Answer:
Step-by-step explanation:
This question is permutation problem. permutations is the number of arrangements or orderings within a constant group.
The formula for permutation is given as
nPk = n!÷(n-k)!
Where n is the number of objects, k is the is the number of objects we want to chose from.
Solution to the question
15P8 = 15!÷(15-8)!
= 15!÷7!
= 15×14×13×12×11×10×9×8×7×6×5×4×3×2×1÷7×6×5×4×3×2×1
= 259459200
Answer:
i believe the 3rd one is it but yet im not for sure
Step-by-step explanation:
1. 4b - 2 : the product of 4 and a number (b) decreased by 2
2. the sum of 15 and 4 times a number......15 + 4x
3. 8 fewer boys then girls...how many boys.......b = g - 8
4. It will be less then 1 because of the negative exponent....a negative exponent will mean the number is less then 1...I dont really know how else to explain it.
5. Doug is twice Anna's age...doug is 34 years old
I dont know the 5 step plan...but I am putting what I do know
d = doug's age
a = anna's age
d = 2a
d = 34
34 = 2a
34/2 = a
17 = a....so anna is 17
check..
d = 2a
d = 2(17)
d = 34 (correct)
Answer:
(7, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
x = 2y + 5
x/3 - y = 4/3
<u>Step 2: Solve for </u><em><u>y</u></em>
- Substitute: (2y + 5)/3 - y = 4/3
- Multiply 3 on both sides: 2y + 5 - 3y = 4
- Combine like terms: -y + 5 = 4
- Isolate <em>y</em> term: -y = -1
- Isolate <em>y</em>: y = 1
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define: x = 2y + 5
- Substitute: x = 2(1) + 5
- Multiply: x = 2 + 5
- Add: x = 7
And we have our final answer!
