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Ymorist [56]
3 years ago
8

Your job is to sort and sack marbles for sale. A bag contains 44 marbles, some red and some green. If there are 11 red marbles,

what is the ratio of green to red marbles?
1:3
1:4
3:1
4:1
Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

Option C is correct

The ratio of green to red marbles is, 3 : 1

Step-by-step explanation:

As per the statement:

A bag contains 44 marbles, some red and some green.

⇒Total marbles = 44

If there are 11 red marbles.

then;

Green marbles = Total marbles - red marbles.

Substitute the given values we have;

Green marbles = 44 - 11 = 33

We have to find  the ratio of green to red marbles.

\frac{\text{Green marbles}}{\text{Red marbles}} = \frac{33}{11} = \frac{3}{1} = 3 : 1

Therefore,  the ratio of green to red marbles is, 3 : 1

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Answer:

Sin = -5/13

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Step-by-step explanation:

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Oduvanchick [21]

Answer:

Option b is the correct answer

Step-by-step explanation:

The graph in the picture is the graph of a quadratic equation and it takes the shape of a parabola.

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Looking at the parabola formed from the plotted points, it cuts the x axis at

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6 0
3 years ago
4. Find the standard from of the equation of a hyperbola whose foci are (-1,2), (5,2) and its vertices are end points of the dia
Ad libitum [116K]

The <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

<h3>How to find the standard equation of a hyperbola</h3>

In this problem we must determine the equation of the hyperbola in its <em>standard</em> form from the coordinates of the foci and a <em>general</em> equation of a circle. Based on the location of the foci, we see that the axis of symmetry of the hyperbola is parallel to the x-axis. Besides, the center of the hyperbola is the midpoint of the line segment with the foci as endpoints:

(h, k) = 0.5 · (- 1, 2) + 0.5 · (5, 2)

(h, k) = (2, 2)

To determine whether it is possible that the vertices are endpoints of the diameter of the circle, we proceed to modify the <em>general</em> equation of the circle into its <em>standard</em> form.

If the vertices of the hyperbola are endpoints of the diameter of the circle, then the center of the circle must be the midpoint of the line segment. By algebra we find that:

x² + y² - 4 · x - 4 · y + 4= 0​

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The center of the circle is the midpoint of the line segment. Now we proceed to determine the vertices of the hyperbola:

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b = √(c² - a²)

b = √(3² - 2²)

b = √5

Therefore, the <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

To learn more on hyperbolae: brainly.com/question/27799190

#SPJ1

5 0
2 years ago
Noah says 4/9 is equivalent to 20/45. Check his work by completing the table of equivalent ratios.
g100num [7]
Noah is correct!!!! 20/45 simplified is 4/9. hope this helps!
7 0
3 years ago
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