A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

Here we will show you step-by-step with detailed explanation how to calculate 48 divided by 32 using long division.

Before you continue, note that in the problem 48 divided by 32, the numbers are defined as follows:

48 = dividend

32 = divisor

Step 1:

Start by setting it up with the divisor 32 on the left side and the dividend 48 on the right side like this:

 3 2 ⟌ 4 8  

Step 2:

The divisor (32) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 3 2 ⟌ 4 8  

Step 3:

Multiply the divisor by the result in the previous step (32 x 0 = 0) and write that answer below the dividend.

       0    

 3 2 ⟌ 4 8  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 3 2 ⟌ 4 8  

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       0    

 3 2 ⟌ 4 8  

     - 0    

       4 8  

Step 6:

The divisor (32) goes into the bottom number (48), 1 time(s). Therefore, put 1 on top:

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

Step 7:

Multiply the divisor by the result in the previous step (32 x 1 = 32) and write that answer at the bottom:

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

      3 2  

Step 8:

Subtract the result in the previous step from the number written above it. (48 - 32 = 16) and write the answer at the bottom.

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

     - 3 2  

       1 6  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 48 divided by 32 calculated using Long Division is:

1

16 Remainder

Answer:

66.25 ft

Step-by-step explanation:

25.5 + 40.75

66.25

They are 66.25 feet away from each other.

Please let me know if I'm wrong!

Answer:

Chair  x₁ = 10

Sofa   x₂ = 18

z(max)  = 2250 $

Step-by-step explanation:

Information:

Operation-Profit             Carpentry         Finishing      Upholstery     Profit

                                           hours                 hours              hours             $

Chair (x₁)                                3                        9                      2                90

Sofa  (x₂)                                 2                        4                     10               75

Objective Function z:

z =  90*x₁ + 75*x₂

Constrains:

1.-66 hours of carpentry available

3*x₁ + 2*x₂ ≤ 66

2.- 180  hours of finishing available

9*x₁  +  4*x₂ ≤  180

3.- 200 hours of upholstery

2*x₁  +  10*x₂  ≤ 200

Model:

z = 90*x₁ + 75*x₂    to maximize

Subject to:

3*x₁ + 2*x₂ ≤ 66

9*x₁  +  4*x₂ ≤  180

2*x₁  + 10*x₂  ≤ 200

x₁ >= 0  x₂ >= 0

From simplex method solver we get the answer

x₁ = 10         x₂  = 18       z = 2250

The linear programming model is:

Represent sofa with y and chairs with x.

The given parameters are:

Carpentry:

[tex]\mathbf{Chair =3\ hours}[/tex]

[tex]\mathbf{Sofa =2\ hours}[/tex]

[tex]\mathbf{Available = 66\ hours}[/tex]

So, we have:

[tex]\mathbf{3x + 2y \le 66}[/tex]

Finishing

[tex]\mathbf{Chair =9\ hours}[/tex]

[tex]\mathbf{Sofa =4\ hours}[/tex]

[tex]\mathbf{Available = 180\ hours}[/tex]

So, we have:

[tex]\mathbf{9x + 4y \le 180}[/tex]

Upholstery

[tex]\mathbf{Chair =2\ hours}[/tex]

[tex]\mathbf{Sofa =10\ hours}[/tex]

[tex]\mathbf{Available = 200\ hours}[/tex]

So, we have:

[tex]\mathbf{2x + 10y \le 200}[/tex]

The profit is given as: $90 per chair, and $75 per sofa.

So, the objective function is:

[tex]\mathbf{Z = 90x + 75y}[/tex]

Hence, the linear programming model is:

Maximize [tex]\mathbf{Z = 90x + 75y}[/tex]

Subject to

[tex]\mathbf{3x + 2y \le 66}[/tex]

[tex]\mathbf{9x + 4y \le 180}[/tex]

[tex]\mathbf{2x + 10y \le 200}[/tex]

[tex]\mathbf{x,y \ge 0}[/tex]

Read more about linear programming model at:

https://brainly.com/question/13720072

Answer:

5 2/5 > 3 1/2. 5 2/5 is greater than 3 1/2

Step-by-step explanation:

Answer:

I believe that 5 2/5 is greater than 3 1/2

Answer:

3

Step-by-step explanation:

Answer:

k = -4

division property

Step-by-step explanation:

Answer:

tuff

guess you will fail

Step-by-step explanation:

Answer:

The umbrella will fit in, but there will be a lot of extra room.

