Una fábrica produce tres tipos de balones de fútbol, con un costo mensual de

$24,250.00 por cada 1125 balones. Los costos de fabricación son $ 40.00, $ 30.00 y $

20.00. Estos balones se venden en $ 160.00, $ 120.00 y $ 100.00, respectivamente.

¿Cuántos balones de cada tipo se fabrican si la ganancia mensual es de $ 92,750.00?

Answers

Answer 1

Answer:

Se fabricaron:

1000 balones de los que cuestan $20

75 balones de los que cuestan $30

50 balones de los que cuestan $40

Step-by-step explanation:

Vamos a definir las variables:

x = número de balones de $100.00 vendidos.

y = número de balones de $120.00 vendidos

z = número de balones de $160,00 vendidos.

Sabemos que se producen 1125 balones, entonces:

x + y + z = 1125

y el costo de producción es $24,250, conociendo el costo de cada balón podemos escribir:

x*$20 + y*$30 + z*$40 = $24,250

Y también sabemos que la ganancia mensual es $92,750

Ganancia es la diferencia entre el dinero total recibido y los costos, entonces:

x*$100 + y*$120 + z*$160 - $24,250 =  $92,750

x*$100 + y*$120 + z*$160 = $92,750 + $24,250

x*$100 + y*$120 + z*$160 = $117,000

Entonces tenemos un sistema de 3 ecuaciones:

x + y + z = 1125

x*$20 + y*$30 + z*$40 = $24,250

x*$100 + y*$120 + z*$160 = $117,000

Para resolver esto debemos comenzar por aislar alguna variable en alguna de las ecuaciones, yo comenzare aislando x en la primera ecuación:

x = 1125 - y - z

Ahora podemos reemplazar esto en las otras dos ecuaciones para obtener:

(1125 - y - z)*$20 + y*$30 + z*$40 = $24,250

(1125 - y - z)*$100 + y*$120 + z*$160 = $117,000

Si simplificamos esto obtenemos:

$22,500 + y*$10 + z*$20 = $24,250

$112,500 + y*$20 + z*$60 =  $117,000

Ahora de vuelta, debemos aislar una variable en una de las ecuaciones, si aislamos y en la primera ecuación obtenemos:

y*$10 = $24,250 - $22,500 -  z*$20

y = ($1,750 - z*$20)/$10

y = 175 - 2*z

Reemplazando esto en la otra ecuación obtenemos:

$112,500 + (175 - 2*z)*$20 + z*$60 =  $117,000

Ahora podemos resolver esto para z.

(175 - 2*z)*$20 + z*$60 =  $117,000 - $112,500

(175 - 2*z)*$20 + z*$60 = $4,500

$3,500 - z*$40 + z*$60 = $4,500

$3,500 + z*$20 = $4,500

z*$20 = $4,500 - $3,500 = $1,000

z = $1,000/$20 = 50

Entonces tenemos 50 balones de los que cuestan $40.

Usando la ecuación y = 175 - 2*z podemos encontrar el valor de y.

y = 175 - 2*50 = 75

Entonces tenemos 75 balones de los que cuestan $30.

Usando la ecuación x = 1125 - y - z podemos encontrar el valor de x.

x = 1125 - 75 - 50 = 1000

tenemos 1000 balones de $20.


Related Questions

Which student has the greater median test score?

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Answer:

amy, since the middle term is further up the graph

Step-by-step explanation:

median is the middle term, amy's middle term is further

1. Find the perimeter of the figure. Each unit is 1 centimeter​

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Answer:

20

Step-by-step explanation:

count the sides of the boxes for each side of the shape

What integer is closet to n​

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Answer:

Rounding to the Nearest Integer

The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).

. Add+18 and -32
please help urgent

Answers

Answer:

-14 is the answer

Step-by-step explanation:

Since 18+(-32) is the same as 18-32, the answer would be negative. When you subtract 32 by 18, you get 14. Moreover, you have to know which side is greater. If the integer is more on the left, meaning the negative side, then your sum of 18-32 is negative.

