Answer:
Minor earthquakes occurred in the country in the last year were<u> 2326</u>.
Step-by-step explanation:
Given:
In the last year, a total of 2727 earthquakes occurred in the country.
Of these, 85.3 % were minor tremors with magnitudes of 3.9 or less on the Richter scale.
Now, to find the minor earthquakes occured in the country last year.
<em>Total earthquakes occurred in the country = 2727.</em>
<em>The percent of minor earthquakes = 85.3%</em>.
Now, to get the number of minor earthquakes:
85.3% of 2727.
<em>The number of minor earthquakes nearest whole number = 2326.</em>
Therefore, minor earthquakes occurred in the country in the last year were 2326.
Ms. Cassidy instructed Miguel to change one sign of the graph of y < 2x – 4 so that point (2, 3) can be included in the solution set.
To check which of the given options might Miguel write we check the inequality that holds true for the point (2,3).Substituting x=2 ,y=3 we have:
1) y < 2x – 1
3<2(2)-1
3<3 Not True.
2)y ≤ 2x – 4
3≤ 2(2) -4
3≤ 0 .Not true.
3) y > 2x – 4
3> 2(2)-4
3> 0 True.
4) y < 2x + 4
3<2(2)+4
3<8 True
5) .y < 3.5x – 4
3< 3.5(2)-4
3<3 Not true
6) y < 4x – 4
3<4(2)-4
3<4 True.
Options 3 ,4 ,6 holds true for the point (2,3)
Answer: 9/12, 2/12
Step-by-step explanation:
Start by writing multiples of 6 and 4
4: 4, 8, 12
6: 6, 12, 18
Did you see the multiple that both numbers have? Yup, it's 12. So that has to be your denominator for both fractions. This is because you have to have the <u>LEAST</u> COMMON Denominator (LCD). So both numbers have 12 in common as one of their multiples and, it's the least common one because there are no numbers that come before it that are common for both numbers. Now, you just have to change the denominators of both fractions into 12. To do that to 3/4, just multiply the top and bottom by 3 to get 9/12. To do that to 1/6, just multiply the top and bottom by 2 to get 2/12. Hope this helps!
NOTE: REMEBER THAT WHATEVER YOU DO TO THE TOP OF A FRACTION, YOU HAVE TO DO IT TO THE BOTTOM TOO (AND VICE VERSA)
In order to get the answer of that, let's understand first that the question can first be presented as a fraction form. So by breaking down the question, we will be able to get the fraction form which is 300/2530. Now in order to get the percent form of that, we simply divide 300 and 2530. The answer to that will result in 0.11858. Now we know for a fact that in order to make a decimal a percentage, we just have to move the decimal point two times to the right. So the answer is 11.858%
