C(x) = mx + 500
A company's total cost c(x), in dollars, to produce x shirts is given by the function above, where m is a
constant and x > 0. The total cost to produce 100 shirts is $800. What is the total cost, in dollars, to
produce 1000 shirts? (Disregard the $ sign when entering your answer.)

Answers

Answer 1

Total cost as the function of shirts is :

C(x) = mx + 500 .

It is given that , The total cost to produce 100 shirts is $800.

800 = 100m + 500

m = 3

So , cost is given by :

C(x) = 3x + 500 .

Now , putting x = 1000 .

We get :

C(x) = 3x + 500

C(x) = 3(1000) + 500

C(x) = $3500

Therefore , cost of producing 1000 shirts is $3500 .

Hence, this is the required solution .

Answer 2

   Total cost to produce 1000 shirts will be $3500.

Linear equation:    A linear equation with two variables 'x' and 'y' are given by,

            y = mx + b

            Here, m = constant

Given in the question,

Equation representing company's total cost C(x) and number of shirts 'x' as,

C(x) = mx + 500

Here, m = constant

And x > 0

If C(x) = $800, x = 100,

          800 = m(100) + 500

             m = 3

        Equation for the total cost to produce the 'x' shirts will be,

        C(x) = 3x + 500

If x = 1000,

        C(x) = 3(1000) + 500

             x = $3500

     Therefore, total cost to produce 1000 shirts will be $3500.

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Related Questions

25cg : 4g in lowest terms.

Answers

Step-by-step explanation:

We need to convert 25 cg : 4g in lowest terms.

We know that, 1 gram = 100 centigram

1 cg = (1/100) gram

25 cg = [tex]\dfrac{25}{100}[/tex] grams

To write 25 cg : 4g in lowest terms, the step to be done are as follows :

[tex]\dfrac{25\ cg}{4\ g}=\dfrac{\dfrac{25}{100}}{4}\\\\=\dfrac{\dfrac{25}{25\times 4}}{4}\\\\=\dfrac{1}{16}[/tex]

It means that the lowest term for 25 cg : 4g is [tex]\dfrac{1}{16}[/tex]

What is the value of x?
6.75+3/8×=13 1/4

Answers

Answer:

x = 17.3333

Step-by-step explanation:

Solve for x:

(3 x)/8 + 6.75 = 13 + 1/4

Hint: | Put the fractions in (3 x)/8 + 6.75 over a common denominator.

Put each term in (3 x)/8 + 6.75 over the common denominator 8: (3 x)/8 + 6.75 = (3 x)/8 + 54/8:

(3 x)/8 + 54/8 = 13 + 1/4

Hint: | Combine (3 x)/8 + 54/8 into a single fraction.

(3 x)/8 + 54/8 = (3 x + 54)/8:

(3 x + 54)/8 = 13 + 1/4

Hint: | Put the fractions in 13 + 1/4 over a common denominator.

Put 13 + 1/4 over the common denominator 4. 13 + 1/4 = (4×13)/4 + 1/4:

(3 x + 54)/8 = (4×13)/4 + 1/4

Hint: | Multiply 4 and 13 together.

4×13 = 52:

(3 x + 54)/8 = 52/4 + 1/4

Hint: | Add the fractions over a common denominator to a single fraction.

52/4 + 1/4 = (52 + 1)/4:

(3 x + 54)/8 = (52 + 1)/4

Hint: | Evaluate 52 + 1.

52 + 1 = 53:

(3 x + 54)/8 = 53/4

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (3 x + 54)/8 = 53/4 by 8:

(3 x + 54)/(8 1/8) = 1/4×1/(1/8) 53

Hint: | Any nonzero number divided by itself is one.

1/8×1/(1/8) = 1:

3 x + 54 = 1/4×1/(1/8) 53

Hint: | Write 1/4×1/(1/8) as a single fraction.

