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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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likoan [24]
The opposite of 12 is -12 . To add negative<span> numbers to </span>positive<span> numbers count backwards, as if you were subtracting.  We have the problem: 1+ (-12). This can be read as “one </span>plus negative<span> twelve.” This can also be read as 12-1 which is 11 so the answer is 11.</span>
5 0
3 years ago
6. Find the area of the triangle below.<br> Be sure to include the correct unit in your answer.
snow_tiger [21]

Answer:

512

Step-by-step explanation: area of triangle= 1/2*base*height

4 0
3 years ago
Read 2 more answers
Please help!! I don’t get it
Marrrta [24]

Answer:

Each hotdog costs $1.65

Each juice drink costs $1.05

Step-by-step explanation:

Let's begin by letting x represent the number of hot dogs and y the number of juice drinks.

The Baxter family bought 6 hot dogs and 4 juices for $14.10.

6x + 4y = 14.10

The Farley family bought 3 hot dogs and 4 juices for $9.15.

3x + 4y = 9.15

Now, we subtract these equations.

6x + 4y = 14.10\\- (3x + 4y = 9.15)

Since y has reversed coefficients, it gets eliminated. Now solve for x.

6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}

\frac{4.95}{3} = 1.65

x = 1.65

NOW, we find y by substituting x with 1.65 (in either equation).

We'll use the first equation.

6x + 4y = 14.10

6(1.65) + 4y = 14.10

9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2

\frac{4y}{4} = \frac{4.2}{4} \\y = 1.05

x = 1.65

y = 1.05

x represents hotdogs and y represents juice drinks.

Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.

<em> I hope this helps! :)</em>

6 0
3 years ago
In each of problems 5 through 11, find the general solution of the given differential equation
Brrunno [24]

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function y(t)=e^t  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

<h3>What is a function?</h3>

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

y_1(t) = e^t

Given differential equations are,

y''-y = 0

 So that,  

y' (t) = e^t, y'' (t) = e^t

Substitute values in the given differential equation.

e^t -e^t=0

                   

Therefore, the function y(t)=e^t  is the solution of the given differential equation.

Another function;

y(t)=cosht  

So that,  

y"(t)=sinht\\\\y"(t)=cosht

Hence, function y(t)=cosht is solution of given differential equation.

Learn more about function here:

brainly.com/question/2253924

#SPJ1

7 0
2 years ago
Brad needs to rent scaffolding to paint a 2-story room. Handy Rentals charges $15 plus $12.50 per hour. The EZ Rental Company ch
mrs_skeptik [129]

Answer:

6 hours

Step-by-step explanation:

lmk if you want an explanation

6 0
2 years ago
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