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2 years ago

How many groups of of 5/6 are in 1

Mathematics

1 answer:

zysi [14]2 years ago

4 0

Answer:

6/5

Step-by-step explanation:

to find the number of 5/6 's in 1 , divide 1 by by 5/6 . when dividing by a fraction , rewrite it as multiplying by the reciprocal

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factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world

rusak2 [61]

Answer:

$\huge\boxed{3a^2(a^3-6a+2)}$

Step-by-step explanation:

$\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}$

Hope this helped!

5 0

2 years ago

The greater than symbols looks like this ____________, and the less than symbol looks like?

mr Goodwill [35]

Answer:

The greater than symbols looks like this > , and the less than symbol looks like? <

7 0

3 years ago

Read 2 more answers

Which mathematical symbol would best fill in the blank to compare the two real numbers 2__1.8

katrin [286]

Hello.

The mathematical symbol that would best fill the blank to compare both numbers is '>', which indicates a number is greater than the other.

Hope I helped.

6 0

3 years ago

Read 2 more answers

1. An AP has a common difference of 3. Given that the nth term is 32, and the sum of the first n terms is 185, calculate the

netineya [11]

Answer:

The value of n is 10

Step-by-step explanation:

The formula of the nth term of the arithmetic progression is a $_{n}$ = a + (n - 1)d

a is the first term

d is the common difference between each 2 consecutive terms

n is the position of the term

The formula of the sum of nth terms is S $_{n}$ = $\frac{n}{2}$ [2a + (n - 1)d]

∵ An AP has a common difference of 3

∴ d = 3

∵ The nth term is 32

∴ a $_{n}$ = 32

→ Substitute them in the 1st rule above

∵ 32 = a + (n - 1)3

∴ 32 = a + 3(n) - 3(1)

∴ 32 = a + 3n - 3

→ Add 3 to both sides

∴ 35 = a + 3n

→ Switch the two sides

∴ a + 3n = 35

→ Subtract 3n from both sides

∴ a = 35 - 3n ⇒ (1)

∵ The sum of the first n terms is 185

∴ S $_{n}$ = 185

→ Substitute the value of S $_{n}$ and d in the 2nd rule above

∵ 185 = $\frac{n}{2}$ [ 2a + (n - 1)3]

∴ 185 = $\frac{n}{2}$ [2a + 3(n) - 3(1)]

∴ 185 = $\frac{n}{2}$ [2a + 3n - 3]

→ Multiply both sides by 2

∴ 370 = n(2a + 3n - 3)

∴ 370 = 2an + 3n² - 3n

→ Substitute a by equation (1)

∴ 370 = 2n(35 - 3n) + 3n² - 3n

∴ 370 = 70n - 6n²+ 3n² - 3n

→ Add the like terms in the right side

∵ 370 = -3n² + 67n

→ Add 3n² to both sides

∴ 3n² + 370 = 67n

→ Subtract 67 from both sides

∴ 3n² - 67n + 370 = 0

→ Use your calculator to find n

∴ n = 10 and n = 37/3

∵ n must be a positive integer ⇒ 37/3 neglecting

∴ n = 10

∴ The value of n is 10

4 0

2 years ago

Are the fractions 1/5 , 5/5 , and 5/1 equivalent?Explain.

NeX [460]

Answer:
They are not equal

Explanation:
Let's take a look at each one of them separately:
 $\frac{1}{5}$ : This fraction is in the simplest form. It is equivalent to 0.2
The fraction is formed by dividing one part over five

 $\frac{5}{5}$ : This fraction is not in the simplest form. We can divide 5 by 5 and the answer would be 1. Therefore, $\frac{5}{5}$ is equivalent to 1

 $\frac{5}{1}$ : This fraction is not in the simplest form. We can divide 5 by 1 and the answer would be 5. Therefore, $\frac{5}{1}$ is equivalent to 5.

Based on the above, we can cnfirm that 0.2 , 1 and 5 are not equivalent.
Therefore, the given fractions are not equivalent

Hope this helps :)

5 0

2 years ago