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frez [133]
3 years ago
8

A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant b

etween the number of cans made and the number of sheets of metal used is
Mathematics
2 answers:
Fudgin [204]3 years ago
6 0

Answer:

its the world of 18 guys

Step-by-step explanation:

Mkey [24]3 years ago
5 0
From the statement above, we can say that there is a direct relationship between the number of sheets used to the number of cans that can be made. That is, # of sheets is directly proportional to # of cans. We make an equation as follows:

let y = # of sheets
     x = # of cans

y = kx      where k is the proportionality constant

Assuming linear relationship of the two, we can use either data point as follows:

y = kx
2 = k(36)
k = 1/18

Therefore, the proportionality constant is 1/18.
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Is 8:10 equivalent to 9:12
vesna_86 [32]

Answer:

No they are not equal

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Q2) The following travel times were measured for vehicles traversing a 2,000 ft. segment of an arterial: Vehicle Travel Time (s)
adelina 88 [10]

Answer:

TMS = 45.78 m/s

SMS = 45.66 m/s

Step-by-step explanation:

Vehicle Travel Time (s)

1 40.5

2 44.2

3 41.7

4 47.3

5 46.5

6 41.9

7 43.0

8 47.0

9 42.6

10 43.3

Time mean speed and space mean speed are parameters used to express the speed of a group of vehicles in traffic flow.

Time mean speed is given as the average speed of all the cars

The speed for each vehicle is calculated by dividing the (2000 ft) distance by the time taken by each vehicle to complete that segment of the journey.

Let vehicle = V

Travel time = time

Speed = s

V | Time | speed (ft/s)

1 | 40.5 | 49.383

2 | 44.2 | 45.249

3 | 41.7 | 47.962

4 | 47.3 | 42.283

5 | 46.5 | 43.011

6 | 41.9 | 47.733

7 | 43.0 | 46.512

8 | 47.0 | 42.553

9 | 42.6 | 46.948

10| 43.3 | 46.189

TMS = (Σsᵢ)/N

Σsᵢ = (49.383+45.249+47.962+42.283+43.011+47.733+46.512+42.553+46.948+46.189)

Σsᵢ = 457.823

N = number of vehicles = 10

TMS = 457.823 ÷ 10 = 45.7823 = 45.782 m/s

b) Space mean speed is given as

SMS = N ÷ [Σ (1/sᵢ)]

V | Time | speed | (1/sᵢ)

1 | 40.5 | 49.383 | 0.02025

2 | 44.2 | 45.249 | 0.02210

3 | 41.7 | 47.962 | 0.02085

4 | 47.3 | 42.283 | 0.02365

5 | 46.5 | 43.011 | 0.02325

6 | 41.9 | 47.733 | 0.02095

7 | 43.0 | 46.512 | 0.02150

8 | 47.0 | 42.553 | 0.02350

9 | 42.6 | 46.948 | 0.02130

10| 43.3 | 46.189 | 0.02165

Σ (1/sᵢ) = (0.02025+0.02210+0.02085+0.02365+0.02325+0.02095+0.02150+0.02350+0.02130+0.02165)

Σ (1/sᵢ) = 0.219

SMS = 10 ÷ [Σ (1/sᵢ)] = 10 ÷ 0.219

SMS = 45.662 m/s

Hope this Helps!!!

4 0
3 years ago
7 times a number is 8 less than the square of that number. Find the negative solution.
charle [14.2K]

Answer:

  -1

Step-by-step explanation:

The required relation is ...

  7n = n^2 -8

  0 = n^2 -7n -8 . . . . put in standard form

  0 = (n -8)(n +1) . . . . factor

Solutions are n=8 and n=-1.

The negative solution is -1.

7 0
3 years ago
-26 times a number minus 22 is equal to 90 less than the number.
IgorLugansk [536]

Answer:

x = \frac{68}{27}

Step-by-step explanation:

Let x be the number

  1. Write it out: -26x - 22 = x - 90
  2. Combine like terms: -27x + 68 = 0
  3. Subtract 68 from each side, so it now looks like this: -27x = -68
  4. Divide each side by -27 to cancel out the -27 next to x. It should now look like this: x = \frac{68}{27}  

I hope this helps!

6 0
3 years ago
Help
Rus_ich [418]

Answer:

60 slices

Step-by-step explanation:

1 pizza = 10 slices

6 pizzas = 10 slices * 6 = 60 slices

7 0
1 year ago
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