RELATING CONCEPTS For Individual or Group Work (Exercises 105-108)

A manufacturer has fixed costs of $1000 to produce gizmos. Each gizmo costs $5 to

make. The fixed cost to produce gadgets is $750, and each gadget costs $3 to make.

Work Exercises 105-108 in order.

105. Write an expression for the cost to make x gizmos. (Hint: The cost will be the sum

of the fixed cost and the cost per item times the number of items.)

106. Write an expression for the cost to make y gadgets.

107. Write an expression for the total cost to make x gizmos and y gadgets.

108. Simplify the expression from Exercise 107.

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Fixed cost to produce gizmo = $1000

Cost to produce each gizmo = $5

Fixed cost to produce gadget = $750

Cost to produce each gizmo = $3

A.) Expression to make x gizmo:

Fixed cost + 5x

$1000 + 5x

B.)Expression for cost of making y gadget:

Fixed cost + 3y

$750 + 3y

C.) Cost of making x gizmo and y gadget :

($1000 + 5x) + ($750 + 3y)

D.) $1750 + 5x + 3y


Related Questions

HELP!!!! (zoom in to see it better)

Answers

Answer:

C and D

Step-by-step explanation:

The lines are parallel to eachother dont worry about what the lines is in the middle

for the second question, it is the same thing, the lines are both going straight

which means that they are parallel

Answer:

C and D

Step-by-step explanation:

3.08 + 8.94 Find the sum

Answers

Answer:

5.86

Step-by-step explanation:

3.08+8.94=12.02
the answer is 12.02

explain how you would use the communitive property of multiplication to aswer 7x3. ​

Answers

Answer:

since 7 times 3 is 21

Step-by-step explanation:

it would be 7+7+7 becuase you do seven times 3

hope that helped!

I need help please help me out .

Answers

21,540 multiply 359 times 60

Debbie sells yard art at the local craft show. Each items sells for $15. It costs her $8 to make each item and $25 for her booth fee. Which inequality shows how many items she needs to sell in order to make a profit?

15x > 8(x + 25)

15x > 8x + 25

15x > 8 + 25x

15x < 8x + 25

Answers

Answer: 15x > 8(x + 25)

that is what i think i am not very good a math sorry

Step-by-step explanation:

Answer:

15x > 8(x + 25)

Step-by-step explanation:

I think this is the answer

Which statements are true about points A, B, and C? Check all that apply.

Answers

Answer:

b

Step-by-step explanation:

Answer:

2 & 5

Step-by-step explanation:

$5.97 / 2

please show your work! I'll give brainliest to whoever shows work.

Answers

Answer:

2.99

Step-by-step explanation:

1.) 2 goes into 5 2 times. So the 2 goes on top of the division sign

2.) 2x2=4

3.) Move 4 below 5

4.) Subtract 5-4=1

5.) Bring down 9

6.) 2 Goes into 19 9 times

7.) 2x9=18

8.) 19-18=1

9.) Bring down the 7

10.) 2 Goes into 17 8 times

11.) 2x8= 16

12.) 17-16=1

13.) Add a zero onto the end, bring down that zero

14.) 2 goes into 10 5 times.

15.) Round answer to 2.99 because with money you only have two decimals

The answer is 2.99 you could use a calculator to find your answer!

Find the distance between the points (10,5) and (6,2)

Answers

The answer fam is........... 5 To find the distance between (10,5) and (6,2) use the "Distance formula"

is f(x)=5x^2+6x^3 a polynomial function​

Answers

Polynomials are expressions whose exponents are non-negative integers and the coefficients are real numbers. The leading term is the term with the highest power. The coefficient of the leading term is the leading coefficient. The power of x in the leading term is called the degree of the polynomial! Here are some examples of polynomials:
Degree Name Example
0 constant 11
1 linear 4x + 7
2 quadratic 3x2 + 4x + 5
3 cubic 4x3 + 3x + 7
4 quartic 3x4 + 2x2 + 4
5 quintic x5 + 3x + 1
Any value of x such that P(x) = 0 is a root of the equation and a zero of the function.
Review of synthetic substitution
To use synthetic substitution, do the following:
1) Write the polynomial in descending order.
2) Make sure any missing terms are replaced with zero!
3) Bring down the leading coefficient.
4) Multiply by the divisor and add to the next term.
5) Repeat the process until the last coefficient is reached.

