Linear Equation Word Problems

The Bike Rental Shop charges $12 plus $9 an hour for renting a bike. Darnell paid $57 to rent a bike. How many hours did he pay to have the bike checked out?

Answers

Answer 1

Answer: 5 hours.

Step-by-step explanation: First you need to subtract the $12 fee from the total to find out how many hours he paid for. 57-12=45. So if he paid $45 at $9 per hour, 45 divided by 9 equals 5.


Related Questions

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The function f(x)=(1-x)^2-4 is decreasing only throughout the interval:

Answers

The function f(x)=(1-x)^2-4 is decreasing only throughout the interval is

-∞ < x < 1.

Given function:

f(x)=(1-x)^2-4

= 1 + x^2 - 2x - 4

= x^2 - 2x - 3

for decreasing:

f'(x) ≤ 0

2x - 2 - 0 ≤ 0

2x -2 ≤ 0

2x ≤ 2

x ≤ 1

-∞ < x < 1.

Therefore The function f(x)=(1-x)^2-4 is decreasing only throughout the interval is -∞ < x < 1.

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can some pls help me with this

Answers

The answer is B; x=k-14/5

Bria and April were comparing text messages during lunch. April sent 20 messages today. April sent one fourth the amount of text messages sent by Bria. write a equation to determine how many text messages Bria sent.​

Answers

answer:

0.25 (or 1/4) x 20 = 5

step-by-step explanation:

math. 0.25x20 = 5

What number needs to be added to this set of numbers so the mean is 6? {3,4,7}

Answers

The finalized set is { 3 , 4 ,7 , 10 }

How is mean calculated ?

Only numerical variables, whether continuous or discrete, can be used to calculate the mean. It is calculated by merely dividing the total number of values in a data set by the sum of all the values in the data set.

The given set is {3,4,7}

3 + 4 + 7 =14

To calculate the mean we divide the sum by the number of numbers present

So we must add 10

because if we add 10 to the set we get

3 + 4 + 7 + 10= 24

Thus the mean = [tex]\frac{24}{4}[/tex]

When we divide these two numbers we get :

mean = 6

Thus the finalized set is { 3 , 4 ,7 , 10 }

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Jeremy has 2 bags with 3 marbles in each bag

Answers

Answer:

then he has 6 marbl3s total.

Nachelle has a points card for a movie theater.
She receives 50 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 170 points for a free movie ticket.

Write and solve an inequality which can be used to determine vv, the number of visits Nachelle can make to earn her first free movie ticket.

Answers

Answer: Nachelle needs 10 visits in order to get her first free movie ticket.

Step-by-step explanation:

#=number

Identify what is in the inequality

Nachelle gets 50 points when signing up: 50+#x=#

Nachelle earns 12.5 points for each visit: 50+12.5x=#

Nachelle need at least 170 points: 50+12.5x=170

Now you have your inequality, solve.

Subtract 50 from both sides: 50-50+12.5x=170-50

50-50 cancel out so now your left with 12.5x=170-50

Subtract the 170 and 50: 12.5x=120

Divide 12.5 from both sides: 12.5x÷12.5=120÷12.5

12.5x÷12.5 cancel out so the inequality is now x=120÷12.5

Divide 120 and 12.5: x=9.6

Since there is no such thing as 9.6 visits, round to 10.

Answer: Nachelle needs 10 visits in order to get her first free movie ticket.


Tell whether the relation, represented by the ordered pairs below, represents a function. Explain.
{ (-2, 4), (-1, 3), (0, 2), (-2, 0), (1, 1)

Answers

The relation represented by the ordered pair is not a function

How to determine the relation that is a function?

The given parameter is represented as

{(-2, 4), (-1, 3), (0, 2), (-2, 0), (1, 1)}

As a general rule;

For a relation to be considered a function, the following must be true:

One x value must not point to several y values

Using the above as a guide, the ordered pair in the relation are not functions

This is because one x value must not point to several y values

Hence, (d) the ordered pair is not a function

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what's 182.91% as a decimal

Answers

Answer:

1.8291

Step-by-step explanation:

182.91% as a decimal is: 1.8292

Help Plssss!!!!!!!!!!

