1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marysya12 [62]
3 years ago
11

business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for

$20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450. Write a system of equation to represent this situation, then solve the system of equations to find the number of each item rented.
Mathematics
1 answer:
Degger [83]3 years ago
6 0

Answer:

The number of skates rented are 10 and number of bicycle rented are 15.

Step-by-step explanation:

Given:

Business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450.

Now, to find the number of each item rented.

Let the number of skates rented be x.

And let the number of bicycle rented be y.

So, the owner of the business has total rentals:

x+y=25

x=25-y\ \ \ ......(1)

Now, the total amount it takes:

15(x)+20(y)=450

Substituting the value of x from equation (1):

15(25-y)+20(y)=450\\\\375-15y+20y=450\\\\375+5y=450

<em>Subtracting both sides by 375 we get:</em>

<em />5y=75<em />

<em>Dividing both sides by 5 we get:</em>

y=15.

The number of bicycles rented = 15.

Now, substitute the value of y in equation (1):

x=25-y\\\\x=25-15\\\\x=10.

The number of skates rented = 10.

Therefore, the number of skates rented are 10 and number of bicycle rented are 15.

You might be interested in
Earth has a radius of about 6400 km, the sun has a radius of about 7.0´105 km, and a rubber ball has a radius of 6.4 cm. if you
tresset_1 [31]
<span>700 cm
I might be wrong though
have fun with it</span>
4 0
3 years ago
to make one dozen muffins 3/4 cup of blueberries will be needed how many cups of blueberries ared needed to make 48 muffins ​
Helga [31]
You will need 6/4 or 1 1/2 cups of blueberries to make 48 muffins (2 dozen),
6 0
2 years ago
Read 2 more answers
Need help with this....
Yakvenalex [24]

Answer:

\boxed{\dfrac{f(a+h)-f(a)}{h}=-3a^2-3ah-h^2}

Step-by-step explanation:

f(x)=-x^3+2\\\\\dfrac{f(a+h)-f(a)}{h}\\\\f(a+h)\to\text{substitute x = a + h}\\f(a)\to\text{substitute x = a}\\\\\dfrac{f(a+h)-f(a)}{h}=\dfrac{-(a+h)^3+2-(-a^3+2)}{h}\\\\\text{use}\ (x+y)^3=x^3+3x^2y+3xy^2+y^3\\\\=\dfrac{-(a^3+3a^2h+3ah^2+h^3)+2-(-a^3)-2}{h}\\\\=\dfrac{-a^3-3a^2h-3ah^2-h^3+2+a^3-2}{h}\\\\\text{combine like terms}

=\dfrac{(-a^3+a^3)-3a^2h-3ah^2-h^3+(2-2)}{h}\\\\=\dfrac{-3a^2h-3ah^2-h^3}{h}\\\\=\dfrac{h(-3a^2-3ah-h^2)}{h}\\\\=-3a^2-3ah-h^2

6 0
2 years ago
Pls help if pls do most important 15 number 20 number 26 number 28 number 30 number 17 number 25 number 22 number 24 number if u
Tamiku [17]

Answer:

Step-by-step explanation:

15. \frac{cotx+1}{cotx-1} = \frac{cotx+cotx.tanx}{cotx-cotx.tanx} = \frac{cotx(1+tanx)}{cotx(1-tanx)} = \frac{1+tanx}{1-tanx}   \\

16.  \frac{1+cos\alpha }{sin\alpha } = \frac{sin\alpha }{1-cos\alpha }

=> (1+cos\alpha )(1-cos\alpha ) = sin^{2} \alpha \\=> 1-cos^{2}\alpha =sin^{2}  \alpha \\=> sin^{2}\alpha +cos^{2}\alpha =1\\

=> The clause is correct

17. Do the same (16)

18. \frac{sinx}{1-cosx}+\frac{sinx}{1+cosx} = \frac{sinx(1+cosx) + sinx(1-cosx)}{(1+cosx)(1-cosx)} = \frac{sinx + sinx.cosx + sinx - sinx.cosx}{1-cos^{2}x} = \frac{2sinx}{sin^{2}x }= \frac{2}{sinx} = 2cosecx

19.

\frac{sinA}{1+cosA} + \frac{1+cosA}{sinA}=\frac{2}{sinA} \\=> \frac{sinA}{1+cosA} + \frac{1+cosA}{sinA} - \frac{2}{sinA} \\ = 0\\=> \frac{sinA}{1+cosA} + (\frac{1+cosA}{sinA} - \frac{2}{sinA} \\) = 0\\=> \frac{sinA}{1+cosA} + \frac{1+cosA-2}{sinA} = 0\\=> \frac{sinA}{1+cosA} +\frac{cosA-1}{sinA} = 0\\=> \frac{sin^{2} A+(cosA-1)(1+cosA)}{(1+cosA)sinA}=0\\=> \frac{sin^{2} A+cos^{2} A-1}{(1+cosA)sinA}=0\\=> \frac{0}{(1+cosA)sinA} =0\\

=> The clause is correct

20. Do the same (18)

21. Left = \frac{1}{cosecA+cotA} = \frac{1}{\frac{1}{sinA}+\frac{cosA}{sinA}  } = \frac{1}{\frac{1+cosA}{sinA} }= \frac{sinA}{1+cosA}

Right = cosecA-cotA = \frac{1}{sinA}-\frac{cosA}{sinA}= \frac{1-cosA}{sinA}   \\

Same with (16) => Left = Right => The clause is correct

22. Do the same (21)

Too long, i'm so lazy :))))

5 0
3 years ago
Find the decay factor from the equation y = 453(0.87)^4
dybincka [34]

The decay factor of the equation given in the task content is; 0.87.

<h3>What is the decay factor from the equation?</h3>

According to the task content; the equation given is; y = 453(0.87)^4.

By comparison with exponential decay functions, it follows that the decay factor from the equation given is; 0.87 which insinuates that the factor of change after each decay is 0.87.

Read more on decay factor;

brainly.com/question/1522819

#SPJ1

7 0
2 years ago
Other questions:
  • Rey buys a skateboard for $78.96 and a helmet for $34.75 on tax-free day at sports store. The store check gives Rey a discount o
    9·1 answer
  • Use distributive property to clear parentheses-(3x-4y+5z)=
    9·1 answer
  • The temperature during the month of February was at most 42° Fahrenheit in Manny's town. Which number line represents the possib
    5·1 answer
  • What is 594 divided by 34
    11·2 answers
  • Geometry help please how do I do these?
    10·1 answer
  • Name The constant in the expression <br> 2X^4+3X^3-5X^2-8X+12
    7·1 answer
  • Lara's Inc. Is currently an unlevered firm with 450,000 shares of stock outstanding, with a market price of $15 a share. The com
    5·1 answer
  • Which of the following equations would you use to find the length of LM?
    15·1 answer
  • 12 and 3000 as decimals full equation
    11·1 answer
  • It takes Hoai 20 minutes to walk to his friend's house 7/8 mile away.<br> What is his walking pace?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!