Multiply the numerator of 1/4×1/(1/8) by the reciprocal of the denominator. 1/4×1/(1/8) = 1/4×8:

3 x + 54 = 1/4×8×53

Hint: | Express 1/4×8×53 as a single fraction.

1/4×8×53 = (8×53)/4:

3 x + 54 = (8×53)/4

Hint: | In (8×53)/4, divide 8 in the numerator by 4 in the denominator.

8/4 = (4×2)/4 = 2:

3 x + 54 = 2×53

Hint: | Multiply 2 and 53 together.

2×53 = 106:

3 x + 54 = 106

Hint: | Isolate terms with x to the left hand side.

Subtract 54 from both sides:

3 x + (54 - 54) = 106 - 54

Hint: | Look for the difference of two identical terms.

54 - 54 = 0:

3 x = 106 - 54

Hint: | Evaluate 106 - 54.

106 - 54 = 52:

3 x = 52

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = 52 by 3:

(3 x)/3 = 52/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = 52/3

Hint: | Express 52/3 in decimal form.

52/3 = 17.3333:

Answer: x = 17.3333

Answer:

52/3

Step-by-step explanation:

The  answer above me ^^

please solve this problem ​

Answers

Answer:

(4) 0

Step-by-step explanation:

Given:

cos²27°×cos²34°×...×cos²167 = ?

Looking at the angles measures, they form series of:

27, 34, 41, ..., 167

This is AP with the first term of 27 and common difference of 7

We can see one of the terms of this AP is 90

27+9*7 = 27 + 63 = 90

Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.

So correct answer choice is  Option 4) 0

Is -0.11 a natural number?

Answers

Answer:

No it's not.

Step-by-step explanation:

A natural number is the subset of:

Positive numbersDoesn't include Zero.

Hope this helps ;) ❤❤❤

Answer:

No

Step-by-step explanation :

a natural number is a positive integer greater than 0 and a number that does not include a decimal point.

What is the opposite of the opposite of negative nine?​

Answers

Answer:

-9 or negative 9

Step-by-step explanation:

The opposite of negative 9 is positive 9.

The opposite of that is negative 9.

Answer:

+9

Step-by-step explanation:

Question 5 (25. pts)
What can you conclude about your observations in Question 4? What happened as you moved P, the center of rotation, about the coordinate plane? How can you extend your discoveries about the vertices to all points that lie on a figure or shape?​

Answers

Answer:

No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.

Step-by-step explanation:

Write each product in exponential form.

3x3x3x3x3

Answers

Answer:

3^5, because thats 5 3's

Step-by-step explanation:

Answer:

3⁵  

Step-by-step explanation:

3[x + 3(4x – 5)] = 15x – 24

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3[ x + 3(4x - 5)]  = 15x - 24}[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf{3[ x + 12x - 15 ]  = 15x - 24}[/tex]

Collect like terms : 12x and x

⇒[tex] \sf{3[ 13x - 15 ]  = 15x - 24}[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf{39x - 45 = 15x - 24}[/tex]

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒[tex] \sf{39x - 15x = - 24 + 45}[/tex]

Collect like terms

⇒[tex] \sf{24x = - 24 + 45}[/tex]

Calculate

⇒[tex] \sf{24x = 21}[/tex]

Divide both sides of the equation by 24

⇒[tex] \sf{ \frac{24x}{24} = \frac{21}{24}} [/tex]

Calculate

⇒[tex] \sf{x = 0.875}[/tex]

Hope I helped!

Best regards! :D

Ted has these cards:5,2,6.
Make a list of all the 3 digit numbers he can make using the cards​

Answers

Answer:

256

265

526

562

625

652

The average distance from Earth to the sun is about 9.3 x 10LaTeX: ^77 miles. The average distance from Mars to the sun is about 1.4 x 10LaTeX: ^88 miles. When both planets are at their average distance from the sun, how much farther is Mars from the sun than Earth?

