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3 years ago

8

A poster is shown below: what are the dimensions if the poster enlarged by a factor of 7/2

1 answer:

Lilit [14]3 years ago

8 0

If the poster is 6 by 18, and it increases by a factor 7/2, then you multiply both the height and length by 7/2:
$6 \times \frac{7}{2} = 21 \\ 18 \times \frac{7}{2} = 63$
Therefore, the new height is 21, and the new length is 63.

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If one-sixth of a number plus one-third returns two-thirds of that number What is the number

Solnce55 [7]

Answer:

$x= \frac{2}{3}$

Step-by-step explanation:

Let the number be x

Given

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Required

Find x

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Collect Like Terms

$\frac{1}{6}x - \frac{2}{3}x = - \frac{1}{3}$

Take LCM

$\frac{1 - 4}{6}x = \frac{-1}{3}$

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Multiply both sides by 6

$6 * \frac{- 3}{6}x = \frac{-1}{3} * 6$

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Divide both sides by -3

$\frac{-3x}{-3}= \frac{-2}{-3}$

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7 0

4 years ago

Which of these describes the system of linear equations below?

Nataly [62]

Given:

The system of equations is

$3x-2y=7$

$6x-4y=14$

To find:

The correct statement for the given system of equations.

Solution:

On comparing the given equations and general form of linear equation, i.e., $ax+by+c=0$ , we get

$a_1=3,b_1=-2,c_1=-7$

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Here,

$\dfrac{a_1}{a_2}=\dfrac{3}{6}=\dfrac{1}{2}$

$\dfrac{b_1}{b_2}=\dfrac{-2}{-4}=\dfrac{1}{2}$

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Since, $\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$ , therefore, the two equations are equivalent and the system has infinitely many solutions.

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Answer:

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