[BRAINLIEST] To manufacture an automobile requires​ painting, drying, and polishing. Epsilon Motor Company produces three types of​ cars, the​ Delta, the​ Beta, and the Sigma. Each Delta requires hours for​ painting, hours for​ drying, and hours for polishing. A Beta requires hours for​ painting, hours for​ drying, and hours for​ polishing, and a Sigma requires hours for​ painting, for​ drying, and for polishing. If the company has hours for​ painting, hours for​ drying, and hours for polishing per​ month, how many of each type of car are​ produced?

Answers

Answer 1

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.


Related Questions

What is an equation of the line that passes through the points (-5, 1)(−5,1) and (5, 3)(5,3)?

Answers

Answer:

x=-5 i think

Step-by-step explanation:

Prognogg
Zoe found 13 large
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Evan found 12 and Layla
found 9. If they share them
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13+12+9= 34
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A baby crawls 2cm/min for 10 mins

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Answer:

So....

Step-by-step explanation:

can you complete your answer please?

if this is asking how many cm the baby traveled in 10 mins, it would be 20 cm.

Increase £200 by 25%

ill give u brainlist

Answers

Answer:

250

Step-by-step explanation:

First we need to find the 25% of £200

200 × 25 ÷ 100 = 50

200 + 50 = 250

This is just a different way of doing it:

Answer: 250

Explanation: 200 x 0.25 = 50 200 + 50 =250

I need someone to teach me the tricks of linear equation​

Answers

Answer:

of what exactly and thanks for the points

amber simplified the expression (a4+7a−16)−(12a3−5a+3) below. Amber made her first error at what step
.Problem: (a4+7a−16)−(12a3−5a+3)

Step 1: a4+7a−16−12a3+5a−3

Step 2: a4−12a3+7a+5a−16−3

Step 3: −11a+7a+5a−16−3

Step 4: −11a+12a−16−3

Step 5: −11a+12a−19

Answers

Answer:

Step 3.

Step-by-step explanation:

Step 3

She  wrote that a4 - 12a3 = -11a.

a4 and 12a3 are unlike terms so they cannot be added.

please help i will give brainliest

Answers

-1 I think but okay................

Bella pays 7 payments of $5 each to a game stores. she returns one game and receive $20 back. what is the change to the amount of money she has ?

Answer: The change to the amount of money she has is -$15 because
she has $15 less than she started with

Answers

Answer:

Answer: The change to the amount of money she has is -$15 because

she has $15 less than she started with

Step-by-step explanation:

Answer:

Bella pays 7 payments of $5 each to a game stores. she returns one game and receive $20 back. what is the change to the amount of money she has ?

Answer: The change to the amount of money she has is -$15 because

she has $15 less than she started with

Step-by-step explanation:

Bella pays 7 payments of $5 each to a game stores. she returns one game and receive $20 back. what is the change to the amount of money she has ?

Answer: The change to the amount of money she has is -$15 because

she has $15 less than she started with

Help me
in this question

Answers

hello

Step-by-step explanation:

paano nga Ito???

mplify the expression:
| 5q + 84 - 94 + 84

Answers

Answer:

5q+74

Step-by-step explanation:

84-94 first which equals -10

then add that by 84 which equals 74

lastly just bring the 5q and 74 together making your expression

Please help
Almost 9/16 of the total water supplied to a household is used for taking showers. Determine the decimal equivalent of 9/16.

Use words to explain if the decimal terminates or repeats.

Answers

Answer:

0.5625

Step-by-step explanation:

IT terminates because it doesn't repeat forever.

combine like terms -3.6-1.9t+1.2+5.1t

Answers

Combined terms: 3.2t - 2.4

xy+xw+2ay+2aw
factorise this sum

Answers

Answer:

(y+w)(x+2a)

Step-by-step explanation:

im built different

Answer:

(x+2a)(y+z)

Step-by-step explanation:

x(y+z)+2a(y+z)

(x+2a)(y+z)

Vivian scored 8 out of 10 on a quiz. Ramona scored 3 out of 4. Did Vivian and Ramona get equivalent scores? Explain.​

Answers

Answer:

Yes

Step-by-step explanation:

8/10 can be simplified to become 3/4

Six bags of Takis costs $13.50. Five bags of Takis costs $10. Which has
the lower unit price? *
O Six bags
O Five bags

Answers

Answer:

the correct answer is 5 bags

Answer:

Five bags

Step-by-step explanation:

13.50$ — unit price is 2.25$

10$ — unit price is 2$

Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is x +
0.2x.
Which expression is equivalent and why?
O A. (0.2) because the cost of the haircut can be factored out.
B. 1.02x because adding 20% to the cost of the haircut is the same
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C. 1.2x because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x because adding $20 to the haircut is the same as multiplying
the cost by 1.2.

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Answer:

it is c

Step-by-step explanation:

Answer:C.

Step-by-step explanation:

Ape x

Ok so I need help ASAP

Answers

Answer:

S'(-6, 3); T'(-6, 4); U'(4, 4); V'(4, 3)

Step-by-step explanation:

S(-4, 7)

T(-4, 8)

U(6, 8)

V(6, 7)

(x - 2, y - 4)

S'(-4 - 2, 7 - 4)

S'(-6, 3)

T'(-4 - 2, 8 - 4)

T'(-6, 4)

U'(6 - 2, 8 - 4)

U'(4, 4)

V'(6 - 2, 7 - 4)

V'(4, 3)

Katie feeds her cat, Elmer, 2/3 of a cup of food each day. She buys a bag of cat food that contains 18 cups of dry
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Answers

Answer:

27

Step-by-step explanation:

Set up a proportion.