Answers

Answer:

Mars is [tex]1.4 \times 10 ^{88} miles[/tex] farther from the sun than Earth?

Step-by-step explanation:

We can assume that the two planets are on a straight line. This would make the solution easier for us.

The average distance from Earth to the sun is about [tex]9.3 \times 10 ^{77} miles[/tex]

The average distance from Mars to the sun is about [tex]1.4\times 10^{88} miles[/tex]

To find how much farther is Mars from the sun than Earth, we simply need to subtract the distances between the Earth and the Sun and the Distance between Mars and the Sun.

This will be

[tex]1.4\times 10^{88} miles[/tex] - [tex]9.3 \times 10 ^{77} miles[/tex]  = [tex]1.4 \times 10 ^{88} miles[/tex]

What’s the 10th term in 2,8,14,20

Answers

Answer: 56

Explanation: Add 6 to your sum every time until you get to the 10th term. It should look like this:

2

8

14

20

26

32

38

44

50

56

This is a total of 10 numbers.

Hope it helps!

Is 63,459 greater or less than 62,935

Answers

Answer:

greater than

Step-by-step explanation:

63,459 is 542 more than 62,935

Answer:

63,459 is less than 63,935

Step-by-step explanation:

63,459 is less than 63,935 because in 63,459 the hundreds place is 400 and in 63,935 the hundreds place is 900.

Hope this helps, please mark brainliest. You dont have to if you dont like it

The world record for the most number of speed skips in 60 seconds is 332 skips. If the record holder skipped at a constant ratio of seconds to skips, how many skips did she make in 15 seconds?

Answers

Answer:

  83

Step-by-step explanation:

If that number of skips is represented by s, we can write the proportion ...

  skips/seconds = s/15 = 332/60

  s = 332(15/60) = 332/4 = 83

She skipped at the rate of 83 skips in 15 seconds.

_____

Additional comment

If the ratio seconds : skips is constant, then so will be the ratio skips : seconds.

Answer:

332/60 is 5.53, then multiply that by 15 and your answer is 83

Step-by-step explanation:


Which problem can we solve with 1/3 divided by 4.

Answers

Step-by-step explanation:

1/3÷4

1/3×4

4/3the answer is 4/3

I have fewer than 25 acorns.
I have more than 21 acorns.
Draw how many acorns I could have.

Answers

Answer:

21 < a < 25

Step-by-step explanation:

More than 21 acorns is represented by 21 <

Fewer than 25 acorns is represented by < 25

Let a be the number of acorns you could have.

21 < a < 25

Find the cube root(s): ∛1

Answers

Answer:

1

Step-by-step explanation:

1 times 1 times 1 = 1

what is 4 fifteenths plus 11 twelves in simplest form

Answers

Answer:

192

Step-by-step explanation:

4(15)+11(12)

15+15+15+15=60

4(15)=60

12+12+12+12+12+12+12+12+12+12+12=132

11(12)=132

60+132=192

Hope this helps ;) ❤❤❤

. >,<, = 6 × 10^−3 5 × 10^−3 Please help will mark brainly.

Answers

Answer:

6*10^-3  >  5*10^-3

Step-by-step explanation:

[tex]6*10^{-3}\\6*\frac{1}{10^{3} }\\6*\frac{1}{1000}\\\frac{6}{1000}=\frac{3}{500}=0.006[/tex]

[tex]5*10^{-3}\\5*\frac{1}{10^{3} }\\5*\frac{1}{1000}\\\frac{5}{1000}=\frac{1}{200}=0.005[/tex]

0.006>0.005, therefore, 6*10^-3>5*10^-3

i need help! please!!!!!!!!

Answers

Step-by-step explanation:

3x4=12

3.14

12-3.14

who is correct though and why?

