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iren2701 [21]
2 years ago
9

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bo

ttles could 10 such machines produce in 4 minutes?(A) 648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800
Mathematics
1 answer:
Furkat [3]2 years ago
4 0

Answer: B

Step-by-step explanation:

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. Since the machines are identical and running at the same constant rate, it means each of them as the same rate. The rate of each machine can produce would be determined by dividing the combined unit rate by 6. It becomes

270/6 = 45 bottles per minutes

The rate for 10 machines running at the same constant rate would be

10 × 45 = 450 bottles per minutes.

If the 10 machines produce 450 bottles per minutes, then,

In 4 minutes, the 10 machines will produce 4 × 450 = 1800 bottles

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Match each expression to its equivalent standard form.
Aleksandr [31]

Let's expand the products they are all in the form

(a+b)(a-b)=a^2-b^2

For the first one we have a=x and b=2i:

(x+2i)(x-2i)=x^2-(2i)^2=x^2+4

For the second one we have a=x-2 and b=2i:

(x-2+2i)(x-2-2i)=(x-2)^2-(2i)^2 = x^2-4x+4+4=x^2-4x+8

For the third one we have a=x+1 and b=i:

(x+1+i)(x+1-i)=(x+1)^2-i^2=x^2+2x+1+1=x^2+2x+2

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3 years ago
Find the value of x - if x^3-7x² - x = 0<br>a) 17 (b) 71 c) 7<br>d) 1​
S_A_V [24]

Answer:

x = 0

Step-by-step explanation:

x^3-7x^2-x =0\\

Take out common factor

x(x^2-7x-1) = 0

The factor inside the parenthesis cannot be factored

Since there is a common factor that we pulled out of the original equation,

set that x equal to zero and solve

x = 0\\ : Therefore x = 0

6 0
3 years ago
WILL MARK BRANLIEST! find of the volume of the prism round to the nearest tenth if necessary
vodomira [7]

Answer:

The answer is A. 204.7

Step-by-step explanation:

5 0
2 years ago
the ratio of the length of shantels pool to the length of juan's pool is 3 to 5 shantels pool is 30 meters how long is Juan’s po
love history [14]

Step-by-step explanation:

the ratio of the pool lengths is 3/5.

that means for every 3 meters of length on Shantel's pool, there are 5 meters of length on Juan's pool.

it the other way around : to get to the size of Shantel's pool, every 5 meters of length on Juan's pool are converted to 3 meters.

x = length of Juan's pool

x × 3/5 = 30

3x = 150

x = 50 meters

you see the relationship ?

3/5 = 30/50 = 300/500 = ...

but it is true for any factor

3/5 = 15/25 = 24/40 = 6/10 = ...

once you see the factor for one part of the ratio, you know there is the same factor for the other part (or parts) of the ratio. otherwise the ratio would not stay the same and keep the relationship.

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2 years ago
Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt
Viktor [21]

Answer:

(3,-4) or x=3 and y= -4

Step-by-step explanation:

I'm going to solve this by substitution

We first need to get a variable by itself in one of the two equations (it doesn't matter which variable and the equation you do the work on doesn't matter either)

I'm going to solve for y in the second equation

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add 4y and subtract 4 from both sides to get

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Divide by 4 to get

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We can plug this value in for y into the first equation and get

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12+5y= -8

5y= -20

y= -4

Therefore the solution is (3,-4) or x=3 and y= -4

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2 years ago
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