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algol13
1 year 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]1 year 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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pantera1 [17]

Here we are given the specific equation of:

amount of eroded soil = 0.4 + 1.3 x

where x is the flow rate

 

A linear equation has a general formula in the form of:

y = m x + b

where m is the slope and b is the y intercept of the equation

 

If we compare this with our specific equation, we can see that the slope and y intercept are both positive with values:

m = 0.4

b = 1.3

Therefore this only means that as the flow rate increases, the amount of eroded soil also increases.

Hence the correlation must be positive but we cannot solve for the exact value since we need the data for x and y.


Answer: 

positive, but we cannot say what the exact value is

4 0
2 years ago
15 points!!!
r-ruslan [8.4K]

Answer:

The correct option is 4.

Step-by-step explanation:

If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.

In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.

In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.

\frac{1}{1}\neq \frac{1}{2}

The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.

Therefore the correct option is 4.

6 0
2 years ago
Read 2 more answers
Suppose you have six people participating in a completely randomized comparative experiment. Three people will receive the treat
Karolina [17]

Answer:

20.

Step-by-step explanation:

This can be solved using combination technique. Since we have to choose 3 out of 6 and their order is not considered. Thus,

6 combination 3

= 6C3

= \frac{6!}{3!*(6-3)!}

= \frac{6*5*4*3!}{3!*3!}

= \frac{6*5*4}{3*2*1}

= \frac{6*5*4}{6}

= 5*4

= 20 ANSWER

3 0
1 year ago
Mr. Schwartz builds toy cars. He begins the week with a supply of 85 wheels, and uses 4 wheels for each car he builds. Mr. Schwa
stealth61 [152]

Mr.Schwartz begins the week with = 85 wheels

Number of wheels used per car = 4

He orders more wheels when less than 40 wheels are left.

Given inequality is = x<40

The minimum number of wheels he can use before ordering more wheels= 85-40=45

So, 45 minimum 45 wheels can be used before ordering more wheels.

4 wheels are used to make = 1 car

45 wheels are used to make = \frac{45}{4}=11.25 cars

If 12 cars are to be build then wheels required will be = 12\times4=48

Beginning number of wheels = 85

Wheels used for making 12 cars = 48

Wheels left = 85-48=37

But as mentioned, Mr. Schwartz orders wheels if they are less than 40, so after building 12 cars, 37 wheels will be left and he will order more.

5 0
2 years ago
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Plzzzz help me<br><br><br><br> In ΔABC, . Complete the proof showing that is parallel to .
Luden [163]

AD*EB=CE*DB because cross multiplication

5 0
1 year ago
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