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rjkz [21]
3 years ago
5

What is the value of x

Mathematics
1 answer:
Goshia [24]3 years ago
6 0

Answer: -10

Step-by-step explanation:

is the answer

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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
Trey deposited 20% of his paycheck in the bank. if he deposited $30 how much was his paycheck
Komok [63]

Answer: 150

Step-by-step explanation: so when you want a whole amount of something you want to the 100% of it because 100% is the whole thing right? Well right now you only have 20% so how much do you need to multiply that by to get 100%?? Well that answer is 5. Okay so now since $30 is 20% but we wanna get it to 100% multiply it by 5 so 30x5 which is 150

3 0
3 years ago
The scatter plot shows the number of absences in a week for classes of different sizes. Trevor concluded that there is a positiv
QveST [7]
This is right the answer is A.
8 0
3 years ago
4 2/3 divided by 1/2 in fraction form
BlackZzzverrR [31]

Answer:

9 1/3

Step-by-step explanation:

4 2/3 = 14/3

14/3/1/2

14/3 x 2/1

28/3= 9 1/3

8 0
3 years ago
Read 2 more answers
If (5^2)p = 5^12, what is the value of p?
mr Goodwill [35]
Divide both sides by 5^2 (which is 25). So p = (5^12)/25. I can't be bothered to plug in into a calculator but be my guest.
3 0
3 years ago
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