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Viktor [21]
4 years ago
6

At the movies, Hunter bought 3 popcorn and 5 drinks. Each popcorn

Mathematics
1 answer:
anastassius [24]4 years ago
7 0

Answer:

P= $2.75

Step-by-step explanation:

So first we need to create our system of equations

since each popcorn is 0.40 less than each drink we can make the equation:

D - 0.40 = P we can rewrite that as P + 0.40 = D so that we have D by its self.

Next, we create the overall equation:

$24.00 = 3P + 5D

Now plug in D from the first equation into the second equation:

$24.00 = 3P + 5( P + 0.40)

Distribute the five and solve for P:

$24.00 = 3P + 5P + 2

$22.00 = 8P

P = $2.75

Now add 0.40 which would be $3.15 and plug it into the first equation just to make sure that the answer is correct.

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tia_tia [17]
Use the formula  V=Bh

V is 306.52
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3 years ago
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Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2
Vesna [10]

Answer:

Step-by-step explanation:

Let the point P is at the origin (0, 0).

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Rule for the dilation of a point by a scale factor = k

(x, y) → (kx, ky)

If k = \frac{1}{2}

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3 years ago
1. A cheetah can run at a top velocity of 31 m/s and has a mass of 47 kg. What is the cheetahs kenetic energy?
Naily [24]

Answer:

1. 22583.5 J

2. 1248 kg

3. 78.09 m/s

Step-by-step explanation:

The formula for kinetic energy is ;

K.E = 1/2* m * v²

Where m is the mass and v is the velocity

1.

K.E = 1/2 * m*v²

K.E = 1/2 * 47 * 31²

K.E = 22583.5 J

2.

Velocity = 9.78 m/s.

Kinetic energy = 60,800 J

To get mass, apply the formula as;

K.E = 1/2 * m*v²

60,800 = 1/2 * m * 9.78²

60800 = 48.70845 m

60800/48.70845 = m

1248 = m

Mass = 1248 kg

3.

K.E = 143.3 J

Mass = 0.047 kg

Apply the formula;

K.E = 1/2 * m*v²

143.3 = 1/2 * 0.047 * v²

143.3 = 0.0235 v²

143.3/0.0235 = v²

6097.87 = v²

v = √6097.87

v= 78.09 m/s

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3 years ago
Please help. I need help with B.
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