simplify 3^5 x 3^4
per pair of socks.
PLEASE QUICK QUICK
Answer:
The unit price is 7.79
Step-by-step explanation:
To find the unit price, you should divide what the money is by how many pairs the package has. So for this problem it would mean the equation would be 23.27/3 and the answer is 7.79.
Answer:
2/7
Step-by-step explanation:
So we multiply 3 by 2, and get 6.
Then we multiply 1 by 4, and get 4.
Next we give both terms new denominators -- 4 × 2 = 8.
So now our fractions look like this:
6/8 - 4/8
6 − 4 = 2
So the answer is:
2/8
A. Find the exact length of c in unsimplified radical form
B. Find the exact length of c in simplified radical form
C. Find c to the nearest hundredth
**I put the pic down below**
2. Consider the numbers 4/13 and 3/10 .
A. Compare the numbers.
B. Find a rational number between the two given numbers.
3. Use the Babylonian method to approximate √19 to the nearest hundredth.
The correct answers are:
#1: A) c = √18
B) c = 3√2
C) c = 4.24
#2: A) 4/13 > 3/10
B) 79/260
#3: 4.36
Explanation:
#1: A) We use the Pythagorean Theorem to solve this:
a² + b² = c²
3² + 3² = c²
9 + 9 = c²
18 = c²
Taking the square root of each side:
√18 = √c²
√18 = c
B) To simplify √18, we first find the prime factorization of 18:
18 = 9*2
9 = 3*3
This gives us
18 = 3*3*2
When we take the square root, we are looking for pairs. We have a pair of 3's; this means we take a 3 out:
3√2
C) In the calculator, we see that 3√2 = 4.24.
#2: A) First, we find a common denominator. The first thing that both 13 and 10 will divide into is 130:
(4*10)/130; (3*13)/130
40/130; 39/130
Since 40 > 39, this means that 4/13 > 3/10.
B) There is not enough space between the two fractions to use 130 as the denominator; we will double that to 260:
(40*2)/260; (39*2)/260
80/260; 78/260
The fraction between these two would be 79/260.
#3: Using the Babylonian method, we first make a guess. Since 9 is nearly half of 19, we will start there.
Next, we divide 19 by our guess:
19/9 = 2.111
We average this quotient with our guess:
(9 + 2.111)/2 = 11.111/2 = 5.5555
This is our new guess. Now divide 19 by this guess:
19/5.5555 = 3.4200342
Average this with our guess:
(5.5555+3.4200342)/2 = 4.4877671
This is our new guess. Divide 19 by this guess:
19/4.4877671 = 4.233731291
Average this with our new guess:
(4.4877671+4.233731291)/2 = 4.360749196
This is our new guess. Divide 19 by this guess:
19/4.360749196 = 4.357049476
Average this with our new guess:
(4.360749196+4.357049476)/2 = 4.358899
Make this our new guess. Divide 19 by this guess:
19/4.358899 = 4.3588988
Average this with our guess:
(4.358899+4.3588988)/2 = 4.3588989
Since the hundredths place has been the same the last few lines, we round to that: 4.36.
Answer: There is 61.9% decrease in the value from 126 ounces to 48 ounces.
Step-by-step explanation:
Original value=126 ounces
New value = 48 ounces
Difference = 126-48 = 78 ounces
So, Percentage of decrease value is given by
So , there is 61.9% decrease in the value from 126 ounces to 48 ounces.
Answer:
Decrease in percentage = 61.9%
Step-by-step explanation:
Decrease from 126 ounces to 48 ounces percent
First find out the amount of decrease. Subtract the number to find the amount of decrease
now find out which percentage is 78
percentage =
Decrease in percentage = 61.9%