A 12 ounce bottle of shampoo last enrique 16 weeks.how lonh would you expect an 18 ounce bottle of the same brand to last him?

1 answer:

4 0

For Enrique a 12 ounce bottle lasts for 16 weeks. This is a known fact. We need to find the amount of days or weeks an 18 ounce bottle of the same brand of shampoo last.
Now
12 ounce bottle lasts = 16 weeks
   = (16 * 7) days
   = 112 days
18 ounce bottle lasts = (112/12) * 18
      = 168 days
   = 168/7 weeks
   = 24 weeks
So 18 ounce of the same brand of shampoo will last for 24 weeks.

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Put the equation y = x^2 + 26 x + 160 into the form y = ( x − h )^2 + k :

KATRIN_1 [288]

Put the equation $y = x^2 + 26 x + 160$ into the form y = ( x − h )^2 + k

Given equation is $y = x^2 + 26 x + 160$

We apply completing the square method

we take coefficient of middle term and then divide by 2 and then square it

coefficient of middle term is 26

Divide by 2, it becomes 13

then we square it (13)^2 = 169

Add and subtract 169

$y = x^2 + 26 x +169 - 169 + 160$

$y = x^2 + 26 x +169 - 9$

$y = (x + 13)^2 - 9$

We got the equation in vertex form

6 0

2 years ago

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Please help, I can't figure out how to set this up. There's supposed to be 2 equations.

Valentin [98]

Hello from MrBillDoesMath

Answer: + 4/7, 6 (13/14)

Discussion:

Let L be the larger of the two numbers and S the smaller of the two. Then the first sentence translates into this:

-6L - L = -4 =>

-7L = -4 => (divide both sides by -7)

L = - (-4)/(-7) = + 4/7 (*)

The second sentence translates to

2 (L + S) = 15 => (divide both sides by 2)

(L +S) = 15/2 => (subtract L from each side)

S = 15/2 - L = 15/2 - 4/7 (using (*) above)

S = 15*7/(2*7) - (4*2)/(7*2) (combine over common denominator of 14)

S = 105/14 - 8/14 = 97/14 = 6 13/14

Something is crazy here! While 2(L +S) = 15 -- check it out -- our larger number L ( =4/7) is actually smaller than the S number (6 13/14)! Maybe I should have called them Y and X, respectively, as you suggested!

Thank you,

Mr. B

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3 years ago

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Aneli [31]

Answer:

$\huge\boxed{x=-18}$

Step-by-step explanation:

In order to solve this, we are trying to find the value of $x$ . Basically, $x$ is a placeholder for a number that is unknown. Some number minus 3 is equal to 21.