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andriy
1 month 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:
PIT_PIT [12.4K]1 month ago
8 0
The correct answers are y>2x and 10x+20y<300.
lawyer [12.5K]1 month ago
8 0
To fulfill this order, the manufacturer needs to produce 6 chairs and 12 sofas. This is a problems involving a system of equations. You can create two equations using the variables and solve them. The equations are: 10c + 20s = 300 and s = 2c. Using substitution, we can solve: 10c + 20(2c) = 300, which simplifies to 10c + 40c = 300. This leads to 50c = 300, resulting in c = 6. Therefore, if there are 6 chairs, it follows that there must be 12 sofas.
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XY= 2x +1, YZ= 6x, and XZ=81
tester [12383]
 x = 27 + 3 √ 129/ 4, 27 − 3 √ 129/ 4

Please note: the entire equation mentioned is divided by 4, not only the last term. 

 x approximates to 15.26836251, − 1.76836251

That concludes my response. I hope this is helpful. You will still need to work on finding y and z, which can be quite challenging:)
8 0
2 months ago
Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day’
Leona [12618]
Detailed explanation: If the class has 15 boys and 10 girls, this totals 25 students. The likelihood of selecting a girl first would be \frac{10}{25}. After that selection, there would be one fewer girl and overall student, resulting in the probability for choosing another girl being \frac{9}{24}. The final probability is obtained by multiplying these two results to yield \frac{10}{25}*\frac{9}{24}=\frac{2}{5}*\frac{3}{8}=\frac{3}{20}.
4 0
1 month ago
Read 2 more answers
2. What is the 44th decimal digit in the decimal representation of 1/11 which equals 0.0909090909
tester [12383]
9. Observing the pattern, the decimal digit at position n is 9 when n is even and 0 when n is odd. Because 44 is an even number, the 44th digit after the decimal point is 9.
6 0
3 months ago
Jonathan has 3/4 pound of grapes.how many 1/8pound servings can Jonathan make from his grapes
Inessa [12570]

Response:

6 servings.

Detailed explanation:

To determine this, divide 3/4 by 1/8, here are the steps:

3/4 divided by 1/8

3/4 times 8/1

(3 × 8 = 24); (4 × 1 = 4)

24 divided by 4 results in 6.

I hope this assists! If possible, please grant me brainliest, as I need it to level up! Thank you.

5 0
2 months ago
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