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3 years ago

8

Solve the inequality 12(1/2x-1/3)>8-2x

2 answers:

Setler [38]3 years ago

6 0

Answer:

The answer is

<h2> $x > \frac{3}{2}$ </h2>

Step-by-step explanation:

<h3> $12( \frac{1}{2} x - \frac{1}{3} ) > 8 - 2x$ </h3>

<u>Expand the terms in the bracket</u>

That's

<h3> $6x - 4 > 8 - 2x$ </h3>

Move - 2x to the left side of the inequality to make it positive

<h3> $6x + 2x - 4 > 8 \\ 8x - 4 > 8$ </h3>

<u>Add 4 to both sides</u>

That's

<h3> $8x - 4 + 4 > 8 + 4 \\ 8x > 12$ </h3>

<u>Divide both sides by 8</u>

<h3> $\frac{8x}{8} > \frac{12}{8}$ </h3>

We have the final answer as

<h3> $x > \frac{3}{2}$ </h3>

Hope this helps you

Yuliya22 [10]3 years ago

6 0

Answer:

x > 3/2

Step-by-step explanation:

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Answer:

degree 1

Step-by-step explanation:

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4. k/6 = 8/16 5. 5.4/7 = 27/h 6. 8/11 = 4/y+2

kupik [55]

Answer:

4. $k=3\\$

5. $h=35$

6. $\frac{7}{2}$ or 3.5

Step-by-step explanation:

$\frac{k}{6}=\frac{8}{16}$

Multiply those 2 values whose diagonal has both terms and divide by the term whose diagonal has the variable.

$k=\frac{8*6}{16}\\ k=\frac{48}{16}\\ k=3$

-----------------------------------------------------------------------

$\frac{5.4}{7}=\frac{27}{h}$

$h=\frac{7*27}{5.4} \\h=\frac{189}{5.4}\\ h=35$

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$\frac{8}{11}=\frac{4}{y+2}$

$y+2=\frac{11*4}{8}\\ y=\frac{11*4}{8}-2\\y=\frac{44}{8}-2 \\y=\frac{11}{2}-2\\ y=\frac{11-2*2}{2}\\ y=\frac{11-4}{2}\\ y=\frac{7}{2}=3.5$

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3 years ago

An oblique hexagonal prism has a base area of 42

AlekseyPX

Answer:

168 cm³

Step-by-step explanation:

The base area of the oblique hexagonal prism = 42 cm²

the height of the prism = 4 cm

Volume of the prism = Base area × height = 42 cm² × 4 cm = 168 cm³

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