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Ivan
3 years ago
12

You have 6 Scrabble tiles with different letters of the alphabet in a bag. If you select 3 tiles,

Mathematics
1 answer:
Sladkaya [172]3 years ago
4 0
The answer is C. 120

The solution can be derived by the formula 6P3.

6P3 = 6 * 5 * 4 = 120

120 different combinations can be made with the condition.

<span>Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.</span>


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A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches?
Gwar [14]
Unfortunately, you have not shared any illustration of this picture-in-a-frame, and thus I don't know the dimensions of the picture.

But suppose that the dimensions are 8 by 10 inches.
Then the total area of the picture-with-2"-frame is (8+2)(10+2) square inches = 10(12) square inches = 120 square inches.
8 0
3 years ago
Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B16%7D%7B9%7D%29%20%5E%7B2x%20%2B5%7D
nignag [31]

Answer: x=-\frac{3}{5}

Step-by-step explanation:

By the negative exponent rule, you have that:

(\frac{1}{a})^n=a^{-n}

By the exponents properties, you know that:

(m^n)^l=m^{(nl)}

You can rewrite 16 and 9 as following:

16=4²

9=3²

Therefore, you can rewrite the left side of the equation has following:

(\frac{4^2}{3^2})^{(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3^2}{4^2})^{-(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3}{4})^{-2(2x+5)}=(\frac{3}{4})^{(x-7)}

 As the base are equal, then:

-2(2x+5)=x-7

Solve for x:

-2(2x+5)=x-7\\-4x-10=x-7\\-4x-x=-7+10\\-5x=3\\x=-\frac{3}{5}

6 0
3 years ago
Hich equation can pair with x + 2y = 5 to create an inconsistent system?
timofeeve [1]
X+ 2y=5
X=5-2y

2x+4y=3
2(5-2y)+4y=3
10-4y+4y=3
10=3

5x+2y=3
5(5-2y) +2y=3
25-10y+2y=3
-8y=-22
Y=-22/-8

Y=2.75

6x+12y=30
6(5-2y)+12y=30
30-12y+12y=30
30=30

3x+4y=8
3(5-2y)+4y=8
15-6y+4y=8
-2y=8-15
-2y=-7
Y= -7/-2
Y= 3.5
7 0
3 years ago
Read 2 more answers
Kent multiplies both sides of the equation below by an expression. k + StartFraction 12 Over k EndFraction = 8 Then he moves all
Artemon [7]

Answer:

k^2-8k+12=0D

Step-by-step explanation:

Explanation:

1) Given equation:

         k+12/k=8

2) Multiplication property of equality:

        k(k+12/k)=8k

3) Distributive property:

        k^2+12k/k=8k

4) Simplification:

        k^2+12=8k

5) Subtraction property of equality:

        k^2-8k+12=0

3 0
3 years ago
Read 2 more answers
A paper company produces 1,740 notebooks in 2 days. How many notebooks can it produce in 10 days?
vladimir1956 [14]

Answer: in 10 days the company can make 87000 notebooks considering the company produces at the same rate.


Step-by-step explanation:

Think 1740=2d

X=10d

Cross multiply

2x= 17400

X= 8700

8700 x 10d = 87000

8 0
3 years ago
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