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
forsale [732]
1 year ago
8

Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​

Mathematics
1 answer:
Kitty [74]1 year ago
6 0
<h3>Answer:</h3>

1.9

Step-by-step explanation:

<h3>The above is direct and inverse variation.</h3>

A = kB/C -----------(1)

A=12

B = 3

C= 2

substitute A, B and C into equation (1).

12 = K × 3/2

12 = 3k/2

12×2 = 3k

3K = 24

dividing bothsides by 3

3K/3 = 24/3

K = 8

substitute K = 8 into equation (1)

A = 8B /C --------------(2)

Equation (2) is the equation connecting

A,B and C.

Finding B when A = 10 and C = 1.5

10 = 8B / 1.5

10× 1.5 = 8B

15 = 8B

Dividing bothsides by 8 :

B = 15/8

B = 1.875

B = 1. 9 ( approximately)

You might be interested in
A country road has a section of road with grade of 9%. A car climbs up the slope road 18 feet above the flat road . What horizon
Leni [432]

Answer:

36

Step-by-step explanation:

3 0
3 years ago
Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8​
Ivanshal [37]

It looks like the differential equation is

\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}

Factorize the right side by grouping.

xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)

xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)

Now we can separate variables as

\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx

Integrate both sides.

\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx

\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx

\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}

You could go on to solve for y explicitly as a function of x, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0
1 year ago
If $1000 is divided among the three people In the ratio 2:3:5,find the share of each​
d1i1m1o1n [39]

Answer:

$200, $300, $500

Step-by-step explanation:

Given data

Total Amount= $1000

Ratio=  2:3:5

The combined ratio is = 10

Let us apply the part to all method to find the individual amount

The first person will take

10/1000= 2/x

1/100=2/x

cross multiply

x= 200

The second person will take

10/1000= 3/x

1/100=3/x

cross multiply

x= 300

The third person will take

10/1000= 5/x

1/100=5/x

cross multiply

x= 500

8 0
3 years ago
Cory is a furniture designer who is asked to design several different tables. What information will he need to find the area of
inn [45]

Answer:

A B D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What number is less than -12
Natali5045456 [20]

Hey there! Your answer is:

F.) -14

Here's why:

The higher a number goes when it's negative the smaller the number is. The higher a number goes when it's not a negative number the bigger it is.

I hope this answer helped you out! Have a great day/night :)

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of x in the equation −x = 2 − 3x + 6?
    9·1 answer
  • Increase $200 by 50%. PLEASE HELP ME!
    14·1 answer
  • What is bigger, 3/4 or 2/3
    8·2 answers
  • A elevation starting at 11,049 feet. After 6 hours the elevation is 7,569 feet. What's the rate of change in feet per hour.
    11·1 answer
  • The difference of 2x and 15 is less than or equal to the sum of 4x and 17
    12·1 answer
  • On a gameboard spinner, Rachel won a prize on 8 out of 10 spins. Based on experimental
    6·1 answer
  • The equation 4 – 45 = is used to find your profit, , in dollars from buying $45 of supplies and washing cars for $4 each. What d
    14·1 answer
  • Given the domain (-2,2,4) what is the range for the relation 3x-y=3
    15·1 answer
  • I will make you brainliest pls help me
    13·1 answer
  • (2x - y + 3) (2x - y - 3)using identities ​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!