Answer:
If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line. This line divides the xy- plane into two regions: a region that satisfies the inequality, and a region that does not.
She read 5.5 books per month x
a) You have to find the greatest common factor for the values 45 and 54
To do so you have to determine the factors for each value and determine the highest value both numbers are divisible for.
Factors of 45 are
1, 3, 5, 9, 15, 45
Factors of 54 are
1, 2, 3, 6, 9, 18, 27, 54
The greatest common factor is 9, this means that you can divide both numbers by 9 and the result will be an integer:
b) Given the addition
You have to factorize the adition using the common factor.
That is to "take out" the 9 of the addition, i.e. divide 45 and 54 by 9 and you get the result (5+6) but for this result to be equvalent to the original calculation, you have to multiply it by 9
Answer:
D) 1/36
Step-by-step explanation:
You are trying to roll a 3 the first time, and then a 5 the second time. This means that order matters.
It is given to you, that you are rolling a standard die (6-sides). The dice is ordered in the following: 1, 2, 3, 4, 5, 6
The first time, you are rolling for a 3. Note that there is only one 3 in the sequence, so your chance of rolling a 3 is 1 out of 6: 1/6.
The second time, you are rolling for a 5. Note that there is only one 5 in the sequence, so your chance of rolling a 5 is 1 out of 6: 1/6.
Next, multiply the two fractions together to find the probability of rolling a 3 and then a 5:
1/6 x 1/6 = (1 x 1)/(6 x 6) = 1/36
D) 1/36 is your answer.
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The three sides given shows the it is a 30-60-90 right triangle. Since the base of sqrt (6) is the second largest number it would correspond to 60°.