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levacccp [35]
2 years ago
13

An entrepreneur is having a design group produce at least eight samples of a new kind of fastener that he wants to market. It co

sts $6.00 to produce each metal fastener and $10.00 to produce each plastic fastener. He wants to have at least two of each version of the fastener and needs to have all the samples 58 hours from now. It takes 5 hours to produce each metal sample and 4 hours to produce each plastic sample. To minimize the cost of the samples, how many of each kind should the entrepreneur order? What will be the cost of the samples? To minimize the cost of the samples, how many of each type of sample should the entrepreneur order? The entrepreneur should order ___ metal samples and ___ plastic samples.
Mathematics
1 answer:
DerKrebs [107]2 years ago
4 0

Answer:

b

Step-by-step explanation:

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Jarrett's puppy weighed 3 3/4 ounces at Birth. At 1 week old, the puppy weighed 5 1/8 ounces. At 2 weeks old, the puppy weighed
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Answer:  The answer is 7\dfrac{7}{8} ounces.

Step-by-step explanation: Given in the question the weight of Jarrett's puppy at birth, one week old and 2 weeks old are as follows:

b_0=3\dfrac{3}{4}=\dfrac{15}{4}~\textup{ounces},\\\\\\b_1=5\dfrac{1}{8}=\dfrac{41}{8}~\textup{ounces},\\\\\\b_3=6\dfrac{1}{2}=\dfrac{13}{2}~\textup{ounces}.

We can see that

b_1-b_0=b_2-b_1=\dfrac{11}{8}.

So, the weight of the baby will make an arithmetic progression with first term 'a' and common difference 'd' as follows:

b_0=\dfrac{15}{4},~~d=\dfrac{11}{8}.

Thus, the weight of the puupy after 3 weeks will be

b_3=b_0+3\times d=\dfrac{15}{4}+3\times\dfrac{11}{8}=\dfrac{30+33}{8}=\dfrac{63}{8}=7\dfrac{7}{8}~\textup{ounces}.

5 0
3 years ago
Read 2 more answers
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were
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3 chocolates each night

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8 0
2 years ago
Two angles are vertical angles. One is labeled 2x. The other angle is labeled (x+30). Find the value of x.
NeX [460]

2x=x+30

-x    -x

x=30

The value of x is 30

5 0
2 years ago
Study the function below.   f(x) = 4x + 2   Label the function as proportional or non-proportional. Explain your reasoning.
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No because it has to pass the origin of (0,0) but it is 2 units above the origin (0,2) so it will never cross it proportionally. 
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3 years ago
If a pair of perpendicular lines are rotated, which is true?
Rzqust [24]

The <em>correct answer</em> is:


D) Rotated perpendicular lines always remain perpendicular lines.


Explanation:


Perpendicular lines, by definition, meet at a 90° angle.


As long as both lines are rotated the same direction and the same angle, then the angle between the two lines will not change. They will continue to be perpendicular, no matter how many degrees or which direction they are rotated.

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3 years ago
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