In this item, we are informed that the order of the entries does not matter in determination the number of ways in which the Archie can choose for his party. Because the arrangement or order is not important, this type of problem uses the concept of COMBINATION.
The equation for combination is,
nCr = n!/((n - r)!(r!))
nCr is read as "combination of n taken r".
Substituting the known values to the equation,
15C6 = 15! / ((15 - 6)!(6!))
= 5005
Hence, there are 5005 ways in which Archee can choose the 6 entrees for his party.
Answer:
15.83 ounces
Step-by-step explanation:
95/6 is about 15.83
Use division to divide things evenly
<u><em>1</em><em>s</em><em>t</em><em> </em><em>photo....</em></u>
<em>Yes</em>
<em>Explanation</em>
All when divided becomes 1/3 , so it is proportional...
<em>Pls </em><em>mark</em><em> </em><em>brainliest</em>
<u><em>2</em><em>n</em><em>d</em><em> </em><em>photo</em><em>.</em><em>.</em><em>.</em><em>.</em></u>
Yes<em> </em>
<em>Explai</em><em>n</em><em>ation</em>
<em>Also </em><em>when </em><em>divided </em><em>becomes </em><em>1</em><em>/</em><em>3</em><em>.</em><em>.</em><em>.</em><em> </em><em>Same </em><em>proportional</em>
The equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2
<h3>Solving inequalities </h3>
From the question, we are to determine the equivalent form of the compound inequality
We will solve the given compound inequality
The given inequality is
−22 > −5x − 7 ≥ −33
We can write that
−22 > −5x − 7 AND −5x − 7 ≥ −33
Solving −22 > −5x − 7
5x > -7 +22
5x > 15
x > 15/5
x > 3
Also,
Solve −5x − 7 ≥ −33
−5x ≥ −33 +7
-5x ≥ -26
x ≤ -26/-5
x ≤ 5.2
Hence, the equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2
Learn more on Inequalities here: brainly.com/question/20356565
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Using the number line, the numbers that are 9 units from -5 are: -14 and 4.
<h3>How to Locate a Number on a Number line?</h3>
To find two numbers that cover the same units from a given point on a number line, we can simply do the following:
- Count the number of units given backwards/to the left from the point stated to get the first number.
- Count the number of units given forwards/to the right from the point stated to get the second number.
Thus, we are asked to find the numbers that would be 9 units from -5, using the number line.
Count 9 units backwards/to the left from -5 to get the first number, which is: -14
Count 9 units forwards/to the right from the -5 to get the second number, which is: 4.
Therefore, the numbers that are 9 units from -5 on the number line, are: -14 and 4.
Learn more about number line on:
brainly.com/question/24644930
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