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Rufina [12.5K]
3 years ago
15

6÷8 using long division ​

Mathematics
1 answer:
polet [3.4K]3 years ago
5 0

Given:

The expression is:

6\div 8

To find:

The value of the given expression by using the long division method.

Solution:

We have,

6\div 8

Here, dividend is 6 and divisor is 8.

Since 6<8, therefore we will use the decimal in dividend and quotient as shown below:

\underline{\quad 8\quad}|\overline{\quad 6.00\quad }|\underline{\quad 0.75\quad }

         \underline{\quad 56\quad }

               40                  (After subtraction)

           \underline{\quad 40\quad }

             \underline{\quad 0\quad }               (After subtraction)

Therefore, the value of the given expression is 0.75.

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given two terms in a geometric sequence find the 8th term and the recursive formula . a4=-12 and a5=-6
Crazy boy [7]

A geometric sequence is defined by a starting point, a, and a common ratio r

The first term is a, and you get every next term by multiplying the previous one by r.

So, our terms are

\left[\begin{array}{c|c}a_1&a\\a_2&ar\\a_3&ar^2\\a_4&ar^3=-12\\a_5&ar^4=-6\end{array}\right]

We can see that when we pass from a_4 to a_5 the number gets halved (-12 \mapsto -6)

This implies that the common ratio is r = \frac{1}{2}

So, the table becomes

\left[\begin{array}{c|c}a_1&a\\a_2&\frac{1}{2}a\\a_3&\frac{1}{4}a\\a_4&\frac{1}{8}a=-12\\a_5&\frac{1}{16}a=-6\end{array}\right]

So, we can derive the starting point from either a_4 or a_5:

\dfrac{1}{8}a = -12 \iff a = -12\cdot 8 = -96

The sequence is thus

\left[\begin{array}{c|c}a_1&-96\\a_2&-48\\a_3&-24\\a_4&-12\\a_5&-6\\a_6&-3\\\vdots&\vdots\end{array}\right]

And the recursive formula is

a_n = -\dfrac{96}{2^{n-1}}

7 0
4 years ago
The length of a rectangular room is 5 feet more than its width. The perimeter of the room is
Roman55 [17]

Answer:

\displaystyle 39 = W \\ 44 = L

Step-by-step explanation:

{L = W + 5

{166 = 2L + 2W

166 = 2[W + 5] + 2W

166 = 2W + 10 + 2W

166 = 10 + 4W

- 10 - 10

___________

\displaystyle \frac{156}{4} = \frac{4W}{4}

\displaystyle 39 = W[Plug this back into both equations above to get the length of 44 feet; \displaystyle 44 = L

I am joyous to assist you anytime.

5 0
4 years ago
The product of some negative number and 3 less than twice that number is 209. find the number
zepelin [54]
The negative number would most likely be -19/2

let the negative number be x,
3 less than twice that negative number would be (2x-3)
hence,
equation form
x multiply by (2x-3) equals to 209
it would result in equation
2x^2-3x=209
2x^2-3x-209=0

hence using quadratic eqn
x=11 ( rej since qn stated x is a negative number)
x=-19/2
4 0
4 years ago
Write and solve an algebraic equation to find x triangle<br> (2x) (5x+12) (3X-32)
denis23 [38]

Answer:

30x squared 2 minus 248x squared 2 minus 768x

3 0
3 years ago
4.2.4Practice:Modeling: Slope-Intercept Equation of a Line
Aleksandr-060686 [28]

the answer to many questions like this are on math Step-by-step explanation:

4 0
3 years ago
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