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algol13
2 years ago
11

A battery factory typically produces 12,000 batteries per day and uses 50 boxes for packing the batteries. If the number of boxe

s needed for packing is proportional to the number of batteries produced, how many more boxes would be needed on a day when 18,000 batteries are produced?
Mathematics
1 answer:
weqwewe [10]2 years ago
4 0

Answer:

25 more boxes is needed

Step-by-step explanation:

12000 batteries require 50 boxes. Let's find the unit rate.

That is, how many batteries are in each box??

That's 12,000/50!

12,000/50 = 240 batteries per box

Now, to find how many boxes we would need for 18,000 batteries, we will have to divide the total (18000) by 240(number of batteries per box). That is:

18,000/240 = 75 boxes

We would need 75 boxes to pack 18,000 batteries.

We want "how many MORE boxes needed", so we will the excess:

75 - 50 = 25 more boxes is needed

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To make f continuous at x=2 , f(2) should be defined as what value? Justify your answer.
yawa3891 [41]

Answer:

To make f continuous at x=2, f(2) should be defined x = 2.

Step-by-step explanation:

A function, let say f(x), is defined at x = c is continuous at x = c

If the limit of f(x) as x approaches c is equal to the value of f(x) at  x = c.

Mathematically it is written as:

if

\lim _{x\to c}\:f\left(x\right)=f\left(c\right)

then

f(x) is continuous at  x = c.

So from the above definition, we conclude that:

To make f continuous at x=2, f(2) should be defined x = 2.

i.e.

if

\lim _{x\to 2}\:f\left(x\right)=f\left(2\right)

then

f(x) is continuous at  x = 2.

8 0
1 year ago
The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an eq
horsena [70]

Answer:

The height of the statue is 152 feet

Step-by-step explanation:

<u><em>The complete question is :</em></u>

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Let

h ----> the height of the statue in feet

p ---> the height of the pedestal in feet

we know that

h+p=305 ----> equation A

h+153=h+p ---> equation B

so

substitute equation A in equation B and solve for h

h+153=305

subtract 153 both sides

h=305-153

h=152\ ft

7 0
1 year ago
Customer: "I buy the same items every week and my bill is normally $90.00. Why am I now being charged $108.00 for the exact same
scZoUnD [109]
18
108.00- 90.00= 18.00
7 0
2 years ago
in a circle graph above you can see that 47 percent of the companys monthly income is used to pay the owners personal salary if
Marizza181 [45]
The first thing you have to do is to divide the personal income by the percen it takes up

<span>2,176.10/47=46.3

that means that 46.3 is 1% of the whole, so if we multiply it by 100 you will get the whole
</span>
46.3*100=4630

so the answer is

4,<span>630</span>
6 0
1 year ago
Jabari is thinking of three numbers. The greatest number is twice as large as the least number. The middle number is three more
Likurg_2 [28]

Answer:

  18, 21, 36

Step-by-step explanation:

Let L represent the least number. Then the greatest is 2L and the middle number is (L+3). Their sum is ...

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  L = 18 . . . . . . . . . . . divide by 4

  L+3 = 21

  2L = 36

The numbers are 18, 21, and 36.

5 0
1 year ago
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