Let red marbles = X.
The probability is 1 out of 5, written as 1/5
1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.
1/5 = x/5x
Now you have 5x total marbles, x red and 4x blue.
Add 5 more red and the new probability is:
(x+5)/(5x+5) = 1/3
Simplify:
3x+15 = 5x+5
Now solve for x:
Subtract 3x from both sides:
15 = 2x +5
Subtract 5 from each side:
2x = 10
Divide both sides by 2:
x = 10/2
X = 5
There were originally 5 red marbles.
Answer:
(x, y ) → (- y, - x )
Step-by-step explanation:
Consider the coordinates of corresponding vertices of the 2 triangles, that is
A(1, 7 ) → D(- 7, - 1 )
Note the coordinates of D are the negative reversals of A
Thus (x, y ) → (- y, - x )
Since the values are the same on both sides the matrix value is a=1
(7,5)(-4,-1)
slope = (-1-5) / (-4-7) = -6/-11 = 6/11
y - y1 = m(x - x1)
slope(m) = 6/11
(-4,-1)...x1 = -4 and y1 = -1
now we sub...pay close attention to ur signs
y - (-1) = 6/11(x - (-4) ...not done yet...
y + 1 = 6/11(x + 4) <===
2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of
b. Equivalent ratios
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![\frac{10 \: dogs}{15 \: cats} = \frac{5 \times 2 \: dogs}{ 5 \times 3 \: cats} = \frac{2 \: dogs}{3 \: cats} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%20%5C%3A%20dogs%7D%7B15%20%5C%3A%20cats%7D%20%20%3D%20%20%5Cfrac%7B5%20%5Ctimes%202%20%5C%3A%20dogs%7D%7B%205%20%5Ctimes%203%20%5C%3A%20cats%7D%20%20%3D%20%20%5Cfrac%7B2%20%5C%3A%20dogs%7D%7B3%20%5C%3A%20cats%7D%20%20%5C%5C%20)
We can see that they are equivalent ratios.