Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Part A
Write an expression to represent this scenario where r represents the number of rides.
Part B
Write and solve an equation to determine how many rides Kolby can ride if his parents gave him $26.00. Show your work.

Answers

Answer 1

Answer:

Part A:

1.40x+8.00=C

Part B:

1.40x+8=26

        -8   -8

1.40x=18

/1.40    /1.40

x=11 total rides

Step-by-step explanation:

An expression to represent this would be 1.40x+8.00=C (C is total cost).

If you had $26.00 you would first spend $8.00 on the entry leaving you with $18.00. Then you would divide the $18 by $1.40 for each ride to get 12.8... It doesn't make sense to go on a fraction of a ride so you just round down to 11 rides

Answer 2

An expression that represent this situation would be 1.40x+8.00=C (C is total cost).

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that The amusement park charges $8.00 for entry and $1.40 for each ride.

Part A:

An expression to represent this scenario where r represents the number of rides.

1.40x + 8.00 = C

Part B:

An equation to determine how many rides Kolby can ride if his parents gave him $26.00.

1.40x + 8 = 26

1.40x = 18

x = 11 total rides

An expression that represent this situation would be 1.40x+8.00=C (C is total cost).

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Related Questions

i still need help finding angle 1 and 2

Answers

1)82 2)58
Step by step:no

each shape stands for a different number . workout the value of each shape

Answers

Answer: Triangle = 0

Square = 2

Pentagon = 4

Step-by-step explanation:

If you replace the shapes with the numbers you should see that it works.

I used Trial and error.

find the missing side length. giving BRAINLIEST.

Answers

Answer:

15 degrees

Step-by-step explanation:

It is a right angle!

61 + 14 = 75

90 - 75 = 15

Hope this helps!!! :))


For the triangle formed by vertices (3, 5), (2, 1), and (5, 2), calculate the perimeter. This is what the triangle would look like.
Using the Pythagorean Theorem (2 + 2 = 2), please calculate the perimeter, or the sum of the three sides, of the triangle.
Then, calculate the area by finding the area of the orange rectangle and subtracting the outer rectangles

Answers

Answer:

I’m not sure

Step-by-step explanation:

Because I don’t have a brain so I can’t think of what it is. I can’t give you a better explanatio.

Answer:

purrrrrrrfect

Step-by-step explanation:

Comparing fractions with different denominators

1. [tex] \frac{2}{3} and \: \frac{5}{6} [/tex]
2. [tex] \frac{3}{4} and \: \frac{2}{3} [/tex]

Answers

2/3 > 5/6
2/3 > 3/4
hope this helped

Can someone answer this

Answers

Answer:

Step-by-step explanation:

multiply by 6

4-24x+21=-54x+5

54x-24x=5-4-21

30x=-20

x=-20/30=-2/3

X= -2/3 is this the answer you’re looking for?

When a divisor divides the dividend exactly without leaving remainder then the divisor and quotient are
pls answer​

Answers

Answer:

The divisor is called a factor of the dividend.

Step-by-step explanation:

Hope this helps

(Brainliest is appreciated)

Answer:

If a divisor divides the dividend exactly and leaves no remainder, this divisor is also called a factor of that dividend. Therefore, all factors of a number are divisors, but not always all factors have to be factors of a number The factors of 8 are for example 1, 2, 4 and 8, because 8 can be divided exactly by 1, 2, 4, 8.

Step-by-step explanation:

Hope this helps :)


5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?

Answers

Answer:

depends how much he chopped up

Step-by-step explanation:

Answer:

Nothing

Step-by-step explanation:

"5. Hamza chopped up

pineapple and gave ½ to his

mum. He also ate half himself.

How much was left to give to

his dad?"

1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0

Answer: There was nothing left for him.

Homework: Week 3 - Ratios...
Question 13, 1.4.39
O Points: 0 of 1
The ratio of female students to male students at a particular college is 3 to 2 If there are 3375 female students at the college, what is the total number of students at the college?
The total number of students at the college is (Simplify your answer)

Answers

Answer:

5,625

Step-by-step explanation:

divide 3375 by 3 and get 1125 now multiply that by two and get 2250. Add 3375 by 2250 to get 5625 students

A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.

b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?

c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?


Answers

Using quadratic function concepts, it is found that:

a) The value of a is -2000.

b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

c) Between 140 and 160 computers need to be produced.

The profit is modeled by:

[tex]y = a(x - 100)(x - 200)[/tex]

Item a:

If 120  computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.

[tex]y = a(x - 100)(x - 200)[/tex]

[tex]3200000 = a(120 - 100)(120 - 200)[/tex]

[tex]-1600a = 3200000[/tex]

[tex]a = -\frac{3200000}{1600}[/tex]

[tex]a = -2000[/tex]

The value of a is -2000.

Item b:

We first place the quadratic function into standard form, thus:

[tex]y = -2000(x - 100)(x - 200)[/tex]

[tex]y = -2000(x^2 - 300x + 20000)[/tex]

[tex]y = -2000x^2 + 600000x - 40000000[/tex]

Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].

