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Rashid [163]
3 years ago
15

A factory produces bottled water at a rate of 2,000 cases per hour. They know that 1.14% of the cases must be rejected because a

t least one bottle was damaged in the production line.
a. express the percent as a rate per 100.

b. write and solve a proportion to find how many cases are rejected each hour during production.
Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0
1.14 per 100 or 1.14:100 or \frac{1.14}{100}

\frac{1.14}{100} =  \frac{n}{2000}

I will multiply the numerator by 20 because multiplying by 20 is how 100 became 2000
22.8 cases are rejected per hour.
You might be interested in
1. The sum of the three consecutive members of the geometric sequence is 13. The proportion of the third and the first member is
aev [14]
If a = first term and r = common ratio we have

a + ar + ar^2 = 13   and ar^2 / a = r^2 = 9

so r = 3

and a + 3a + 9a = 13 
so a = 1

so they are  1,3 and 9 

2.
in geometric series we have

4 , 4r ,4r^2 , 60

Arithmetic;
 4,  4r , 4r + d ,  4r + 2d

so we have the system of equations
4r + 2d = 60
4r^2 = 4r + d
From first equation
2r + d = 30 
so d = 30 - 2r 
Substitute for d in second equation:-
4r^2 - 4r - (30-2r) = 0
4r^2 - 2r - 30 =0

2r^2 - r - 15 = 0
(r - 3)(2r + 5) = 0
r  = 3 or -2.5
r must be positive so its = 3
and d = 30 - 2(3) = 24

and the numbers are 4*3 =  12 , 4*3^2 = 36

first 3  are  4 , 12 and 36  ( in geometric)
and last 3 are 12, 36 and 60  ( in arithmetic)

The 2 numbers we ause are 12 and 36.





7 0
3 years ago
Need answer to 2/3+5/4
Anna11 [10]

Answer:

23/12 or 1 and 11/12

Step-by-step explanation:

Your first step is that you need to gain a common denomitor. In this scenario, this is 12. To get this, you can either go through the given factors such as 3 having the factors of 6, 9, and 12 and 4 having the factors of 8, and 12.

Another method is the multiply the two given denominators together, but there are certain instances where you shouldn't do that.

Now that you have a common denominator, you need to change the numerators to accomadate the denominators. For 3 to turn into 12, you need to multiply it by 4, thus you have to do the same to the numerator. For 4 to turn into 12, you need to multiply it by 3. This will give you these two new fractions:

8/12 + 15/12

Add the numerators to get 23/12 and then simplify the two numbers to get the mixed number of 1 and 11/12.

Hope this helps!

8 0
3 years ago
Read 2 more answers
17/18 - 8/9 equal out to
Nutka1998 [239]
\frac{17}{18}-\frac{8}{9}=x
You must find a common denominator(bottom)
\frac{8}{9}×\frac{2}{2}=\frac{16}{18}
\frac{17}{18}-\frac{16}{18}=\frac{1}{18}
Your answer is x=\frac{1}{18}
8 0
3 years ago
The circle below is centered at (3, 1) and has a radius of 2. What is its
saw5 [17]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
What is the number of possible combinations of 14 objects taken 3 at a time?
maria [59]

Answer:

364.

Step-by-step explanation:

14C3 = 14! / 11! 3! which simplifies to:

14*13*12 /3*2*1

= 14*13* 2

= 364.

6 0
3 years ago
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