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3 years ago

1/6 x 2/3 please help

Mathematics

2 answers:

Alex777 [14]3 years ago

6 0

Answer:

2/18 or 1/9

Step-by-step explanation:

just directly multiply it 2×1=2

6×3=18 so 2/18 simplify 1/9

Tasya [4]3 years ago

3 0

Answer:

Hey There! :) My name is Jay and I'm here to help you!

The Question is 1/6 x 2/3 So We're going to be multiplying fractions.

The Correct Answer is $\frac{1}{9}$

Step-by-step explanation:

$\frac{1}{6} ~x~\frac{2}{3} = ?$

For fraction multiplication, multiply the numerators and then multiply the denominators to get

$\frac{1~x~2}{6~x~3} =\frac{2}{18}$

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 2 and 18 using

<u>GCF(2,18) = 2</u>

We Get $\frac{2}{18}$ ÷ $\frac{2}{2}$ = $\frac{1}{9}$

Therefore, $\frac{1}{6} ~x~\frac{2}{3} =\frac{1}{9}$

Hope this Helps!

Happy Veterans Day!

Take Care!

$-Jay-$

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What is the area of this composite shape?

Varvara68 [4.7K]

<h3>Answer: 51 square inches</h3>

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Explanation:

There are a few ways to do this. One way is to divide the figure as shown in the diagram below. I divided it into a rectangle and a triangle. Find the area of the rectangle and triangle, then add up those areas to get the final answer.

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A = 7*6

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3 years ago

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Anon25 [30]

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Step-by-step explanation:

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4 0

2 years ago

Read 2 more answers

Help help help quick

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4-5 and 3-6 are alternate interior angles

8 0

2 years ago

Read 2 more answers

SOMEONE HELP PLEASE! ASAP!

Luba_88 [7]

When two lines intersect, the angles across from the intersection (the "X") are congruent (equal), and referred to as "vertical angles."
So by the rule of vertical angles are congruent, we can set them equal:
${x}^{2} - 6x = 1\div2 \: x + 42 \\ {x}^{2} - 6x - 1 \div 2 \: x = 42 \\ {x}^{2} - 6.5x = 42$
${x}^{2} - 6.5x - 42 = 0 \\ multiply \: both\: sides \: by \: 2 \: to \: get \\ rid \: of \: the \: decimal \\ 2({x}^{2} - 6.5x - 42) = 2(0)$
$2 {x}^{2} - 13x - 84 = 0$
to factor we need the factors of 84:
1×84, 2×42, 3×28, 4×21, 6×14
Now we need one of those factors ×2 ( from the x^2 term) minus the other factor to equal 13 (the middle term)
it turns out that if we use 4×21: 4×2 = 8
and 21-8 = 13. Woohoo! we got it
So now we have:
$2 {x}^{2} - 13x - 84 = 0 \\ (2x - 21)(x + 4) = 0$
Now set each factor = 0
1) 2x - 21 = 0 and 2) x + 4 = 0
1) 2x - 21 = 0, 2x = 21, x = 21/2 = 10.5
2) x + 4 = 0, x = -4

Now we plug in each answer to check:
1) x = 10.5
${x}^{2} - 6x = {(10.5)}^{2} - 6(10.5) \\ = 110.25 - 63 = 47.25$
1/2x + 42 = 1/2(10.5) + 42 = 5.25 + 42 = 47.25
47.25 = 47.25
BAM SO IT LOOKS LIKE THAT'S IT!!
But let's check 2) first:
2) x = -4
${( - 4)}^{2} - 6( - 4) = 16 + 24 = 40$
1/2x + 42 = 1/2(-4) + 42 = -2 + 42 = 40
40 = 40, so both work!!
But it asks for m<1, and <1 is supplementary because it lies on same line, meaning the sum of both = 189
Therefore m<1 = 180 - 47.25 = 132.75°
OR m<1 = 180 - 40 = 140°

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kenny6666 [7]

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3 years ago