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2 years ago

A 32-ounce soda costs $4.00 at a movie theater. What is the approximate cost per ounce for the soda?

Mathematics

1 answer:

Rom4ik [11]2 years ago

3 0

Answer:

1 oz of soda costs about $0.13

Step-by-step explanation:

32 oz = $4.00

Divide each side by 32 to simplify.

1 oz = $0.125

$0.125 ≈ $0.13

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A 0.311 kg tennis racket moving 30.3 m/s east makes an elastic collision with a 0.0570 kg ball moving 19.2 m/s west. Find the ve

max2010maxim [7]

Answer:

The velocity of the tennis racket after the collision 14.966 m/s.

Step-by-step explanation:

An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.

So, the total kinetic energy before collision = the total kinetic energy after collision.

For the given problem let the following:

m₁ = mass of tennis racket = 0.311 kg

m₂ = mass of the ball = 0.057 kg

u₁ = velocity of tennis racket before collision = 30.3 m/s

u₂ = velocity of the ball before collision = -19.2 m/s

v₁ = velocity of tennis racket after collision

v₂ = velocity of the ball after collision

Right ⇒east (+) , Left⇒ west (-)

v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)

= ( 30.3 * (0.311 - 0.057) - 19.2 * 2 * 0.057 ) / ( 0.311 + 0.057)

= 14.966 m/s.

So, the velocity of the tennis racket after the collision 14.966 m/s.

5 0

3 years ago

5. (01.07) Solve 3x - x + 2 = 12. (1 point)

mafiozo [28]

Answer:

x = 5

Step-by-step explanation:

Simplify. First, combine like terms:

3x - x + 2 = 12

(3x - x) + 2 = 12

(2x) + 2 = 12

2x + 2 = 12

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

& is your order of operation.

First, subtract 2 from both sides:

2x + 2 (-2) = 12 (-2)

2x = 12 - 2

2x = 10

Next, divide 2 from both sides:

(2x)/2 = (10)/2

x = 10/2

x = 5

5 is your answer for x.

Check: Plug in 5 for x in the equation. Solve:

3(5) - (5) + 2 = 12

15 - 5 + 2 = 12

10 + 2 = 12

12 = 12 (True)

7 0

3 years ago

Read 2 more answers

Find the slope of the line that contains (−9, 1) and (3, 6).

Neko [114]

Answer:

5/12

Step-by-step explanation:

slope is $\frac{1y-2y}{1x-2x}$

so $\frac{6 - 1}{3 - (-9)}$ and that is 5/12

Please mark brainliest!!! Thanks.

6 0

3 years ago

PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !

Kaylis [27]

Answer:

1/4:1/5

Step-by-step explanation:

5 0

3 years ago

(3x^3/2. y^3÷ x^2 y^-1÷2)-2

ycow [4]

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5 0

3 years ago