Answer:
(2, 1 )
Step-by-step explanation:
Given the 2 equations
y = 6x - 11 → (1)
- 2x - 3y = - 7 → (2)
Substitute y = 6x - 11 into (2)
- 2x - 3(6x - 11) = - 7 ← distribute and simplify left side
- 2x - 18x + 33 = - 7
- 20x + 33 = - 7 ( subtract 33 from both sides )
- 20x = - 40 ( divide both sides by - 20 )
x = 2
Substitute x = 2 into (1) for corresponding value of y
y = 6(2) - 11 = 12 - 11 = 1
Solution is (2, 1 )
How to solve:
Step 1 : Note down the given ratio from the questions.
Step 2 : <span>Find the greatest common factor, and divide the numerator and denominator by that value.
Answer: 3:7</span>
Answer:
Step-by-step explanation:
Base on the question where as asking to state the translation vectors could have been used for the pair of figures, base on my research, I would say that the answer would be arrow pointing to the right.
Answer:
0.9 L of hardener
Step-by-step explanation:
Find the total mL then convert into L
60*15=900
900mL=0.9
Answer:
The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.
Step-by-step explanation:
The probability, in this case, has to be calculated using the sum rule because the events are independent.
P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it.
Facts:
P(men) = 60% = 99/165
P(non-fiction) = 40% = 66/165
P(men non-fiction) = 40/165
P = P(men) + P(non-fiction) – P(men non-fiction)
P = 99/165 + 66/165 – 40/165
P = 125/165
P = 0.758 or 75.8%