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Aleks [24]
3 years ago
14

Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x un

its of product P in 6 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 4 days?
(A) 24
(B) 18
(C) 16
(D) 12
(E) 8
Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0

Answer:

B. 18

Step-by-step explanation:

The 4 machines can produce x units in 6 days. This means they have a daily total rate of x/6 units per day.

Since the machines are similar and that they work at the same rate, this means that the individual rates of each machine would be x/6/4 = x/24 units per day.

Now we are looking at producing 3x units in 4 days. This means that we want to produce 3x/4 units in a single day. Now, since each machine would work at a rate of x/24, we need to know the number of machines we need. To know this number, we simply divide what is to be achieved by the individual rate:

This is 3x/4 divided by x/24. This mathematically means 3x/4 * 24/x = 18 machines

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Solve this expression 5x^2-13x-6
torisob [31]

Answer:

x= -2/5 and x= 3

Step-by-step explanation:

Given equation is,

5x^2 -  13x -  6  = 0

Or, 5x^2 -  15x + 2x -  6  = 0 ( using middle term method)

Or, 5x( x- 3) + 2 (x-3) = 0

Or, (x-3) (5x+2) = 0

Now, x will have 2 answers because it's degree is 2. Total number of values depends on the power of variable.

So, x= 3 or, 5x = -2

             Or, x= -2/5

So, the answer is  x= -2/5 and x= 3.

6 0
3 years ago
Don’t know how to do this soooo pls help:)
Shtirlitz [24]

Divide 15 by 20 and then take that and multiply it by 16 and you'll get 12

when you have a problem like this and you need the smaller triangle measurements then the value from the smaller triangle will be on the top and if you need the larger triangle values then the larger value will be on top to find the ratios and multiply it by the other value from the denominator triangle

8 0
3 years ago
Place these real numbers in ascending order
Elena-2011 [213]

Answer:

1*1+4+5+3+6+3+2(6+3+4(+3+5(8+2+8+483+4+8+82+7-74-4-3

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3 years ago
Kyle is renting a jet ski for the day. Below are his two options.
Ira Lisetskai [31]

Hi Lawrence!

---------------------------------------------------

We Know:

Powersports Plus: $30 an hour plus a non-refundable deposit of $50.

Sun & Surf: $20 an hour plus a non-refundable deposit of $80.

---------------------------------------------------

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x = per hour

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Solution: (Add the deposit then start adding hourly costs)

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Sun and Surf: 100, 120, 140

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Ray Of Light [21]
The full marks is 75.
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3 years ago
Read 2 more answers
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