I know it's hard for people to understand me but I've tried my best to explain it to you. :)

2–1 × 22 × 2–1 is equal to

Answers

Answer:

43

Step-by-step explanation:

2-1=1

1x22=22

22x2=44

44-1=43

HELPPPPPP PLEASEEEE NEED A ANSWER

Answers

Answer:

It's A

Step-by-step explanation:

PLEASE HELP!
Complete each table, then graph the equation
y=x+6
-1
2
0
2
4

Answers

For -1:

y = x + 6

y = 5

( -1, 5)

For 0:

y = x + 6

y = 6

(0, 6)

For 2:

y = x + 6

y = 8

(2,8)

For 4:

y = x + 6

y = 10

(4,10)

Lannister checks out 6 set of books from the library each set has the same number of books she reads 7 of the books and she has 11 books left to read how many books are in each sets

Answers

Answer:

3

Step-by-step explanation:

Lannister checks out 6 sets of book

Each set had the same number of books

She reads 7 books and has 11 more to go

Therefore the number of books in each set can be calculated as follows

= 11+7

= 18

18/6

= 3

Hence there are 3 books in each set

Help me pleaseeeessss

Answers

Answer:

28/53

Step-by-step explanation:

Hey There!

So they want us to find the sine of angle S

well remember is sohcahtoa

S - sine

O - opposite

H - hypotenuse

meaning that

[tex]Sin=\frac{opposite}{hypotenuse}[/tex]

The opposite side of angle S is 28 and the hypotenuse is 53

so [tex]sinS=\frac{28}{53}[/tex]

PLEASE HELP ME WITH ALGEBRA! THANK YOU

Answers

Answer:

She will do 61 sit ups.

Step-by-step explanation:

The number of situps are increasing by 4 each day.

So at this rate...

Day 6: 37

Day 7: 41

Day 8: 45

Day 9: 49

Day 10: 53

Day 11: 57

Day 12: 61

wouldn’t it be 61 sit ups on day 12.

Rachels company invest 2200 for her each year she works for the company. The investments earns 2.3% simple interest each year. Rachel has worked for this company for one year how much is her investment worth?

Answers

Answer:

Step-by-step explanation:

2250.6

Rachel's investment is worth $2251.60 after the first year.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

The investments earn 2.3% simple interest each year.

The interest earned in the first year is calculated as follows:

Interest = (2.3/100) x $2200

Apply the multiplication operation, and we get

Interest  = $51.60

So, Rachel's investment is worth $2200 + $51.60 = $2251.60 after the first year.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ6

Three friends go out to dinner. Abby gets a hamburger that costs $8.25,
Maya gets pasta that costs $10.50, and Kayla gets chicken fingers that
cost $6.85. Abby has a coupon for 15% off that she agrees to let
everyone use. Rounded to the nearest dollar, what is the total cost of
the meal, including the discount?

Answers

Answer:

Total: $21.76

Step-by-step explanation:

Abby: 8.25

Maya: 10.50

Kayla: 6.85

Since Abby has a coupon for 15% we would multiply each meal by 15% to see how much money will be taken off by the coupon.

Abby: 8.25 x 0.15= 1.24

Maya: 10.50 x 0.15=1.58

Kayla: 6.85 x 0.15=1.02

Next subtract the amount of money taken off by the coupon by each meal.

Abby: 7.01

Maya: 8.92

Kayla: 5.83

Total: $21.76

Solve the equation.

3x + 2(4x − 6) = 8x + 1

Please help :) also have a good day :D
What is the value for x?

Please enter fractional values in the form ‘a/b’. For example, an answer of [tex]\frac{1}{3}[/tex] will be entered as 3/4.
x =

Answers

Answer:

3x + 2(4x − 6) = 8x + 1

3x + (8x-12)=8x+1

-12=19x+1

-11=19x

-11/19     (Im pretty sure i did this right but at the same time im not, im sorry if i got this wrong)

Answer:

=13/3

Step-by-step explanation:

1. Distribute

3+2(4−6)=8+1

3+8−12=8+1

2. Combine like terms

3+8−12=8+1

11−12=8+1

3. Add 12 to both sides of the equation

11−12=8+1

11−12+12=8+1+12

4. Simplify

11=8+13

5. Subtract 8x from both sides of the equation

11=8+13

11−8=8+13−8

6. Simplify

3=13

7. Divide both sides of the equation by the same term

3=13

3x÷3=13÷3

8. Simplify

If you cancel terms that are in both the numerator and denominator you will get:

=13/3

I hope this helps

Mark is buying a car for $5,750. He is able to make a down payment of $1,500 and will be making monthly payments of $250. Write an explicit rule and use the rule to find out how many months it will take Mark to pay off his car.

Answers

Answer:

5750 = 1500 + 250x

17 months

Step-by-step explanation:

Let x represent the number of months it would take to pay for the car

the total cost of the car is a function of the down payment and the monthly payments

$5750 = $1500 + 250x

to solve for x, collect like terms

5750 - 1500 = 250x

4250 = 250x

Divide both sides by 250 to find x

x = 17 months


The cost of grapes was $0.75 a pound. Dan bought 4.6 pounds.

