There's no need to get into an ethical morass over math homework.
111.
M is 20% less than N means
M is 100-20=80% of N
M=0.80 N
M/N = 0.8 = 4/5
Ratio: 4/5
112.
When we know <em>a, </em>the average, and <em>n, </em>how many numbers there are, we know the sum <em>s</em>, because <em>a=s/n </em>so <em>s=na.</em>
So the sum of our six numbers is 6(3.5)=21 so the sum of the seven numbers is 21+4.2=25.2 so the average is 25.2/7 = 3.6
Answer: 3.6
113.
|2p + 4 | < 3
At p=-2 the absolute value is zero. As p gets more negative the absolute value argument (inside part) gets negative and the absolute value gets bigger, more positive. Eventually the inside will be exactly -3, when
2p +4 = -3
2p = -7
p = -7/2 = -3 1/2
So p=-4 will make the inequality false, and p=-3 is the smallest integer that makes the inequality true.
Answer: -3
114.
The distance from the origin is given by the Pythagorean Theorem and this one is a 3/4/5 right triangle:
Answer: .5 or 1/2
D if you take 6/25 = 24/100 then change to a decimal and get 0.24
Commutative property of multiplication states that u can " commute " , move around the numbers and get the same result.
Example : 1 * 2 * 3 = 3 * 2 * 1...they still equal no matter what order u put them in.
so cba = abc by commutative property of multiplication
Answer:
Combine the like terms. In this equation there are two like terms. They both are xy. Note: When there is no number in front of a term, you can assume that the number is 1.
5xy - 1xy
Subtract normally and then attach the xy.
4xy
Hope this helps! :)
2/3 / 1/6
When dividing by a fraction, flip the second fraction over and change divide to multiply:
2/3 x 6/1 = (2 x6) / (3 x 1) = 12/3 = 4
The answer is 4