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
Lemur [1.5K]
2 years ago
14

Y varies directly as x and y=21 when x=6. determine the value of y when x=14

Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

Answer:

y = 49

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 21 when x = 6 , then

21 = 6k ( divide both sides by 6 )

3.5 = k

y = 3.5x ← equation of variation

When x = 14 , then

y = 3.5 × 14 = 49

You might be interested in
Which ratios of side lengths are equal to tan (a) ?
Eddi Din [679]

Answer:

tan(\alpha)=\frac{opposite}{adjacent}

Step-by-step explanation:

tan(\alpha)=\frac{opposite}{adjacent}

4 0
2 years ago
Read 2 more answers
PLEASE PLEASE HELP ME QUICK!!!!
Greeley [361]
U have a solid line...means there is an equal sign in the problem...so that eliminates 2 of them right away...so A and D are incorrect

it is shaded below the line....this means it is less then...that eliminates option C leaving u with only one answer choice

so ur answer is : B. y is less then or equal to x
3 0
3 years ago
Read 2 more answers
Select the correct answer.
stich3 [128]

The volume of the container is 5969 cm³. The correct option is D. 5,969 cm³

<h3>Calculating Volume </h3>

From the question, we are to determine the volume of the container

Volume of the container = Volume of the cone - Volume of the small cone

The volume of a cone is given by the formula,

V = 1/3πr²h

Where V is the volume

r is the radius

and h is the height

From the given information,

For the small cone,

Diameter = 10 cm

∴ Radius, r = 10cm/ 2 = 5 cm

h = 6 cm

For the big cone

diameter = diameter of the container = 30 cm

∴ Radius = 30cm/ 2

Radius = 15cm

h = height of small cone + height of container

h = 6 cm + 20 cm

h = 26 cm

Putting the parameters into

Volume of the container = Volume of the cone - Volume of the small cone

We get,

Volume of the container = 1/3π × 15² ×26 - 1/3π × 5² × 6

Volume of the container = 1/3π (15² ×26 -  5² × 6)

Volume of the container = 1/3π (5850 -  150)

Volume of the container = 1/3π (5700)

Volume of the container = 1/3 × π × 5700

Volume of the container = 5969.026 cm³

Volume of the container ≈ 5969 cm³

Hence, the volume of the container is 5969 cm³. The correct option is D. 5,969 cm³

Learn more on Calculating volume here: brainly.com/question/12004994

#SPJ1

8 0
2 years ago
The oak tree at school was 34 feet tall then it grew 18 feet taller how tall is the oak tree now
Julli [10]
34 + 18
the tree grew 18 ft taller meaning (+18)
add the two numbers to get

52 feet.
5 0
3 years ago
Read 2 more answers
The harbormaster decides how many trips the ferry needs to
Mashcka [7]

Answer:

The ferry needs to make 5 trips.

Step-by-step explanation:

All we need to do is divide the numbe of trips by how many cars at a time.

37 ÷ 8 = 4.62500

4.62500 ≈ 5

4 0
3 years ago
Other questions:
  • Help yoooooooo!!! I’m failimg
    7·1 answer
  • A technician charges $25 per hour plus $50 for a house call to repair home computers, make a table and a graph to show the cost
    7·1 answer
  • The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y + 7 = -2/5(x – 10). What is the
    14·1 answer
  • PLEASE HELP ASAP 25 PTS + BRAINLIEST FOR RIGHT/BEST ANSWER
    5·1 answer
  • The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth
    15·1 answer
  • What is 15 and 16 in a decimal
    6·1 answer
  • Which relation is a function?( click all that apply)
    10·1 answer
  • To the nearest 0.1 ounce, a package of oatmeal weighs 13.0 ounces. What is the LEAST amount the package can actually weigh?
    13·1 answer
  • The surface areas of the two solids shown above are equal.<br> O A. True<br> O B. False
    9·2 answers
  • Find area of blue shaded region
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!