Answer:
1
Step-by-step explanation:
We need to find the factors of 18 and 35
Breaking into prime factors
18 = 2*9 = 2*3*3
35 = 5*7
There are no common factors so the greatest common factor is 1
Given is rectangle with perimeter = 54 centimeters and area = 176 squared centimeters.
Let's consider the length of rectangle = L and width of rectangle = W.
We know the following formulas for rectangle :-
Perimeter = 2 x (L + W)
Area = L x W
So we have 2 x (L + W) = 54 and L x W = 176.
L + W = 27 and L x W = 176
We need to find two positive integers such that their sum is 27 and product is 176.
Using trial and error, we have two such positive integers such that 11 + 16 = 27 and 11 x 16 = 176.
So, the dimensions of rectangle would be 11cm x 16cm.
Hence, option A is correct i.e. 11 cm by 16 cm.
Answer: x = (1,9]
Step-by-step explanation: If x is all real numbers greater than 1 (simply: x is greater but not equal to 1) then it is 1 < x. And if x is less than or equal to 9 then its x ≤ 9. To translate 1 < x ≤ 9 into interval notation, you need to keep in mind that parentheses are for these symbols: <>. And brackets are for these symbols: ≤≥. With that in mind, your answer is (1,9]. Also, keep in mind that interval notation goes from lowest value number to highest, so you wouldn’t write this notation as [9,1).
The percentage of students that passed the exam is 25.2%
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<u>The given parameters;</u>
- number of the males, = 85
- number of the females, = 30
- percentage of the female that passed = 40%
- percentage of the male that passed, = 20%
<u>To find:</u>
- the percentage of students that passed the exam
The number of the male students that pass the exam;

The number of the female students that pass the exam;

The total number of students in the school;
= 85 + 30
= 115
The total number of the students that passed the exam;
= 17 + 12
= 29
The percentage of students that passed the exam;

Thus, the percentage of students that passed the exam is 25.2%
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