Answer: Parallelogram.
Explanation: A simple quadrilateral with two pairs of equal opposite angles is a parallelogram. (Because then the opposite sides are parallel.) A simple quadrilateral with two pairs of equal opposite sides is a parallelogram.
We have been given that Sam uses an industrial kitchen to bake several batches of his famous chocolate chip bars.
Further, we are given that Sam needs to weight out 78 ounces, plus or minus 2.5 ounces.
Therefore, the equation that can be used to find maximum or minimum amount, c, of chocolate chips that he can weight out is:
There are a total of 5+6+4+3+2=20 M&Ms in the bag. Since there are 6 yellow M&Ms in the bag, there's a 6/20 probability that the first M&M will be yellow. Then, there are 5 more yellow M&Ms and 19 more total M&Ms in the bag, so there is a 5/19 chance the next M&M will be yellow. Finally, there are 4 more yellow M&Ms in the bag and 18 total M&Ms, so there is a 4/18 chance the last M&M will be yellow.
Multiplying these together, we have:
(6*5*4)/(20*19*18)
This simplifies to:
1/57
Therefore, there is a 1/57 probability that all M&Ms will be yellow.
Answer: Choice C) -11
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Explanation:
The first equation given is y = 3 - 1/2x
In other words, y is the same as 3 - 1/2x.
We can replace y in the second equation with 3 - 1/2x
This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)
Doing this leads to...
3x+4y = 1
3x+4*y = 1
3x+4*( y ) = 1
3x+4*( 3 - 1/2x ) = 1 <<--- y has been replaced with 3-1/2x
3x+4*(3) +4*(-1/2x) = 1
3x+12-2x = 1
3x-2x+12 = 1
x+12 = 1
x+12-12 = 1-12 <<-- subtracting 12 from both sides
x = -11
Which is why the answer is choice C) -11
4^21/5^6
Multiply the the powers through the parentheses.
