First you add 42 + 21 and that equals 63
Next you divide 63 by 7 which is nine
So the answer is that there are 9 flowers in each bouquet
Answer: a) 59049, b) 15120, c) 126.
Step-by-step explanation:
Since we have given that
5 digit sequences from the integers 1,2,...9.
a) the digits can be the same.
Repetition is allowed.
So, Number of ways to form 5 digit sequences would be
b) the digits cannot be the same and the order in which they appear matters.
Repetition is not allowed and order is maintained, so we will use "Permutation":
c) the digits cannot be the same and the order in which they appear does not matter.
Repetition is not allowed and order is not maintained, so we will use "Combination":
Hence, a) 59049, b) 15120, c) 126.
Step-by-step explanation:
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To solve for any given number of variables, you need that number of equations to solve for all variables. When there are only two variables you only need to equations to solve for them both. You eliminate one variable at a time, order does not matter.
y-x=6 and y+x=-10
Since one equation has -x and the other +x, you can simply add the two equations together to eliminate x...
(y-x=6)+(y+x=-10)
y+y-x+x=6-10
2y=-4
y=-2, now you can use this value of y in either original equation to solve for x...
y-x=6, using y=-2 becomes:
-2-x=6
-x=8
x=-8
So the solution to the system of equations is the point (-8, -2)
You can always check by using these two values in the original equations...
y-x=6, -2--8=6, -2+8=6, 6=6
y+x=-10, -2+(-8)=-10, -2-8=-10, -10=-10
Answer:
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