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4 years ago

A picture measuring 4" high by 6" wide is to be enlarged so that the width is now 9”. How tall will the picture be?

Mathematics

1 answer:

yarga [219]4 years ago

4 0

The original width was 6 inches, the new width is 9 inches.

Divide the new width by the original width to find the scale factor:

9/6 = 1.5

Now multiply the original height by the scale factor to find the new height:

4 x 1.5 = 6 inches.

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Step-by-step explanation:

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4 years ago

in a small school, there are 60 boys and 80 girls. write down the ratio of the number of boys to the number of girls. give your

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3 years ago

What is the sum of the first 51 consecutive odd positive integers?

Angelina_Jolie [31]

We call:

$a_{n}$ as the set of the first 51 consecutive odd positive integers, so:

 $a_{n} = \{1, 3, 5, 7, 9...\}$

Where:
$a_{1} = 1$
$a_{2} = 3$
$a_{3} = 5$
$a_{4} = 7$
$a_{5} = 9$
and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

 $a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}$

Then:

 $a_{n} = a_{1} + (n-1)d$

So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

 $S_{k} = ( \frac{a_{1} + a_{k}}{2} ).k$

Therefore, we need to find:
 $a_{k} = a_{51}$

Given that $a_{1} = 1$ , then:

$a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1$

Thus:
$a_{k} = a_{51} = 2(51)-1 = 101$

Lastly:

$S_{51} = ( \frac{1 + 101}{2} ).51 = 2601$

4 0

3 years ago

In which expression is the number 5 a factor? A. z+5 B. z-5 C.5z D.5/z

LenaWriter [7]

The correct answer is: C.5z

Further explanation:

A factor is a number that is multiplied with a number

Let us look at the options one by one

A. z+5

5 is not a factor as it is being added to z.

B. z-5

5 is not a factor as it is being subtracted from z.

C.5z

5 is a factor as it is being multiplied with the z and can be separated easily

Hence,

The correct answer is: C.5z

Keywords: Factors, Multiple Choice

Learn more about factors at:

#LearnwithBrainly

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3 years ago

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3 years ago

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