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3 years ago

In a certain Algebra 2 class of 28 students, 23 of them play basketball and 12

Mathematics

1 answer:

erica [24]3 years ago

3 0

Answer:

5/14

Step-by-step explanation:

P(A or B) = P(A) + P(B) − P(A and B)

25/28 = 23/28 + 12/28 − P(A and B)

P(A and B) = 10/28

P(A and B) = 5/14

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3 years ago

The sum of two numbers is 75. The second number is less than twice the first. Find the numbers.

Lera25 [3.4K]

Answer:

First number =26

Second number =49

Step-by-step explanation:

Question:

The sum of two numbers is 75. The second number is 3 less than twice the first. Find the numbers.

Given:

Sum of two numbers = 75

The second number is 3 less than twice the first.

To find the numbers.

Solution:

Let the first number be = $x$

Let second number be = $y$

The sum equation can be given as:

$x+y=75$

It is given that the second number is 3 less than twice the first.

This can be given as:

$y=2x-3$

Substituting the value of $y$ in terms of $x$ in the sum equation.

$x+(2x-3)=75$

Combining like terms.

$3x-3=75$

Adding 3 both sides.

$3x-3+3=75+3$

$3x=78$

Dividing both ides by 3.

$\frac{3x}{3}=\frac{78}{3}$

$x=26$

Substitution $x=26$ in the second equation to find $y$ .

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