A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski. Write a system of equations that can be used to determine when the cost will be the same, then solve your system.

Answers

Answer 1

Answer: The cost will be same for 6 hours.

Step-by-step explanation:

Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.

Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.

Let x = Number of hours

y = Total cost

Then, Total cost (in $) for first company (y) = 22+3x

Total cost (in $) for second company (y) = 17.50+3.75x

So required system of equations :

y =  22+3x

y= 17.50+3.75x

When the cost will be the same,

22+3x = 17.50+3.75x

⇒ 3x - 3.75x = 17.50- 22

⇒ - 0.75x = -4.5

⇒ x =6  [Divide both sides by -0.75]

Hence,  the cost will be same for 6 hours.


Related Questions

evaluate the expression when a=32 and b=7 a/4 +b

Answers

I believe your answer would be 15:)

pls respond ... 30 points :)

Answers

Answer:

B, 2x^2 - 4x + 8

Step-by-step explanation:

Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:

Length × Width = Area

Given these values, rearrange the formula to find the width:

Width = Area / Length

Then just substitute the values, and

simplify the expression:

Width = (4x^2 - 8x + 16) / 2

Width = 2x^2 - 4x + 8

Answer:

I think its B but dont keep my word as facts thats just what i think hope this helps even a little

Step-by-step explanation:

(−45)(158)(73)(−1)
QUICK

Answers

Answer:

If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.

Step-by-step explanation:

multiplying will get you 519,030 because-45x158= -7,110 and 73x-1=-73 and when you multiply -7,110 and -73 you get positive 519,030 because a negative times a negative equals a positive

1
A recipe for 6 servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings of
pudding?

Answers

Answer:

2 cups

Step-by-step explanation:

18/6 = 3

3 x 2/3 = 6/3

6/3 = 2

Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. How far apart are Jim and Jennifer?How far apart are Jim and Jennifer?

Answers

Answer:

37ft

Step-by-step explanation:

step one;

In this problem, we are expected to solve for the distance between Jenifer and Jim

given that

Jennifer is 29ft above and

Jim is 8ft bellow

step two:

the distance between them can be calculated as

distance= 29+8

distance=37ft

Tylond puts $5,000 into a savings account that earns 4%
simple interest. How much interest does he earn after 3
years?

Answers

Answer:

125,000

Step-by-step explanation:

What's 30% of 40 and how much are you saving

Answers

30% of 40 is 12. What do you mean how much you are saving?

the sum of number and 12 is 30. determine the number

Answers

Answer:

42

Step-by-step explanation:

if I'm understand the question you add 12 and 30

Are these expressions equivalent?
yes or no

Answers

Answer:

yes they are equivalent

The price of a car decreases by 35% to £13000.
What was the car worth before the decrease?

Help

Answers

Answer:

€20,000

Step-by-step explanation:

% decrease = (original price of the car - new price) ÷ original price × 100

Let "x' represents the original price before the decrease.

New price = €13,000

% decrease = 35%

Plug in the values into the equation

[tex] 35 = \frac{x - 13,000}{x}*100 [/tex]

[tex] 35 = \frac{100x - 1,300,000}{x} [/tex]

Multiply both sides by x

[tex] 35*x = \frac{100x - 1,300,000}{x}*x [/tex]

[tex] 35x = 100x - 1,300,000 [/tex]

Subtract 100x from both sides

[tex] 35x - 100x = 100x - 1,300,000 - 100x [/tex]

[tex] -65x = -1,300,000 [/tex]

Divide both sides by -65

[tex] \frac{-65x}{65} = \frac{-1,300,000}{65} [/tex]

[tex] x = 20,000 [/tex]

The car was worth €20,000 before the decrease.

