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3 years ago

20 points !!! -3/8x-20+2x>6

Mathematics

2 answers:

jek_recluse [69]3 years ago

8 0

Answer:

-3/8x - 20 + 2x > 6

<u> +20 +20</u>

-3/8x + 2x > 26

8 * -3/8x + 8 * 2x > 8 * 26

-3x + 16x > 208

x>16

Step-by-step explanation:

add 20 to both sides
multiply the denominator (8) to every side.
combine like terms
divide to get x

Semenov [28]3 years ago

3 0

Answer:

$x > 16$

Step-by-step explanation:

$- \frac{3}{8} x -20+2x>6$

Add 20 to both sides:

$- \frac{3}{8} x + 2x > 26$

Multiply 8 on both sides:

$- 3x + 16x > 208$

$13x > 208$

Divide by 13 on both sides:

$x > 16$

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3 years ago

What's the largest fraction in eaxh group? a. 5/6 and 29/36 b. 5/12 and 3/8 c.2/5 and 19/45 d.5/7, 13/14, and 19/21

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a) $\frac{5}{6}$ is greatest fraction.

b) $\frac{5}{12}$ is greatest fraction.

c) $\frac{19}{45}$ is greatest fraction.

d) $\frac{13}{14}$ is greatest fraction.

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To compare two fraction we need to make denominator of both the fraction same.

a)Given fraction are $\frac{5}{6}$ and $\frac{29}{36}$

$\frac{5}{6}=\frac{5 \times 6}{6 \times 6}=\frac{30}{36}$

So $\frac{30}{36}$ is equivalent to $\frac{5}{6}$

So $\frac{30}{36}>\frac{5}{6}$

Hence $\frac{30}{36}$ that is $\frac{5}{6}$ is greater than $\frac{29}{36}$

b)Given fraction are $\frac{5}{12}$ and $\frac{3}{8}$

$\frac{5}{12}=\frac{5 \times 2}{12 \times 2}=\frac{10}{24}$

Similarly we get $\frac{3}{8}=\frac{3 \times 3}{8 \times 3}=\frac{9}{24}$

So $\frac{10}{24}>\frac{9}{24}$

$\frac{10}{24}>\frac{9}{24}$

That is $\frac{5}{12}>\frac{3}{8}$

Hence $\frac{5}{12}$ is greater than $\frac{3}{8}$

c) Given fraction are $\frac{2}{5}$ and $\frac{19}{45}$

$\frac{2}{5}=\frac{2 \times 9}{5 \times 9}=\frac{18}{45}$

So $\frac{19}{45}>\frac{18}{45}$

That is $\frac{19}{45}>\frac{2}{5}$

Hence $\frac{19}{45}$ is greater than $\frac{2}{5}$

d)Given fraction are $\frac{5}{7}$ , $\frac{13}{14}$ and $\frac{19}{21}$

$\frac{5}{7}=\frac{5 \times 6}{7 \times 6}=\frac{30}{42}$

$\frac{13}{14}=\frac{13 \times 3}{14 \times 3}=\frac{39}{42}$

Similarly we get

$\frac{19}{21}=\frac{19 \times 2}{21 \times 2}=\frac{38}{42}$

So $\frac{39}{42}>\frac{38}{42}>\frac{30}{42}$

That is $\frac{13}{14}>\frac{19}{21}>\frac{5}{7}$

Hence $\frac{13}{14}$ is greatest fraction.

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3 years ago