Answer: 34 stuffed animals & 17 mystery boxes.
First off, split 51 into three parts, trying to find how much 1/3 is of 51. It equals 17.
The stuffed animals in the machine are “twice as much” of the mystery boxes, so you need to multiply 17 x 2 to find the amount of stuffed animals.
17 x 2 = 34
As for the mystery boxes, you need to multiply it by one.
17 x 1 = 17.
In summary, the answer is 34 stuffed animals and 17 mystery boxes.
Answer:
f(-5) = 4(-5) + 1 = -20 + 1 = -19
f(-1) = 4(-1) + 1 = -4 + 1 = -3
f(2) = 4(2) + 1 = 8 + 1 = 9
f(3) = 4(3) + 1 = 12 + 1 = 13
f(5) = 4(5) + 1 = 20 + 1 = 21
Answer:
7*(2a-1)
Step-by-step explanation:
<h3>Answer: Choice D</h3>
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Explanation:
The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.
The shortest way is to simply count how many negative signs each expression has.
The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.
For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.
Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.
Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.
A) yes
B) yes
C) no
For each of these, substitute the value of x in the ordered pair into x in the function.
For A, x = -5; -5<2, so the piece of the function we want is f(x) = 3. In our ordered pair, y=f(x)=3, so yes, it is a solution.
For B, x = 2; 2≤2<6, so the piece of the function we want is f(x) = -x+1. In our ordered pair, y=f(x)=-1; -2+1=-1, so yes, it is a solution.
For C, x = 8; 8≥6, so the piece of the function we want is f(x) = x. In our ordered pair, y=f(x)=-7; -7≠8, so no, it is not a solution.
