(45 POINTS)
Answer the Question below:
Answers
Justification 1: Given
Justification 2: Distributive Property
Justification 3: Addition property of Order
Justification 4: Subtraction property of Order
Justification 5: Division Property of Order
Step-by-step explanation:
We need to solve the inequality and give reasons:
-2(x+6)<3(x+1)
Justification 1: Given
Applying distributive property by multiplying -2 and 3 with terms inside the bracket.
-2x-12<3x+3
Justification 2: Distributive Property
Adding 12 on both sides
-2x<3x+15
Justification 3: Addition property of Order
Subtract 3x on both sides
-5x<15
Justification 4: Subtraction property of Order
Divide both sides by -5 and reverse the inequality.
x>3
Justification 5: Division Property of Order
Keywords: Solving inequalities
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Find the value of the combination. From a committee consisting of 8 men and 5 women, a subcommittee is formed consisting of 4 men and 3 women. How many different subcommittees are possible? 80 700 1,716
Answers
Prime factors are prime numbers. These numbers can only be divided by 1 and itself.
42 ÷ 2 = 21
21 ÷ 3 = 7
2, 3, and 7 are prime factors: 2 * 3 * 7 = 42
63 ÷ 7 = 9
9 ÷ 3 = 3
3 * 3 * 7 = 63 OR 3² * 7 = 63
-x+5y=23
Answers
{ - x + 5y = 23
4y + 5y = 22 + 23
9y = 45
y = 45
9
y = 5
x + 4y = 22
x + 4 . 5 = 22
x + 20 = 22
x = 22 - 20
x = 2
S = { 2 , 5 }
-x+5y=23 (+)
9y=45
y=5
x+4*5=22
x=22-20
x=2
Answers
Answer:
the volume of the prism is 236 m^3
Step-by-step explanation:
The computation of the volume of the prism is shown below:
As we know that
The Volume of the prism is
= length × width × height
= 11.8 × 4 × 5
= 236 m^3
hence, the volume of the prism is 236 m^3
of the 9 volunteers? Is this a combination or a
permutation? Explain.
Answer choices:
a. 84; combination because the order does
not matter
b. 504; combination because the order
does not matter
C. 84; permutation because the winners
are chosen one at a time
d. 504; permutation because the winners
are chosen one at a time
Answers
Answer:
c
Step-by-step explanation:
Final answer:
The $5 gift cards can be given to 3 of the 9 volunteers in 84 different ways.
Explanation:
This is a combination problem because the order in which the gift cards are given does not matter.
To find the number of ways the gift cards can be given to 3 of the 9 volunteers, we can use the combination formula:
C(n,r) = n! / (r!(n-r)!)
In this case, n = 9 (the number of volunteers) and r = 3 (the number of gift cards to be given).
Plugging in the values, we get:
C(9,3) = 9! / (3!(9-3)!) = 84
Therefore, there are 84 ways to give the $5 gift cards to 3 of the 9 volunteers.
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A. 264 m2
B. 276 m2
C. 528 m2
D. 756 m2
Answers
To find this area we just need to add up the area of all of those sides.
The 2 bases are the same area and defined by the length and width.
That leaves the 2 sides defined by length and height,
plus the 2 defined by width and height.
Of course, to find the area of a rectangle, we just multiply together its two dimensions.
length × height = 14 × 6 = 84
width × height = 9 × 6 = 54
2 × 84 + 2 × 54 = 276 m²
k12
280z - 25y - 30
PLS ASAP
Answers
Answer:
Step-by-step explanation:
Forst step is finding a common factor, you can do this easily by looking at the ones digit. All 3 values end in 0 or 5, so a factor is definately 5.
We now divide all values by 5.
Once you get a prime number after factoring, that is the GCF, Greatest Common Factor. We can make an equation like what is below to show oir factored answer.