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3 years ago

Simplify -(10)-1 into a fraction

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

8 0

When you flip ten from opposite, you get negative ten. Negative ten minus one is eleven, so the fraction would be 11/1.

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A board that measures 3/4 feet long is cut into 6 equal pieces. What is the length of each piece?

gayaneshka [121]

I would convert from feet to inches and say an 9 in long board is cut.
Now just divide 9 by 6
9/6=1.5 inches

7 0

3 years ago

Read 2 more answers

Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

$4(9x-18)>3(8x+12)$

First, clear the brackets,

$36x-72>24x+36$

Then, collect like terms

$36x-24x>36+72\\12x >108$

Now divide both sides by 12

$\frac{12x}{12} > \frac{108}{12}$

∴ $x > 9$

For the second inequality

$-\frac{1}{3}(12x+6) \geq -2x +14$

First, clear the fraction by multiplying both sides by 3

$3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)$

$-1(12x+6) \geq -6x +42$

Now, open the bracket

$-12x-6 \geq -6x +42$

Collect like terms

$-6 -42\geq -6x +12x$

$-48\geq 6x$

Divide both sides by 6

$\frac{-48}{6} \geq \frac{6x}{6}$

$-8\geq x$

∴ $x\leq -8$

For the third inequality,

$1.6(x+8)\geq 38.4$

First, clear the brackets

$1.6x + 12.8\geq 38.4$

Collect likes terms

$1.6x \geq 38.4-12.8$

$1.6x \geq 25.6$

Divide both sides by 1.6

$\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}$

∴ $x \geq 16$

Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

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2 years ago

Lewis has 13 cats and 2 dogs. How many animals does he have in all?

Stels [109]

Answer:15

Step-by-step explanation:13 +2 = 15

4 0

3 years ago

A builder is building a fence with 6-inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to

Varvara68 [4.7K]

Answer:

25 wooden boards

Step-by-step explanation:

Given that:

Width of wooden board = 6 inches

Number of boards required to build a fence of 150 inches long if there are no gaps :

The lenght of fence / width of wooden board

= 150 inches / 6 inches

= 25 wooden boards

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3 years ago

Fofino [41]

Answer:

15:7

Step-by-step explanation:

you put the numbers in order first the number of on time trains to off time trains

5 0

1 year ago