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faltersainse [42]
3 years ago
12

The quantity a varies directly with b and c and inversely with dThe quantity d is tripledWhich of the following must be true for

the relationship to remain the same?
Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

We have the next relation:

A = (b*d)/c

because we have direct variation with b and d, but inversely variation with c.

Now, if we have 3d instead of d, we have:

A' = (b*(3d))/c

now, we want A' = A. If b,c, and d are the same in both equations, we have that:

3bd/c = b*d/c

this will only be true if b or/and d are equal to 0.

If d remains unchanged, and we can play with the other two variables we have:

3b'd/c' = bd/c

3b'/c' = b/c

from this we can took that: if c' = c, then b' = b/3, and if b = b', then c' = 3c.

Of course, there are other infinitely large possible combinations that are also a solution for this problem where neither b' = b or c' = c

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Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=
exis [7]

9514 1404 393

Answer:

  (3, 1)

Step-by-step explanation:

We assume you want the solution to the system ...

  • 2x−3y=3
  • x=y+2

The second equation gives a nice expression for x, so we can use that in the first equation.

  2(y+2) -3y = 3 . . . . substitute for x in the first equation

  2y +4 -3y = 3 . . . . . eliminate parentheses

  -y = -1 . . . . . . . . . . . collect terms, subtract 4

  y = 1 . . . . . . . . . . . . multiply by -1

  x = 1 +2 = 3 . . . . . . substitute for y in the second equation

The solution is (x, y) = (3, 1).

4 0
3 years ago
Jenny makes food for her hummingbird feeders. The food is made up of 1 part sugar and 4 parts water. She uses 3434 cup of sugar
Bond [772]
Okay so every part of sugar requires 4 parts of water 

so

3434 cups of sugar x 4 (parts of water per 1 part of sugar) = 13736 

She will need to use 13, 736 parts of water for 3, 434 parts of sugar 
5 0
3 years ago
Read 2 more answers
Since the Boston marathon began in 1897, the finish time has been incrementally decreasing. The mean finish time to date is 231
morpeh [17]

Answer:

hello your question lacks the required options but i will provide a general answer to your question

answer : The mean value  and the standard deviation would allow us use a Z-score

Step-by-step explanation:

mean value = 231 minutes

standard deviation ( std ) = 40 minutes

sample size = 40

The parameters that would be applicable while use Z-score are : The given mean value and the standard deviation

This is because the value of a z-score gives us an information on how far we are from the mean score i.e. number of standard deviations

+Zscore means that the score  is above the average value

-Zscore means that the score is below the average value

7 0
3 years ago
The value of N is both 5 times as much as the value of M and 36 more than the value of M. What are the values of N and M? Explai
vlabodo [156]
180 just multiply 36*5= 180

Thank you, i would be happy to have more questions
 
7 0
3 years ago
How many meters does 20 yards equal
Yuliya22 [10]

Answer:


Step-by-step explanation:One yard equals 0.9144 meter. Therefore 20 yards = 20 * 0.9144 = 18.288 meters


3 0
3 years ago
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