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uranmaximum [27]
3 years ago
9

) how many ways are there to divide a group of 10 kids into two groups of 5 to play soccer?

Mathematics
1 answer:
omeli [17]3 years ago
4 0
Hello,

C(5,10)= 10!/(5!*(10-5)!)=36

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How many solutions does 2x + 3y = -6 and <br><br> 3x - 4y = -12 have
Ostrovityanka [42]

Answer:

As there are 2 equations and two unknowns there is 1 solution

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3 years ago
The sum of two numbers is 64. The difference between the numbers is 14. Write a system
Anastasy [175]

Answer:

They say that the sum of the two numbers (x and y) is 64, so we can write our first equation by adding them and setting that sum equal to 64:

x + y = 64

The question also tells us that their difference is 14. Similarly to before, we'll just subtract the two numbers and set that difference equal to 14:

x - y = 14

Now from here, you know how to continue with substitution to find the values for x and y. Just remember when you get a word problem to break it down and look for key words like sum, difference, or product, and from there you'll be able to build your system of equations.

8 0
2 years ago
A first number plus twice a second number is 24. twice the first number plus the second totals 21. find the numbers.
Ulleksa [173]
We do like the following:
Set the first number is a and the second is b.
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And we have 2xa+4xb=48 or 2xa=48-4xb
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4 0
3 years ago
A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is
Gnoma [55]

Answer:

<h2><em>29.4 length and 21.4 width.</em></h2>

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:  A_{total} = (L+6)(W+6).

In addition, we know that the total area is 970 and the length is 8 ft longer than the width (L=W+8). So:

A_{total} = (L+6)(W+6)\\970 = (W+8+6)(W+6)\\970=W^{2}+20W+84\\W^{2}+20W-886=0

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions: W_{1}=21.4 and  W_{2}=-41.4

Therefore, the width is 21.4 ft, because the negative number cannot represent distances.

Using the relation between length and width:

L=W+8\\L=21.4+8=29.4

<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>

7 0
3 years ago
Zachary and his children went into a bakery and he bought $15 worth of cupcakes and brownies. Each cupcake costs $3 and each bro
goblinko [34]

Step-by-step explanation:

the answer is

Y=2.5

X=3.75

8 0
3 years ago
Read 2 more answers
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