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
PtichkaEL [24]
2 years ago
11

If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?

Mathematics
1 answer:
denpristay [2]2 years ago
3 0

Answer:

x=14

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if (x-4) and (y+3) vary inversely, their product will be the same for all values of x-4 and y+3.

Let x=8 and y=2 as given in the problem. Substitute values:

(8-4)(2+3)=(4)(5)=20

Hence, the maintained product is 20.

Thus, we have the following equation:

(x-4)(y+3)=20

Substitute y=-1 to find the value of x when y=-1:

(x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}

You might be interested in
2.5 Discuss FIVE important steps relating to career decision making​
Ugo [173]

Answer:

well according to me steps relating to decision making one of them can be what you like doing like a hobby another one can be how it's going to benefit you and the people around you that's all I know sorry if

6 0
3 years ago
What is the volume of the following cylinder in cubic feet?
Salsk061 [2.6K]
5089.38 is the volume
5 0
3 years ago
Write an equation to show "three times a number is 11".
Charra [1.4K]

Answer:

3x=11

Step-by-step explanation:

a number: x

three times x: 3x

is equal to 11: 3x=11

6 0
2 years ago
Read 2 more answers
If Matthew decided to put his $10,000 underneath the mattress, what is his future value of that money worth after forty years la
sveticcg [70]

Answer:

Step-by-step explanation:

$2,909

8 0
3 years ago
Write the following expression using an exponent:<br><br> 5⋅5⋅5⋅5
Vesna [10]

Answer:

5^4

Step-by-step explanation:

i hope this helps :)

8 0
2 years ago
Read 2 more answers
Other questions:
  • A-
    9·1 answer
  • How do you determine whether a sum will be positive, negative, or 0 when adding a positive and a negative integer?
    11·1 answer
  • Can someone help me with 1-4
    12·1 answer
  • The distance traveled varies directly with the time spent in motion when speed is held constant.
    7·1 answer
  • Which list shows the following numbers in order from least to greatest?
    7·1 answer
  • I need help on this please?
    8·2 answers
  • Roger has two dogs which are named Sparky and Cookie. The relationship of Sparky’s age, s, and Cookie’s age, c, can be represent
    14·1 answer
  • Round your answer to the nearest hundredth.<br> ?<br> с<br> А<br> 3<br> 70°<br> B
    14·1 answer
  • There are four highlights in the paragraph that show equations or phrases
    7·1 answer
  • Ray has $30 saved and saves $2 a week and Joe has $90 saved and spends $4 a week when will they have the same amount of money sa
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!