Then, we have to find the vertex:

[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]

[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]

[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]

The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

Item c:

We are working with a concave down parabola, hence the range is between the roots of:

[tex]y = -200x^2 + 600000x - 40000000[/tex]

[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]

[tex]-200x^2 + 600000x - 44800000 = 0[/tex]

The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].

Then:

[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]

[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]

[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]

Between 140 and 160 computers need to be produced.

A similar problem is given at https://brainly.com/question/24705734

what is 5x + 1/10 * 10 if X= 10

Answers

Answer:

501

Step-by-step explanation:

Answer: 51

Step-by-step explanation:

shola earns #750 every month. if she spends 4/5 of her salary and saves the rest, how much does she save every month?​

Answers

Answer:

250

Step-by-step explanation:

Amount she earns = 750

amount she spend = ⅘ of 750 = ⅘×750= 600

amount she saves = 750-600

Shola saves $150 every month.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is multiplied by 3, or 2 is added 3 times.

Given:

Shola earns $750 every month.

She spends 4/5 of her salary.

That means,

4/5 of $750.

And 4/5 of $750 = 4/5 x 750

                            = 4 x 150

                            = 600

She spends $650 per month.

Saved amount,

= $750 - $600

= $150

Therefore, $150 is her monthly savings.

To learn more about the multiplication;

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correct?////////////////

Answers

Answer:

No solution

One solution

Many solutions

One solution

Step-by-step explanation:

Let's use y = mx + b

m = coefficient (or slope)

b = constant ( or y-intercept)

If they have different y-intercepts but they're both rising the same amount there would be no solution because they would never cross

If the slope was different but the same y-intercept they would cross on the y-axis, making them have one solution

Equal coefficients and constants is correct, there would be infinite solutions

Different slopes and different y-intercepts would make them cross randomly one, so one solution

Hope this helped! Comment if it does or not :)

Decide if each statement is true for all values of x.
Choose Yes or No for each statement.
a. If the distance from 0 to x on a number line is equal to 2, then
-2 + x = 0.
b. If the distance from 0 to x on a number line is less than 2, then
-2 + x is negative.
C.
If the distance from 0 to x on a number line is greater than 2,
then -2 + x is positive.
d. If the distance from 0 to x on a number line is greater than 0,
then -2 + x is positive.

Answers

Answer:

a. yes

b. yes

c. yes

d. no

a.

Solve the equation by rearranging

-2 + x = 0

x = 2

b.

If x < 2, x - 2 will always be negative

x - 2 cannot be positive unless you add a number greater than 2, therefore the statement is true

c.

If x > 2, x - 2 will always be positive

d.

If x is only greater than 0, then x - 2 could be positive, negative or 0 depending on if x < 2, x = 2 or if x > 2

These questions can be easily answered through graphing the equation: y = -2 + x, or equivalently, y = x - 2

Which equation represents the proportional relationship displayed in the table?

x | 4, 9, 11, 14.
y | 32, 72, 88, 112.

A) y=8x

B) y=8x+4

C) y=1/8x​

Answers

9514 1404 393

Answer:

  A)  y = 8x

Step-by-step explanation:

For a proportional relationship ...

  y = kx

the constant of proportionality k can be found from ...

  k = y/x

From your table, we find ...

  k = 32/4 = 8

So, the equation represented by the table is ...

  y = 8x

100 points, Please help!

Answers

Answer:

Look if you say 100 points. Give a hundred points. If you want an answer be honest~ and say fifty points

Step-by-step explanation:

1=17

2=97

Answered:

1 = 17

2 = 97

[tex]-12t ² + 40t[/tex]

Answers

Answer:

1.15

Step-by-step explanation:

tan θ=−4/7, and 270°<θ<360°

θ is in 4th quadrant

sec θ = 8.06 / 7 = 1.15

Solve for t in the following equation.
10 + 4–2 = 2–2( + 4)
A. =−1 B. =−35
C. =35

Answers

Answer:

the answer would be 35...

Step-by-step explanation:

Dont know how to explain it on here

Danielle's text messaging plan costs $8 for the first 550 messages and 15¢ for each additional text message. If she owes $8.60 for text messaging in the month of October, how many text messages did she send that month?

Answers

Answer:

Danielle sent 554 text messages that month.

Step-by-step explanation:

In Oct she owed: $8 + 60¢

Because 15¢ = 1 additional message => 60¢ = 4 additional messages

So Danielle sent 550 messages (=$8) and 4 additional messages (=  60¢)

=> She sent: 550 messages + 4 additional messages = 554 messages

Hope this helps!

Find the L.C.M of =
A) 12
B) 1/2
C) 7
D) 24

Answers

Answer:

d.

Step-by-step explanation:

24/(3/4) = 32

24/ (6/5) = 20

24/(4/15) = 90

What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 5 x + 2 y = 14

Answers

Answer:

y=-5/2x-8

Step-by-step explanation:

Please mark as brainliest if correct

The replacement set for an equation is {8, 9, 12, 18}
The equation is represented by the sentence, "2/3 of a number is 12."
What is the solution set of the equation?
O {8}
O {9}
O {12}
O {18}

Answers

Answer:

18

Step-by-step explanation:

The solution set of the equation will be;

⇒ x = 18

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

''2/3 of a number is 12."

