Answer:
(7/8 - 4/5)^2 = 9/
1600
= 0.005625
Step-by-step explanation:
Subtract: 7/
8
- 4/
5
= 7 · 5/
8 · 5
- 4 · 8/
5 · 8
= 35/
40
- 32/
40
= 35 - 32/
40
= 3/
40
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven eighths minus four-fifths = three fortieths.
Exponentiation: the result of step No. 1 ^ 2 = 3/
40
^ 2 = 32/
402
= 9/
1600
In words - three-fortieths squared = nine one-thousand six-hundredths.
Answer:
p = -6
Step-by-step explanation:
1) Distribute 3 through the parenthesis {3p + 12 = p}
2) Subtract 12 from each side {3p = p - 12}
3) Subtract p from each side {2p = -12}
4) Divide each side by 2 {p = -6}
Answer:
Ari has 14 pennies.
Step-by-step explanation:
Number Value Total value
Pennies p $0.01 0.01p
Nickels (22 - p) $0.05 $(22 - p)0.05
Total 22 - $0.54
Since Ari has total value of the coins = $0.54
0.01p + (22 - p)0.05 = 0.54
0.01p - 0.05p + 1.1 = 0.54
-0.04p = -0.56
p = 
p = 14
Therefore, total number of pennies Ari has = 14
3/4 would be .75 because you would think of 100/4 which is 25 so you multiply 3 by 25. Hope this helped!
Answer:
1.B 2.H 3. A
Step-by-step explanation:
1. First, find out the percentage of people who voted for Mathematika in survey one.
The total amount of people who voted is 14+17+19, which equals 50. 17/50 people voted for Mathematika, 17/50 = 0.34.
To find out how many people out of 300 will vote for Mathematika, multiply the 0.34 by 300. 300 x 0.34 = 102, so 102 people will vote for Mathetika.
2. You use the same logic for number 2. 14+17+19+20+19+11 = 100, so 100 people voted in total. 34 people voted for Infinitus. 34/100 = 0.34. Multiply 0.34 by 750 to get 255 people will vote for Infinitus.
3. The mean = the average. To find the average, add up all of the numbers, then divide that number by the amount of numbers added together.
7+9+11+13+15 = 55
5 numbers were added together so you divide 55 by 5
55/5 = 11. The mean is 11
9+10+11+12+13 = 55
There were 5 numbers added together
55/5 = 11. Both the means were the same
