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
KATRIN_1 [288]
3 years ago
12

A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a

if the quantity b doubts?
Mathematics
1 answer:
Julli [10]3 years ago
3 0

Answer:

quantity a is halfed

Corrected question;

A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?

Step-by-step explanation:

Analysing the question;

A quantity a varies inversely as a quantity b,

a ∝ 1/b

a = k/b ......1

when b changes a changes in the inverse ratio;

Since the change at the same ratio but inversely, k = 1

So, equation 1 becomes;

a = 1/b

If the quantity b doubles,

ab = 1

a1b1 = a2b2

When b doubles, b2 = 2b1

a1b1 = a2(2b1)

Making a2 the subject of formula;

a2 = a1b1/(2b1)

a2 = a1/2

Therefore, when b doubles, a will be divided by 2, that means a is halfed.

You might be interested in
A Water flows through a pipe at a rate of 10 milliliters every 8.5 seconds. Express this
Alexandra [31]

Answer:

The answer to the nearest hundredth is 0.07 liters per minute

Step-by-step explanation:

In this question, we are told to express the given metric in liters per minute.

The key to answering this question, is to

have the given measurements in the metric in which we want to have the answer.

Hence, we do this by converting milliliters to liters and seconds to minute.

Let’s start with milliliters;

Mathematically;

1000 milliliters = 1 liters

10 milliliters = x liters

x * 1000 = 10 * 1

x = 10/1000

x = 1/100

x = 0.01 liters

For the seconds;

We need to convert the seconds to minutes;

Mathematically;

60 seconds = 1 minute

8.5 seconds = y minutes

60 * y = 8.5 * 1

y = 8.5/60

y = 0.14167 minutes

Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;

Hence, we have ;

0.01/0.14167 = 0.070588235294

Which to the nearest hundredth is 0.07

6 0
3 years ago
What is 879 times 8 as a sum and estimated
Flauer [41]
Its 7,032 the estimated product is 7,000

-hope that helped
6 0
4 years ago
Burger town sells cheeseburger for $7.95 each plus an additional $1.00 for each topping, Which of the following equations vest r
kolbaska11 [484]

Answer:

No equations given but the answer is c=1x+7.96

Step-by-step explanation:

4 0
3 years ago
Maggie buys 5 apples and 4 oranges for $10 and Lynn buys 5 apples and 5 oranges for $11. What is the price for an apple and what
nlexa [21]
Make 2 eqn, let a be apples and o be oranges:

1. 5a + 4o = 10
2. 5a + 5o = 11

set up an elimination:
1. minus 2.
5a + 4o = 10
- 5a + 5o = 11
____________
o = 1

sub “o” into one of the eqn

5a + 5(1) = 11
5a = 11-5
5a = 6
a = 6/5
a = 1.2

therefore, an orange costs $1.00 and an apple costs $1.20

6 0
4 years ago
Directions: Determine wether the pair of lines are parallel perpendicular or neither
Irina18 [472]

Answer:

13. Neither

14. Parallel

15. Perpendicular

16. Perpendicular

4 0
1 year ago
Other questions:
  • 25h to the power of 10 +18
    8·1 answer
  • Literal equations: Solve for Y: 3X-2Y=8
    12·2 answers
  • How many 1-fm squares does it take to construct a square that is 1 m on each side?
    14·1 answer
  • What are roots asymtotes and end behavior of (x-2)(x+3)
    6·2 answers
  • 24-12x<6x-30 what is x
    6·2 answers
  • Show work: Factor 2x^2 + 5x - 3
    5·2 answers
  • A manufacturing company produces two sizes of cylindrical containers that each have a height of 50 centimeters. The radius of Co
    5·1 answer
  • I Need Help With No. 5
    9·2 answers
  • What Is the slope of a line perpendicular to y=x-6
    12·1 answer
  • 20.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!