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Gelneren [198K]
3 years ago
13

Divide please 5⁄7 ÷ 2⁄7

Mathematics
2 answers:
JulijaS [17]3 years ago
8 0

35/14

or

5/2

keep switch flip

RSB [31]3 years ago
7 0

Answer:

Step-by-step explanation:

57÷27=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

57×72=?

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

5×77×2=3514

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 35 and 14 using

GCF(35,14) = 7

35÷714÷7=52

The fraction

52

is the same as

5÷2

Convert to a mixed number using

long division for 5 ÷ 2 = 2R1, so

52=212

Therefore:

57÷27=21/2

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Step-by-step explanation:

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Can someone explain how to solve this step by step? Thank you
zysi [14]

Answer:

x=10

Step-by-step explanation:

Using the Rational Roots Test, we can say that the potential rational roots are

± (1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90).

Unfortunately, there doesn't really seem to be an easy way to figure out which numbers are actually roots outside of guess and check. Therefore, to solve this, we'll have to go through numbers until we hit something.

To make the process faster, I wrote a Python script as follows:

numbers = [1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90]

negative_numbers = [i * (-1) for i in numbers]

numbers = numbers + negative_numbers

for i in numbers:

   

   if (i**3 - 10*(i**2) + 9*i-90) == 0:

       print(i)

The result comes out as 10, meaning that 10 is our only rational root. Using the Factor Theorem, we can say that because 10 is a root, (x-10) is a factor of the polynomial. Using synthetic division, we can divide (x-10) from the polynomial to get

10 |   1     -10     9      -90

    |          10     0       90

    _________________

        1       0     9        0

Therefore, we can say that

(x³-10x²+9x-90)/(x-10) = (x²+0x+9), so

x³-10x²+9x-90 = (x-10)(x²+9)

As the only solution to x²+9=0 contains imaginary numbers, x=10 is the only solution to x³-10x²+9x-90 = (x-10)(x²+9) = 0

7 0
3 years ago
This figure consist of a rectangle a semi circle and a quarter circle what is the perimeter of this figure use 3.14 for pi
alexandr402 [8]

Answer:

37.55 m

Step-by-step explanation:

To find the perimeter, we have to add the lengths of each part of the figure.

We start from the circle on top. We see that its diameter is 10 m, therefore its radius is

r = 5 m

(because the radius is half the diameter). The perimeter of a circle is given by

p=2 \pi r

However, here we have half a circle, so its perimeter is

p_1 = \pi r=(3.14)(5)=15.7 m

Then continuing in a clockwise direction, we have to add the length of the side of 2 m:

p_2 = 2 m

Then we have two sides of a square of side 5 m, so:

p_3 = 5 m + 5 m= 10 m

Then we have a quarter of a circle of radius r = 5 m, so its perimeter is:

p_4 = \frac{\pi r}{2}=\frac{\pi (5)}{2}=7.85 m

Finally, we have one more side of length 2 m:

p_5 = 2m

Therefore, the total perimeter is:

p=p_1+p_2+p_3+p_4+p_5=15.7+2+10+7.85+2=37.55 m

4 0
4 years ago
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