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Because lines A and B are parallel, there are things called vertical angles which means that if it forms an X shape opposite sides of the x are equal which means the measure of angle 2 is 50

Find the quotient.
(2x4 – 3x3 – 6x2 + 11x + 8) ÷ (x – 2)

Answers

Quotient is 2x³ +x² -4x+3 for (2x⁴ – 3x³ – 6x² + 11x + 8) ÷ (x – 2)

What is Division?

A division is a process of splitting a specific amount into equal parts.

(2x⁴ – 3x³ – 6x² + 11x + 8) ÷ (x – 2)

Let f(x)=2x⁴ – 3x³ – 6x² + 11x + 8

and g(x)=x-2

We need to divide the f(x) by g(x),

f(x)=g(x)× (2x³ +x² -4x+3)+16

If we equate the above equation with division algorithm which says,

a=bq+r

f(x)=g(x)q(x)+r(x)

so quotient is 2x³ +x² -4x+3

Hence quotient is 2x³ +x² -4x+3 for (2x⁴ – 3x³ – 6x² + 11x + 8) ÷ (x – 2)

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David works as a salesman and earns a basic salary of Rs 16 000 per month plus 8 % commission on his sales. If his total sales were rs 55 000 during last month, find his earnings for that month.

Answers

Answer:

$20400

Step-by-step explanation:

8 percent *55000 =

(8:100)*55000 =

(8*55000):100 =

440000:100 = $4400

16000+4400 =$20400

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The number of integers between 1 and 2022 inclusive that are multiples of 11 but not multiples of 3 is

Answers

The number of integers between 1 and 2022 inclusive that are multiples of 11 but not multiples of 3, using arithmetic sequences, is of:

122.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the rule presented as follows:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term of the arithmetic sequence.

The sequence composed by the integer multiples of 11 between 1 and 2022 are given as follows:

(11, 22, ..., 2013)

The first term and the common ratio of the sequence are given as follows:

[tex]a_1 = 11, d = 11[/tex]

The number of terms is obtained as follows:

2013 = 11 + 11(n - 1)

11n = 2013

n = 2013/11

n = 183.

The sequence composed by terms that are multiples of 11 and of 3 is given by:

(33, 66, ..., 2013).

The first term and the common ratio of the sequence are given as follows:

[tex]a_1 = 33, d = 33[/tex]

The number of terms is obtained as follows:

2013 = 33 + 33(n - 1)

33n = 2013

n = 2013/33

n = 61.

Hence the number of integers that are multiples of 11 but not 3 is given by:

183 - 61 = 122.

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Write an equation for the translation of y = 4/x that has asymptotes at x = - 3
x and y = - 4.

Answers

Equation for the translation of y=4/x that has the given asymptotes.

x = -3 and y = -4 is y = [tex]\frac{4}{x+3} -4[/tex]

Given,

In the question:

The translation of y = 4/x  that has asymptotes at x = - 3 and y = - 4.

Write an equation:

Now, According to the question:

What is asymptote?

A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar settings.

According to the above statement:

The equation will be :

y = [tex]\frac{4}{x+3} -4[/tex]

Hence, Equation for the translation of y=4/x that has the given asymptotes.

x = -3 and y = -4 is y = [tex]\frac{4}{x+3} -4[/tex]

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A rival company offers you an annual salary of $36,000.Except for the pay, everything is identical between the companies. Do you accept or reject the rival company's offer, and why?

Answers

I will have to reject the offer of the rival company since it's lesser than $40560.

How to calculate the amount

From the information, the person works a basic week of 40 hours and the basic rate is $19.50 per hour. It should be noted that there are 52 weeks in a year. The total amount will be:

= 40 × 19.50 × 52

= $40560

The rival company offers you an annual salary is $36000.

I'll reject the rival company's offer since it's lower.

