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3 years ago

Solve and simplify: 2/3 x 3/5 x 5/10 x 6/8 =

1 answer:

4 0

When we multiply fraction we multiply numerators by numerators and denominators by denominators.
Lets solve it.
$\frac{2}{3}* \frac{3}{5}* \frac{5}{10}* \frac{6}{8}= \frac{2*3*5*6}{3*5*10*8}= \frac{180}{1200}= \frac{180:60}{1200:60} \frac{3}{20}=0.15$ - its the result

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Expand or factor each of the following expressions to determine which expressions are equivalent.

IceJOKER [234]

Answer:

1. 9x^2-24xy16y^2

3.9y^2-246y+1681

4. 18x^2+54x-44

Step-by-step explanation:

1. (3x)^2-2*3x*4y+(4y)^2

9x^2-2*3x4y+(4y)^2

9x^2-24xy+(4y)^2

9x^2-24xy+16y^2

Ans: 9x^2-24xy+16y^2 the (*) are times

2. 912+31-20=923

ANS: 13*71

3. 1681-246y+9y^2

9y^2-246y+1681

ANS : 9y^2-246y+1681

4. 3x*(9*2+6x+4)-2(9*2+6x+4)

54x+18^2+12x-2(9*2+6x+4)

54x+18x^2+12x-36-12x-8

54x+18^2+12x-36-12x-8

54x+18x^2-36-8

18x^2+54x-36-8

18x^2+54x-44

Ans: 18x^2+54x-44

5. 3x*3x-3x*4+5*3x-5*4

9x^2-3x*4+5*3x-5*4

9x^2-12x+5*3x-5*4

9x^2-12x+15x-5*4

9x^2-12x+15x-20

ANS: 9x^2+3x-20

6. (31+2)(912-61+4)=28215

ANS : 3^3*5*11*19

7. 9.12-2414+1672

912/100-2414+1672

2^4*3*19/2^2*5^2 -2414+1672

2^4-2*3*19/5^2 -2414+1672

2^2*3*19/5^2 -742

(2^2*3*19)-5^2)742/5^2

(4*3*19)-25*742/5^2

228-18550/5^2

18322/5^2

8. 2713-8

2705

ANS: 5*541

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3 years ago

8. In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC. Andre has written a proof to show that ABCD is a para

luda_lava [24]

The correct choices to fill the blanks are listed below:

AD
BC
AC
CBA
angle BAC
CD

<h3>How to prove that a quadrilateral is a parallelogram</h3>

In this question we should fill the blanks based all information related to Euclidean geometry, especially concepts related to angles, triangles, parallelism and quadrilaterals.

The complete paragraph is shown below:

Since AD is parallel to BC, alternate interior angles.

AD and BC are congruent.

AC is congruent to AC since segments are congruent to themselves.

Along with the given information that AD is congruent to BC, triangle ADC is congruent to triangle CBA by the Side-Angle-Side Triangle Congruence.

Since the triangles are congruent, all pairs of corresponding angles are congruent, so angle DCA is congruent to angle BAC.

Since those alternate interior angles are congruent. AB must be parallel to CD.

Since we define a parallelogram as a quadrilateral with both pairs of opposite sides parallel, ABCD is a parallelogram.

To learn more on quadrilaterals, we kindly invite to check this verified question: brainly.com/question/25240753

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2 years ago

A recipe calls for 3 1/2 cups of sugar. If you want to make only 1/3 of the recipe, how much sugar should you use?

Sav [38]

Answer: 1 1/6 cups of sugar

Step-by-step explanation:

First let’s convert 3 1/2 into an improper fraction: 7/2

Then we multiply 7/2 by 1/3: 7/2*1/3=7/6

Then finally we convert 7/6 into a mixed number, so your answer will be 1 1/6

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3 years ago

A radius of a circle is perpendicular to a chord if and only if it ________

tiny-mole [99]

A radius of a circle is perpendicular to a chord if and only if it bisect the chord.

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3 years ago

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A display case of video games is marked 1 for $12. If Erin has $216, how many video games can Erin get? (Assume no tax or other

Talja [164]

Answer:

Step-by-step explanation:

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3 years ago

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