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gladu [14]
4 years ago
14

Mandy drives to work every day. The distance she travels is given by the equation d = 4.5t, where d is the distance traveled and

t is the driving time. What is the constant of proportionality in terms of d to t?
Mathematics
2 answers:
NNADVOKAT [17]4 years ago
4 0

Answer:

The constant of proportionality in terms of d to t is 4.5.

Step-by-step explanation:

Since,

Distance = Speed\times Time

So, we can write,

Distance is directly proportional to time if speed is constant.

Here d represents distance and t represents time,

\implies d\propto t

\implies d=kt

Where k is the constant of proportionality,

We have given,

d = 4.5t

By comparing k = 4.5,

Hence, the constant of proportionality in terms of d to t is 4.5.

Anastasy [175]4 years ago
3 0
The constant is "4.5 miles per hour", or whatever the actual units are.
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Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how man
ryzh [129]

Answer

so there are 7 singing acts and 5 comedy acts.

Step-by-step explanation:

Let x= number of singing acts.

Let y= number of comedy acts.

We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

We solve x+y=12

Y=-x+12

We know y=-x+12, so we will substitute that for the y in the second equation.

1. Substitute 5x+3(-x+12)=50

2. Distribute 5x-3x+36=50

3. Solve 2x+36=50

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Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

5(7)+3y=50

35+3y=50

3y=15

Y=5

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The smallest number n could be is 64.

Step-by-step explanation:

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