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3 years ago

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Mathematics

2 answers:

Charra [1.4K]3 years ago

7 0

The answer for this question is
: 125

Hope this helps

sdas [7]3 years ago

5 0

Answer:

$125

Step-by-step explanation:

Rover eats 3/4 of a can in a day ( so a quarter or 1/4 of a can is left)

Bobo eats 1/2 of a can in a day ( so a half or 1/2 of a can is left)

Together they eat 3/4 + 1/2 = 1/2 + 1/4+ 1/2 = 1 can and 1/4 in a day

( because 3/4 = 1/2+1/4 and 1/2 + 1/2 = 1 )

In 60 days together they eat

60 cans + (1/4 ) *60 = 60 + (60/4) = 60 + 15 = 75 cans in 60 days

3 cans costs $5

75 /3 = 25 packs with 3 cans in them

25 packs * $5 = $125 cost for 60 days supply

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3 years ago

How would the sum of cubes formula be used to factor x3y3 + 343? Explain the process. Do not write the factorization.

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Answer:

Given : Expression - $x^3y^3+343$

To find : How would the sum of cubes formula be used to factor given expression? Explain the process. Do not write the factorization.

Solution :

The formula of sum of cubes is,

$a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)$

First we convert the given expression in $a^3+b^3$

$x^3y^3+343$

Apply exponent rule : $a^mb^m=(ab)^m$

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Rewrite $343=7^3$

Therefore, $x^3y^3+343$ could be written as $=\left(xy\right)^3+7^3$

On comparison with the formula,

a=xy , b=7

$\left(xy\right)^3+7^3=(xy+7)(xy^2-xy(7)+7^2)$

$\left(xy\right)^3+7^3=(xy+7)((xy)^2-7xy+49)$

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