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
Vesnalui [34]
3 years ago
9

the value of y varies directly with x. If x equals 3 then y equals 21 what is the value of x when y equals 105.​

Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

x = 15

Step-by-step explanation:

The equation for direct variation is

y = kx

y=21 when x=3

21 = k*3

Divide each side by 3

21/3 = 3k/3

7 =k

y = 7x

Let y=105

105 = 7*x

Divide by 7

105/7 = x

15 =x

You might be interested in
Karen buys a bottle of water for $1.79. She gives the cashier a $5 bill. How much should she get back
Volgvan

Answer:

3.21

Step-by-step explanation:

.........................

7 0
3 years ago
Read 2 more answers
What is the length of radius to the nearest tenth of an inch?
mixas84 [53]

Answer:

radius = arc length / central angle in radians

radius = 4 inches / 5*PI / 12

radius = 4 / 1.308996939 radians

radius = 3.0557749074

radius = 3.0557749074 inches



Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
I need help with this one
eduard

Answer:

36%

Step-by-step explanation:

4 0
3 years ago
Find a formula for the inverse of the function. f(x) = e^6x − 9
STatiana [176]

Answer:

f^{-1}(x)=\frac{1}{6}\ln(x+9)

Step-by-step explanation:

So we have the function:

f(x)=e^{6x}-9

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

x=e^{6f^{-1}(x)}-9

Add 9 to both sides:

x+9=e^{6f^{-1}(x)}

Take the natural log of both sides:

\ln(x+9)=\ln(e^{6f^{-1}(x)})

The right side cancels:

\ln(x+9)=6f^{-1}(x)

Divide both sides by 6:

f^{-1}(x)=\frac{1}{6}\ln(x+9)

And we're done!

7 0
3 years ago
Write the integers in order from greatest to least. 11, 9, -9, -6
Sergio [31]

Answer:

11, 9, -6, -9

Step-by-step explanation:

Hope that helps

Sorry :( if it is wrong

If we use a number line

Eg below

12 11 10 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12

Visual of what it would look like from greatest to least

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the amplitude and period of the graph y=4 sin πθ
    5·1 answer
  • The area of a square is A = s², where s is the length of one side of the square. What is the side length s for each square? Drag
    6·2 answers
  • Two electricians are assigned to work on a remote control wiring job. One electrician works 8 1/2 hours each day, and the other
    14·1 answer
  • Expressed answers As reduced fraction. Find the trig value.<br> Tan A=
    9·1 answer
  • Solve for the missing angle (this is my last question and i just don’t wanna get it wrong)
    9·2 answers
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    13·1 answer
  • How many different amounts of nuggets can you find that can be ordered by combining 6, 9, and 20?
    8·1 answer
  • The floor of a drawing room consists of 2000 tiles. Each of the tiles is rectangular in
    7·2 answers
  • A cylindrical mug has a radius 5 cm and a height of 13 cm. If you drop two perfectly spherical scoops of vanilla ice cream, each
    8·1 answer
  • A teacher needs to find out how many seventh-grade students will be going on a field trip. Which best describes the population t
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!