Answer:
84
Step-by-step explanation:
Combinations
nCr
n (objects) = 9
r (sample) = 3
9C3
n! / r! (n – r)!
9! / 3! (9 – 3)!=
9! / (3! * 6!)=
9*8*7*6!/ (3! * 6!)=
6! cancels out
9*8*7/3*2*1=
3*4*7=
12*7=
84
Step 1: subtract x from -3. New equation should be y=-3-x.
Step 2: plug that equation into top equation. Should be 5x + 2(-3-x) = 9.
Step 3: use distribitive properties on 2(-3-x). New equation is 5x - 6 - 2x = 9.
Step 4: combine like terms. New equation 3x - 6 = 9.
Step 5: work it out. Divide 3x and 9 by 3. New equation is x - 6 = 3. Add 6 to -6 and 9. Final eqaution is x = 9.
Step 6: swap 9 for x in second equation. New equation is 9 + y = -3
Step 7: subtract 9 from 9 and -3. New equation is y = -12
: = = -
Answer:
Step-by-step explanation:
1) Find the common denominator.
2) Multiply everything by the common denominator.
3) Simplify.
4) Check the answer(s) to make sure there isn't an extraneous solution.
Denominator: The value in a fraction that appears below the fractional bar and indicates the total number of equal parts.
In a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the vinculum.
A mixed number is a representation of both a whole number and a legal fraction. In most cases, it denotes a number that falls between any two whole numbers.
An integer that totally or partially divides another integer is known as a divisor.
In a division equation, a divisor is represented by the formula
Dividend ÷ Divisor = Quotient.
The correct option is (a).
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