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Sergeu [11.5K]
2 years ago
6

Every 2 seconds, the distance the mouse travels ___by ___feet!

Mathematics
1 answer:
Mrac [35]2 years ago
8 0
(answer)increases, 22


(explanation)the numbers show that they increase going from 22 to 44 to 66. subtract 22 from either number (44 or 66) and youll get 22. add 22 to each number (44 and 66) and youll get the numbers 44 and 66, meaning the mouses travel increases by 22 feet.
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Rewrite 8x - 7 as the product of two factors
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Answer:

factors are any group of number or expressions which, when multiplied, produce another number or expression.

Basic example:  4 can be broken into 2 factors---2 and 2.  2 times 2 = 4

Example using an unknown:

2X + 6 = 2 * (X + 3)

In the given problem, there is no whole-number common factor.  A normal convention would be to factor based on the unknown term----thus 8X is factored into 8 and X.

So:  8X + 7 = 8 ( X + 7/8 )

The following would also be correct:

8X + 7 = 4 ( 2X + 7/4 )

Step-by-step explanation:

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2 years ago
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A concert hall has 12 seats in the first row, 14 seats in the second row, 16 seats in the third row, and so on. If the pattern c
Marrrta [24]

Given:

The number of seats in the first row is <em>a</em>₁ = 12.

The series of the increasing number of seats is 12, 14, 16......

The objective is to find the total number of seats in the first 12 rows.

Explanation:

The difference between the number of seats in each row can be calculated by the difference between the successive terms of the series.

\begin{gathered} d=14-12=2 \\ d=16-14=2 \end{gathered}

The number of rows to be calculated is <em>n</em> = 12.

To find the number of seats:

The number of seats presents in the first 12 rows can be calculated as,

S_n=\frac{n}{2}\lbrack2a_1+(n-1)d\rbrack

On plugging the obtained values in the above equation,

\begin{gathered} S_{12}=\frac{12}{2}\lbrack2(12)+(12-1)2\rbrack \\ =6\lbrack24+11(2)\rbrack \\ =6(46) \\ =276 \end{gathered}

Hence, the total number of seats in the first 12 rows is 276.

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11 months ago
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