Example
Use synthetic division to find P(2) for P(x) = 2x3 - 9x2 + 27
2| 2 -9 0 27
4 -10 -20
2 -5 -10 7 The value of P(2) = 7, the last number!!
Sample Problems
1) State whether each is a polynomial function. If yes, find the degree and the zeros.
Problem Polynomial? Degree zeros
a) f(x) = 5 - 4x yes 1 5/4
b) f(x) = 3x2 - 6x yes 2 0, 2
c) f(x) = x - 3/x no
d) f(x) = 18 yes 0 none
e) f(x) = (x-3)/(x+2) no
2) Use synthetic substitution to find P(3) for each function:
a) P(x) = 4x3 - 5x2 + 3
3| 4 -5 0 3
12 21 63
4 7 21 66
Therefore, P(3) = 66

b) P(x) = 3x4 + 2x3 - 5x - 2

3| 3 2 0 -5 -2
9 33 99 282
3 11 33 94 280
Therefore, P(3) = 280


3) If 4 is a zero of f(x) = 3x3 + kx - 2, find the value of k.
Since 4 is a zero, the value of f(4) = 0. Use synthetic substitution.
4| 3 0 k -2
12 48 192 + 4k
3 12 48 + k 190 + 4k
Now 190 + 4k = 0, solve for k
4k = -190
k = -190/4 = -47.5

in quadrilateral abcd below,

Answers

Answer: where is the quadrilateral

Step-by-step explanation:

How do you Graph: -3x – 2y = -8

Answers

Answer:

I hope this helps!

Answer:

y = -2/3x +4 --> y = mx+b form

Step-by-step explanation:

-3x-2y = -8 --> add 3x to both side

-2y = 3x-8 --> divide by -2 on both side

y = -2/3x +4 --> y = mx+b form

the y intercept is 4 and the slope is -2/3, down 2, right 3.

therefore, the graph would contain a y intercept point of (0,4) and then from there u would start plotting down 2, going right 3 unit or up 2 and left 3 units. Then when u plotted at least 2/3/4 points, use a straightedge to draw the line.

NEED A MATH TUTOR ASAP !!!

tim has $20 in a savings account. The interest rate is 10% per year and is not compounded. How much will he have in 1 year ?

Answers

Answer:

$22

Step-by-step explanation:

20 * 1.10 = 22

The answer is $22 good luck!!

Free pints get it lolololo​

Answers

Answer:

Yayee

Step-by-step explanation:

Hahahahahha
Jags rvhdv f hdidbdjbfjfoc. S in thrift Nd

Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.

a. Let m (w) = 3 w^17 4^w. Find m ′(w) .
b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t).
c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x).
d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .

Answers

Answer:

A)  M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f'(1) = e' [sin(1) + cos(1) ]

D) g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Step-by-step explanation:

Attached below is the detailed solution of the problem

A) m(w) = 3w^17 * 4^w

M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h(t) = [sin(t) + cos(t) ] t^4

h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f(x) = e^x sin (x).  at a = -1

f'(1) = e' [sin(1) + cos(1) ]

D) g (x) = ( x^2 + x ) 2^x .

g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

what is 10x plus 50 - 2 divided by 6 + 100 times 8 - -2.

Answers

Answer: the answer is -947 hope this helped.

Step-by-step explanation:

ms.smith bought a 5 pound bag of candy for her 6th grade classroom.She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.How many ounces of candy does Ms.Smith still have in her bag?

Answers

Answer:

42

It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.

But at least its correct.

Ms. Smith still have 42 ounces of candy in her bag.

What is Subtraction?

To subtract means to take away from a group or a number of things.

Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.

1 pound = 16 ounces

She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds

3 pounds = 16*3 ounces = 48 ounces

She ate 6 ounces of candy

Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.

Hence, Ms. Smith still have 42 ounces of candy in her bag.

For more references on Subtraction, click;

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i’ll literally give you 45 points but please answer it correctly i have a D in math class

Answers

I wrote out the answers on top of the sheet. Hope this helped!

5. Mrs. Correa bought a box of 72 pencils and kept 30 of them for herself. She gave the rest to her 6 children so that each had the same number of pencils. Which expression could be used to find the number of pencils each child received? *

Answers

Answer:

(72-30)/6 = 7 is the equation

72-30=42

42/6=7

Step-by-step explanation:

Good luck! <3

Answer:

(72-30) divided by 6

Step-by-step explanation:

You subtract 30 from 72 because Ms.Correa is going to keep them. Then you divide that by 6 of her children to get your answer. 72-30=42, 42/6 = 7

Solve for r.
r + 7 < 6 or r + 8 > 18
Write your answer as a compound inequality with integers.

Answers

r<-1 or r>(or equal to)10. So it would be the bottom left one

-167-(-12)=
answer it idk

Answers

Answer:

155

Step-by-step explanation:

All you do is subtract negetive 167 and take -12 away from 167.

-2004 because the -12 becomes a positive then you multiply-167 to 12

Plzz answers its easy points!!!! im just really dumb!!!!

Answers

Answer:

see below

Step-by-step explanation:

V = Bh where B is the area of the base and h is the height

Divide each side by h

V/h = Bh/h

V/h = B

36/6 = B

6 = B

The area of the base is 6 in^2

instructions: analyze the diagram below and complete the instructions that follow​

Answers

Answer:

75°

Step-by-step explanation:

x+60=5x. (vertical angles)

4x=60

x=15

m<GJI = x+60

=15+60 = 75°

The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12.
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
Of(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
O f(x) = 5x + 2

Answers

Answer: I think it’s f(x)=2x+2

Step-by-step explanation:

Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying a scarves what do the parts of the expression 48s represents

Answers

The expression 48s represents the cost of the scarves.

