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3 years ago

X + a = b what is the answer

Mathematics

1 answer:

melamori03 [73]3 years ago

4 0

Answer:

x = b - a

a = b - x

b = x + a

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There are 8 rows and 8 columns, or 64 squares

lawyer [7]

Complete Question:

There are 8 rows and 8 columns, or 64 squares on a chessboard.

Suppose you place 1 penny on Row 1 Column A,

2 pennies on Row 1 Column B,

4 pennies on Row 1 Column C, and so on …

Determine the number of pennies in Row 1

Determine the number of pennies on the entire chessboard?

Answer:

255 in the first row

18,446,744,073,709,551,615 in the entire board

Step-by-step explanation:

Given

$Rows = 8$

$Columns = 8$

Solving (a): Number of pennies in first row

The question is an illustration of geometric sequence which follows

$1,2,4....$

Where

$a =1$ --- The first term

Calculate the common ratio, r

$r = \frac{T_2}{T_1} = \frac{4}{2} = 2$

The number of pennies in the first row will be calculated using sum of n terms of a GP.

$S_n = \frac{a(r^n - 1)}{n - 1}$

Since, the first row has 8 columns, then

$n = 8$

Substitute 8 for n, 2 for r and 1 for a in $S_n = \frac{a(r^n - 1)}{r - 1}$

$S_8 = \frac{1 * (2^8 - 1)}{2 - 1}$

$S_8 = \frac{1 * (256 - 1)}{1}$

$S_8 = \frac{1 * 255}{1}$

$S_8 = 255$

Solving (b): The entire board has 64 cells.

So:

$n = 64$

Substitute 64 for n, 2 for r and 1 for a in $S_n = \frac{a(r^n - 1)}{r - 1}$

$S_{64} = \frac{1 * (2^{64} - 1)}{2 -1}$

$S_{64} = \frac{(2^{64} - 1)}{1}$

$S_{64} = \frac{(18,446,744,073,709,551,616 - 1)}{1}$

$S_{64} = \frac{18,446,744,073,709,551,615}{1}$

$S_{64} = 18,446,744,073,709,551,615$

5 0

3 years ago

Had a has a monthly budget for her cell phone bill. Last month she spent 120 percent of her budget , and the bill was $60. What

irga5000 [103]

Answer:

$50

Step-by-step explanation:

120% = 60

100% = x

120x = 6000

x = 6000/120

x = $50

5 0

3 years ago

How do I solve this equation step by step 3(8-2x)

Amanda [17]

3(8-2x)

Distribute/Multiply 3 into 8 and -2x

3*8 - 3*2x

Final Answer: 24 - 6x

4 0

3 years ago

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Help thanks......!!!!!!!!

Ksju [112]

Answer:

it's 2 divided by 5

8 0

3 years ago

Graph y = −x2 − 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum.

Kitty [74]

Y = - x^2 - 2

the vertex of - x^2 will be at (0,0)
the -2 translates the graph down 2 units

The answer is the vertex is at (0,-2) and as the coefficient of x^2 is negative it is a maximum

Answer is D.

8 0

3 years ago

Read 2 more answers