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Fed [463]
2 years ago
12

A bad contains 15 balls of which X is red. Write an expression for the probability that a ball drawn from the bad is red. When 5

more red balls are added to the bag, the probability becomes 3/4. Find the value of X.

Mathematics
1 answer:
antoniya [11.8K]2 years ago
5 0

Answer:

10

Step-by-step explanation:

The current probability of picking a red ball is \frac{x}{15}. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:

\frac{x+5}{15+5} = \frac{3}{4}

When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).

60 = 4x + 20

40 = 4x

x = 10 red balls

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Answer:

x > 10

Step-by-step explanation:

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2 years ago
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What is -5/8 times 2/3 equal in fraction form
anastassius [24]

Answer: -5/12

Step-by-step explanation: Before multiplying two fractions together by multiplying across their numerators and multiplying across their denominators, you should always try to cross-cancel as your first step.

So in this problem, the 2 and 8 cross-cancel to 1 and 4.

Also, watch out for your signs. In this problem we have a negative times a positive so we know that our answer will be negative.

Now we can multiply across the numerators and across the denominators.

So we have 5 · 1 which is 5 and 4 · 3 which is 12.

So our answer is -5/12.

Be very careful with your signs!

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3 years ago
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Simplify this expression.
olchik [2.2K]

Answer:

(y^2+3y-28)/(4y^2-15y-4)

Step-by-step explanation:

(4y-1)(y-3)(2y+3)(y+3)(y+7)(y-3)/(2y+3)(y-4)(4y+1)(4y-1)(y-3)(y+3)

= (y+7)(y-3)/(y-4)(4y+1)

= (y^2+3y-28)/(4y^2-15y-4)

7 0
2 years ago
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What is the equation if x=1 and y=16/3
GaryK [48]
There may be more than one way in which to answer this question.  I will assume that the "equation" is a linear one:  f(x) = mx + b.

Then (16/3) = m(1) + b
This is one equation in two unknowns, so it does not have a unique solution.  Was there more to this problem than you have shared?


If we assume that the y-intercept (b) is zero, then y = mx, and 

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4 0
3 years ago
The following table shows the distance from school as a function time
kykrilka [37]

Answer:

27,0 the distance away from the school​

Step-by-step explanation:

Apply the formula for equation of a straight line;

y=mx+c where c is the y intercept , and m is the gradient

From the graph, the slope is negative where speed decreases with increase in time

Find the gradient by applying the formula;

m=\frac{y_2-y_1}{x_2-x_1}

Taking y₁=24, y₂=20, x₁=9, x₂=12

Then;

m=\frac{20-24}{12-9} =\frac{-4}{3}

write the equation of the function as ;

y=mx+c, c=36( the y-intercept when x=0) hence the equation is;

y=mx+c\\\\y=\frac{-4}{3}x+36

To get x-intercept, substitute value of y with 0

y=mx+c\\\\\\y=-\frac{4}{3} +36\\\\\\0=-\frac{4}{3} x+36\\\\\frac{4}{3}x =36\\\\\\4x=36*3\\\\\\x=108/4=27

This means that the x-intercept is 27 ,and this means you will require 27 minutes to cover the whole distance to the school.

4 0
3 years ago
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