Factor the following:

Write greatest unit fractions that are repeating decimals. Then express each fraction as a decimal.

LekaFEV [45]

Our repeating decimal would be= 0.5555….
Let’s give 0.5555….. repeating decimal a variable of x:
x= 0.5555…. or 0.5(move 1 point to the right)
So ,10x = 5.5555 or 5.5

Now, Let’s do subtraction:
10x = 5.5555… or 5.5
- x = 0.5555… or 0.5
9x = 5.0 or 5.0

To get a fraction, provide a denominator the same with the numerator of variable x which is 9. Then divide the difference:
9x = 5.0
9 9 Therefore, x = 5
 9

7 0

2 years ago

Factor completely: 64 - y^3

madam [21]

From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is $4^{3}$ , and $y^{3}$ .

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are $a^{3}$ and $b^{3}$ . The difference of those two cubes is:
$a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})$

In our problem, a = 4 (since $a^{3}$ = 64) and b = y (since $b^{3} = y^{3}$ . Plug these values into the rule to find the factor of $64 - y^3$ :
$64 - y^3 \\
= (4 - y)( 4^{2} + 4y + y^{2}) \\
= (4 - y)( 16 + 4y + y^{2})$

-----

Answer: $(4 - y)( 16 + 4y + y^{2})$

8 0

2 years ago

Katt and sanjeev are collecting money for charity. For every £2 that kat collects, sanjeev collects £3. They collect £255 in tot

il63 [147K]

Answer: Kate = £102

Sanjeev = £153

Step-by-step explanation:

From the question, we are informed that for every £2 that kat collects, sanjeev collects £3. This csn be represented in a fraction as:

Kat = 2/5

Sanjeev = 3/5

The amount that each collects will be:

Kat = 2/5 × £255

= 2 × £51

= £102

Sanjeev = 3/5 × £255

= 3 × £51

= £153

6 0

3 years ago

During 2002, the average person ate 200.8 pounds of meat. How much meat does a family of 3 people eat in year?

dem82 [27]

Hi there! An average person ate 200.8 pounds of meat, so we would multiply that number by 3 to see how much meat the family ate altogether. 200.8 * 3 is 602.4. There. A family of 3 would eat 602.4 pounds of meat in a year.

4 0

3 years ago

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Please Answer this Correctly For Brainiest!

Reika [66]

Answer:

78%

Step-by-step explanation:

There are 18 games in total. 14 of them have 77 - 92 points scored in them. Divide 14 by 18 to get approximately .7778, then multiply by 100 to get approximately 77.7778, which can then be rounded to 78%.

6 0

3 years ago

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