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suter [353]
2 years ago
5

Detective pi is having a birthday party for the first baby rhino. the cake serves 50 people and cost $120. how much does the cak

e cost per person?​
Mathematics
1 answer:
mash [69]2 years ago
3 0

Just divide the price by the number of persons to find the price per person.

120/50=2.40

The cake costs $2.40 per person.

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Find the volume of the cylinder. Use pi = 3.14* the height of 6 inches and a radius 4.5in​
ArbitrLikvidat [17]

Answer: 381.51 cubic inches

Step-by-step explanation:

1. Use the formula: V = πr^{2}h, or in this case, 3.14(4.5^{2})(6)

2. Simplify to 3.14(20.25)(6)

3. Simply multiply all three numbers using a calculator, or one by one if that's the preferred option.

4. You get: 381.51 cubic inches.

8 0
3 years ago
Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
satela [25.4K]

Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

X_ 0 = 0 for this case

s_0 = 82cos(58\°) ft / sec

s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

6 0
3 years ago
In a football tournament, the Bees scored 9 less than three times as many points as the Hornets. The Wasps scored 28 more points
Elina [12.6K]

Given:

Bees scored 9 less than three times as many points as the Hornets.

Wasps scored 28 more points than the Hornets.

Together the three teams scored 184 points.

To find:

The required equation for this scenario.

Step-by-step explanation:

Let x represent the number of points scored by the Hornets.

Bees scored 9 less than three times as many points as the Hornets.

Bees score = 3x-9

Wasps scored 28 more points than the Hornets.

Wasps score = x+28

Together the three teams scored 184 points.

(3x-9)+x+(x+28)=184

Therefore, the required equation is (3x-9)+x+(x+28)=184.

3 0
3 years ago
6=1-b<br><br> b=?<br> D: <br><br> help please
pishuonlain [190]

Hey there! :)

6 = 1 - b

Like I mentioned in my previous answer, we must isolate our variable. In this case, our variable is b.

So, our first step is to subtract 1 from both sides.

6 - 1 = 1 - b - 1

Simplify.

5 = b

Therefore, b = 5

~hope I helped~

4 0
3 years ago
Read 2 more answers
4x-14=2x please solve need help
notsponge [240]

Answer:

7

Step-by-step explanation:

1. Subtract the 4x on both sides = -14 = -2x

2. Divide -2 on both sides to get -14/-2 = x

3. -14/-2 = 7 so 7 = x

7 0
1 year ago
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