Answer: 4/9
Step-by-step explanation: To multiply fractions, first multiply across the numerators, then multiply across across the denominators.
So here, we have 2 · 2 which is 4 and 3 · 3 which is 9.
So we have 4/9 which is in lowest terms.
This means that 2/3 · 2/3 is 4/9.
Answer:
9/7
Step-by-step explanation:
13/14 - 1/7 + 1/2
taking LCM
=(13-2+7)/14
=18/14
to its lowest term
=9/7
7x-3 = 18
+3 for both sides
7x = 21
devide 7 for both sides
x = 3
Answer:
76
Step-by-step explanation:
n a competitive exam of 40 questions, +3 is awarded for a correct answer and -1 for every wrong answer. Find the total score if a student had 11 wrong answers in his attempt of all questions.
Answers gotten wrong = 11
answers gotten right = 40 - 11 = 29
total score = (point for correct answer x number of correct answer) + (point for wrong answer x number of wrong answer)
(+3 x 29) + (-1 x 11) = 76
Answer:
x = 5.5 to the nearest tenth.
Step-by-step explanation:
Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.
The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:
cos 65 degrees = adj / hyp = x / 13, or
x = 13 cos 65
Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.