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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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Janey bought a used bicycle for $640. the bike was 3 years old when she bought it, and cost $850 new. assuming it decreases in v
Radda [10]
The first thing we must do in this case is to define the variables.
 We have then:
 v: the value of the bicycle
 t: years
 The standard equation of the line is:
 v-vo = m (t-to)
 The slope is:
 m = (v2-v1) / (t2-t1)
 Substituting values:
 m = (640-850) / (3-0)
 m = -70
 We choose an ordered pair:
 (to, vo) = (0, 850)
 Substituting values:
 v-850 = -70 (t-0)
 Rewriting:
 v = -70t + 850
 Answer:
 
assuming it decreases in value by the same amount each year, a linear equation for the value of the bicycle, v, when it is t years old is:
 
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6 0
4 years ago
Can some please help me with this math question.
Veseljchak [2.6K]

Answer:

C- Inverse

Step-by-step explanation:

Logarithmic example:

log₆ of 6, the answer is 1.

Exponential example:

6^{1} = 6

These are inverses

hope this helps :)

6 0
3 years ago
Find the coordinates of n after a 90 degrees clockwise rotation around the origin
Ket [755]

Answer:

270 degrees

Step-by-step explanation:

If you want a positive number, you can say that the origin is 360 degrees. Then, being it's moving clockwise, subtract 90 degrees from 360 degrees. That will give you 270 degrees.

If you want a negative answer, you could simply say that the origin is 0 and subtract 90 from that giving you -90.

Odds are you  should go with 270.

5 0
3 years ago
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