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ahrayia [7]
3 years ago
15

12-packs of Skwunch apple juice cost $3.00 after a 40% discount. Which equation would allow you to find the original price of th

e 12-pack?
Mathematics
2 answers:
GaryK [48]3 years ago
6 0

Let x be the original price.

Discount percentage = 40%

Price after discount = $3

So, x - \frac{40}{100} x = 3

\frac{100x-40x}{100} = 3

\frac{60x}{100} = 3

x = 3(\frac{100}{60} )

x=\frac{100}{20}

x = 5

Hence, the equation that would allow us to find the original price is 0.6x = 3.

Leviafan [203]3 years ago
6 0
<span>0.6x=3 would be the equation that would allow you to find the original price.

Hope this helps!</span>
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Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. when sharon jumps, megan throws a beac
Alinara [238K]

It will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet option third is correct.

<h3>What is the equation of motion?</h3>

It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.

We have:

The height of the Sharon from the diving board = 18 feet

The initial upward velocity of the Sharon = 4 ft/s

The height of the Megan from the ground = 5 feet

The initial upward velocity of the beach ball = 16 ft/s

We know the equation of motion is given by:

\rm h(t) = x + ut+\frac{1}{2} gt^2

Put x = 18 feet and u = 4 ft/s in the above equation, we get:

\rm h(t) = 18 + 4t+\frac{1}{2} \times9.8t^2 ....(1)     [g = 9.8 m/s²]

Put x = 5 feet and u = 16 ft/s in the equation of motion, we get:

\rm h(t) = 5 + 16t+\frac{1}{2} \times9.8t^2  ....(2)

Equate the equation (1) and equation (2), we get

\rm  18 + 4t+\frac{1}{2} \times9.8t^2= 5 + 16t+\frac{1}{2} \times9.8t^2\\

18 + 4t = 5 + 16t

12t = 13

t = 1.08 seconds

Thus, it will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet.

Learn more about the equation of the motion here:

brainly.com/question/13514745

6 0
3 years ago
Find gcd for 5767 and 4453
Dima020 [189]
The gcd of 5767 and 4453 is 73.
Hope this helps. :)
7 0
3 years ago
20 POINTS!! Order these numbers from LEAST to GREATEST.
leva [86]

Answer:

A

Step-by-step explanation:

multiply 5/3 by 2 you should get 10/6 and then you simplify it out the fraction is 1 and 4/6

12/6 is 2

and you do not need to do anything with 1

7 0
4 years ago
18 is the geometric mean between 4 and 9. <br> A.) True<br> B.) False
Mademuasel [1]
Im thinking it's false. 18 isn't even between 4 and 9.
8 0
3 years ago
Read 2 more answers
Find fg(x) <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202" id="TexFormula1" title="f(x
Kipish [7]

Answer:

f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123

Step-by-step explanation:

Here, we simply will place g(x) into f(x)

So every x in f(x) is replaced by g(x)

Thus, we have;

(x^2 + 6x + 11)^2 + 2

= (x^2+6x-11)(x^2 + 6x -11) + 2

= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2

= x^4 + 12x^3 + 14x^2 -132x + 123

7 0
3 years ago
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