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Maslowich
3 years ago
12

From a group of five boys and seven girls, two boys and three girls will be selected to attend a conference. In

Mathematics
1 answer:
babunello [35]3 years ago
3 0

Step-by-step explanation:

Number of combinations

= 5C2 * 7C3

= 10 * 35

= 350.

Hence there are 350 possible ways.

P.S.

5C2 = 5! / (2!3!) = 120 / (2 * 6) = 10.

7C3 = 7! / (3!4!) = 5040 / (6 * 24) = 35.

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A washer and dryer cost $869 combined. The washer cost $81 less than the dryer. What is the cost of the dryer?
marysya [2.9K]
W+d=869
w=d-81
plug in
(d-81)+d=869
2d-81=869
+81 both sides
2d=950
÷2 both sides
d=475
dryer cost $475

let's check w=475-81
w=394
475+394=869
869=869
the solution is true :)


7 0
3 years ago
Read 2 more answers
The radius of a circle with an area of 60 square centimeters is represented by the expression √60/π centimeters. What is another
monitta

Answer:

r= 2 √(15/π)

Step-by-step explanation:

Given that :

Area of circle =60sq cm

radius=√60/π

Area=\pi r^2\\60=\pi r^2\\\\\sqrt{\frac{60}{\pi}}=r\\\\\sqrt{\frac{15\times 4}{\pi}}=r\\2\sqrt{\frac{15}{\pi}}=r

Hence the radius can be written as 2 √(15/π)

3 0
3 years ago
What is the inverse of the function below?<br><br> f(x) = 2^x + 6
Helen [10]

The inverse of this function would be f(x) = \frac{Log(x - 6)}{Log2}.



You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.



f(x) = 2^{x} - 6 ----> Switch f(x) and x



x = 2^{f(x)} - 6 ----> Add 6 to both sides



x + 6 = 2^{f(x)} -----> Take the logarithm of both sides in order to get the f(x) out of the exponent



Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2



\frac{Log(x + 6)}{Log2} = f(x) ----> And switch the order for formatting purposes.



f(x) = \frac{Log(x + 6)}{Log2}



And that would be your new inverse function.

6 0
3 years ago
Read 2 more answers
A number c minus 4.3 is no less than 16. write this word sentence as an inequality.
aksik [14]

Answer:

c - 4.3 > 16

(hope this helps)

6 0
2 years ago
X - y = 2<br> 4x – 3y = 11
swat32

Answer:

<u><em>For x - y = 2</em></u>

You need to find x or y in one of the equations and then substitute that into the other.

So we have;

x-y=2

4x-3y=11

We will take the first equation and find x;

x-y=2

add y to both sides;

x-y+y=2+y

x=2+y

Now we take that answer and substitute it forx in the other equation;

 

4(2+y)-3y=11

8+4y-3y=11

8+y=11

y=3

Now we have what y equals, so we use it in the first equation to find x;

x-3=2

x=5

So we have;

x=5; y=3

Hope you understand!

=)

<u><em>And for 4x – 3y = 11</em></u>

Multiply the first equation by 2 and the second by 3 so that there are the same number of y's in each:

8x - 6y = 22    ...(3)

30x + 6y = -3  ...(4)

 Now add (3) and (4) term by term:

38x + 0 = 19

or

38x = 19

or x = 1/2

Put this back into equation (1)

4*(1/2) - 3y = 11

or

2 - 3y = 11

Subtract 2 from both sides:

-3y = 9

 Divide both sides by -3

y = -3

6 0
3 years ago
Read 2 more answers
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