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polet [3.4K]
3 years ago
11

PLEASE HELP TIMEDD

Mathematics
1 answer:
loris [4]3 years ago
7 0
Correct answer: A) A = the card is red, B = the card is black

Because mutually exclusive means "cannot occur simultaneously."
The other choices all can occur together.
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In Psychology 101, the ratio of the number of girls to the number of boys is 3:1. After one girl drops the class and three more
aleksley [76]

Alright, lets get started.

Suppose the initial number of girls = x

Suppose the initial number of boys = y

The ratio of the number of girls to the number of boys is 3:1 (given in question)

x/y = 3/1

Cross multiply

x = 3 y ...............................equation (1)

one girl drops the class and three more boys sign up means new number of gilrs = x - 1

New number of boys = y + 3

the ratio of the number of girls to the number of boys becomes 5:2

(x-1) / (y+3) = 5/2

Cross multiplying

2 (x-1) = 5 (y+3)

2 x - 2 = 5 y + 15

Adding 2 in both sides

2 x - 2 + 2 = 5 y + 15 + 2

2 x = 5 y + 17 ..........................equation (2)

Putting value of x from equation 1 in equation 2

2 (3 y) = 5 y + 17

6 y = 5 y + 17

Subtracting 5 y in both sides

6 y - 5 y = 5 y + 17 - 5 y

y = 17

Putting the value of y in equation 1

x = 3 * 17 = 51

x = 51

After the changes, 1 girl drops : 51 - 1 = 50 new numbers of girls

After the changes, 3 more boys sign up : 17 + 3 = 20 new number of boys

So, total students in the class after changes : 50 + 20 = 70 students : Answer

Hope it will help :)

6 0
3 years ago
Solve the equation k+10=27 k=
Reil [10]

Steps to solve:

k + 10 = 27

~Subtract 10 to both sides

k = 17

Best of Luck!

8 0
3 years ago
Write one hundred eleven in expanded form
nydimaria [60]
Answer: 100+10+1

You basically place zeroes instead of the actual digit to find the value of each number.

Example:

855

800+50+5
6 0
3 years ago
Solve this inequality: -3 - 6(4x + 6) > -111
Semenov [28]

Step-by-step explanation:

-3-24x-36>-111

-39-24x>-111

-24x>-111+39

-24x>-72 /x(-1)

24x<72

x<2.66

5 0
3 years ago
Need help again. Please explain your answer.
Elis [28]

4y + 3 ≤ y + 6

4y + 3 - 3 ≤ y + 6 - 3

4y ≤ y + 3

4y - y ≤ y - y + 3

3y ≤ 3

3y/3 ≤ 3/3

y ≤ 1

So any value of y less than or equal to 1 (so 1 is included in the solution set) satisfies the inequality. C is the correct answer.

5 0
3 years ago
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