8 + 11 + 25 + p=

simplify

44 + p

8 + 11 + 25 + p = 15

p=29

but your real answer for p is p= 44

Answer:

25.12 yd

Step-by-step explanation:

Radius (r) = 4 yd

π = 3.14

Circumference of the circle

= 2πr

= 2 × (3.14) × (4)

= 25.12 yd

_________

Hope it helps ⚜

Answer:

25.12 yards

Step-by-step explanation:

Circumference formula : 2πr

Solving

Answer: [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation is in the slope-intercept format of y=mx+b

In this format the slope is m

In this case m is [tex]\frac{3}{4}[/tex]

An expression is defined as a set of numbers, variables, and mathematical operations. The simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplified product of the binomial (2x+3) and the trinomial (x²+x-2) can be written as,

[tex](2x+3)(x^2+x-2)\\\\= (2x \times x^2)+(2x \times x) + (2x\times -2) + (3\times x^2)+(3\times x)+(3\times -2)\\\\= 2x^3 + 2x^2-4x+3x^2+3x-6\\\\= 2x^3+5x^2-x-6[/tex]

Thus, the simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).

Learn more about Expression:

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Answer:

1:6 is the answer

Step-by-step explanation:

If X is equal to 1, Y would equal 6...

Because X is /3 of half of Y

so if Y is 6 then divide by 2 then divide by 3 to get 1

the reverse... (X x 3) x 2 = Y

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

A

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

  = (2x + 10)(2x + 6) ← expand using FOIL and equate to 140

 = 4x² + 12x + 20x + 60 = 140

= 4x² + 32x + 60 = 140 ( subtract 140 from both sides )

4x² + 32x - 80 = 0  

Answer:

A: 4x² + 32x - 80 = 0

Step-by-step explanation:

Formula

Solving :

Answer: 6, 6, 15, 6, 15, 12, 3 , 15, 1

Step-by-step explanation: I have shown in the file two ways to calculate HCF. That's the answer from 1-9 above.

An example with number 6.

36= 12×3

24=12×2

60=12×5
HCF is 12. The highest number that can divide them all

Answer:

Step-by-step explanation:

so cross divide so 5 and 2

Answer: it equals as a fraction 41/5 as a decimal equals 8.2

Step-by-step explanation: hope I helped you . Please give brainliest . Thanks .

Step-by-step explanation:

angle 3 = 58

so angle 5 = 58 too

angle 7 = 180 - angle5 - angle6

= 180- 58 -90

= 32 degree

Answer:

115

Step-by-step explanation:

A. 51

Step-by-step explanation:

Virtical angles are congruent

Answer:

72 games in total

Step-by-step explanation:

hope this helps :)