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Rudik [331]
3 years ago
6

A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint

, and 9 hours to fire. A tree takes 14 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 17 hours to paint, and 7 hours to fire. If the workshop has 127 hours for prep time, 104 hours for painting, and 133 hours for firing, how many of each can be made?
Mathematics
2 answers:
Evgen [1.6K]3 years ago
8 0
Wreaths- 42 prep,  52 painted, 14 fired
Trees- 9 prep, 34 painted, 33 fired
Sleighs- 31 prep, 6 painted, 19 fired

How many can be made:
Wreaths= 14
Trees= 9
Sleighs= 6
Vanyuwa [196]3 years ago
4 0
If all things can be made at the same time, then it would look something like this(all numbers should be rounded down):

127 of Prep: Wreath:127/3 = 42 prepped
127 of Prep: Tree:127/14 = 9 prepped
127 of Prep: Sleigh:127/4 = 31 prepped

104 of Painting: Wreath:104/2 = 52 painted(but because only 42 were prepped, your number will be 42 still)
104 of Painting: Tree:104/3 = 34 painted(As stated above, but with only 9)
104 of Painting: Sleigh:104/17 = 6 painted(this number will overwrite the number of prepped sleighs as only 9 could be painted in the allotted time.)

133 of Firing: Wreath:133/9 = 14 ready to go
133 of Firing: Tree:133/4 = 33(but only nine were painted so the number ready to go is 9) 
133 of Firing: Sleigh:133/7 = 19(but only 6 are ready to go)

Final Results: Wreath - 14
                       Tree - 9
                      Sleigh - 6
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<u>It's not clear what is the specific requirement of the question, but I'll assume a couple of situations to help you with your real problem.</u>

Answer:

$45 (qualified)

$30 (did not qualify)

Step-by-step explanation:

<u>Percentage Calculations</u>

Relative quantities are usually expressed as percentages (%). We say x percent of y is the proportion xy/100. When discounts or surcharges are applied, they are subtracted or added to the original quantity.

The question explains I receive a 10% discount off the original selling price if the total cost plus shipping is greater than $35. Let's assume the total cost plus shipping is $50. Since it's greater than $35, it qualifies for a discount. The discount is 10% of $50 = (10)(50)/100= $5. So the new total cost will be $50 - $5 = $45

Let's suppose now the total cost+shipping is $30. Since it's not greater than $35, no discount will be applied and we have to pay $30

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3 years ago
If the equation of a circle is (x + 5)2 + (y - 7)2 = 36, its radius is:
andrey2020 [161]

Answer:

6

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3 years ago
The loaves of rye bread distributed to a local store by a certain bakery have an average length of 30 centimeters and a standard
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Answer:

79.91% of loaves are between 26.94 and 32.18 centimeters

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 30, \sigma = 2

What percentage of loaves are between 26.94 and 32.18 centimeters

This is the pvalue of Z when X = 32.18 subtracted by the pvalue of Z when X = 26.94.

X = 32.18:

Z = \frac{X - \mu}{\sigma}

Z = \frac{32.18 - 30}{2}

Z = 1.09

Z = 1.09 has a pvalue of 0.8621

X = 26.94:

Z = \frac{X - \mu}{\sigma}

Z = \frac{26.94 - 30}{2}

Z = -1.53

Z = -1.53 has a pvalue of 0.0630

0.8621 - 0.0630 = 0.7991

79.91% of loaves are between 26.94 and 32.18 centimeters

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