A shopekeeper sells one machine for 990 rupees at profit 10% and another machine for 1960 rupees at loss of 2% what is his gain or loss percentage​

Answers

Given:

SP of a machine = Rs. 990

Profit% = 10 %

SP of other machine = Rs. 1960

loss% = 2 %

Find:

his gain or loss percentage​

Solution:

We know that,

CP * (100 + profit%)/100 = SP

So,

First machine :

CP * (100 + 10)/100 = 990

⟹ CP = 990 * 100/110

⟹ CP = Rs. 900

Second machine :

We know that,

CP * (100 - loss%)/100 = SP

⟹ CP * (100 - 2)/100 = 1960

⟹ CP = 1960 * 100/98

⟹ CP = Rs. 2000

Now,

We have to find the total loss or profit percentage.

Total SP = 990 + 1960 = Rs. 2950 Total CP = 900 + 2000 = Rs. 2900.

We observe that,

SP > CP.

so, a gain is occured.

gain % = gain/CP * 100

gain = SP - CP

So,

gain% = (2950 - 2900)/2900 * 100

⟹ gain% = 50/29

⟹ gain% = 1.72 %

∴ A gain of 1.72% is occured in the whole transaction.

I hope it will help you.

Regards.

Answer:

HELLO SISO❤

IT'S ME YIREN

Step-by-step explanation:

→ CP of machine = (SP * 100) / (100 + Profit%) = (990 * 100) / (100 + 10) = (990 * 100) / 110 = Rs. 900 . Case 2) :- shopkeeper sells another machine for Rs. 1960 at a loss of 2%

Two cars start at the same point and travel in opposite directions. The first car travels 15 miles per hour faster than the second car. In 4 hours, the cars are 300 miles apart. Use the formula below to determine the rate of the second car. 4(r + 15) + 4r = 300 What is the rate, r, of the second car? Solve for r.

Answers

Answer:

The rate of the second car is 30 miles/hour

Step-by-step explanation:

The Given formula is:

4(r + 15) + 4r = 300, where r is the rate for the second car

Let us solve the equation to find r

→ Multiply 4 by (r + 15) first

∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60

→ Substitute it in the equation above

∴ 4r + 60 + 4r = 300

→ Add the like terms in the left side

∵ (4r + 4r) + 60 = 300

∴ 8r + 60 = 300

→ Subtract 60 from both sides

∴ 8r + 60 - 60 = 300 - 60

∴ 8r = 240

→ Divide both sides by 8

∴ [tex]\frac{8r}{8}=\frac{240}{8}[/tex]

r = 30

The rate of the second car is 30 miles/hour

704% into a fraction

Answers

Answer:

7 4/100

Step-by-step explanation:

[tex] \green {\boxed{Answer}}[/tex]

[tex] = 704\%[/tex]

[tex] = \frac{704}{100} [/tex]

[tex] = \frac{704 \div 4}{100 \div 4} [/tex]

[tex] = \frac{176}{25} [/tex]

[tex] = 7 \frac{1}{25} [/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

15. The length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is
about 100 times longer than Yvette's cell phone screen. What is the approximate
length of the movie theater screen?

Answers

Answer:

it would 35 feet long 100x0.35

The length of the movie theater will be 35 feet.

What is algebraic expression?                      

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, we can write the expressions as -

2x + 3y + 5

3y + 5

5 + 6

Given is that the length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is about 100 times longer than Yvette's cell phone screen.

Scale factor is defined as the ratio of final dimensions to the initial dimensions of the given image.

Mathematically, we can write -

{K} = final dimensions/initial dimensions

In the question given, the scale factor is -{K} = 100.

Assume the length of the movie theater to be {x}. So, we can write -

{x} = 0.35 x 100

{x} = 35/100 x 100

{x} = 35 feet

Therefore, the length of the movie theater will be 35 feet.

To solve more questions on algebraic expression , visit the link below -

brainly.com/question/27911936

#SPJ6

What is -14x+28+6x=-44 and show your work pls and thankyou.

Answers

Answer:

x=2

Step-by-step explanation:

-14x+28+6x=-44

-8x+28=-44

-8x= -16

x=2

combine like terms

-8x+28 = -44

subtract 28 from both sides

-8x = -72

divide both sides by -8

x = 9

(03.02 LC)
ABCD is a rectangle. What is the value of x?
A
56 m
B
65 m
xm
D
C

Answers

Bbbbbbbbbbbbbbbbbbbbbbb

The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).

