1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanks
klio [65]

Answer:

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor of making the Tuesday before Thanksgiving a holiday, or they are against. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

So, the binomial probability distribution has two parameters, n and p.

In this problem, we have that n = 1000 and p = \frac{700}{1000} = 0.7. So the parameter is

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

8 0
3 years ago
Which phrase matches the expression p+7
dangina [55]

Answer:

the sum of p and 7

5 0
3 years ago
Read 2 more answers
If (6^2]^p = 6^10, what is the value of p? <br> A.) 2 <br> B.) 3<br> C.) 4<br> D.) 5
kvv77 [185]
If u raise a power to another power, then u multiply the powers. In this case, u can simplify to 6^2p =6^10

Now you have like bases, so you can set the powers equal to each other. So now, 2p=10. Now p=5
5 0
2 years ago
Tickets to a play cost $5 at the door and $4 in advance. The theater club wants to raise at least $400 from the play. Write and
cestrela7 [59]
Your equation should be
$4(40 tickets) + $5(X) = $400
160 +5x = 400
-160            -160
   0     5x =  340
  divide both sides by 5
5x/5 = 340/5
x = 68

so they need to sell 68 tickets at the door.

4(40) + 5(68) = 400
160 + 340  + 400
400 + 400


7 0
2 years ago
Read 2 more answers
Plz help me<br><br> 56+(96x3)-34=?
Veseljchak [2.6K]
The answer to it is 310
7 0
3 years ago
Read 2 more answers
Other questions:
  • Multiply the polynomials (x+2)(2x^2+9x+8)
    8·2 answers
  • True or false y4 equals 16 if y is 2.
    15·2 answers
  • [(3-^5)(3^4)]^3 I have no clue what to do here please help
    13·1 answer
  • Write 10 5/12 as an equivalent improper fraction
    12·2 answers
  • Find the measure of angle b
    15·1 answer
  • What is the cube root of 3 and 343
    14·1 answer
  • A number is divided in the ratio 7:2. If the second part is 34, find the number.
    10·1 answer
  • 3x+5=12-7x solve? Help ​
    14·1 answer
  • PLEASE HELP!! Solve for x. -6x + 14 &lt; - 28 AND 3x +28 &lt; 25
    7·1 answer
  • Here this is a giveaway free 100 i started back
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!