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gogolik [260]
3 years ago
10

a company dyes two sizes of rugs a small rug requires 8 hours for dyeing and a medium-sized rug requires 12 hours of dyeing the

dryers have to make at least 22 guys ansld that must do it in less than 240 hours let x equal small rugs abd u equal medium rugs state a possible ordered pair solution for the system of inequalities justify mathematically using both inequalities​
Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

C says 8x+12y, but D says 12x+8y, instead of 8x and 12y. The correct answer is C, I guess

Step-by-step explanation:

Let x=small rugs and y=medium rugs. It takes 8 hours to dye a small rug, so you would write 8x. It takes 12 hours to dye a small rug, so you would write 12y. Those two would need to be added together. The dyer needs to dye at least 22 rugs in 240 hours, so you would need a less than or = to sign.

I'm not sure which choice has the line beneath, indicating that the sign is a "less than or equal to" sign, but the answer is gonna be either C or D.

8x+12y≤240, or 12y+8x≤240

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14 is the answer sorry if I get it wrong :/
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In a random sample of 26 residents of the state of Montana, the mean waste recycled per person per day was 2.8 pounds with a sta
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Answer:

The critical value that should be used in constructing the confidence interval is T = 1.316.

The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 26 - 1 = 25

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.8}{2} = 0.9. So we have T = 1.316

The critical value that should be used in constructing the confidence interval is T = 1.316.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.316\frac{0.23}{\sqrt{26}} = 0.059

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.8 - 0.059 = 2.741 pounds

The upper end of the interval is the sample mean added to M. So it is 2.8 + 0.059 = 2.859 pounds.

The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.

4 0
3 years ago
Eric made a scale drawing of the middle school. The scale he used was 1inch=5feet. If the gym is 30 inches by 20 inches in the d
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Answer: 150 feet : 100 feet

Step-by-step explanation:

From the question, we are informed that the scale used by Eric was 1inch=5feet.

If the gym is 30 inches by 20 inches in the drawing, the acual length and width of the gym would be:

Length = 30 inches = 30 × 5 feet = 150 feet

Width = 20 inches = 20 × 5 feet = 100 feet

Therefore, the acual length and width of the gym would be 150 feet by 100 feet

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3 years ago
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When stone hits the ground, it's height will be zero, and since we're finding the time that's required for the stone to hit the ground, we can set h = 0 and solve for t.

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A temperature of 3225 °F will melt platinum. Gold melts at a temperature of 1947.974 °F.
sertanlavr [38]

Questions like this ("how much higher is x than y?") are answered by computing the ratio of the two quantities.

In fact, for example, the answer to "how much higher is 10 than 5?" is 2, because 10:5 = 2, and indeed 10 is twice as much as 5.

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So, the melting temperature of platinum is about one time and a half higher than the melting temperature of gold.

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