Convert 50°C to °F.

Answers

Answer: 122°F

Step-by-step explanation:substitute 50°C anywhere in the formula that has the C

how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST

Answers

Answer:

5

Step-by-step explanation:

need help asapp I'll brainlist u once u finish !!​

Answers

Answer:

-3*-6*2^2+1

18*4+1

72+1

73

Step-by-step explanation:

2(5*-6*2-3)

2(-30*-1).

2*30

60

4*-6^2*2+2/10

4*36*2+2/10

4*72+2/10

288+2/10

290/10

29

9(-6-2^2)/6

9(-6-4)/6

9*10/6

90/6

15

The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.

Answers

Answer:

Option: D is the correct answer.

D) 20.455 <= X <= 20.545

Step-by-step explanation:

We are given The ideal length of a particular metal rod is 20.5 cm.

It is given that:

The measured length may vary from the ideal length by at most 0.045 cm.

By atmost we mean either less than or equal to that amount but not more than that.

It means that:

|X-20.5|≤ 0.045

⇒  -0.045  ≤ X-20.5 ≤ 0.045

⇒    -0.045+20.5 ≤ X ≤ 20+0.045

⇒   20.455 ≤ X ≤ 20.545.

Hope this helped! <3

Cindy can waterproof 400 ft2 of decking with 2 gallons of sealant. How many gallons should Florence buy for a 1200 ft2 deck?
Group of answer choices

Answers

400*3=1200
2*3=5
Answer is 6 gallons

Florence should buy 6 gallons of sealant for 1200 ft² of decking.

What is a Ratio?

A ratio indicates the number of times one number contains another.

Given that, 400 ft² of decking requires 2 gallons of sealant.

400 ft² = 2 gallons

400 ×3 ft² = 2 × 3 gallons

1200 ft² = 6 gallons

Hence, Florence should buy 6 gallons of sealant for 1200 ft² of decking.

To learn more about ratios, click here:

https://brainly.com/question/13419413

#SPJ2

The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease

Answers

Answer: 50%

Step-by-step explanation: math

Pictures, x
5
6 7
8
Profit, y
20
24
28
32
whats the fraction after being simplifyed?

Answers

Wat fraction post a pic of the problem

_____ the
clauses in the original

Answers

What do you want to say??

WHAT IS THE LAST SENTANCE FOR DESPASITO IN ENGLISH!!!!!!!!!!!!!!11

Answers

Ojhhha amhenamajaja a Jajajaja and

A camp counselor has a list of 134 campers who signed up for art class. The counselor can place 8 students in each class. How many classes does the counselor need to have?

Answers

Answer:

17

Step-by-step explanation:

the answer would have been 16.75 but you cant divide a class, so you round up.

Please help!! not sure if this is right :(

Answers

Answer:

Your answer is correct.

Step-by-step explanation:

WILL GIVE BRAINLIEST!!!!!!
Write a paragraph explaining the development and impact of the Atlantic slave trade on West Africa

Answers

Answer:

this isn't a social studies stream

ask the question again but in a social studies thingy

solve for x
1/5x+24=50
0.4x+18=-13
3x-5/6=1/6
plz awnser as soon as possible this homework i sue by 11:00 and there are more problems

Answers

Answer:

x=130, x=-77.5, x=1/3

Step-by-step explanation:

1st equation:

1/5x + 24 = 50

1/5x = 26

x = 26(5)

x = 130

2nd equation:

0.4x + 18=-13

0.4x = -31

x=-77.5

3rd equation:

3x - 5/6 = 1/6

3x = 1

x=1/3

The believe the answer would be x=130,x=-77.5,x=1/3 :)

Determine which product has the lower unit price one gallon of orange juice for $3.49 or B a half gallon of orange juice for $1.70

Answers

I think that the half gallon of orange juice has a lower unit price
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