Answer:
8 quarters
12 nickels
12 pennies
16 dimes
Step-by-step explanation:
The trick is to ASSUME the dimes.
Start by thinking about the three explicit premises and the one implicit premise.
1) Quarters = 1/6 of total coins
2) Nickels = 1.5 the number of quarters
3) Pennies = 1/4 of total coins
Also, ASSUME an unknown number of dimes to fill in the gap.
48 Total Coins = $4.32
⅙ of 48 = 8 8 quarters = $2.00
1.5 x 8 = 12 12 nickels = $0.60
¼ of 48 = 12 12 pennies = $0.12
Add those coins = $2.72
Take the known total and minus this sum.
$4.32 - $2.72 = $1.60
16 dimes = $1.60
Thus, you have the following:
8 quarters (⅙ of total coins) $2.00
12 nickels (1.5 the number of quarters) $0.60
12 pennies (¼ the number of total coins) $0.12
+ 16 dimes $1.60
Total Coins 48 $4.32
Answer:
40
Step-by-step explanation:
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
You take (8x - 6) then add 80 =90 then solve for x
8x-6+80 =90
x= 2
Take a better picture, so we can actually see the work?