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4 years ago

Perform the indicated operation. (w^3 +64)/(4+ w)

Mathematics

1 answer:

timurjin [86]4 years ago

6 0

Answer:

(w^2 - 4w + 16)

Step-by-step explanation:

Note that w^3 +64 is the sum of two perfect cubes, which are (w)^3 and (4)^3. The corresponding factors are (w + 4)(w^2 - 4w + 16).

Therefore,

(w^3 +64)/(4+ w) reduces as follows:

(w^3 +64)/(4+ w) (4 + w)(w^2 - 4w + 16)

--------------------------- = --------------------------------- = (w^2 - 4w + 16)

4 + w 4 + w

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Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to

aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

$\frac{7}{10} x-3$

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

$\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\$

$\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40$

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

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Ratio : brainly.com/question/11095585

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3 years ago

Answer this for branlist if get right

dusya [7]

Answer:

The median and IQR

Step-by-step explanation:

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3 years ago

Employees at The Shoe Shack get a 25% discount when they buy a pair of shoes at the store.

Amiraneli [1.4K]

Answer: Theo bought a pair of shoe for 36$

Step-by-step explanation:

25% = 0.25

48.00 * 0.25 = 12.00

48.00 - 12.00 = 36.00

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3 years ago

Please help me, i don’t understand this question nor how to do it !!!!

Fantom [35]

Step-by-step explanation:

See attached picture.

First, compare the highest term of the dividend (x²) to the highest term of the divisor (x). We need to multiply the divisor by x.

When we do that, we get x² + 5x. Subtracting this from the dividend, we get -9x + 11.

Now repeat the process. Compare the highest term of the new dividend (-9x) to the highest term of the divisor (x). We need to multiply by -9.

When we do that, we get -9x − 45. When we subtract from the new dividend, we get 56.

So the quotient is x − 9, and the remainder is 56.

6 0

3 years ago

1/2 of a bag of candy is skittles, 1/4 is m and m's, and 3/4 of the rest of it are life savers. The rest are sour patch kids. Wh

m_a_m_a [10]

Answer:

6.25%

Step-by-step explanation:

Total = 1 ; as a decimal

1/2 = skittles

1/4 = M&Ms

Skittles +M&Ms = 1/2 + 1/4 = 3/4

Remainder = 1 - $\frac{3}{4}$

Remainder = $\frac{1}{4}$

Sour patch = $\frac{1}{4} *\frac{1}{4} =\frac{1}{16}$

As a percentage , multiply 1/16 by 100 and it becomes 6.25%

5 0

3 years ago