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
True [87]
2 years ago
7

Lin notices that the number of cups of red paint is always 15 of the total number of cups (0.2 of the total number of cups). She

writes the equation r = 15t (r = 0.2t) to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.
Mathematics
1 answer:
ivann1987 [24]2 years ago
7 0

Step-by-step explanation:

The number of cups of red paint is always 15 of the total number of cups. 0.2 of the total number of cups.

She writes the equation r = 15t (r = 0.2t) to describe the relationship.

In this case, the total no. of cups is an independent variable. No. of cups do not depend on any term.

The number of cups of red paint is a dependent variable as it depends on the number of cups.

You might be interested in
A wire 6 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the
zhenek [66]

Answer:

Used wire in circle  x = 2.64 m

Used in square   L - x = 3.36 m

Total wire used 6 m

Step-by-step explanation:

We have a wire of 6 meters long.

We will cut it a distance x from one end, to get two pieces

x    and   6 - x

We are going to use the piece x  to get the circle then

So Perimetr of a circle is 2π*r    (r is the radius of the circle) then:

x = 2*π*r    ⇒    r = x/2*π

And area would be  A(c) = π* (x/2*π)²   ⇒ A(c) = x²/4π

From 6 - x we will get a square, and as the perimeter is 4 times the side

we have

( 6 - x )/ 4  is the side of the square

And the area is  A(s) = [( 6 - x ) /4]²

Total area as function of x is

A(t)  = A(c) + A(s)

A(x)  =  x²/4π  + [ ( 6  -  x  ) / 4 ]²

A(x)  =   x²/4π  + (36 + x² - 12x) /16

A(x)  = 1 / 16π [ 4x² + 36π + πx² -  12π x ]

Taking drivatives on both sides of the equation we get:

A´(x) = 1/ 16π [8x +2πx - 12π]

A´(x) = 0    ⇒      1/ 16π [8x +2πx - 12π]  = 0

[8x +2πx - 12π]  = 0

8x + 6.28x -  37.68  = 0

14.28x - 37.68 =  0      ⇒  x  = 37.68 /14.28

x = 2.64 m   length of wire used in the circle

Then the length L  for the side of the square is  

(6 - x )/4    ⇒ ( 6 - 2.64 )/ 4   ⇒ 3.36 / 4    

L = 0.84 m   total length of wire used in the square is

3.36 m

And total length of wire used is 6 m

The function is a quadratic  function and "a" coefficient is positive then is open upward parabola there is not a maximun

5 0
3 years ago
Which of the following is in Integrity but not a whole number A -9.6 B -4 ​
abruzzese [7]

Answer:

B. -4.

Step-by-step explanation:

3 0
2 years ago
What’s the slope of the line through (-9,-6) and (3,-9)
zavuch27 [327]
It might be mmmm idk I’m too dome
8 0
2 years ago
4. Find the value of x.<br> A) 6 √ 2<br> B) 12 √ 3<br> C) 24 √ 3<br> D) 12
Schach [20]
A^2+b^2=c^2
24^2=12^2+x^2
sqrt(576-144)=x
sqrt(432)=x
12sqrt(3)=x
the answer is c
7 0
2 years ago
Read 2 more answers
While in europe if you drive 117 kim per day, how much money would you spend on gas in one week if gas costs?
LiRa [457]
What does gas cost answer then I will give you the answer
8 0
3 years ago
Other questions:
  • The family wants to determine if they can drive to the national park using Just one tank of gas in their car. Determine whether
    14·1 answer
  • I need help ASAP please!
    10·1 answer
  • Write the expression that appears under the radical symbol in the quadratic formula. what is the quality called? what can it be
    15·1 answer
  • How much money will you have if you started with $1200 and put it in an account that earned 7.3% every year for 10 years?
    9·1 answer
  • Write a function rule to define the sequence : 2, -3, -8, -13<br> Please help me ASAP!
    6·1 answer
  • Is 36z^2 - 9 a difference of squares?
    11·1 answer
  • Based on the pattern, what are the next two terms of the sequence? 9, 15, 21, 27, . . .
    13·1 answer
  • What is the domain of f(x) = 5^x - 7?
    10·1 answer
  • What is the sum?<br> 2 + (-4) =
    15·2 answers
  • Two math teachers come together and write math problems about fruit vendors. If Teacher A can write 50 problems in 60 minutes an
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!