1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shtirl [24]
3 years ago
12

A furniture company makes large and small chairs. A small chair takes 20 minutes of machine time and 60 minutes of labor to buil

d. A large chair takes 50 minutes
of machine time and 90 minutes of labor to build. The company has 66 hours of labor time and 30 hours of machine time available each day. How many of each
type of chair is built in a day?
Mathematics
1 answer:
bixtya [17]3 years ago
4 0

9514 1404 393

Answer:

  30 small chairs and 24 large chairs

Step-by-step explanation:

Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...

  20x +50y = 30×60

  60x +90y = 66×60

Removing common factors, these can be written in standard form as ...

  2x +5y = 180

  2x +3y = 132

Subtracting the second equation from the first gives ...

  2y = 48

  y = 24 . . . . . divide by 2

Using the first equation to find x, we have ...

  2x +5(24) = 180

  2x = 60 . . . . . . . . . . subtract 120

  x = 30 . . . . . . . . divide by 2

The company can build 30 small chairs and 24 large chairs in a day.

You might be interested in
Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 6 minutes long.
givi [52]
<h2>Hello!</h2>

The answer is: There are a total of 16 skits in the video.

<h2>Why?</h2>

From the statement, we know that the total length of the video is 101 minutes and it contains a 5-minute introduction, the rest of the minutes are short skits (which are 6 minutes long each one).

So, we need to write the following equations:

First equation:

TotalDuration=Introduction+n*Skit

Second equation:

Skit=6Minutes

Where,

TotalDuration=101Minutes\\Introduction=5Minutes\\n=NumberOfSkits\\Skit=6Minutes

So, replacing and substituting the second equation into the first equation we have:

101Minutes=5Minutes+n*6Minutes\\n*6Minutes=101Minutes-5Minutes\\n*6Minutes=96Minutes\\n=\frac{96Minutes}{6Minutes}=16

So, there are a total of 16 skits in the video.

Let's prove it substituting "n" into the first equation:

101Minutes=5Minutes+16*6minutes\\101Minutes=5Minutes+96Minutes\\101Minutes=101Minutes

Have a nice day!

8 0
3 years ago
Levi is going to see a movie and is taking his 5 kids. Each movie ticket costs $14 and there are an assortment of snacks availab
olga nikolaevna [1]

Answer:

Levi would have to pay $94 if he bought all 5 kids movie tickets and 6 snacks for everyone to share (god that's a lot of money for a movie)

Step-by-step explanation:

3 0
3 years ago
9e^x-240=6e^x+270 what is the solution
zmey [24]

e^x=170

because you subtract like terms (or add, it depends) then simplify (im bad at explaining)

4 0
3 years ago
Tell whether the angles are complementary, supplementary or neither m^3=27, m^4=63
Fofino [41]
Supplementary is when it is a straight line that is equal to 180 degrees and complementary is a right angle which is 90 degrees
4 0
3 years ago
Read 2 more answers
Sweets are sold loose or pre packed in 120 G bags. The 120 G bags are 1.49 pounds each By calculating the price per gram determi
Karo-lina-s [1.5K]

Complete question :

Sweets are sold loose, or pre-packed in 120g bags.The 120g bags are £1.49 each.The loose sweets are £0.89 for 100g.

By calculating the price per gram, determine which is better value.

Answer:

100 g bag

Step-by-step explanation:

For the 120g bag:

Price per gram :

Price / Numbe of gram

1.49 / 120 = 0.0124 gram per bag

For the 100 g bag :

0.89 / 100

= $0.0089per gram

Since $0.0089 is < $0.0124

Then the 100g bag is of better value

8 0
3 years ago
Other questions:
  • Chris has $63 to spend on the order, including tax. The tax at the restaurant is 5%. What is the maximum cost of food the group
    11·1 answer
  • Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the l
    12·1 answer
  • Kim orders catering from Midtown Dinerfor $35. She spends $5 on a large order of potato salad and the rest on turkey sandwich. E
    8·1 answer
  • Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.
    13·1 answer
  • Factor this polynomial expression.
    6·1 answer
  • The net of a triangular prism is shown below.
    15·2 answers
  • If a car travels 81
    8·1 answer
  • Please help me! please!
    13·1 answer
  • -2 (x + 4) – (3x – 8)<br> What it equals
    15·2 answers
  • The domain for f(x) is all real numbers ___ than or equal to 2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!