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Alex_Xolod [135]
3 years ago
9

Hello can you please help me posted picture of question

Mathematics
2 answers:
Valentin [98]3 years ago
7 0
Answer is 15 combinations of 2 people from 6 will be able to sit on front row.

The formula used is Formula for Combinations.
Where N = Objects equal to 6 people
and r = Sample or 2 Samples


irina [24]3 years ago
6 0
We are to form the combination of 6 objects taken 2 at a time. This can be expressed as 6C2

6C2= \frac{6!}{2!*4!} \\  \\ 
= \frac{6*5}{2} \\  \\ 
=15

This means, there can be 15 different combinations of 2 members that can sit in the front row.

So, the answer to this question is option A
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Which equation has no solution? *
Reika [66]

Answer:

-2(x+1)=3x-2-5x

Step-by-step explanation:

It has an answer of infinite numbers

7 0
3 years ago
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Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She
qaws [65]
<h3>Answer:   16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0
2 years ago
If the function rule is 5x, what is the value when x = 3?
cupoosta [38]
This means that we will plug 3 into our x values.

Our rule is 5x.

This means that:
5(3)

This means our final answer will be 15.
3 0
3 years ago
Pia needs 100 red beads to make a necklace. She already has 38 red beads. How many more beads does she need?
Nutka1998 [239]

Answer:

at least a couple

Step-by-step explanation:

she should probably buy some more

7 0
3 years ago
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What are three ways a rectangle and a square are alike
k0ka [10]

-- Each has 4 sides.
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-- Area of either one is (length) x (width).


3 0
3 years ago
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