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
Tanya [424]
3 years ago
10

If "a" varies directly as "b" and inversely as "c". If a=16 when b=12 and c=6, find "a" when b=28 and c=4. *

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0

Answer:

When b = 28 and c = 4, then a = 56

Step-by-step explanation:

We need to write the equation first

This is an example of a combined variation

if a varies directly as b and inversely as c;

then a = bk/c

where k is the constant of proportionality

We find k first;

16 = (12 * k)/6

k = (6 * 16)/12 = 8

We now want to find a

a = kb/c

a = (8 * 28)/4 = 7 * 8 = 56

You might be interested in
I need help for number 3
Sladkaya [172]

Answer: 3/2

Step-by-step explanation:  24 ÷ 2² + 8 (3/2) = 3/2

4 0
3 years ago
Read 2 more answers
Srekar needs to increase the size of the prism below by 2 inches on each side. The original prism has a length of 3, a depth of
Leto [7]

Answer:

a b

Step-by-step explanation:

The options as obtained from the internet.

- the new prism will have a length of 5

- the new prism will have a depth of 4

- the new prism will have a height of 2

- the volume will increase by 6 and each of the 3 dimensions is increased by 2.

- srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side

The volume of a rectangular prism is (length × depth × height)

Originally, length = 3 inches

Depth = 2 inches

Height = 1 inch

Original volume = 3×2×1 = 6 in³

Then, Sreka adds 2 inches to each of the dimensions,

New length = 3+2 = 5 inches

New depth = 2+2 = 4 inches

New height = 1+2 = 3 inches

New volume = (5×4×3) = 60 in³

Taking each of the statements one at a time

Statement 1

the new prism will have a length of 5

True!

Statement 2

the new prism will have a depth of 4

True!

Statement 3

the new prism will have a height of 2

False! New height = 3 inches

Statement 4

the volume will increase by 6 and each of the 3 dimensions is increased by 2.

This is false. The volume increased to 10 folds of its original volume.

Statement 5

srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side

Adding 6 inches to the height,

New height = 1+6 = 7 inches

New volume = 3×2×7 = 42 in³

This statement is false as the new volume from adding 2 inches to each side is 60 in³

Hope this Helps!!!

5 0
3 years ago
URGENT IT'S LITERALLY A REALLY IMPORTANT QUESTION!!!
deff fn [24]

Diameter- The line that goes through the circle is the diameter to find the diameter take the radius and multiply it by two

Circumference- Take the radius divide by two and multiply by pi which is 3.14

5 0
3 years ago
1/2+1/4= <br><br> 3/4+1/4=<br><br> What is the difference
son4ous [18]
1/2 + 1/4 = 3/4
3/4 + 1/4 = 1
4 0
3 years ago
Read 2 more answers
Ms. Mary picks up Ed from art class every 3rd day and Mary from music class every 5th day. What is the first day MS. Mary will n
Ira Lisetskai [31]
The 15th day because 3x5=15  5x3=15
7 0
3 years ago
Read 2 more answers
Other questions:
  • Piece of rope that is 15 ft long what is the area
    11·1 answer
  • Write an algebraic expression for each verbal expression ​
    5·1 answer
  • 1.)Raquel’s favorite basketball player scored 25, 17, 38, 11, and 24 points during her games.
    13·1 answer
  • Daniel takes his dog on a walk 3 times a day.How many walks does he go on in one week ?
    14·2 answers
  • HeLp ImMagE aTtAcHEd
    10·1 answer
  • The total sales tax in a certain city is 8.75%. The state sales tax rate is 7.25%, and the county adds an additional sales tax o
    13·1 answer
  • What type of number is -1/5 ?
    5·1 answer
  • If m∠ QOS=58, m∠ POR=61, and m∠ POQ=22 what is m∠ ROS
    5·1 answer
  • Find the area of the shaded region in the circle at right.
    7·1 answer
  • A blueprint of a plot of land has a scale of 1 1/4 cm to 3 1/4 m the length of the land is 20 cm on the blueprint if i represent
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!