Answer:
Let the breadth is x, then the length is 3x.
<u>The area is:</u>
<u>The breadth is decreased by 2 m: </u>
<u>The length is increased by 4m: </u>
<u>The area is now:</u>
- (x - 2)(3x + 4) = 3x² - 1/3(3x²)
- 3x² + 4x - 6x - 8 = 2x²
- x² - 2x - 8 = 0
- x² - 2x + 1 = 9
- (x - 1)² = 3²
- x - 1 = 3
- x = 4
The breadth was 4 m and the length 12 m
Answer:
B) Independent; the 1st marble selection will not affect the 2nd marble selection.
Step-by-step explanation:
When finding the probability of events in mathematics, we have both independent and dependent events.
Independent events are events that occur when the results of selection of the first events does not affect the results or outcomes of the second events.
Dependent events are the opposite of Independent events. They are events that occur when the results or outcomes obtained from the second events is affected by the results or outcomes from the selection of the first events.
From the question, we can see that the first event is she picked one marble from the bag. The second event is she replaced the marble before picking another marble. By doing this, the total number of possible outcomes for the probabilities of both events remains the same and they are unaffected.
Therefore, we can say that the two events are Independent because the 1st marble selection will not affect the 2nd marble selection.
Answer:
4.4
Step-by-step explanation:
The tenth place in this number is 4.<u>4</u>32, so that should be the last digit.
Now, we need to know wether to round up or down. That is determined by the digit that comes after it. <em>If that digit, here it is the hundredth, is 0-4, it rounds down, if it is 5-9, it rounds up</em>. Our next digit is <em>3</em>, which goes into the first category, <em>so the number rounds down</em>, so the tenth remains the same. That leaves us with 4.4.
Answer:
C. X=6
Step-by-step explanation:
Length of one side =52/4= 13
3X-5= 13
3x = 13+5
X= 18/3
X= 6
Answer: B
Step-by-step explanation: I took the quiz and got it right
Also, if you graph the equations on a graphing calculator, the lines are right on top of each other, so the first equation can't be less than -1, so no solutions
