Mathematics High School

Let C(x)=600+60x be the cost to manufacture x items.Find the average cost per item, to the nearest dollar, to produce 30 items.


A) $315
B) $80
C)$1320
D)$330

Answers

Answer 1

Answer:

Correct answer: B: $80

Step-by-step explanation:

Given the function, C(x) = 600 + 60x, where:

C(x) = represents the total cost to manufacture x items

    x = number of manufactured items

Substitute x = 30 into the given function:

C(30) = 600 + 60(30)

C(30) = 600 + 1800

C(30) = 2400 ← This represents the total cost to produce 30 items.  We need to find out the average cost per item.

Thus, we need to divide $2,400 by 30 to get the average cost of producing each item:

$2,400 / 30 = $80

Therefore, the correct answer is B) $80

Please mark my answers as the Brainliest if you find my explanations helpful :)

Related Questions

Your grandma puts $1,500 in an account for you at 0.5% interest annually. She tells you that you can use it when it equals $6000. About how many years will you need to wait?

Answers

Answer:

you will have to wait a total of 4 years

Step-by-step explanation:

divide 1,500 and 6,000

if this not right please tell me.

F(x) = 8x+7 If f(x)=31 find x

Answers

Answer: x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

31 = 8x + 7

Step 1: Flip the equation.

8x + 7 = 31

Step 2: Subtract 7 from both sides.

8x + 7 − 7 = 31 − 7

8x = 24

Step 3: Divide both sides by 8.

8x /8  =  24 /8

x = 3

Answer:

x = 3

Source: https://www.mathpapa.com/algebra-calculator.html?q=31%3D8x%2B7

, Hope this helps :)

Have a great day!!

19. Reasoning What is the value of 11027
What is the value of any power of 1?

Answers

Answer:

Hi, any number to the power 1 is equal to that very number.

Step-by-step explanation:

Hope that this is helpful .

Have a great day.

Which could be used to solve this equation?
33+n=9
Subtract 3 from both sides of the equation.
35-33+.9+33
Add 3 to both sides of the equation.
O 9+34-124

Answers

Answer:

subtract 3 1/5 from both sides of the equation

Step-by-step explanation:

Answer:

A) Subtract 3 1/5 from both sides of the equation

Step-by-step explanation:

Elsa works as a tutor for $15 an hour and as a waitress for $9 an hour. This month, she worked a combined total of 101 hours at her two jobs. Let tbe the number of hours Elsa worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.

Answers

Answer:

6t + 909

Step-by-step explanation:

t - tutor (hours)

101 - t = waitress (hours)

$15t + $9(101-t) = 15t + 909 - 9t

6t + 909

what is 1 + 1 i need help.

Answers

Answer:

2

Step-by-step explanation:

1 plus 1 is equals to 2 (1+1=2)

HELP WILL MARK BRAINLIEST
Classify the polynomial

Answers

5 is the awnswer so it's 5

A girl has 7 coins in her purse. She has six 10c coins and one 50c coin.
She takes two coins at random from her purse,one after the other.

a)​Draw a tree diagram to show all the possible outcomes.

Answers

Either 4 10c 1 50c coin or 5 10c since

if she has 6 10c coins and 1 50c coins she threw 2 away only options would you take 10c coin and 1 50c or 2 10 c hope this helps

A square piece of cheese covers 10 square inches of a plate. What is the approximate length of one side of the piece of cheese?

Answers

Answer:

Step-by-step explanation:

If its a square all the sides are equal so therefor if it took up ten inches of the plate the length is 10 by 10 so 100 because the equation for length is base times height.

1. The list shows the amounts of money student council collected from students for a field trip. Each student paid the same amount. What is the most the field trip could cost per student? Wednesday $36 Thursday $54 Friday $72 The most the field trip could cost is $ per student.​

Answers

Answer:

Step-by-step explanation:

First find the LCM and it is going to be 18.

sketch the graph of the equation 3y+4x=2

Answers

Simplifying

3y + 4x = 2

Reorder the terms:

4x + 3y = 2

Solving

4x + 3y = 2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3y' to each side of the equation.

4x + 3y + -3y = 2 + -3y

Combine like terms: 3y + -3y = 0

4x + 0 = 2 + -3y

4x = 2 + -3y

Divide each side by '4'.

x = 0.5 + -0.75y

Simplifying

x = 0.5 + -0.75y

The line connecting two coordinates (0,66)  and (0.5,0) show below.