Answers

Answer:

$3.45

Step-by-step explanation:

cost of grapes x quantity

Answer:

8.20

Step-by-step explanation:

4x0.75=3

3+4=7

0.6=60%

60% of 0.75= 0.45

0.75+0.45=1.20

7+1.20=8.20

Q3
A group of scientists collected data on 700 birds in the area. They determined that
12 out of every 35 birds were blue. Based on the results of the study, how many
birds in the population were NOT blue? (7.60. SS, RCA)

Answers

Answer: 240 birds are blue

Step-by-step explanation:

Takes 35 x 2=70 so 20 x 35 is 700 then do 12 x 20 and your answer is 240

if the probaility that it will rain tomorrow is 1/5 what is the probaility that it will not rain tomorrow

Answers

Answer:

4/5 would be the answer....

what is 5 5/7 x 3 1/5?

Answers

Uvbkkvh da ddgsdghdssss cvgghvccf video yvtyvvvxsa smiths game brainstorm benefactor uninhibited

If 12 books cost Ghana cedis 54.84, what is the cost of one book​

Answers

The answer is 12 because 54.84/12 equals 4.57

Which operation will isolate the variable?

17b = 54 :

addition

subtraction

multiplication

division

Answers

Answer:

Division

Step-by-step explanation:

here's your process

=>. it is your equation 17b = 54

=> now divide 17 on both side

=> then we get 17b/17 = 54/17

=> hence , we get b = 54/17

=>now b is isolated by the method of division

hope it helps

Maram works in a toy store that sells bags of marbles. He puts 10 marbles in each bag, and 4/10 of the marbles are striped. If Maram makes 3 bags of marbles, how many striped marbles does she need?

Answers

Answer:

Step-by-step explanation:

Maram works in a toy store that sells bags of marbles. He puts 10 marbles in each bag, and 4/10 of the marbles are striped. If Maram makes 3 bags of marbles, how many striped marbles does she need?

We have:

10 marbles in each bag

Please help!!

Choose whether the sampling is biased or unbiased

Questions are asked of randomly chosen workers at one of ten workplaces

1. Unbiased
2. Biased

The question asked is, “What do you think about the prison system in this state?”

1. Unbiased
2. Biased

The question asked is, “What do you think about the horrible prison system in this state?”

1. Unbiased
2. Biased

Answers

1. biased

2.unbiased

2. biased prisoners should be treated equally and the system is messed up

The measures of Z1 and 22 are 30% and 45% of the sum of the angle measures of the triangle. Find
the value of x.

Answers

Answer:

45 degree or 25%

Step-by-step explanation:

sum of angles of triangle= 180 so

[tex]180*\frac{30}{100}=54[/tex]-----> angle 1

(note: 30% is equal to [tex]\frac{30}{100}[/tex])

[tex]180*\frac{45}{100} =81[/tex]------> angle 2

lets add angle 1 and 2 together

54+81=135

now lets subtract it from 180 to get the remained angle

180-135=45 and if you want it in % so you just get 100%-(30%+45%)= 25%

Each patron can borrow the books for 2 weeks and a renew the loan twice. What is the maximum number of days can a patron keep the books he borrowed from the library?

Answers

42 days.

explanation:

2 weeks is 14 days.

if you can renew the loan twice, that’s adding two weeks onto the loan per renewal.

4 weeks is 28 days.

2 weeks plus 4 weeks is 6 weeks.

6 weeks = 42 days, because 6 * 7 =42

I have to study for a test. It's for data management. Does anyone have tips? (Grade 7)

Answers

Studying: Use resources.

If your studying for a test, use some resources, like quizizz, quizlet, flashcards, or the internet. If you do, ask your parents for help. Think it like its your big test, and your studying a lot. If you study and try, you'll pass the test on data management. If you need it, ask your teacher for tutoring or practice some data management questions. Studying will help you not to fail a test.

Now, we'll talk about before the test.

Before test: Rest, eat breakfast, and stay calm.

Step-by-step explanation: Going to bed before a test can prevent you from going to sleep. For example, GMAS (for me) is coming soon, and my teacher encourage us to rest, eat breakfast and stay calm. A recommended time for you to go to bed is 8:00-9:30.

Now, about breakfast.

Eating breakfast is also important because you can perform better, in fact, scientists say that if students eat breakfast before a test or exam, they will perform better! Whatever you do, don't skip breakfast. If you do, you won't perform good, and theirs a chance you could fail.

