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3 years ago

You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?

Mathematics

1 answer:

puteri [66]3 years ago

4 0

Answer:

Step-by-step explanation:

lets begin to set up this question. i personally find questions like these easiest when i begin to set up ideas to help my brain process it better, for example:

person a

person b

person c

person d

we know that each (person) must receive at least 1 candy. we also know that we have 7 candies. therefore if we want do draw this out :

person a- 1

person b- 1

person c- 1

person d -1

notice that we now have given away 4 of the 7 candies. now we have 3 candies left. we can simply:

person a- 2

person b-2

person c-2

person d- 1

but, keep in mind that there are still many more ways that we can distribute the candies to other kids. the question we are asked is how may ways can we do this. since i have already illustrated the question, you can either learn how to put this into an equation, or experiment how many variations there are. the answer, either way is 15.

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A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9

o-na [289]

Answer: $12.74 ft^2/s$

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let $\theta$ is the angle between them thus

Area of triangle when two sides and angle between them is given

$A=\frac{ab\sin C}{2}$

$A=\frac{5\times 7\times \sin \theta }{2}$

Differentiate w.r.t time

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}$

at $\theta =\frac{\pi }{5}$

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9$

$\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s$

4 0

4 years ago

IF i have 5 flu shots and six people in a business

kari74 [83]

You should definitely give one to the disabled person and 4 to the other people

7 0

3 years ago

The nth term of a sequence is 25-3n

Komok [63]

Answer:

22, 19, 16 and - 5

Step-by-step explanation:

To evaluate any term from the n th term formula substitute the terms position value for n

given $a_{n}$ = 25 - 3n, then

(a)

$a_{1}$ = 25 - (3 × 1) = 25 - 3 = 22

$a_{2}$ = 25 - (3 × 2) = 25 - 6 = 19

$a_{3}$ = 25 - (3 × 3) = 25 - 9 = 16

(b)

$a_{10}$ = 25 - (3 × 10) = 25 - 30 = - 5

5 0

3 years ago

Read 2 more answers

I REALLY NEED HELP, ILL MEDAL!!!!

lara31 [8.8K]

Well, first of all, the first statement (ABC = ADC) looks like it just says
that the two halves of the little square ... each side of the diagonal ...
are congruent. That's no big deal, and it's no help in answering the
question.

The effect of the dilation is that all the DIMENSIONS of the square
are doubled ... each side of the square becomes twice as long.

Then, when you multiply (length x width) to get the area, you'd have

Area = (2 x original length) x (2 x original width)

and that's
the same as (2 x 2) x (original length x original width)

= (4) x (original area) .

Here's an easy, useful factoid to memorize:

-- Dilate a line (1 dimension) by 'x' times . . . multiply the length by x¹

-- Dilate a shape (2 dimensions) by 'x' . . . multiply area by x²

-- Dilate a solid (3 dimensions) by 'x' . . . multiply volume by x³

And that's all the dimensions we have in our world.
_______________________________

Oh, BTW . . .

-- Dilate a point (0 dimensions) by 'x' . . . multiply it by x⁰ (1)

5 0

3 years ago

Blocks numbered 0-9 are placed in a box and a black is randomly picked the probability of picking an odd prime number is

Andrews [41]

Answer:

Step-by-step explanation:

$B_n = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9\\B_p = 2, 3, 5, 7\\B_{o_p} = 3, 5, 7\\$

There are 3 odd primes, namely : 3, 5, 7

The total amount of blocks is 9

The odds of picking and odd prime is $\frac{3}{9} \cdot 100\% = 33,(3)\%$

6 0

3 years ago