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2 years ago

In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty. The answer is not 243.

Mathematics

1 answer:

lord [1]2 years ago

7 0

Answer:

6 ways

Step-by-step explanation:

The way to solve for this is to use the formula

Combination C (n-1, r-1)

= n = 5 identical fruits

r = 3 bowls

So, we have: 5 - 1 = 4

3 - 1 = 2

= 4!/2! (4-2)!

= 4 × 3 × 2 × 1/(2 × 1 )(2 × 1)

= 6 ways

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2 years ago

Based on the side lengths given (a, b, and o, which triangles are right triangles?

Cloud [144]

Answer:

2 & 3

Step-by-step explanation:

Pythagorean Theorem is $a^2+b^2=c^2$ .

If the values given in each option satisfy the theorem, the sides will make a right triangle.

<h3>For Option One:</h3>

$4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}$

The sides would not make a right triangle.

<h3>For Option Two:</h3>

$6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}$

The sides would make a right triangle.

<h3>For Option Three:</h3>

$5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}$

The sides would make a right triangle.

<h3>For Option Four:</h3>

$6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}$

The sides would not make a right triangle.

The correct answer should be options two and three.

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2 years ago

Find the number that makes the ratio equivalent to 1:8.<br> 7:__

kvasek [131]

Answer:

Step-by-step explanation:

1:8= 7:?

1*?=7

/1 /1

1*7=7

8*7=56

1:8 = 7:56

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2 years ago

Read 2 more answers

The diagonals of a kite have lengths of x inches and 18x inches. The area of the kite is given by A=9x^2. Identify the equation(

Firdavs [7]

Answer:

Step-by-step explanation:

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3 years ago

Zoey has 99 years .She plans to make 5 bangles .Each bangle is made using 30 beads how many more beads does zoey need?

drek231 [11]

Note: I am assuming you meant to say:

Zoey has 99 beads instead of 99 years.

Answer:

Zoey needs 51 more beads to make 5 bangles.

Step-by-step explanation:

Total number of beads Zoey currently has = 99 beads

Beads need to make one bangel = 30 beads

Beads need to make 5 bangles = 30 × 5 = 150 beads

Since she has already 99 beads.

So, all we need s to subtract 99 beads from 150 beads.

Therefore,

The number of beads Zoey needs = 150 - 99

= 51 beads

Thus, Zoey needs 51 more beads to make 5 bangles.

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3 years ago