Now, staying calm is the big one.

If your freaking out, stay calm, say a prayer and get your work done! Staying calm is the big one because most students (I am one of them) get worried if they're gonna fail. Keep this in mind: Try. Your. Best. If you don't try, you won't achieve anything. And please don't cheat. If you cheat, you'll have to repeat the whole grade. Can't cheat in college; you'll get kicked out.

During test: DO. NOT. CHEAT.

CHEATING WILL GET YOU KICKED OUT OF COLLEGE AND YOU'LL AUTOMATICALLY FAIL!!! If your computer prevents you from going to other sites, that is good, but don't pull out ANY study guides or notes during your test, unless it's open-notes. If you don't know a questions, skip it and go to the next one. Then go back, it will come to mind later. If your done with your test early, check your answers. Look back and think, "Is this correct?"

Hope you do good on your test!

~ Lily, from Brainly.

Simplify the expression.

16(1/2x)^4
The simplified expression is

Answers

Answer:

[tex]\large\boxed{\mathtt{x^{4}}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to simplify the expression.}[/tex]

[tex]\large\underline{\textsf{According to PEMDAS;}}[/tex]

[tex]\textsf{We should first remove the exponent by multiplying the values in the parentheses}[/tex]

[tex]\textsf{by themselves 4 times.}[/tex]

[tex]\tt (x+1)^{4}=(x+1)\times(x+1)\times(x+1)\times(x+1)[/tex]

[tex]\textsf{Evaluate the product, then multiply that product by 16.}[/tex]

[tex]\large\underline{\textsf{Remember that PEMDAS is;}}[/tex]

[tex]\textsf{Parentheses first; (?)}[/tex]

[tex]\textsf{Exponents next;} \ \tt y^{2}[/tex]

[tex]\textsf{Multiplication or Division next;} \ \mathtt{ \times / \div}[/tex]

[tex]\textsf{Addition or Subtraction last;} \ \mathtt{ +/-}[/tex]

[tex]\textsf{PEMDAS is \underline{always} in this order.}[/tex]

[tex]\large\underline{\textsf{For our Expression;}}[/tex]

[tex]\tt 16(\frac{1}{2} x)^{4}[/tex]

[tex]\underline{\textsf{This expression is the same as;}}[/tex]

[tex]\tt 16 \times (\frac{1}{2}x \times \frac{1}{2}x \times \frac{1}{2}x \times \frac{1}{2}x)[/tex]

[tex]\textsf{According to PEMDAS, simplify what's in the parentheses first.}[/tex]

[tex]\underline{\textsf{We should have;}}[/tex]

[tex]\tt 16 \times (\frac{1}{16}x^{4})[/tex]

[tex]\textsf{16 and 1/16 are reciprocals, so they \underline{cancel} each other out.}[/tex]

[tex]\large\underline{\textsf{Hence, our final answer should be;}}[/tex]

[tex]\large\boxed{\mathtt{x^{4}}}[/tex]

Please tell me the answer!! I NEED IT NOW ILL GIVE 20 points PLEASE!!

Answers

Answer:

i pretty sure its the last one

Step-by-step explanation:

Answer:

what chu say?

Step-by-step explanation:

Zair has 48 marbles in his pocket. He has 3 more blues than the
yellow ones, and 4 times as many yellows as the red ones. How
many of each colored marble is there?

Answers

Answer:

# yellow = 20

# blue = 23

# red = 5

Step-by-step explanation:

let 'r' = # red marbles

let '4r' = # yellow marbles

let '3+4r' = # blue marbles

r + 4r + 3 + 4r = 48

9r + 3 = 48

9r = 45

r = 5

red = 5

yellow = 4(5) = 20

blue = 3+4(5) = 23

Given that £1 = $1.58
a) How much is £920 in $?
b) How much is $553 in £?​

Answers

A) £920 in dollars is approximately around $1,280.84
B) $553 in Pounds is approximately around £192.06.
Sorry if it’s wrong I haven’t done much with dollars and pounds

find the perimeter using Pythagorean theory

Answers

Answer:

Perimeter: 32

X = 5

Step-by-step explanation:

If you draw a line to make the triangle the longer leg is equal to 4 then the shorter leg is 3 since your subtracting 13 - 10 to get 3 for the shorter leg. you use Pythagorean theorem that would equal 3^2 + 4^2 = 25 if you take the square root of 25 its 5. So now you know x = 5. Then add all the sides together to get the perimeter.

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