Determine the number of ways to choose a set of 9 pencils from a selection of 10.
Answers
Answer:
The number of ways to choose a set of 9 pencils from a selection of 10 is 10.
Step-by-step explanation:
According to the combination formula, the total number of ways to select r items from total n items is
Total number of pencils = n = 10
Number of selected pencils = r = 9
The number of ways to choose a set of 9 pencils from a selection of 10 is
Therefore the number of ways to choose a set of 9 pencils from a selection of 10 is 10.
a b c d e f g h i j
choosing 9 of them will exclude one. There are 10 pencils, so 10 opportunities to exclude one of them. So there are 10 ways, to answer your question.
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Find the area of a 7-gon with side length 10. Round to a whole number.
Algebraic ExpressionsWhich of the following sets of ordered pairs represents a function? {(-2,1),(-1,3),(2,1),(-2,2)} {(-1,4),(1,4),(2,4),(-2,4)} {(-1,3),(-1,4),(-1,5),(-1,6)} {(2,2),(3,3),(4,4),(2,1)} Use complete sentences to describe the relationship between sets A and B if A is a subset of or is equal to B. A = {8} B = {7, 8, 9} Which of the following properties is a(b · c) = (a · b)c an example of? associative property commutative property multiplicative identity distributive property Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is m, a, e, i, o, u, t, h the empty set i a, e, i, o, u, y If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)}, then the range of G is {(7, -1),(2, -8),(0, 0),(6, 6)} {-8, -1, 0, 6} {0, 2, 6, 7} Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C. {} {a} {a, b, e, g, h, l, m, r, t, y} If A ⊂ B and A ∩ B = θ then which of the following can be concluded about the sets A and B? Set A has more elements in it than set B. Set A is the set containing zero. Set A is the empty set. Both sets A and B are the empty set. Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B. {} {a,e} {a, b, e, g, i, l, o, r, u} Which of the following properties is 5(3 + 2) = 15 + 10 an example of? associative property commutative property multiplicative identity distributive property Given f(x) = 3x - 1 and g(x)= -x + 6, find f(-2) + g(5). -6 6 8 List all of the elements of set A if A = {x|x is an integer and -6 ≤ x <0} {-6, -5, -4, -3, -2, -1, 0} {-6, -5, -4, -3, -2, -1} {-5, -4, -3, -2, -1}
The diagram, AB←→ || CD←→. Which pair of angles can be proven congruent?∠EIA≅∠KIJ ∠EIA≅∠GJI ∠GJB≅∠IKL ∠GJB≅∠JLK
is used for Clothing and Savings combined, what is the total annual income?
Savings
9%
Insurance
10%
Entertainment
11%
Auto
14%
Clothing
16%
Food
18%
Housing
22%
Answers
we find that the total annual income is $40,178.57.
To find the total annual income, we need to subtract the amount spent on clothing and savings from 100%.
Clothing and savings make up 16% of the income, so the remaining 84% is used for other expenses.
Let's call the total annual income 'x'.
The equation can be written as:
84% of x = $33,750.
To solve for x, we can set up a proportion: 84/100 = $33,750/x.
Cross multiplying gives us 84x = $33,75000.
Dividing both sides by 84,
we find that x = $40,178.57.
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If 18,600 is 31% of X then X x .31 = 18,600
Then solve for X
18,600 / .31 = 60,000
Then check your answer:
31% of 60,000 is 60,000 x .31 = 18,600
F- 0
G- 8
H- 13
J - 15
Answers
Answer:
H. 13
Step-by-step explanation:
To find the output of a function, substitute the value given in parentheses for x, and do the operations.
Given f(3)
f(3) = 5(3) - 2
f(3) = 15 - 2
f(3) = 13
Answer:
its 13 ^^
Step-by-step explanation:
Answers
Answer: 28
Step-by-step explanation:
To find the common denominator, you want to find the least common multiple of 4 and 7. The easiest way to do this is to multiply the denominators.
4*7=28
Therefore, the common denominator is 28.
Final answer:
The common denominator of the fractions 8/7 and 2/4 is 28. This is found by multiplying the original denominators together, as this resulting product can be evenly divided by both original denominators.
Explanation:
The question is asking for the common denominator of two fractions, 8/7 and 2/4. A common denominator is a number that both denominators can divide into evenly.
To find this, let's first look at the denominators of your two fractions. We have 7 and 4 as the denominators.
Start by multiplying these two numbers together to give 28. Indeed, both 7 and 4 can divide into 28 evenly (7*4=28, 4*7=28) so, 28 is a common denominator for these two fractions.
Therefore, the common denominator of 8/7 and 2/4 is 28.
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Answers
= 9 hrs + 15/60 hrs
= 9hrs + 1/4 hrs
= 37/4 hrs
Now,
Distance= 538 miles
Time = 37/4 hrs
Average Speed
= 538/(37/4)
=(538*4)/37
= 58.16 miles/hr
Answers
A perfect square trinomial can be factored into this form: (x+a)^2Note that (x+a)^2 = x^2 + (2a)x + a^2To find the missing number, we should take the 12 (in the 12x term) and divide it by two to get 6. This number squared will be the missing number at the end of the trinomial.
Let's check that this is the correct answer.(x+6)^2 = x^2 + 12x + 36Indeed, 36 is the correct answer."
Answer:
36
Step-by-step explanation: