A business rents in-line skates and bicycles. During one day, the business has a total of 26 rentals and collects $485 for the rentals. If in-line skates are rented for $10 per day and bicycles are rented for $35 per day, find the number of pairs of stakes rented and the number of bicycles rented.

Answers

Answer 1
Answer:

A business rents in-line skates and bicycles.

During one day the business has a total of 26 rentals and;

Collects $485 for the rentals.

In-line skates are rented for $10 per day and;

Bicycles are rented for $35 per day.

Solution:

Let the number of in-line skates rented be x and;

The number of bicycles rented be y.

x + y = 26 ... (i)

10x + 35y = 485 ... (ii)

This forms a system of linear equations (i) and (ii)

Solving this system by elimination;

We multiply (i) by 10 and (ii) by 1

10x + 10y = 260 ... (i)

10x +35y = 485 ... (ii)

Subtracting (ii) - (i) gives;

25y = 225 , y = 225/25 = 9

x = 26 - 9 = 17

The number of in-line skates rented were 17.

The number of bicycles rented were 9.


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Last Question PLZ HELP ASAPWhat is the range of the relation?

Coordinate Grid



A.
{–3, –2, 0, 2}

B.
{–3, 3}

C.
{–4, –2, 1, 2}

D.
{–4, –3, –2, 1, 0, 2}

Answers

The range is all the y-values.

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

These points are all in the form of (x,y)

The y-coordinates make up the range.

The range is {-3, -2, 0, 2}.

Your answer is A.

Shaniqua's bedroom is 12.6 feet long and 8 feet wide. She wants to put a 1 foot high wallpaper border around the room and cover the floor with carpet. How many feet of wallpaper does she need, and how many square feet of carpet?

Answers

Answer:

41.2 feet of wallpaper

100.8 square feet of carpet

Step-by-step explanation:

The wallpaper is going to be around all the four walls of the bedroom and to know how many feet of wallpaper we know that the bedroom is:

12.6 feet long and 8 feet wide.

So two walls are 12.6 feet and two are 8 feet, so we have to add the total of feet the perimeter of the bedroom is:

12.6+12.6+8+8 = 41.2 feet of wallpaper.

With the carpet, we need to know the area of the room because it will be on the floor. The formula for the area of a rectangle is:

A=L*W

where:

A is area

L is length

W is wide

Now we will substitute the data we have in the formula:

A = 12.6 * 8

A = 100.8 square feet of carpet.

carpet: 100.8 sq feet of carpet
wallpaper: 101 feet of wallpaper

How do you write 17.009 in word form

Answers

17.009 in word form is
seventeen and nine thousandths.

Hope this helped! :))
seventeen point zero zero nine or seventeen and nine thousandths

3. Ben earns $1200 each summer and puts the money in a savings account with a 4% simple interest rate. If he deposits the same amount each year, how much money will he have at the end of his third summer?(Points : 1)
$4770
$3744
$3175
$2850


Question 4. Josh earns $2700 each summer and puts the money in a savings account with a 4.5% simple interest rate. If he deposits the same amount each year, how much money will he have at the end of his third summer?
(Points : 1)
$4770
$8464.50
$9125.70
$12,850


Question 5. Emily deposits $14,500 each year into a retirement account with a 7% simple interest rate. If she deposits the same amount each year, how much money will she have at the end of her fourth year?
(Points : 1)
$17,545
$48,045
$64,090
$75,780

Answers

Answer:  The answers are (3). $3744, (4). $8464.50, (5). $62060.


Step-by-step explanation:  The calculations are as follows :

(3) Here, P = $1200, r% = 4%, T=3 years.

Therefore, Simple Interest is given by

S.I.=(PrT)/(100)=(1200* 4* 3)/(100)=144.

So, the amount of money Ben will have at the end of third summer will be

A=3P+144=3* 1200+144=3600+144=3744.

Thus, the amount is $3744.

(4) Here, P = $2700, r% = 4.5%, T=3 years.

Therefore, Simple Interest is given by

S.I.=(PrT)/(100)=(2700* 4.5* 3)/(100)=364.5.

So, the amount of money Josh will have at the end of third summer will be

A=3P+364.5=3* 2700+364.5=8100+364.5=8464.5.

Thus, the amount is $8464.5

(5) Here, P = $14500, r% = 7%, T=4 years.

Therefore, Simple Interest is given by

S.I.=(PrT)/(100)=(14500* 7* 4)/(100)=4060.

So, the amount of money Emily will have at the end of fourth year will be

A=4P+4060=4* 14500+4060=58000+4060=62060.

Thus, the amount is $62060.


3. $3744

4. $8464.50

5. I do not think that the correct answer is in the options provided. 

Substitution for 4x+y=9 and y=-7

Answers


{y=-7

{4x+y=9            Substitute y.


4x+(-7)=9

4x-7=9        /+7

4x=16     /:4

x=4

Solution; (4; -7)

4x + y = 9

y = -7

Plug it in:

4x - 7 = 9

Add 7 to both sides:

4x = 16

Divide 4 to both sides:

x = 4

Plug this back into the equation:

4x + y = 9

4(4) + y = 9

16 + y = 9

Subtract 16 to both sides:

y = -7

So our solution is (4, -7)

What is a related equation to this equation?18/a = 7

A. a = 7/18

B. a + 7 =18

C. a = 18/7

D. a = 18 * 7

Answers

Simple.....

you have (18)/(a) =7

to find what a is....simplify/multiply both sides....

a* (18)/(a) =7*a

simplifying it too....

18=7a

(18)/(7) = (7a)/(7)

(18)/(7) =a

Thus, your answer, C.