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2 years ago

Solve this equation 1 . B/-7 = 4

Mathematics

2 answers:

weqwewe [10]2 years ago

8 0

Step-by-step explanation:

B/-7 = 4

Cross multiple

-7×4 = B

-28 = B

borishaifa [10]2 years ago

4 0

Answer:

-28

Step-by-step explanation:

First, multiply 4*-7= -28.

You're done. B=-28

Hope this helps!

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VashaNatasha [74]

The total number of coins required to fill all the $64$ boxes are $\boxed{\bf 18446744073709551615}$ .

Further explanation:

In a chessboard there are $64$ boxes.

The objective is to determine the total number of coins required to fill the $64$ boxes in chessboard.

In the question it is given that in the first box there is $1$ coin, in the second box there are $2$ coins, in the third box there are $8$ coins and it continues so on.

A sequence is formed for the number of coins in different boxes.

The sequence formed for the number of coins in different boxes is as follows:

$\boxed{1,2,4,8,...}$

The above sequence can also be represented as shown below,

$\boxed{2^{0},2^{1},2^{2},2^{3},...}$

It is observed that the above sequence is a geometric sequence.

A geometric sequence is a sequence in which the common ratio between each successive term and the previous term are equal.

The common ratio $(r)$ for the sequence is calculated as follows:

$\begin{aligned}r&=\dfrac{2^{1}}{2^{0}}\\&=2\end{aligned}$

The $n^{th}$ term of a geometric sequence is expressed as follows:

$\boxed{a_{n}=ar^{n-1}}$

In the above equation $a$ is the first term of the sequence and $r$ is the common ratio.

The value of $a$ and $r$ is as follows:

$\boxed{\begin{aligned}a&=1\\r&=2\end{aligned}}$

Since, the total number of boxes are $64$ so, the total number of terms in the sequence is $64$ .

To obtain the number of coins which are required to fill the $64$ boxes we need to find the sum of sequence formed as above.

The sum of $n$ terms of a geometric sequence is calculated as follows:

$\boxed{S_{n}=a\left(\dfrac{r^{n}-1}{r-1}\right)}$

To obtain the sum of the sequence substitute $64$ for $n$ , $1$ for $a$ and $2$ for $r$ in the above equation.

$\begin{aligned}S_{n}&=1\left(\dfrac{2^{64}-1}{2-1}\right)\\&=\dfrac{18446744073709551616-1}{1}\\&=18446744073709551615\end{aligned}$

Therefore, the total number of coins required to fill all the $64$ boxes are $\boxed{\bf 18446744073709551615}$ .

Learn more:

1. A problem on greatest integer function brainly.com/question/8243712

2. A problem to find radius and center of circle brainly.com/question/9510228

3. A problem to determine intercepts of a line brainly.com/question/1332667

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Sequence

Keywords: Series, sequence, logic, groups, next term, successive term, mathematics, critical thinking, numbers, addition, subtraction, pattern, rule., geometric sequence, common ratio, nth term.

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Ierofanga [76]

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3 years ago

The product of n and 8

Jlenok [28]

Answer:

Step-by-step explanation:

The product of n and 8 means you will multiply n and 8. So, n x 8 is 8n.

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3 years ago

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andrezito [222]

im neidd so 4567Answer:

Step-by-step explanation:

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3 years ago

8. You and your friend start driving toward each other. You are 200 miles further away, moving closer at 53 miles per hour. Your

horrorfan [7]

Answer:

33 1/3 or 100/3

Step-by-step explanation:

Note that as you drive 6 miles per hour faster than your friend, you catch up 6 miles every hour. Let t be the number of hours elapsed(defining the variable). So, we want to solve the equation for t: 6t=200(write the equation). This equation might remind you of the d=rt equation. 200(miles) is the distance, 6(mph) is the rate and t(hours) is the time.

Dividing both sides of the equation by 6 gives t=200/6, so t=100/3 or 33 1/3 hours(Solve)

The check is left as an exercise.

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3 years ago