What is Mathematical equation ?

By definition, an equation is a mathematical statement made up of two expressions linked by an equal sign. In other words the equation represents the graph between x and y that is for each value of x there exist one value of y.

Here, the given equation is :

3y + 4x = 2

now, to sketch the equation in graph we need to find the two coordinate first,

Let, x= 0 then y will be :

3y+4x=2

3y = 2

y = 2/3 = 0.66

that is first coordinate is (0,66)

Now, for y = 0 , x will be :

3y+4x=2

4x = 2

x = 0.5

that is second coordinate will be (0.5 , 0)

Now, draw the line connecting these two points show below.

check and know more about equation of line here :

https://brainly.com/question/21511618

#SPJ2

Describe the transformation in g (x) = (-5/8x) as it relates to the graph of the parent function.​

Answers

Answer:

reflection over x axis then horizontal stretch by factor of 8/5

Step-by-step explanation:

f(x)=x

h(x) = -f(x)  ... reflection over x axis   (x,y) -> (x,-y)

-f(x) -> g(x) = (-5/8x) ...0 < |5/8| <1  ... horizontal stretch   (x,-y) -> (x / (5/8) , -y)

at a zoo, 3 pandas eat a total of 181 1/2 pounds of bamboo shoots each day. The male panda eats 3 times as much as the baby. The female eats twice as much as the baby. How many pounds of bamboo shoots does the female panda eat? Steps

Answers

The female panda eats 60,5 pounds of bamboo shoots.

Step by step Explanation|

Ok so in order to solve this problem we would have to create a equation. We have to be able to represent each value in the equation. And since we don’t have anymore information we can’t make them different variables, the good thing is that they are all expressed in terms of how much does the baby panda eats. So baby panda amount of food will be expressed by:
x,
and since the female panda is twice that it would be:
2x,
And since the male panda is three times that it would be:
3x,
And the totals between the 3 of them is:
181/ and 1/2,

So the sum of all of them is...
(We put it into an equation so it would look like this):
3x + 2x + x = 181 1/2
6x = 181 1/2
X = (181 1/2)/6
X = 30/25

Now since the problems asks for how much does the female panda eats, we will calculate in our heads of course that:
2x,2(30,25) = 60,5 pounds..

So the female panda eats 60,5 pounds of bamboo.

In the figure BD||EG and the measure of angleACB=35 degree. What is the measure of angle GFH
A 35. B 55. C 135. D 145

Answers

Answer:

35 degree

Step-by-step explanation:

same degree as GFH

What are the roots (x intercepts ) of the equations below ? Show your work , Factor if possible or use Quadratic Equation . a ) y = x ^ 2 - x - 6 b). y = 2x ^ 2 + x - 6

Answers

Answer:

b.) y = 2x ^ 2 + x - 6

Step-by-step explanation:

carry on learning

A) 0.15
B) an equal sign
C) a multiplication sign
D) a percent sign

Answers

Answer:

B

Step-by-step explanation:

What is 15% of 60 is nothing but What equals 15% of 60 or What = 15% of 60

Pls need help I’m stressing out need ASAP it would mean a lot

Answers

Answer:

26.4 million

Step-by-step explanation:

You multiply the previous summer concert tour attendance by 0.92. In 1988, the attendance was 31 million. 31.1 × 0.92 = 28.6. The attendance in 1989 is 28.6 million. Repeat the step of multiplying by 0.92 to find the attendance in 1990. 28.6 × 0.92 = 26.36 million. Round your answer to the nearest tenth of a million will get you 26.4 million.

Please help i'll give you the brainliest! it's not hard

Answers

You got to add AB and BC which equals 18x and you gotta equal that to the total which is 54 and 54 divided by 18 is 3 so the answer is D

convert 5 feet to
centimeters show your
conversions

Answers

Answer:

152.4 cm

Step-by-step explanation:

i think

ƒ(x) = 3x2 – 2x: Find ƒ(–4).

Answers

Answer:

40

Step-by-step explanation:

f(x) = 3x2 – 2x

f(-4) = 3(-4)² - 2(-4)

= 3(16) - 8

= 48 - 8

= 40

find the slope
(8, 10), (-7, 14)

Answers

Answer:

4/-15 is the slope

Step-by-step explanation:

an = -2+5(n-1)

Rewrite the explicit formula of the given sequence in the form of y=mx+b​

Answers

Hello!