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Complete question

You work a basic week of 40 hours and your basic rate is $19.50 per hour. A rival company offers you an annual salary is $36.000. Except for the pay, everything is identical between the conpanies. Do you accept or reject the rival company's offer, and why?

Find the next two terms in this
sequence.
1, -3, 9, -27, 81, [ ? ],

Answers

Answer:

-243, 729

Step-by-step explanation:

[tex]f(x) = {( - 3)}^{x} [/tex]

x = 0, 1, 2, 3, .....

[tex]f(5) = {( - 3)}^{5} = - 243[/tex]

[tex]f(6) = {( - 3)}^{6} = 729[/tex]

What kind of transformation is illustrated in this figure?
O rotation
O dilation
O translation
O reflection

Answers

Answer:

dilation (sorry if i got it wrong im trying my best)

Answer:

Rotation

Step-by-step explanation:

It is rotated 180° at a point (which u could draw line of each object with its respective image to find the rotation point)

Determine the new coordinate location after (-3,7) on the graph y=-x^2 has undergone the following transformation: A reflection in the x axis followed by a vertical translation of 4 units up. What is the new coordinate?

Answers

Check the picture below.

notice the point, reflected over the x-axis and then shifted upwards, notice the parabola mentioned above, nowhere near it.

In the first week of​ July,1,020 a record people went to the local swimming pool. In the second​ week, 125 fewer people went to the pool than in the first week. In the third​ week, 145 more people went to the pool than in the second week. In the fourth​ week, 175 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

The percent decrease in the number of people who went to the pool over these four weeks is 15.2%.

How to calculate the percentage?

The change regarding the people at the swimming pool for the number of weeks will be:

= 1020 - 125 + 145 - 175

= 865

The initial number of people is 1020.

Therefore, the percentage decrease will be:

= Decrease in number / Initial number × 100

= (1020 - 865) / 1020 × 100

= 155/1020 × 100

= 15.2%

The Percentage is 15.2%.

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Whitch set of paper towels is the better buy? 8 rolls for $8.73 or 14 rolls for $12.32?

Answers

14 for 12.32. Divide

jack and bob leave their houses at 10:00 am walking toward each other. they meet at 10:30 am. if their houses are 7km apart, and jack is walking at 8 km/h , find bobs rate
URGENT

Answers

Bob is walking at the rate of 6 kilometer per hours

Jack and Bob leave their houses at 10:00 am walking toward each other and they meet at 10.30 am.

The distance between two houses = 7 kilometer

The speed of the Jack = 8 kilometer per hour

The distance traveled by Jack in 30 minutes = 8 / 2

= 4 kilometer

The remaining distance = 7 - 4

= 3 kilometer

Bob traveled 3 kilometers in 30 minutes

Then the speed of the Bob = 3 × 2

= 6 kilometer per hour

Hence, the Bob is walking at the rate of 6 kilometer per hours

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The numbers 2.8888..... and 2.99999...... are both rational numbers. What is an irrational number that is between the two rational numbers?

Answers

Answer:Anything between the square root of 8.36 and 8.99

Step-by-step explanation:

Any of the square roots of the number above are between 2.8 repeating and 2.9 repeating.

Simplifying Square Roots of Negative numbers

Answers

Answer:

10i

Step-by-step explanation:

using the fact that [tex]\sqrt{-1}[/tex] = i , then

[tex]\sqrt{-100}[/tex]

= [tex]\sqrt{100(-1)}[/tex]

= [tex]\sqrt{100}[/tex] × [tex]\sqrt{-1}[/tex]

= 10 × i

= 10i

= 0 + 10i ← in standard form

HELP ME ASPPP PLEASE SHOW UR WORK PLEASE

Answers

Answer: -9

Step-by-step explanation:

I hope this helps !!!

FLOWERS The number of tulips in Paula's garden is 8 less than the number of marigolds. If there are 16 tulips, write and solve an equation to determine the number of marigolds m.​

Answers

The number of marigold in the garden of Paula is 24.

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of marigold be m.

In this case, the number of tulips in Paula's garden is 8 less than the number of marigolds. The number of marigold will be:

m - 8 = 16

m = 16 + 8.

m = 24

The number of marigold is 24.

