The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to make servings of apple soda: A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 6, 12, 18, 24, 30. Points are shown on ordered pairs 0, 0 and 1, 6 and 2, 12 and 3, 18 and 4, 24. These points are connected by a line. The label on the x axis is Lemon -Lime Soda in cups. The title on the y axis is Apple Juice in cups. What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda? 1:24 24:1 1:6 6:1

Answers

Answer 1
Answer:

The ratio of the number of cups of apple juice to the number of cups of lemon-lime soda is 6:1

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Given that x axis denotes Lemon lime soda in cups and y axis denotes Apple juice in cups

(x) Lemon -Lime Soda  ;  0, 1,   2,   3,   4,   5

(y) Apple Juice  :  0, 6, 12, 18, 24, 30

Therefore, the ratio can be written as;

the number of cups of apple juice   :    the number of cups of lemon-lime soda

         6                                          :            1

Then,  ratio is 6:1

Hence, the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda is 6:1

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Answer 2
Answer: (x) Lemon -Lime Soda     0, 1,   2,   3,   4,   5
(y) Apple Juice                  0, 6, 12, 18, 24, 30

number of cups of apple juice   :    the number of cups of lemon-lime soda
          6                                          :            1
          ratio is 6:1

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What is the slope intercept equation of the line below. Y-intercept=(0,2) slope=3/4

Answers

Answer:

y = 3/4x +2

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b

where m is the slope and b is the y intercept

Y-intercept=(0,2) slope=3/4

y = 3/4x +2

7(x+4)=-21 help find x plz

Answers

Answer:

x = -7

Step-by-step explanation:

What number is bigger 3/4 or 0.75

Answers

Answer:

they are the same.

Step-by-step explanation:

Answer:

they are equal

Step-by-step explanation:

3/4 is the same thing as 0.75

A square is a figure with four sides of equal length and four right anglesa)conditional statement
b)postulate
c)definition
d)conjecture

Answers

The statement given in the statement is the definition of square.

What is a square?

A square is closed, two-dimensional shape with 4 equal sides and all the internal angles are right angles.

How to find which is the best statement?

  • In the question it is given that A square is a figure with four sides of equal length and four right angles.

So this is nothing but the definition of square .

So the correct answer is definition

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Answer:

c) definition

Step-by-step explanation:

A hat contains cards with different colors.Annabella randomly selects a card from
the hat and returns the card to the hat
after noting the color. After randomly
selecting a card 300 times, she has picked
a purple card 70 times. Based on her
results, what is the estimated probability
that Annabella selects a purple card?
A 7/37 B 7/30 C 7/23 D 23/30

Answers

Answer:

B 7/30

Step-by-step explanation:

P (Purple) = 70 / 300 = 7/ 30

Answer:

B

Step-by-step explanation:

Purple-70/300=7/30

Find parametric equations for the line. (Enter your answers as a comma-separated list of equations. Let x, y, and z be functions of t.) The line in the direction of the vector 5 i + 5 j − 6k and through the point (−4, 4, −2).

Answers

The parametric equations are:

x  =  -4  +  5t

y  =  4  +  5t

z  =  -2  - 6t

The given direction vector is:

\bar{V} = 5i + 5j - 6k

The direction vector can also be written as:

\bar{V} = <a, b, c> =  <5, 5, -6>

The point X₀ = (x₀, y₀, z₀) =  (-4, 4, -2)

The parametric equation is of the form:

X = X_(0) + \bar{V}t

This is:

\left[\begin{array}{ccc}x\ny\nz\end{array}\right] = \left[\begin{array}{ccc}x_0\ny_0\nz_0\end{array}\right] + \left[\begin{array}{ccc}a\nb\nc\end{array}\right]t

\left[\begin{array}{ccc}x\ny\nz\end{array}\right] = \left[\begin{array}{ccc}-4\n4\n-2\end{array}\right] + \left[\begin{array}{ccc}5\n5\n-6\end{array}\right]t

The parametric equations are therefore:

x  =  -4  +  5t

y  =  4  +  5t

z  =  -2  - 6t

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Answer:

x=5t-4 , y=5t+4 , z=-6t-2

Step-by-step explanation:

So we are going to use (-4,4,-2) as an initial point, p.  

The direction vector is v=5i+5j-6k or <5,5,-6>.

The vector equation is r=vt+p.

That means we have r=<5,5,-6>t       +      <-4,4,-2>.

So the parametric equations are

x=5t-4

y=5t+4

z=-6t-2