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KIM [24]
3 years ago
15

Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B p

roduces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 3x boxes?
Mathematics
1 answer:
vladimir2022 [97]3 years ago
7 0

Answer:

6 minutes

Step-by-step explanation:

Machine A produces x boxes in 10 minutes

In one minute, the machine produces x/10 boxes

Machine B produces 2x boxes in 5 minutes

In one minute, the machine produces 2x/5 boxes

Therefore in one minutes, both boxes working together will produce

= 2x/5 + x/10

=5x/10

=x/2 boxes

To produce 3x boxes, the time required

= 3x/(x/2)

= 3 × 2

= 6

It take machines A and B, working simultaneously at their respective constant rates, to produce 3x boxes in 6 minutes

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PLZ HELP DUE AT 12
aleksandrvk [35]

Answer:

The first one would be m^30n^20p^30  

And the second one would be a^2 / d^4  

Step-by-step explanation:

For 1, you have to multiply the inner exponents by the outer one so you get (m^12n^8) times (m^18n^12p^30). Then you mutiply the two together, so you add the exponents, where you get m^30n^20p^30.

For 2, since you're dividing, you have to subtract the exponents so you get a^2d^-4, but since you shouldn't have the negative you turn it into a^2 / d^4

Hope this helps :)

4 0
3 years ago
How do you solve this?
nalin [4]
So u have to add all the sides up.
which will give you 6 + 6√3 + 6 +6√3
because their opposite and parallel lengths and widths are equal
that gives you 12 + 12√3
so ans is 12m + 12√3m
7 0
3 years ago
The difference of the present ages of two sister in 5 yrs
Gekata [30.6K]

Answer:

4 and 9

Step-by-step explanation:

let their ages be x and x - 5, then in 4 years their ages will be

x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus

(x + 4)(x - 1) = 104 ← expand factors on left using FOIL

x² + 3x - 4 = 104 ( subtract 104 from both sides )

x² + 3x - 108 = 0 ← in standard form

(x + 12)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x - 9 = 0 ⇒ x = 9

However, x > 0 ⇒ x = 9

Thus

Their present ages are 9 and 9 - 5 = 4

4 0
3 years ago
Use the pattern below for questions 6 - 8.
Yuliya22 [10]

Answer:

See below

Step-by-step explanation:

<u>The sequence given</u>

  • 6, 19, 58, 175

<u>We see the pattern: triple the previous term plus 1</u>

  • 2) 19 = 6*3 + 1
  • 3) 58 = 19*3 + 1
  • 4) 175 = 58*3 + 1

<u>Next two terms</u>

  • 5) 175*3 + 1 = 526
  • 6) 526*3 + 1 = 1579

<u>Following two terms</u>

  • 7) 1579*3 + 1 = 4738
  • 8) 4738*3 + 1 = 14215

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3 years ago
Larissa is on vacation and wants to rent a bicycle to explore the town. She pays a $10 flat fee and then $12 per hour for the re
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Answer:

y = 12x + 10

Step-by-step explanation:

Edge, let me know if you got it right.

3 0
3 years ago
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