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
Answer: a package of cookies cost $ 5 and each bag of chips cost $5
Step-by-step explanation:
Let x represent the cost of a package of cookies and y represent the cost of a bap of chips ,then from the first statement :
4x + 4y = 40
dividing through by 4 , we have
x + y = 10 ........................... equation 1
From the second statement
3x + 5y = 40 ..................... equation 2
Solving the system of linear equation by substitution method , from equation 1 , make x the subject of the formula , that is
x = 10 - y ................... equation 3
substitute x = 10 - y into equation 2 , we have :
3 (10 - y ) + 5y = 40
30 - 3y + 5y = 40
30 + 2y = 40
subtract 30 from both sides
2y = 40 -30
2y = 10
y = 5
substitute y = 5 into equation 3 , equation 3 becomes
x = 10 - 5
x = 5
Therefore ; a package of cookies cost $ 5 and each bag of chips cost $5
Slope Formula:
I am going to show you how to do this on problem 6, and you will do the rest of the problems.
Here are the steps to solving problem 6
Step 1) Substitute the coordinates into the slope formula
Step 2) Now Lets simplify the denominator, so we don't have two Subtractions symbols.
Step 3) Simplify
Step 4) We can still simplify more
Hope This Helps ... Good Luck
[The reason I didn't do all of them is because you need to know how to do them. Trust me later on knowing these is going to be very handy.]
Answer:
25 months
Step-by-step explanation:
when the rent, y = 0, we have,
y = -200.22x + 5014.20
y = 0
0 = -200.22x + 5014.20
200.22x = 5014.20
x = 5014.20 ÷ 200.22
x = 25.0434
x = 25(appx.)
Sorry, I don't know what you mean by interpolation and extrapolation:(
