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Kaylis [27]
4 years ago
3

PLEASE HELP!!!!

Mathematics
2 answers:
melamori03 [73]4 years ago
6 0

Answer:

17.28

Step-by-step explanation:

den301095 [7]4 years ago
4 0
Let's use the formula for spheres:
V= 4/3 pi*r^3

First find the volume of the machine.
V=4/3 pi 9^3
= 4/3 pi 729

I'm going to guess you need pi in decimal form: 3.141592......

V= 4/3 * 3.14 * 729
approximately equal to 3052.08


Then find the volume of each gumball using the same formula:
V= 4/3 pi (3/4)^3
= 4/3 * 3.14 * 27/64
approximately equal to 1.77

Now you have the volume for one gumball.

Divide the volume of the machine by the volume of one gumball:

3052.08 / 1.77 = 1724.34

Now, that would usually be the answer, but you can't have 0.34 of a gumball! So round down to the whole number (1724) and there's your answer!

Also, keep in mind this is just an estimate since we're using 3.14 as pi. If you have a calculator with pi, you can plug that in and get a more accurate answer. So out of the options, I would say 1728 is the answer.

Hope this helps!
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One, no, or infinitely many solutions?
erastovalidia [21]

Answer:

One solution

x = 3

Step-by-step explanation:

3x + 5 + 6x - 7 = 25

combine like terms:

9x -2 = 25

add 2 to each side of the equation:

9x = 27

divide both sides by n9:

x = 3

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3 years ago
The total distance in centimeters that a toy robot moves varies directly with the time in seconds the toy robot moves a total di
kobusy [5.1K]

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Hey there!

The robot moves 63 cm in 9 seconds. Then in 1 second, it moves 7 cm.

If it goes 49 cm, it will take 7 seconds.

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4 0
3 years ago
Find the exact value of cot 330° in simplest form with a rational denominator.
Hoochie [10]

Answer:

\cot 330^{\circ} = -\sqrt{3}

Step-by-step explanation:

The cotangent function can be rewritten by trigonometric relations, that is:

\cot 330^{\circ} = \frac{1}{\tan 330^{\circ}} = \frac{\cos 330^{\circ}}{\sin 330^{\circ}} (1)

By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:

\sin 330^{\circ} = \sin (-30^{\circ}) = -\sin 30^{\circ} (2)

\cos 330^{\circ} = \cos (-30^{\circ}) = \cos 30^{\circ} (3)

By (2) and (3) in (1), we have following expression:

\cot 330^{\circ} = -\frac{\cos 30^{\circ}}{\sin 30^{\circ}}

If we know that \sin 30^{\circ} = \frac{1}{2} and \cos 30^{\circ} = \frac{\sqrt{3}}{2}, then the result of the trigonometric expression is:

\cot 330^{\circ} = -\frac{\frac{\sqrt{3}}{2} }{\frac{1}{2} }

\cot 330^{\circ} = -\sqrt{3}

6 0
3 years ago
Brian has a gift card with a $250 balance. He buys several video games that cost $33 each. After the purchases, his gift card ba
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Answer:

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A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds.A large bag contains 41/2 cups of dried fruit and
Juliette [100K]
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

\left \{ {{3f + 4a = 6} \atop {41/2 f + 6a = 9 }} \right.

Solve for a in first equation:
a = (6 - 3f) / 4

Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
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Now, substitute this value in the formula found for a:
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Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>

3 0
3 years ago
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