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Maksim231197 [3]
3 years ago
13

A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red

marble is 1 in 5. Yasmine returns the marble to the bag and adds five more red marbles to the bag. The probability that she takes one red marble at random is now 1 in 3. How many red marbles were originally in the bag?
answer it and get 98 points if you get it right
Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

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.

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Find g (-6) if g (x)=5 x - 7
musickatia [10]

Answer:

Your answer is -37.

Step-by-step explanation:

g(-6)=5(-6)-7

g(-6)=-30-7

g(-6)=-37

7 0
2 years ago
A cell phone company charges $45 per month for unlimited calls and $0.25 per text messages. Another call phone company $0.15 per
Lina20 [59]

Answer:

You first start by making your equation: 45 +.25x = 70 +.15x. then subtract .15x from both sides. it should look like 45 +.10x = 70. subtract 45 from both sides then you get .10x = 25. divide 10 to both sides and you get 250. so the two companies will be the same at 250 texts.

Step-by-step explanation:

7 0
3 years ago
A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equ
Ierofanga [76]

Answer:

t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.

Step-by-step explanation:

To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.

h(t) = -16t² + 96t

= -16(t² - 6t)

= -16(t² - 6t + 9) - (-16) * 9

= -16(t - 3)² + 144

Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".

6 0
3 years ago
What is -3 1/3+5/6 please help me
VLD [36.1K]

Answer:

-15/6

Step-by-step explanation:

-3 1/3+5/6

5/6 - 3 1/3

=> 5/6 - 10/3

=> 5/6 - 20/6

=> -15/6

8 0
2 years ago
Read 2 more answers
Garrett is 3 years older than Rachael. In 2 years the sum of their ages will be 39. How old is Garrett now?
ziro4ka [17]
Let garret’s age be x

x + 2 + (x + 3) + 2 = 39
2x + 7 = 39
2x = 32
x = 32/2
x = 16

Garrett’s age after two years = 16 + 2 = 18
3 0
3 years ago
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