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BaLLatris [955]
3 years ago
6

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]3 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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Please solve Question 11 correctly..
Katena32 [7]

Answer:

i) width = 3.75

length = 4.5

ii) 6.75m^2

iii) 78.75m^2

Step-by-step explanation:

11)

i) Bedroom 1

actual width = 2.5 × 1.5

= 3.75 m

actual length = 3 × 1.5

= 4.5m

ii) Kitchen

actual width = 1.5 × 1.5

= 2.25 m

actual length = 2 × 1.5

= 3 m

actual area = 2.25× 3

= 6 .75 m^2

iii) Apartment

actual width = 5 × 1.5

= 7.5 m

actual length = 7 × 1.5

= 10. 5 m

actual area = 7.5 * 10.5

= 78.75 m ^2

5 0
3 years ago
Swimming Pool On a certain hot summer's day, 236 people used the public swimming pool. The daily prices are $1.50 for children a
forsale [732]

Answer:

Step-by-step explanation:

a+c=236\\ \\ a=236-c\\ \\ 1.5c+2.5a=525\\ \\ 1.5c+2.5(236-c)=525\\ \\ 1.5c-2.5c+590=525\\ \\ -c=-65\\ \\ c=65\\ \\ a=236-65\\ \\ a=171\\ \\ \text{So there were 171 adults and 65 children at the pool that day.}

7 0
3 years ago
The height of the Eiffel Tower is 1050 feet. From the top, the angle of depression to a soccer ball on the ground is 20 degrees.
Aneli [31]
Check the picture below.

make sure your calculator is in Degree mode.

4 0
3 years ago
A closed cylindrical tank contains 36pi cubic feet of water and is filled to half its capacity. When the tank is placed upright
pentagon [3]

Answer:

2.12 ft above ground level

Step-by-step explanation:

Volume of the cylindrical tank is 36*π

Tank is filled to half its capacity, that means tank is filled 18*π, and level of water is 4 feet, then the height of the cylinder is 8 feet

With the above information we can calculate the radius of the base of the cylinder, according to

V  =  36*π  = π*r²*h     ⇒  36 = r²*h     ⇒   36/8 = r²    ⇒  r = 2.12 ft

Then the radius of the base is  2.12 ft

When the cylindrical tank is place on its side, the level of water inside have to be 2.12 ft above ground level. That is the level of half its capacity

7 0
4 years ago
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Write the quadratic equation whose roots are 4 and −4 , and whose leading coefficient is 2 .
Vlada [557]
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