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aivan3 [116]3 years ago

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tim and his brother are building towers out of blocks. Tim is using blue blocks that are 6 cm tall and his brother is using gree

Karolina [17]

The shortest possible height of tower is 24 cm.

Tim used 4 blue blocks and his brother used 3 green blocks.

Step-by-step explanation:

Given,

Height of blue block = 6 cm

Height of green block = 8 cm

We will take least common multiple to find the shortest possible height.

6 = 2*3

8 = 2*2*2

LCM = 2*2*2*3 = 24 cm

The shortest possible height of tower is 24 cm.

Number of blue blocks used = $\frac{24}{6} = 4$

Number of green blocks used = $\frac{24}{8} = 3$

Tim used 4 blue blocks and his brother used 3 green blocks.

Keywords: LCM, multiplication

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3 years ago

What is the equasion of the line that passes through (0,5) and (2,3)

Annette [7]

The equation for a line is mx + b = y where m is the slope and b is the y intercept. To find the slope, we need to use the equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$m = \frac{5 - 3}{0 - 2}$

$m = \frac{2}{-2}$

$m = -1$

Therefore, m is equal to -1. Normally, we would then have to plug in m and one of the points to find b. However, because the point (0,5) is the y-intercept (the y-intercept is the point on the line where x is equal to 0), we can skip this step and go straight to forming the final equation, which is $y=-1x+5$ .