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3 years ago

13

If the 32 ounce bottle is 20% more than the typical bottle, how many ounces are in the typical bottle? Round your answer to the

nearest hundredth.

2 answers:

Elenna [48]3 years ago

4 0

6.4 %. hope that helped

Vanyuwa [196]3 years ago

3 0

If 32 = 120% first divide by 6
5.333333=20% and then multiply by 5
26.6666667=100% of the bottle

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Kennedy and Olivia go to the movie theater and purchase refreshments for their friends.

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Answer:

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Step-by-step explanation:

Let the price of popcorn be x

Let the price of drink be y.

price of 12 bags of popcorn will be 12x

price of 2 drinks will be 2y

it is given that "Kennedy spends a total of $77.50 on 12 bags of popcorn and 2 drinks."

thus

12x + 2y = 77.50

dividing LHS and RHS by 2 we have

12x/2 + 2y/2 = 77.50/2

=> 6x + y = 38.75 _________(1)

__________________________________________________

price of 3 bags of popcorn will be 3x

price of 6 drinks will be 6y

it is given that "Olivia spends a total of $51.00 on 3 bags of popcorn and 6 drinks."

thus

3x + 6y = 51.00

dividing LHS and RHS by 3 we have

3x/3 + 6y/3 = 51/3

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__________________________________________________

Thus we have two equation

6x + y = 38.75 _________(1)

x + 2y = 17

=> x = 17 - 2y

putting this value of x in equation 1 we have

6( 17 - 2y) + y = 38.75

=> 102 - 12y + y = 38.75

=> 102 - 11y = 38.75

=> -11y = 38.75 -102

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as we have x = 17 - 2y

using 5.75 in place of y

x = 17 - 2(5.75 )

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Thus, system of equations are

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

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White raven [17]

Answer:

Step-by-step explanation:

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the standard form of an exponential function is

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$2=a(b)^1$ so

$a=\frac{2}{b}$ . The next coordinate is (2, 4), so:

$4=\frac{2}{b}(b)^2$ which simplifies down to

4 = 2b so

b = 2. Now we plug in 2 for b and solve for a:

a = 2/2 which is 1. So the equation, if this is exponential, is

$y=1(2)^x$ Let's test the next point in line and see if it works, (3, 8):

$8?=?1(2)^3$ and yes, 8 is equal to 2 cubed. And the next point says that 16 should equal 2 to the 4th, and it does, as well. So this is exponential...growth to be specific.

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3 years ago