What is 1/6 x 4/5 simplified to

Answers

Answer 1
Answer:

Answer:2/15

Step-by-step explanation:

Answer 2
Answer: First we multiply 1/6* 4/5 by multiply the nominator and the denominator to get one fraction.

So 1*4/5*6= 4/30

Next, we simplify this fraction by dividing by 2 to both 4 and 30

So, after dividing we get: 2/15.

So the answer is 2/15.

I hope this helps!

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Can you name the values of the given digits in the 3s in 330, how many times greater the first digit is than the second digit

Answers

1st 3 is in the hundreds place
2nd 3 is in the tenths place
the first 3 is 33 times greater 

Final answer:

In the number 330, the first 3 is 10 times greater than the second 3. This is because the first 3 is in the hundreds place, making it 300 and the second 3 is in the tens place, making it 30.

Explanation:

In the number 330, the two 3's have different values. The first 3, situated in the hundreds place, has a value of 300. The second 3, situated at the tens place, has a value of 30.

To find out how many times greater the first digit is than the second digit, you divide the value of the first digit by the value of the second digit.

300 ÷ 30 = 10

So, the first digit is 10 times greater than the second digit.

Learn more about place value here:

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How many centimeters is it from the pitchers mound to home plate

Answers

I don't know.

But if you can find the number of FEET from the mound to
home plate, then you can multiply it by these 2 fractions and
convert that into centimeters.

         (12 inches / 1 foot)
and
         (2.54 centimeters / inch) . 
        
Usually, you can't just go multiplying numbers by other things without
changing the value of the number. 

But if you look at these two fractions, you'll see that each of them is
actually equal to ' 1 ' ... the numerator is equal to the denominator. 

So when you multiply a number by these fractions, you're just multiplying
it by ' 1 ' twice.  Its value doesn't change, but its units do !  And that's exactly
what you need.

4. In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide?

Answers

14.6 feet long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To find the length of the cloth needed to make the tent, we can use the Pythagorean theorem.

The triangle formed by the tent is isosceles, the hypotenuse is equal to one of the equal sides, and we can use the Pythagorean theorem to solve for "x".

The length of the hypotenuse is:

√(1/2× 8)² + 6² )

√16 + 36 )

√52= 2√13

Since the tent is isosceles, the length of each of the two equal sides of the triangle is also "x", so we have:

2x = 2√13

Solving for "x", we get:

x = √13

Therefore, the length of the cloth needed to make the tent is:

2x + 8

= 2√13 + 8

= 14.61 feet

So the cloth would have to be 14.61 feet long.

Hence, 14.6 feet long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide.

To learn more on trigonometry click:

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the cloth would have had to been 14.42 feet 

There are ten cards, each has a different number on it, from 1 to 10. Sam took one card, and it was 5 on it. If he takes one of the remaining cards without looking, what is the probability that the sum of the numbers on his two cards will be smaller than 8?

Answers

there are 9 cards left

1,2,3,4,6,7,8,9,10

the only cards that will make the sum less than 8 is 1 and 2

2/9

Answer: 2/9

Answer:

2/9

Step-by-step explanation:

The original group of cards consisted of: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

He took a 5.

The current group of cards consists of: 1, 2, 3, 4, 6, 7, 8, 9, 10

Which cards can he take and have a sum less than 8?

5 + 1 = 6   good

5 + 2 = 7    good

5 + 3 = 8    not good

Only the cards with 1 or 2 are good.

There are 9 cards remaining, and he gets the desired outcome from only 2 of those cards.

p(sum less than 8) = 2/9

Write 59 sixths as an improper fraction

Answers

59/6 is an improper fraction if you ment 6/59 than all you have to do is this:1.find the common denominator(how many times 6 goes into 592.next use the answer so if the answer was that 5 sixes went into 59 than the answer would be 5/6 (by the way 5/6 isn't the real answerIf my answer was helpful please follow me or click thank you
Well, you first multiply 59 by 6, so then it's 354. Now add 354/6 to 1/6, so the it is equal to 355/6. 

If a full dose of medicine is 560mg,how much is 80% of a dose

Answers

560 X 0.8 = 448. 488 is 80% of a dose