1 day / (2/3 cup) = x/ 18 cups            Cross Multiply

1 day * 18 cups = 2/3 cup * x            Multiply both sides by 3

1 day * 18 cups * 3 = 2x

54 day cups = 2x cups                    Divide by 2

54 day cups/2 cups = x

27 days (The cups cancel)

Answer:

27 days it will last

Step-by-step explanation:

1 point
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Answers

Answer:

882.1

Step-by-step explanation:

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Answers

Answer:

x = 8, y = 4

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , thus

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x × [tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 8

--------------------------------------------------------------

To find y use the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex] , thus

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )

4[tex]\sqrt{3}[/tex] = y × [tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 4

7x - 4 = 24. I need this solved? I don't know what they want. ​

Answers

Answer:

=4

Step-by-step explanation:

La embotelladora La Pingüica llena de refresco cierta
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botellas llenadas sabiendo que la veinticincoava
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rechazaron equivale a 3 640 de los envases. en lengua algebraico ​

Answers

Answer:

No hablo espanol.

puedes escribir en ingles

Step-by-step explanation:

Kaelyn used 2
1
5
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Answers

Answer:

107.5

Step-by-step explanation:

7.5 litters I think

Find the slope of the line y = -5/4x - 2

Answers

Answer:

-5/4

Step-by-step explanation:

y=mx+b

m= slope

b= y-intercept

m= -5/4

I NEED HELP this is way to hard y’all are smarttr

Answers

Answer:

a) 20 yd

b) 10 ft

Step-by-step explanation:

a) 80/4 = 20

b) spare root of 100 = 10

Put it in order yes or no?and how do yk if it is or not

Answers

9514 1404 393

Answer:

  yes, yes, no, no

Step-by-step explanation:

An equation is linear if no term has a variable with an exponent other than 0 or 1. There can be no products of variables.

The equations with terms x³ or x² will not be linear.

(a, b) linear (yes)

(c, d) not linear (no)

Yes yes no no, I believe

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Answers

Answer:

(0.0)

(1,2.75)

A line that goes through the origin represents a proportional relationship.  Since the line passes through zero-zero, it means that the relationship between the number of notebooks and the cost is proportional The unit rate is represented by the point one-y. The point one, two and seventy-five hundredths represents the unit rate, which means each notebook costs two dollars and seventy-five cents.

Answer:

(0.0)

(1,2.75)

A line that goes through the origin represents a proportional relationship.  Since the line passes through zero-zero, it means that the relationship between the number of notebooks and the cost is proportional The unit rate is represented by the point one-y. The point one, two and seventy-five hundredths represents the unit rate, which means each notebook costs two dollars and seventy-five cents.

Step-by-step explanation Hi angry pomerian

Please help.
Solve:
n/2 - 10=6

((Show work))

*Sorry I forgot how to do this, and please answer this correctly*

Answers

Answer:

32

Step-by-step explanation:

(n/2) − 10 = 6

Add 10 to both sides.

n/2 = 16

Multiply both sides by 2.

n = 32

Answer:

n=32

Step-by-step explanation:

n/2 - 10=6

add 10 on both side

n/2 +10-10=6+10

n/2=16

multiply both side by 2

n/2×2=16×2

n=32

A fishing boat has snagged a fish and want to know the depth of the fish. If the there is
18 meters of fishing line out and the angle of depression is 24º, how deep is the fish?
Round the nearest tenth of a meter.

Answers

7.3 meters

Step-by-step explanation:

hypotenuse = 18

angle depression = 24 degrees

missing side = opposite, x

since this has opposite and the hypotenuse were going to use sin

sin(24 degrees) = .40673664307

multiply .40673664307 by the length (18) = 7.32125957526 rounded down =7.3 meters

The depth of the fish is 7.3 meters if the fishing boat has snagged a fish and wants to know the depth of the fish. If there is 18 meters of fishing line out and the angle of depression is 24º.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

A fishing boat has snagged a fish and wants to know the depth of the fish. If there are 18 meters of fishing line out and the angle of depression is 24º

We can draw a right-angle triangle:

From the right-angle triangle:

Let x be the depth of the fish.

As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Applying sin ratio:

sin24 = x/18

x = 18sin24

x = 7.32 meters ≈ 7.3 meters

Thus, the depth of the fish is 7.3 meters if the fishing boat has snagged a fish and wants to know the depth of the fish. If there is 18 meters of fishing line out and the angle of depression is 24º.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

The table shows the number of tacos that Taco Bus sold in 4 months.


Tacos Sold
May
9,325
June
12,832
July
20,005
August
8,465

Part A
Which statements about the table are correct? Select all that apply.
A.


More tacos were sold in June and August combined than in July.
B.


The Taco Bus sold 8,173 more tacos in July than in June.
C.


More tacos were sold in July and August combined than in May and June combined.
D.


In the 4 months, the Taco Bus sold about 500,000 tacos in all.
E.


There were 22,157 tacos sold in May and June combined.
Part B
How many more tacos were sold in July than in May and August combined? Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

A: Correct

June + August > July

12,832 + 8,465 > 20,005

21,297 > 20,005

B: Wrong

July = June + 8,173

20,005 = 12,832 + 8,173

20,005 ≠ 21005

C: Correct

July + August > May + June

20,005 + 8,465 > 9,325 + 12,832

28470 > 22157

D: Wrong

9,325 +12,832 +20,005 + 8,465 = 50627

E: Correct

May + June = 22,157

9,325 + 12,832 = 22,157

22,157 = 22,157

Part B: 2215

July - May + August = ?

20,005 - 9,325 + 8,465 = ?

20,005 - 17790 = 2215

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