Answer:
20
Step-by-step explanation:
12 times 5/3 =60/3=20
Answer:
24 possible outcomes
Step-by-step explanation:
Combination has to do with selection. For example, if r object is selected from a pool of n objects, the number if possible ways can be expressed according to the combination formula:
nCr = n!/(n-r)!r!
Applying this in question, if each student receives one of 4 calculator models and one of 3 types of ruler, the number of ways this can be done is:
4C1 × 3C1
4C1 = 4!/(4-1)!1! {If a student gets one calculator)
4C1 = 4×3×2/3×2
4C1 = 4ways
3C1 = 3!/(3-2)!1! {If a student gets a ruler}
3C1 = 3×2/1
3C1 = 6ways
Total number of possible outcomes if a student gets one ruler and one calculator will be 4×6 = 24ways
Answer:
x=−1 or x=−6
Step-by-step explanation:
Multiply all terms by x and cancel:
xx+6=−7x
x2+6=−7x(Simplify both sides of the equation)
x2+6−−7x=−7x−−7x(Subtract -7x from both sides)
x2+7x+6=0
(x+1)(x+6)=0(Factor left side of equation)
x+1=0 or x+6=0(Set factors equal to 0)
x=−1 or x=−6
Check answers. (Plug them in to make sure they work.)
x=−1(Works in original equation)
x=−6(Works in original equation)
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Less than
2/8=1/4
1/4 < 1/2
This is a very hard question but, i am a very hard man.