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joja [24]
2 years ago
12

What is the product and simplest form 2/3 times 1/8

Mathematics
2 answers:
ludmilkaskok [199]2 years ago
7 0

Answer:

\frac{1}{12}

Step-by-step explanation:

Since we're finding the product, we have to multiply:

\frac{2}{3} × \frac{1}{8}

You can simplify in this stage by using the "butterfly method", and dividing 2 by 2, and 8 by 2, you'd then have:

\frac{1}{3} × \frac{1}{4}

Multiply the numerators and the denominators to get:

\frac{1}{12}

~

If you prefer the longer way, again, multiply:

\frac{2}{3} × \frac{1}{8}

Multiply the numerators and the denominators:

\frac{2}{24}

Simplify the fraction by dividing both the numerator and denominator by 2:

\frac{1}{12}

Morgarella [4.7K]2 years ago
7 0
2/3 multiplied by 1/8 would be 2/24. But in simplest form, it would be 1/12.
This is because when you multiply the numerators (top of the fraction), which in this case is 2 and 1, you get 2.
And the denominators (bottom part of the fraction), which is 3 and 8, would equal 24.
Then that would give you the fraction 2/24. And that can be simplified by finding the gcf (greatest common factors).
The gcf of 2 would be 2. Since it’s the highest number that fits in it.
Since you can’t get any higher than 2, you can’t use any other factors from 24.
So 24 divided by 2 is 12.
So the answer you get in the end is 1/12. I hope this helped :)
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If your front lawn is 17.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1050 new snowflakes every minu
Alexus [3.1K]

Answer: 42.84 kg

Step-by-step explanation: Lawn is 17 ft x 20 ft.

Its area is S = 17 x 20 = 340 ft²

Each ft² of lawn accumulates 1050 snowflakes/min, 1ft² = 1050 s.f./min.

As 1 hour has 60 min, the lawn accumulates 63000/hour →

1050 x 60 = 63000

1ft² = 63000s.f./hour

This way, 340 ft² of lawn will accumulate 21,420,000 s.f/hour →

340 x 63000 = 21420000

As 1 snowflake has 2mg,  21,420,000 will have 42,840,000 mg.

As 1kg = 1,000,000 mg

42,840,000/1,000,000 = 42.84 kg

3 0
2 years ago
William has 32 coins that are all either quarters or dimes. The coins have a value of $5.00. How many dimes does William have?
Arte-miy333 [17]

Answer:

Step-by-step explanation:

d + q = 32

.10d + .25q = 5.00

d + q = 32

10d + 25q = 500

-10d - 10q = -320

 10d + 25q = 500

15q = 180

q= 12 quarters

d + 12 = 32

d = 20 dimes

5 0
2 years ago
A car uses 125 gallons of gasoline to travel 5034 miles. How far can the car travel on 1 gallon of gasoline? please answer :(
Olegator [25]
If it takes 125 gallons to go 5034 miles, then to find how far 1 gallon goes, we divide 5034/125=40.272 miles. Therefore your answer is 40.272miles a gallon
4 0
2 years ago
Read 2 more answers
A friend of mine is giving a dinner party. His current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabe
Vlada [557]

Answer:

a) 720, b) 475020, c) 69300, d) 0.146, e) 0.001

Step-by-step explanation:

It is given that my friend has 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet.

a)

If he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways is

10\times 9\times 8=720

Therefore if he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways are 720.

b)

The total number of bottles is

10+8+11=29

Combination is defined as

^nC_r=\frac{n!}{r!(n-r)!}

where, n is total possible outcomes and r is selected outcomes.

we have to select 6 bottles out of 29. so,

^{29}C_{6}=475020

Therefore ff 6 bottles of wine are to be randomly selected from the 29 for serving, then the total number of ways are 475020.

c)

If we want to select 2 bottles of each variety, then total number of ways are

^{10}C_{2}\times ^{8}C_{2}\times ^{11}C_{2}=69300

Therefore if 6 bottles are randomly selected with two bottles of each variety, then the total possible ways are 69300.

d)

Probability is defined as

P=\frac{\text{Total outcomes}}{\text{Favorable outcomes}}

\frac{^{10}C_{2}\times ^{8}C_{2}\times ^{11}C_{2}}{^{29}C_{6}}=\frac{69300}{475020}\approx 0.146

Therefore the probability that two bottles of each variety being chosen is 0.146.

e)

If 6 bottles are randomly selected, then the probability that all of them are the same variety is

\frac{^{10}C_{6}+^{8}C_{6}+^{11}C_{6}}{^{29}C_{6}}=\frac{700}{475020}\approx 0.001

Therefore if 6 bottles are randomly selected, then the probability that all of them are the same variety is 0.001.

7 0
2 years ago
jonathan ran 5 days this week. the most he ran in one day was 3.5 miles. write an inequality that shows the distance jonathan co
poizon [28]
Let m represent the number of miles this guy runs in a day.
He runs every day, so the minimum number of miles has to be greater than 0.
According to the problem statement, the max number of miles is 3.5 miles or less.

Translate this into a (symbolic) inequality.
4 0
2 years ago
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