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which statistics about older workers are true?

Answers

Answer:Older workers are staying in the workforce longer.

Step-by-step explanation: I had the same question as you it should be right.

Help.

What would the graph look like if all of your classmates
points were shown along with yours?

Answers

Answer: 5

Step-by-step explanation:

Express using exponents and simplify any numerical coefficients: w · w · w

Answers

Answer:

w to the power of 3 or w^3

Step-by-step explanation:

For example, plug in a number for the variable given, and in this case, I used the number 2. When using the number 2, the question would become 2 * 2 * 2. It would be simplified as 2 to the power of 2 to the power of 3. That's how I got the answer of w to the power of 3.

Nelson’s birthday party will be at the skating rink. The cost for each person is $ 25 . The cost of the room for the party is $ 50 . The function C ( x ) = 25 x + 50 models the total cost, C , where x is the number of people at the party. What is the maximum number of people who can be at the party for a budget of $ 600 ?

Answers

Answer:

24 people

Step-by-step explanation:

600 = 25x + 50  Subtract 50 from both sides of the equation

550 = 25x  Divide both sides by 25

24 = x

Answer: x = 22

Step-by-step explanation:

We need to use trial and error for this.

20 - 25 seems like a reasonable range to substitute x with.

C(20) = 25(20) + 50

C(20) = 500 + 50

C(20) = 550.

This means that 20 is not the answer. Let's try 21.

C(21) = 25(21) + 50

C(21) = 525 + 50

C(21) = 575.

This means that 21 is also not the answer. let's try 22.

C(22) = 25(22) + 50

C(22) = 550 + 50

C(22) = 600.

This means that 22 is the maximum number of people for a budget of $600.

x = 22

Antonio is ready to move out of his parent's house and live on his own. He found a great apartment that has all utilities included. His job as an assistant plumber requires him to have a car, but his hours are flexible enough to give him time on the weekends to have fun with his friends. What is the best way Antonio's budget can be modified to help him save enough for the $200 down payment and make the $500 monthly rental payment?
Monthly Budget
Old Budget
New Budget
Income
Wages
$1500
$1500
Expenses
Food
Cell Phone
Savings
Entertainment
Car Expenses
.
$250
$175
$200
$200
$300
.
$____
$____
$____
$____
$____
Net Income
$375
$____

a.
Antonio could keep his budget the same and hope he gets a raise at work.
b.
Antonio could reduce his monthly entertainment expenses by $100 to help pay the monthly rent. He could take $200 out of savings once for the deposit.
c.
Antonio could live at his parent’s house for one more month and save his net income. After one month of living at home, he would have enough additional money for the deposit and one year’s rent at the apartment.
d.
Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit.



Please select the best answer from the choices provided


A
B
C
D

Answers

The best way Antonio's budget can be modified to help him save enough is D. Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit

What is a budget?

A budget is an estimate of revenue and expenses for a given period of time that is usually compiled and re-evaluated on a regular basis. A budget expresses intended expenditures as well as recommendations for how to meet them with resources.

Saving is the portion of one's income that is not spent on current expenses. In other words, it is money set aside for future use rather than being spent immediately. An expense is a cost incurred by businesses in the course of their operations. Wages, salaries, maintenance, rent, and depreciation are expenses.

In this case, the way to reduce the budget is illustrated.

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What is the slope of the line?
4x -1 =3y + 5
Choose 1 answer:
B
413
2/3
32
314

Answers

First, change it to match the base equation y = mx + b

3y = 4x - 6
y = 4/3x - 2

In the base equation, m is the slope. The m in this specific line equation would be 4/3

Slope: 4/3

Answer:

4/3

Step-by-step explanation:

so in y=mx+b form.

m=slope b=y-int

Subtract 5 from both sides to isolate y on a side.

4x-6=3y

Divide both sides by 3 to isolate y on one side.

(4/3)x-2=y

y=(4/3)x-2

m=4/3

b=-2

So the slope is 4/3

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