The fraction of the remaining marbles in the bag will be blue is 6/17.
<h3>What fraction of the remaining marbles in the bag will be blue?</h3>
The first step is to determine the initial number of marbles in the bag:
Initial number of red marbles in the bag : (5/8) x 240 = 150
Initial number of blue marbles in the bag : (2/8) x 240 = 60
Initial number of green marbles in the bag : 240 - 150 - 60 = 30
Number of red marbles remaining after 1/3 is removed = (1 - 1/3) x 150
2/3 x 150 = 100
Number of green marbles remaining after 2/3 is removed = (1 - 2/3) x 30
1/3 x 30 = 10
Total number of marbles now in the bag : 100 + 10 + 60 = 170
Fraction of blue marbles = 60 / 170 = 6/17
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I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)
y² + 9² = z²
x² + z² = (4+9)²
4² + y² = x²
we want to find z so combine the equations by substituting the other variables x,y out.
substitute y² for (x² - 4²) in 1st equation.
(x² - 4²) + 9² = z²
now by rearranging the 2nd equation we can substitute x² for (13² - z²)
(13² - z²) - 4² + 9² = z²
169 - z² - 16 + 81 = z²
234 - z² = z²
234 = 2z²
234/2 = z²
117 = z²
√(117) = z
√(9*13) = z
3√(13) = z
13 goes in the box
The value of x will be 3
From given diagram, triangle ABC and EDC meet at a common vertex C.
So, triangle ABC and EDC both are congruent to each other.
Applying the similarity property of congruence, ratio of the congruent triangles' corresponding sides will be equal.
Therefore,
Simplifying the expression,
We get
(18-x)/x = 25/5
(18-x)/x = 5
18-x = 5x
18-x-5x = 0
18 - 6x = 0
- 6x = -18
x = 3
Hence, the value of x is 3.
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Answer:
yellow: 5 10 15 20 25
blue: 3 6 9 12 15
green: 8 16 24 32 40
Step-by-step explanation
kinda a guess but i think its safe
Number 4 is 1 and 1/10. Number 5 is 3 and 1/2. Number 6 is 1 and 7/10. Number 7 is 1 and 8/22. Number 8 is 2 and 1/2.
