answer.
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
Sever21 [200]
2 years ago
11

A furniture manufacturer produces chairs and sofas. Each chair requires 10 yards of fabric, and each sofa requires 20 yards of f

abric. The manufacturer has 300 yards of fabric available. To fulfill orders, the number of sofas must be at least twice the number of chairs.
Mathematics
2 answers:
tia_tia [17]2 years ago
8 0
The manufacturer should make 6 chairs and 12 sofas t o complete this order.

This is a system of equation problems. You need to write 2 equations with the variables and solve them.

The equations are:

10c + 20s = 300
s = 2c

We can solve with substitution.

10c + 20(2c) = 300
10c + 40c = 300
50c = 300
c = 6

If there are 6 chairs, then there must be 12 sofas.
AysviL [449]2 years ago
8 0

y>2x & 10x+20y<300 are the Correct answers.

You might be interested in
A grocer has 2 kinds of tea, one that sells for $8.00 per pound and the other that sells for $6.00 per pound. How many pounds of
Brilliant_brown [7]

Answer:

35 pounds of $8.00 tea and 15 pounds of $6.00 tea

Step-by-step explanation:

Let x represent the pounds of tea of the $8 kind. 8x would represent the total cost of that type of tea. We can also say 50 - x is the pounds of tea of the $6 kind, so 6(50 - x) is the total cost of that type of tea. 50 * 7.4 represents the total cost of all the tea, and the expression 8x + 6(50 -x) would also represent the same thing. We can write this as an equation,

8x + 6(50 -x) = 50 * 7.4

simplify,

8x + 300 - 6x = 370

2x + 300 = 370

and solve.

2x = 70

x = 35

This means there is 35 pounds of the $8 kind.

We can subtract that from 50 to find,

50 - 35 = 15,

15 pounds is the amount of the $6 kind.

3 0
1 year ago
Read 2 more answers
Two forces, F1 and F2, are represented by vectors with initial points that are at the origin. The first force has a magnitude of
Strike441 [17]

Answer:

Step-by-step explanation:

The two force F1 and F2  are represented by vectors with initial points that are at the origin.

the terminal point of the vector is point P(1, 1, 0)

Therefore, the direction of the vector force is

v_1=(1-0)\hat i+(1-0)\hat j +(0-0)\hat k\\\\=1\hat i+1\hat j+0\hat k\\\\=\hat i + \hat j

The unit vector in the direction of force will be

\frac{v_1}{|v_1|} =\frac{\hat i+ \hat j}{\sqrt{1^2+1^2+0^2} } \\\\=\frac{1}{\sqrt{2} (\hat i +\hat j)}

The magnitude of the force is 40lb, so the force will be

F_1=40\times \frac{1}{\sqrt{2} } (\hat i+\hat j)\\\\=20\sqrt{2} (\hat i+\hat j)

The terminal point of its vector is point Q(0, 1, 1)

Therefore, the direction of the vector force is

v_2=(0-0)\hat i+(1-0)\hat j +(1-0)\hat k\\\\=0\hat i+1\hat j+1\hat k\\\\=\hat j + \hat k

\frac{v_2}{|v_2|} =\frac{\hat j+ \hat k}{\sqrt{0^2+1^2+1^2} } \\\\=\frac{1}{\sqrt{2} (\hat j +\hat k)}

The magnitude of the force is 60lb, so the force will be

F_2=60\times \frac{1}{\sqrt{2} } (\hat j+\hat k)\\\\=30\sqrt{2} (\hat j+\hat k)

The resultant of the two forces is

F=F_1+F_2\\\\=[20\sqrt{2} (\hat i+\hat j)]+[30\sqrt{2} (\hat j +\hat k)]\\\\=20\sqrt{2} \hat i+20\sqrt{2} \hat j +30\sqrt{2} \hat j+30\sqrt{2} \hat k\\\\=20\sqrt{2} \hat i+50\sqrt{2} \hat j+30\sqrt{2} \hat k

The magnitude force will be

|F|=\sqrt{(20\sqrt{2} )^2+(50\sqrt{2} )^2+(30\sqrt{2} )^2} \\\\=\sqrt{800+5000+1800} \\\\=\sqrt{3100} \\\\=55.68

to (1 decimal place)=55.7lb

b) The direction angle of force F

The angle formed by F and x axis

\alpha=\cos^{-1}(\frac{20\sqrt{2} }{\sqrt{3100} } )\\\\=\cos^{-1}(0.5080)\\\\=59.469

The angle formed by F and y axis

\alpha=\cos^{-1}(\frac{50\sqrt{2} }{\sqrt{3100} } )\\\\=\cos^{-1}(1.270)\\\\=

The angle formed by F and z axis

\alpha=\cos^{-1}(\frac{30\sqrt{2} }{\sqrt{3100} } )\\\\=\cos^{-1}(0.7620)\\\\=40.359

8 0
2 years ago
NEED HELP FAST!!!!! The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y =
Nata [24]

Answer:

I was on a unit test so i couldn't look at the right answer but i believe it was A but i could be wrong

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the operation used for the following terms: times, product, twice, etc.
Dafna1 [17]
Multiplication, hope I could help!
8 0
2 years ago
Read 2 more answers
A formula for 6 gallon of light green paint use 3/8 gallons of white paint. Liam has 9/16 gallon of white paint. Does liam have
FromTheMoon [43]

Answer:

Yes he have enough white paint.

Step-by-step explanation:

We are given

6 gallons of light green paint use → \frac{3}{8} gallons of white paint

using the unitary method

1 gallons of white paint → 6*8/3 gallons of light green paint

                                        → 16 gallons of light green paint

but Liam have 9/16 gallons of white paint

9/16 gallons of white paint → 16* 9/16 gallons of light green paint

                                             → 9 gallons of light green paint

Yes Liam have enough white paint to make 8 gallons of light green paint.  

3 0
2 years ago
Other questions:
  • There are 150 kangaroos at a wildlife park there are 66 female what percentage is female
    12·1 answer
  • A computer program contains one error. In order to find the error, we split the program into 6 blocks and test two of them, sele
    5·1 answer
  • A master roofer can cover a garage in 1 hour less than the roofer's new assistant.
    10·1 answer
  • A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordere
    6·1 answer
  • How do you simplify 77.28/9.2
    14·1 answer
  • If John has pairs 5 different colors pairs of socks, how many orders can he wear them in over five days? Repetition is allowed b
    15·1 answer
  • Write $\frac{99}{100}\cdot(0.\overline{4})$ as a fully simplified fraction.
    5·1 answer
  • You are painting a room. After 18 minutes, 64% of the room still needs painted. How long does it take to paint the entire room?
    15·1 answer
  • The classroom has 12 9/10 meters of tape in one area of the building, and 8 3/5 meters of tape in another part. How much tape do
    10·2 answers
  • the length of the rectangle is measured as 370mm correct to 2 significant figures.a) what is the upper bound for the length?the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!