Answer:
= -3 (x-y)
Step-by-step explanation:
-5x - 4y + 2x + 7y
Collect the like terms by calculating the sum or difference of their coefficients
(-5+2)x
-3x
(-4+7)y
3y
-3x + 3y
Factor out -3 from the expression
-3 (x-y)
Answer: 3
Step-by-step explanation:
Feom the question, we are informed that students are making ornaments and each takes 1/2 of a piece of Bristol board and that they go to the cupboard and find 1 1/2 pieces of Bristol board.
The number of ornaments that they can make will be calculated by dividing 1 1/2 by 1/2. This will be:
= 1 1/2 ÷ 1/2
= 3/2 ÷ 1/2
= 3/2 × 2/1
= 3
They can make 3 ornaments
Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:
mean = (17+13+13+22+11+20)/6 = 16.
Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.
17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16
Now average these outcomes:
variance = (1+9+9+36+25+16)/6 = 16.
So the variance by coincidence is the same as the mean.
Answer C is your answer.
We know that area=0.5*base*height.
Thus, the equation would look like:
127.5=0.5*base*height
That means, 255 = base*height.
We know base is 17
Then, we divide 255 by 17. That gets us the height.
The height equals 15.