Given

Emiko makes Shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves.

Let s represent the price of the scarves.

The cost of each scarves is 48.

Therefore,

The cost of scarves = Number of scarves × cost of each scarves.

The cost of scarves = s × 48

The cost of scarves = 48s

Hence, the expression 48s represents the cost of the scarves.

To know more about Expression click the link given below.

https://brainly.com/question/18371860

Answer:In the expression 48s ,represents the number of scarves and 48 represents  the price per scarf

Step-by-step explanation:

An airplane cover 1020km in an hour. How much distance will it cover in 25/6 hours

Answers

Answer:

4250 km

Step-by-step explanation:

If we convert 25/6 into a mixed fraction, we get 4 1/6. Since we already know the plane goes for four hours already, we can multiply 1020 km x 4. That would give us 4080. Now that we converted the equation into a mixed fraction, we also know that the plane goes for an extra 1/6 hour. We divide 1020/6 because it is a sixth of an hour and the plane can travel 1020 in an hour. We get 170 km for 1/6 of an hour.

4080km + 170km= 4250 km

Given : An airplane cover 1020km in an hour.

To Find : How much distance will it cover in 25/6 hours .

Solution : It is given that an airplane covers 1020 km in one hour , this implies that the speed of the airplane is 1020km/hr .

Now , it is asked to find that how much distance it will cover in 25/6 hours .

Here ,

Speed = 1020km/hr .Time = 25/6 hr .Distance = ? .

★ We know a relation between speed , distance & time as ,

[tex]\boxed{\red{\bf Distance = Speed \times time }}[/tex]

⇒ Distance = Speed × Time .

⇒ Distance = 1020km/hr × 25/6 hr .

Distance = 4250 km .

Hence the distance travelled is 4250km.

list four advantages and disadvantages of measures of location​

Answers

Step-by-step explanation:

Advantages of using measures of dispersion are that it gives us a better idea of the range in which an average was calculated and it is easy to calculate and understand. A disadvantage of using measures of dispersion is that it is a broad measurement because it only shows the maximum and minimum values of data.

After 2 weeks of training Amanda learned a total of 5 appetizer recipes after 6 weeks of training how much appetizers will she learn

Answers

Answer:

15

Step-by-step explanation:

After 6 weeks of training, Amanda will learn 15 recipes.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Recipes learned by Amanda after 2 weeks of training = 5.

After 6 weeks of training, the number of recipes are required.

To find the number of recipes,

Use ratio property,

After 2 weeks of training = 5 recipes

After 1 week of training = 5/2 recipes.

Therefore, after 6 weeks of training = (5/2) x 6 = 15 recipes.

Amanda will learn 15 recipes after 6 weeks of training.

To learn more about Ratio on :

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please help!!!!!!!!!!!!! will give brainliest.

Answers

Answer:

x<9 and x>1/13

1/13<x<9

Step-by-step explanation:

First, let's find the value of x in the first equation:

6((x-1)/2-(x-3)/3)<2*6

(3x-3)-(2x-6)<12

3x-3-2x+6<12

x+3<12

x<9

Now, let's find the value of x in the second equation:

13x-1>0

13x>1

x>1/13

Since x has to satisfy both of these, the answer would be x<9 and x>1/13; in other words, 1/13<x<9.

This problem illustrates the limit derivation of a Poisson distribution from Binomial distributions. Suppose an average of 66 arrivals occur during a 30 minute interval. To count arrivals, divide the 30 minute interval into nn sub-intervals. On the previous problem, you found the probability pp of one arrival during a single sub-interval for each n given. Now, compute the (estimated) probability that there will be, in fact, exactly 6 arrivals during a 30 minute interval, with each probability model:

a. Using Binomial with n=30, the chance of 6 arrivals is estimated as:__________
b. Using Binomial with n=60, the chance of 6 arrivals is estimated as:__________
c. Using Binomial with n=100n=100, the chance of 6 arrivals is estimated as:________
d. Using Poisson, the chance of 6 arrivals is estimated as:________

Required:
Use a probability calculator, and enter answers in decimal form, rounded to at least four places after the decimal.

Answers

Answer:

1. 0.1795

2. 0.1693

3. 0.1657

4. 0.1606

Step-by-step explanation:

This problem was solved using the binomial distribution

1.

N = 30

P = 6/30 = 0.2

Using binomial distribution

30C6 x 0.2⁶ x 0.8²⁴

= 593775 x 0.000064 x 0.004722

= 0.1795

2.

N = 60

P = 6/60 = 0.1

60C6 x 0.1⁶ x 0.9⁵⁴

= 50063860 x 0.000001 x 0.00338139

= 0.1693

3.

N = 100

100C6 x 0.06⁶ x 0.94⁹⁴

= 1192052400 x 0.000000046656 x 0.00297864

= 0.1657

4.

Poisson distribution was used here

e^-6(6)⁶/6!

= 0.1606

Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable

Answers

Answer:

The input of the function

Step-by-step explanation:

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