Answers

Answer:

Correct

Step-by-step explanation:

i need something to work with im not understanding your question

16=5/4(6x+20)
what's it's simplest form

Answers

Answer:

-6/5

Step-by-step explanation:

Answer: x=0 or 6/5

Step-by-step explanation:

find the domain & range, pls helpp

Answers

Answer:

Domain: 1, 6

Range: 4

Step-by-step explanation:

The Domain is the first coordinate which is x

The Range is the second coordinate which is y

The domain is the set of departure of a function into constrained to fall it is the sex X in the notation f:X-Y and is denoted as dom. The range is set of data is the diffrence between largest and smallest values so The domain is 1,6 and range is 4

solve for x in this equation A=Bxt+C

Answers

Answer:

[tex]x = \frac{A - C}{Bt} [/tex]

Step-by-step explanation:

A = Bxt + C

To solve for x move C to the other side of the equation

That's

Bxt = A - C

Divide both sides by Bt to make x stand alone

That's

[tex] \frac{Bxt}{Bt} = \frac{A - C}{Bt} [/tex]

We have the final answer as

[tex]x = \frac{A - C}{Bt} [/tex]

Hope this helps you

Write as a fraction and simplify. (use the symbol / in your answer).
0.878787.....

Answers

Answer:

.878787.. to a fraction is 29/33

Step-by-step explanation:

[tex]\frac{(0.87*100)-0}{99}[/tex] = 87/99

Simplify 87/99, which is 29/33

How many tattoos does Niall Horan have?

Answers

Answer:

0

Step-by-step explanation:

hope this helps with your math

Answer:

none

Step-by-step explanation:

-Write 4.82 as a mixed number.
Write 7.7 as a mixed number.
OMG I NEED HELP i will give 10 points

Answers

Answer:

1)4 41/50

2)7 7/10

Solve the equation for x. For each step, identify the property used to convert the equation. 18=6(2x – 8)

Answers

Answer:

x=11/2

Step-by-step explanation:

solution

We going to do this process in a stepwise manner

given the expression

18=6(2x – 8)

1. open bracket on the left-hand side (distributive property)

18=12x-48

2. collect like terms

18+48=12x

66=12x

3. divide both sides by 12 we have

x= 66/12

x= 33/6

x=11/2

(25 POINTS!!!!) a rectangular garden measures 5 feet by 4 feet. The length and width are both increased by the same amount and the new area is 56 square feet. What are the new dimensions of the garden?

Answers

Both sides increased by 3 feet each. i.e. 8 feet by 7 feet = 56 square feet.

The new dimensions of the garden are 8 feet and 7 feet.

What is rectangle?

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

The length of rectangular garden = 5 feet,

And the width of rectangular garden = 4 feet.

The area of rectangular garden = 5 x 4 = 10 square feet.

Let the length and width are increased by x feet, to make the new area 56 square feet.

The new length = 5 + x,

and new width = 4 + x.

The area = 56

(5 + x) × (4 + x) = 56

Substitute, x= 3 which satisfies the equation,

So, the new length of garden = 5 + 3 = 8 feet,

And the new width of garden = 4 + 3 = 7 feet.

To know more about Rectangle on:

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Please help I will give out brainliest and 100 points

Answers

Answer:

20.5 cm

21.5 cm

Step-by-step explanation:

Length is 21 cm correct to 2 significant figures

Find lower and upper bounds

The lower bound is the smallest value that will round up to the approximate value. The upper bound is the smallest value that will round up to the next approximate value.

As per above definition:

Lower bound is 20.5 cm rounded to 21 Upper bound is 21.5 cm rounded to 22

Answer:

a.  L.B. = 20.5

b.  U.B. = 21.5

Step-by-step explanation:

Length is measured 21 cm correct to 2 significant figures

a.  Lower bound of 21

    =  20.5 < 21

    = 20.5

b. Upper bound of 21

     = 21 < 21.5

     = 21.5

Solve: 1 x + 2 = -x + 7

10

5/2

2/5

20

Answers

Answer:

5/2

Step-by-step explanation:

1x+2=-x+7

2x=5

x=5/2

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