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3 years ago

6 9/10 x 20/21 Simplify your answer completely and change to a mixed number.

Mathematics

1 answer:

Sidana [21]3 years ago

5 0

Answer:

$6\frac{4}{7}$

Step-by-step explanation:

Hello,

I am going to start with to change to a improper fraction:

1. I will convert 6 and 9/10 into a improper fraction:

$69/10$

2. Now that I have converted the mixed fraction into a improper I can multiply the numerator and the denominator.

$69 * 20 / 21 * 10 = 1380/210$

3. Now I can simplify this value and convert it into a mixed fraction

$46/7$

After further simplifying I can convert this into an mixed number

$6\frac{4}{7}$

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A coat at a store is originally priced at $54.99. The store marks the price down to $32.99. To the nearest percent, what is the

Dmitry_Shevchenko [17]

Answer:

66.6%

Step-by-step explanation:

Step one

given

A coat at a store is originally priced at $54.99

The store marks down the price down to $32.99

Required

the percent decrease

Step two:

the percent decrease= change in price/ old price*100

the percent decrease= 54.99-32.99/54.99*100

the percent decrease= 22/ 32.99*100

the percent decrease= 0.666*100

the percent decrease= 66.6%

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3 years ago

A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio

Anna007 [38]

4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

Required ratio = 4/3 answer

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2 years ago

A) 5xy ×? = 15x²y² can someone explain

Aleksandr [31]

Answer:

$5xy*3xy=15x^2y^2$

Step-by-step explanation:

Multiply 5*3 to get 15, and each x and y is squared, so 5xy needs another set of x and y to have two xs and ys in the final expression, so you multiply $5xy$ by $3xy$ to get your answer.

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3 years ago

If arc VY = 132° and ∠YUV = 41°, what is the measure of arc XV?

Tom [10]

Answer:

Step-by-step explanation:

Use this equation

$\frac{b - a}{2} = angle \: yuv$

where b is arc VY, A is arc XV.

Substitute the equation in

$\frac{132 - a}{2} = 41$

$132 - a = 82$

$- a = - 50$

$a = 50$

so our arc measure is 50

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3 years ago

Which pairs of triangles appear to be congruent to any others shown here?

pshichka [43]

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3 years ago