Answer:

a=[tex]-\frac{7}{n} +5[/tex]

Step-by-step explanation:

Hope this helps!

Answer 15 please algebra one

Answers

Answer:

a

Step-by-step explanation:

To obtain the inverse, rearrange the relation making x the subject

y = x² + 4 ( subtract 4 from both sides )

y - 4 = x² , or

x² = y - 4 ( take square root of both sides )

x = ± [tex]\sqrt{y-4}[/tex]

Change y into terms of x with x = [tex]f^{-1}[/tex] (x) , that is

[tex]f^{-1}[/tex] (x) = ± [tex]\sqrt{x-4}[/tex] → a

find the slope of (1,5) (-1,-3)

Answers

Answer:

4

Step-by-step explanation:

Slope= y2-y1/x2-x1

(1,5) is placed as (x1,y1) and (-1,-3) is placed as (x2,y2)

Plug it in

-3-5/-1-1

Simplify

-8/-2 = 4

Slope=4

Do only equations with variables on both sides have no​ solution? Or can the variable be just on one​ side? Justify your answer. Choose the correct answer below.

A. Every equation with variables on both sides has no solution.​ However, it is also possible for an equation with the variable on only one side to also have no solution.

B. If the variable only appears on one side of an​ equation, then the equation can always be solved for the variable. This means that if an equation has no​ solution, then the variable must appear on both sides.

C. Any equation can have one​ solution, infinitely many​ solutions, or no solutions. This does not depend on whether the variable appears on only one side or on both sides.

D. If the variable only appears on one side of an​ equation, then the equation can always be solved for the variable. By​ contrast, an equation with variables on both sides always has no solution or infinitely many solutions.

Answers

Answer:

No only variable on both sides have no solution

Step-by-step explanation:

Then you can get,

for example x=x

or,

y=y

Answer:

Option C

Step-by-step explanation:

A. Every equation with variables on both sides has no solution.​ However, it is also possible for an equation with the variable on only one side to also have no solution.

False, the first pat incorrect. The equation can be simplified to have variable on one side and solved further.

B. If the variable only appears on one side of an​ equation, then the equation can always be solved for the variable. This means that if an equation has no​ solution, then the variable must appear on both sides.

False, the second part is incorrect. If an equation has no solution, then variables disappear and it results in nonsense equation.

C. Any equation can have one​ solution, infinitely many​ solutions, or no solutions. This does not depend on whether the variable appears on only one side or on both sides.

True

D. If the variable only appears on one side of an​ equation, then the equation can always be solved for the variable. By​ contrast, an equation with variables on both sides always has no solution or infinitely many solutions.

False, the second part is incorrect. The variables can be taken to the same side of equation. If they cancel and leave a correct equation, then it results in infinitely many solutions. If they cancel and leave incorrect equation, then it results in no solution. If it simplifies with variable on one side, then there is one solution.

The sum of three consecutive odd integers is 459. What are the integers? (show your work please)

Answers

Answer:

151+153+155

Step-by-step explanation:

First you divide 459/3.  That equals 153.  Now you need 3 integers that add to 459.  The first integer is 153 and now you subtract and add equal parts from it to get your other two.  You subtract 153 by two and get 151.  Then you add 153 by 2 and get 155.  

1/4 x2 - 1/9 y2 factorization plz with explanation

Answers

Answer:

. . . . . .  . . .

Step-by-step explanation: . . . . .

Cross products: what number is missing?

Answers

Answer:

hi

Step-by-step explanation:

hope it helps have a nice day

Can someone plz help me with this problem plz

Answers

You should ask your classmates for the answers

Please answer below :-)

Answers

Answer:

(x+3)(x+2)

Step-by-step explanation:

The numbers 2 and 3 add to 5 and multiply to 6. Therefore when you put them in a factor box, you will end up with [tex]x^2+5x+6[/tex]

Answer : (x+3) (x+2) :

Step-1 : Multiply the coefficient of the first term by the constant 1 • 6 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 5 .

-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7
2 + 3 = 5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 3
x2 + 2x + 3x + 6

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+2)
Add up the last 2 terms, pulling out common factors :
3 • (x+2)
Step-5 : Add up the four terms of step
(x+3) (x+2)



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