Now,

Since, The expression is,

''2/3 of a number is 12."

Let a number = x

So, We can formulate;

⇒ 2/3 of x = 12

⇒ 2/3 × x = 12

⇒ 2x = 12 × 3

⇒ 2x = 36

⇒ x = 36/2

⇒ x = 18

Thus, The solution set of the equation will be;

⇒ x = 18

Learn more about the mathematical expression visit:

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how are planes named in geometry

Answers

A plane is a flat surface that extends infinitely in all directions. ... A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .

Answer:

Step-by-step explanation:

A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .

QUIEN MONDA ME AYUDA A SOLUCIONA'
f(x)=(3x-4x)(-8x² + 3x)
POR FAVOR

Answers

Answer:

- x(- 8x^2 + 3x)

8x^3 - 3x^2

Find the 19th term for the arithmetic sequence in which the 23rd term is 9 and the 11th term is -75 .

A) -19
B) -27
C) 27
D) 19

Answers

Answer:

A) -19

Step-by-step explanation:

Basics first:

An arithmetic sequence progresses with numbers being added or subtracted by a constant value.

After understanding that, as soon as we have any two values of the sequence we can find the constant value which is added or subtracted.

Look:

The 11th term is -75.

12 terms later (23th), the term is 4.

In other words, after "jumping" 12 terms, we went up 84 numbers (75 + 9)

To find the size of each "jump" we just divide the total number variation (84) by the number of jumps (12)

84/12 = 7

Now that we know the size of each jump, we can either jump 4 terms back from the 23rd term or jump 8 terms forward from the 11th term.

I will jump 4 terms back from the 23rd term:

19th term = 23rd term - 4 jumps

19th term = 9 - 4 * 7              //Remember that 7 is the jump size

19th term = 9 - 28

19th term = -19

Answer:

-19

Step-by-step explanation:

I just did the test

Given P(E) = 0.15, what is P(E')?

Answers

Answer:

0.85

Step-by-step explanation:

P(E)+P(E')=1

SO, P(E')=1-P(E)

OR,P(E')=1-0.15

PLEASE MARK MY ANSWER AS BRAINLIEST.

= 0.85

Solve the system of equations.
y = 6x
y= x^2 +5

Answers

You can solve using substitution for system of equations.

So you have
y = 6x
and y = x^2 + 5

But it is also true that
y = y
since they are the same variable.

That means both y value equations are equal too:

y = 6x = y = x^2 + 5
So
6x = x^2 +5

Solve for x.
x^2 - 6x + 5 = 0
Factor to
(x-1)(x-5) = 0
x-1 = 0, x = 1
x-5 = 0, x = 5
So the two x-coordinate values will be (1,y value) and (5,y value)

Now to find y we use the original equations and we plug in the x values we found.

y = 6(1) = 6
y = (1)^2 + 5 = 6
So when x = 1, y = 6,
the coordinate is (1,6)

y = 6(5) = 30
y = (5)^2 + 5 = 30
When x = 5, y = 30
The coordinate is (5,30)

The answer is (1,6) and (5,30), which is A

I have a question here. ​

Answers

9514 1404 393

Answer:

  P(F|A) = 35%

Step-by-step explanation:

P(F|A) = P(F&A)/P(A) = 7%/20% = 0.35

P(F|A) = 35%

_____

The given numbers will let you fill in a table for all of the categories of workers. However, it turns out this question can be answered using only the numbers given in the problem statement.

What is the key feature of simple interest?

Answers

Answer:

When you make a payment on a simple interest loan, the payment first goes toward that month's interest, and the remainder goes toward the principal. Each month's interest is paid in full so it never accrues.

Step-by-step explanation:

An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?

Answers

The relationship between airplane 1 and airplane 2 is an illustration of objective function

14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost

How to determine the number of each type of airplane?

Represent P1 and P2 with x and y, respectively.

From the question, we ave have the following parameters:

                    x             y           Minimum

First class   20          18                400

Tourist        50          30               900

Economy    110          44              1500

Cost        10000      85000

So, the objective cost function to minimize would be:

C = 10000x + 8500y

And the constraints are:

20x + 18y ≥ 400

50x + 30y ≥ 900

110x + 44y ≥ 1500

x, y ≥ 0

Next, we plot the graphs of the constraints

From the graph (see attachment), we have the following feasible solutions

(x,y) = {(4.9,21.8), (8.5,12.7), (14,6.7)}

Substitute these values in the objective function.

C(5,22) = 10000 * 5 + 8500 * 22 = 237000

C(9,13) = 10000 * 9 + 8500 * 13 = 200500

C(14,7) = 10000 * 14 + 8500 * 7 = 199500

The minimum value is:

C(14,7) = 199500

Hence, 14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost

Read more about objective function at:

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