Question about SoftMath Algebrator - Algebra Homework Solver (689076614429)

A tennis club offers 2 payment option:

Option1: $42 monthly fee plus $5/hour for court rental

Option 2: No monthly fee but $8.50/hour for court rental.

Let x=hours per month of court rental time.

Write a mathematical model representing the total monthly cost, C, in terms of x for the following:

Option 1: C=

Option 2: C=

Mathematical Model for the problem:-

Option1: C=42+5*x

Option2: C=0+ 8.5*x

Thanks

Zulfikar Ali

ali_zulfikar@yahoo.com

09899780221

Posted on Feb 06, 2009

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Posted on Jan 02, 2017

Well you subtract one from the other, remembering that 2 minuses make a plus, so

8 - (-5) = 13

You can do it this way

-5 - 8 = -13 which some would view as better, because it implies that the second number, -5, is less than the first.

8 - (-5) = 13

You can do it this way

-5 - 8 = -13 which some would view as better, because it implies that the second number, -5, is less than the first.

Sep 10, 2014 | Mathsoft StudyWorks! Mathematics Deluxe...

Let m represent the subscription rate for a man, and w the subscription rate for a woman.

m/w=4/3, or** m=(4/3)w**.

2 men and 5 women paid 460. Thus

**2m+5w=460.**

Substitute**(4/3)w** for **m**, in **2m+5w=460**.

This gives an equation in the unknown w. Solve for w

2(4/3)w +5w=460 or (23/3)w=460.**Answer is w=60**

Use this value in the relation m=(4/3)w to get m=80.

**Check m/w=80/60=4/3**

m/w=4/3, or

2 men and 5 women paid 460. Thus

Substitute

This gives an equation in the unknown w. Solve for w

2(4/3)w +5w=460 or (23/3)w=460.

Use this value in the relation m=(4/3)w to get m=80.

May 09, 2014 | The Learning Company Achieve! Math &...

Assume that the letter "a" represents the number of 7th graders.

Since there are twice as many 6th graders we can call them "2a".

There are 57 total members, we can make the following statement:

2a + a = 57

We can simplify this to say 3a = 57.

Divide 57 by 3 = 19. (this is the value of "a")

There are 19 seventh graders and 19 x 2 sixth graders or 38.

38 + 19 = 57

Since there are twice as many 6th graders we can call them "2a".

There are 57 total members, we can make the following statement:

2a + a = 57

We can simplify this to say 3a = 57.

Divide 57 by 3 = 19. (this is the value of "a")

There are 19 seventh graders and 19 x 2 sixth graders or 38.

38 + 19 = 57

Sep 20, 2013 | M2K Garfield: It's All About Math Math...

Total Surface Area

The total surface area is made up of three pairs of sides for a total of six sides.

We must find Areahw, which is the area of the side that is h by w.

Areahw = (h)(w)

We must find Areahl, which is the area of the side that is h by l.

Areahl = (h)(l)

We must find Areawl, which is the area of the side that is w by l.

Areawl = (w)(l)

Each of the above areas are present on two sides of the box. So, the total surface area is sum of twice each of these areas, that is:

Total Surface Area = 2(Areahw) + 2(Areahl) + 2(Areawl)

Example:

Let h = 3 cm, w = 5 cm, l = 8 cm

Areahw = (h)(w) = (3 cm)(5 cm) = 15 cm2

Areahl = (h)(l) = (3 cm)(8 cm) = 24 cm2

Areawl = (w)(l) = (5 cm)(8 cm) = 40 cm2

Total Surface Area = 2(Areahw) + 2(Areahl) + 2(Areawl)

Total Surface Area = 2(15 cm2) + 2(24 cm2) + 2(40 cm2)

Total Surface Area = 30 cm2 + 48 cm2 + 80 cm2

Total Surface Area = 158 cm2

Aug 04, 2011 | Educational & Reference Software

This is a mathematical notation for a function of a variable x.

Let there be two quantities say the number of hours worked per week (x) and the salary you get paid (y).

The number of hours you work is the independant variable. The salary paid is the dependant variable.

For each amount of hours you work, your boss calculates the salary that is owed you at the end of the week. The method your boss uses to calculate your salaray is the function.

Symbolically, this can be represented as

Salary ($)=f(hours vorked) or

y=f(x)

For example: if the hourly rate is 8$/h and you work 35h then what is owed you is

35h*8$/h=280$

If you work more hours you will get more pay and if less hours, less pay

The rule is y=8*x

Let there be two quantities say the number of hours worked per week (x) and the salary you get paid (y).

The number of hours you work is the independant variable. The salary paid is the dependant variable.

For each amount of hours you work, your boss calculates the salary that is owed you at the end of the week. The method your boss uses to calculate your salaray is the function.

Symbolically, this can be represented as

Salary ($)=f(hours vorked) or

y=f(x)

For example: if the hourly rate is 8$/h and you work 35h then what is owed you is

35h*8$/h=280$

If you work more hours you will get more pay and if less hours, less pay

The rule is y=8*x

Jun 16, 2010 | Vivendi Excel@ Mathematics Study Skills...

For this type of problem, a equals the constant cost of operation (monthly rent..etc) and b equals the cost to manufacture the items.

first equation: 320 = a + b(10)

second equation: 520 = a +b(20)

320 = a + 10b

520 = a + 20b subtract equation 2 from equation 1

-200 = -10b divide by -10

20 = b plug b into one of the equations

320 = a +(20)(10) multiply

320 = a +200 subtract 200

120 = a

Let me know if i need to explain further.

first equation: 320 = a + b(10)

second equation: 520 = a +b(20)

320 = a + 10b

520 = a + 20b subtract equation 2 from equation 1

-200 = -10b divide by -10

20 = b plug b into one of the equations

320 = a +(20)(10) multiply

320 = a +200 subtract 200

120 = a

Let me know if i need to explain further.

Dec 29, 2009 | Mathsoft StudyWorks! Mathematics Deluxe...

Let x = the width of the women's court. Then 2x is the length of the women's court.

the area of the womens court is x times 2x = 2x^2

the length of the mens court is 4 ft longer than the women's or 2x + 4

The width of the men's court is 5 ft wider than the womwn's or x + 5

The are of the mens court is 650 square feet larger that the womens so we have to add 650 to the area of the womens court so the men's and women's will be equal

Now we have area of the women's court = area of the men's court

2x^2 + 650 = (x + 5) (2x + 4) = 2x^2 + 14x + 20

The x^2 cancel out and we are left with 14X + 20 + 650 solving for x we get x = 45

Plugging x back into the length and width equations we get the length is 94 and the width is 50

Hope this helped

Good luck Loringh

the area of the womens court is x times 2x = 2x^2

the length of the mens court is 4 ft longer than the women's or 2x + 4

The width of the men's court is 5 ft wider than the womwn's or x + 5

The are of the mens court is 650 square feet larger that the womens so we have to add 650 to the area of the womens court so the men's and women's will be equal

Now we have area of the women's court = area of the men's court

2x^2 + 650 = (x + 5) (2x + 4) = 2x^2 + 14x + 20

The x^2 cancel out and we are left with 14X + 20 + 650 solving for x we get x = 45

Plugging x back into the length and width equations we get the length is 94 and the width is 50

Hope this helped

Good luck Loringh

Oct 03, 2008 | Educational & Reference Software

Hi, I was the one who was suggesting $98.60 . Are you doing the Mathematics course with ICS/Education Direct as well?

Jul 09, 2008 | M2K Garfield: It's All About Math Math...

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