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satela [25.4K]
2 years ago
15

The area of a rectangular piece of paper is 32 square inches. The perimeter is 24 inches.

Mathematics
1 answer:
rodikova [14]2 years ago
5 0

Answer

4 and 8

Explanation

List all factors of 32 and then find which number equals 24 when added

Or

You could waste time and use alegbra lol

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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
6 mm
Akimi4 [234]
The answer is 20 ashsnenzhwnebdhdjsjdn
7 0
3 years ago
Members of a baseball team raised $967.50 to go to a tournament. they rented a bus for $450.00 and budgeted $28.75 per player fo
aivan3 [116]

p=\frac{(967.50-450)}{28.75}


there are 18 players

hope this helps

<3



7 0
3 years ago
Read 2 more answers
The measure of an angle is 51 degrees
ki77a [65]
Supplementary angle = 180

180 - 51 = x

x = 129

C) 129 degrees is your answer

hope this helps
5 0
3 years ago
A professor gives a statistics exam. The exam has 100 possible points. The scores for the students in the second classroom are a
Vesna [10]

Answer:

N = 9

M = 87.11

Step-by-step explanation:

According to the situation, the data provided and the solution are as follows

The scores for the student in the classroom is

= 88 88 92 88 88 72 96 88 84

The different student's number of scores is 9

The solution of new n and M is shown below:-

Sample size (n) = 9

Sample mean (m) is

= \frac{Sum\ of\ all\ data\ values}{Sample\ size}

= \frac{88 + 88 + 92 + 88 + 88 + 72 + 96 + 88 + 84}{9}

= \frac{784}{9}

= 87.11

3 0
3 years ago
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