Step-by-step explanation:

Remember the Pythagorean theorem:

x^(2) + y^(2) = n^(2)

where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse

In this problem it is given that the sides (legs) are:

38in, and 24in

and diagonally across is 29in

so the hypotenuse is 29in

therefore we can form the equation:

38^(2) + 24^(2) = 29^(2)

without solving it is clear that

38^(2) + 24^(2) > 29^(2)

because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,

but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room

Answer:

see below

Step-by-step explanation:

The umbrella should fit

The umbrella is the diagonal in a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2

18^2 + 24^2 = c^2

324 + 576 = c^2

900 = c^2

Take the square root of each side

sqrt(900) = sqrt(c^2)

30 =c

As long as the umbrella is less than 30 inches, it should fit

The umbrella is 29 inches so it should fit

5x+6+92 = 22x-4

5x+98 = 22x-4

add 5x to both sides

98 = 27x-4

add 4 to both sides

102 = 27x

divide both sides by 27

x = 3 and [tex]\frac{7}{9}[/tex]

Answer: x=10

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

when we see something like 7x-3=67, we have to get x alone. the first step is to always cancel out the constant (the number that does not have a variable such as x connected to it). so to make -3 equal to 0 we have to add 3. what we do to one side we have to do to the other so after adding 3 on each side we get 7x=70. now here, we still have to get x alone. 7x means 7 times x so to undo this we have to do the opposite and divide each side by 7. 7 divided by 1 (and 1x is 1 times x which is just x so now we have x alone yaay) and 70 divided by 7 is 10. so x = 10.

I hope this helped :))

Answer:

196

Step-by-step explan

Answer:

no

Step-by-step explanation:

Right triangles follow the Pythagorean theorem:

[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}\\18=\sqrt{10^2+15^2} \\18=\sqrt{325} \\18 != 18.0277\\[/tex]

Because this statement isn't true, the side lengths are not for a right triangle.

Answer:

i got 48

Step-by-step explanation:

2(5*2)

2(2*5)

2(2*2)

Answer: 8x + 5= 61

Step-by-step explanation: x represents the cost of one ticket for the show, 8 is the amount of tickets, 5 is the extra fee, 61 is the total.

Answer:

500 students in the school

Step-by-step explanation:

100 - 68% = 32%

boys percentage 68%

girls percentage 32%

difference 68 - 32 = 36% = 180

36 ÷ 18 = 2 × 50 = 100

180 ÷ 18 = 10 × 50 = 500

Answer:

500 students.

Step-by-step explanation:

This a system of equations you could write where t is the total amount of students in the school, b is the number of boys, and g is the number of girls:

0.68t=b

b+g=t

180+g=b

0.68t+g=t

g=0.32t

180+g=b

180+0.32t=0.68t

180=0.36t

t=500

Answer: uh i think its 392 inches squared

Step-by-step explanation:

The volume of the box whose area is 112 inch² and height 3.5 inch is

392 inch³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

The area of the box = 112 inch²

The height of the box = 3.5 inch

Now , the volume of the box is given by the equation

Volume of the box = Area of the box × Height of the box

Volume of the box = 112 inch² x 3.5 inch

Volume of the box = 392 inch³

Therefore , the volume of the box is 392 inch³

Hence , the volume of the box whose area is 112 inch² and height 3.5 inch is 392 inch³

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ2

Answer:

1040

Step-by-step explanation:

just took 65 and mutiply 65$

Answer:

1040

Step-by-step explanation:

just took 65 and mutiply 65$

Answer:

x = 39

Step-by-step explanation:

A circle is made up of 360 degrees

235+ 54+ x+32 = 360

Combine like terms

x+321=360

Subtract 321 from each side

x+321-321 = 360-321

x = 39

Answer:

AB is equal to AD because if you move from A to B, you would have to go 3 points toward the B, and then move one point toward B. Same for D. You must move 3 points toward D, then move one down.

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

2*5=10

3*6=18

6*8=54

8*9=72

Answer:

3^2

Step-by-step explanation:

3x3x3 = 27

Because if you have 3^2 then that is 3 to the power of 2 and 3 to the power of 2 is 27.

Answer:

3 by the power of 2

Step-by-step explanation:

Answer:

D x = 1

Step-by-step explanation:

Ratio of number of classes and the time taken to conduct each one of them on Thursday = 6 : 8

Ratio of number of classes and the time taken to conduct each one of them on Friday = c : 4

Which means :-

6 : 8 :: c : 4

6/8 = c/4

= 6 × 4 = c × 8

= 24 = 3 × 8

c = 3

The ratio = 6 : 8 :: 3 : 4

Which means that C = 3 .

Step-by-step explanation:

1. By assigning women at random. It would make these 2 groups comparable abc the result from the research or investigation would be more useful and valid. It is very important that there are two comparable groups.

2. A control group is useful in comparing both groups. It would help us to check if there's really an effect or if there is none. If all women were in in art group then all would likely make improvements and there would be no means of verifying this.

Answer:

4.375

Step-by-step explanation:

11 tons

He needs 6 5/8

Convert 11 tons to a fraction with the same denominator:

[tex]\frac{11}{1} *\frac{8}{8} =\frac{88}{8}[/tex]

Now calculate 6 5/8:

[tex]\frac{6}{1} *\frac{8}{8} =\frac{48}{8}[/tex]  and add  [tex]\frac{5}{8}[/tex]

[tex]\frac{48}{8} +\frac{5}{8} =\frac{53}{8}[/tex]

Now subtract

[tex]\frac{88}{8} -\frac{53}{8} =\frac{35}{8}[/tex]

As a mixed number:

[tex]\frac{35}{8} = 4 \frac{3}{8}[/tex]

As a fraction:

4.375 is how much he has left for his other crops.

Answer:     84.535 Quartas.

Step-by-step explanation:

Answer:

a)

b)0.1

pls refer to the pic