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lidiya [134]
3 years ago
10

A toy factory makes 15 teddy bears every 10 minutes. The factory makes teddy bears for 8 hours each work day. What is the fewest

number of work days the factory will need to make 5,000 teddy bears? Write an explanation to show how you determined your answer
Mathematics
1 answer:
Kay [80]3 years ago
6 0
Ok so if they make 15 bears every 10 mins then they will make 90 bears in one hour.

15 x 6 = 90

If they work for 8 hours then they’ll make 720 bears in one work day.

90 x 8 = 720

Let x be the number of days...

720x = 5000

5000 / 720 = 6.9444444.....

Round up because they want the least number of work days

So the answer is 7 work days

Hope this helps! Any questions let me know :)
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What is the value of n in the equation 1/2(n – 4) – 3 = 3 – (2n + 3)?
Travka [436]
Distribute 1/2 to <span>(n – 4):

</span>\frac{1}{2} \times n = \frac{1}{2}n
\frac{1}{2} \times -4 = -2
<span>
Subtract (2n + 3):

</span>- (2n + 3) = -2n -3
<span>
Your equation should now look like this:

</span>\frac{1}{2}n - 2 - 3 = 3 - 2n - 3
<span>
Combine like terms on both sides:

</span>-2 - 3 = -5
3 - 3 = 0
\frac{1}{2}n - 5 = -2n
<span>
Subtract 1/2n from both sides:

</span>-5 = -\frac{5}{2}n
<span>
Divide both sides by -5/2 to get n by itself:

</span>n = 2
<span>
The value of n is 2.</span>
8 0
2 years ago
Read 2 more answers
Julie bought $8.64 worth of 57-cent stamps and 30-cent stamps. The number of 30-cent stamps was 6 less than the number of 57-cen
Yuri [45]

Answer:

The number of 57-cent stamps that Julie bought is 12

Step-by-step explanation:

Given equation

0.57 s + 0.3 ( s − 6 ) = 8.64

Open bracket

0.57s + 0.3s - 1.8 = 8.64

Collect like terms

0.87s = 8.64 + 1.8

0.87s = 10.44

Divide both sides by 0.87

s = 12

The number of 57-cent stamps that Julie bought is 12

3 0
2 years ago
What is 4 over 10 in simplest form
ahrayia [7]
Ok so find 1's

remember that 4/4=1 also x/x=1 those are ones
also remember
if you had
10/30 that equals 10/10 times 1/3=1 times 1/3

so find ones

4/10=2/2 times 2/5=1 times 2/5=2/5
3 0
3 years ago
Read 2 more answers
Given the following expression, what is the rate of decay (write in decimal form, not as a percentage)? 15000 (.87)^7​
34kurt

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

Answer: 0.87

6 0
2 years ago
NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. In an earlier stud
SSSSS [86.1K]

Answer:

The large sample n = 190.44≅190

The  large  sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44

<u>Step-by-step explanation</u>:

Given  population proportion was estimated to be 0.3

p = 0.3

Given maximum of error E = 0.04

we know that maximum error

M.E = \frac{Z_{\alpha } \sqrt{p(1-p)} }{\sqrt{n} }

The 85% confidence level z_{\alpha } = 1.44

\sqrt{n} = \frac{Z_{\alpha } \sqrt{p(1-p)} }{m.E}

\sqrt{n} = \frac{1.44X\sqrt{0.3(1-0.3} }{0.04}

now calculation , we get

√n=13.80

now squaring on both sides n = 190.44

large sample n = 190.44≅190

<u>Conclusion</u>:-

Hence The  large  sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44

7 0
2 years ago
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