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Shkiper50 [21]
3 years ago
13

1 What is the value of x in the equation 8x - 5(x - 1) = 20?

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

1. Expand

    8x - 5x + 5 = 20

2. Simplify

    3x + 5 = 20

3. Subtract 5 from both sides

    3x = 20 - 5

4. Simplify

    3x = 15

5. Divide both sides by 3

    x = 15/3

6. Simplify

    x = 5

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Which of the following demonstrates how the 20 is calculated using the<br> combination pattern?
ZanzabumX [31]

Answer:

D

Step-by-step explanation:

The diagram shows Pascal's triangle. Pascal's triangle is a triangular array of the binomial coefficients.

The entry in the n^{th} row (start counting rows from 0) and k^{th} column (start counting columns from 0) of Pascal's triangle is denoted by

C^n_k=\left(\begin{array}{c}n\\ k\end{array}\right)

Coefficient 20 stands in 6th row, then n = 6 and in 3rd column, so k = 3.

Hence,

20=C^6_3=\left(\begin{array}{c}6\\ 3\end{array}\right)=\dfrac{6!}{3!(6-3)!}

4 0
3 years ago
Martha made a purchase for $70.20 including 8% sales tax.<br> What was the total before tax?
Oduvanchick [21]

Answer:

64.58

Step-by-step explanation:

100%-8%=92%

70.20*92%=64.58

3 0
3 years ago
Sequence of {4-1/6n}
Bond [772]

Answer:

It's arithmetic

Step-by-step explanation:

For n=0 you got 4

For n=1 you got 4-1/6

For the next element the value will be the current element minus 1/6

8 0
3 years ago
I don’t get this can someone explain this
LekaFEV [45]

Answer:

15.7 units

Step-by-step explanation:

AB = 6, BC = 3

Therefore by Pythagoras theorem

AC = \sqrt{45}

perimeter \: of \:  \triangle \: ABC \\  = 6 + 3 +  \sqrt{45}  \\  = 9 + 6.70820393 \\  = 9 + 6.7 \\  = 15.7\: units

3 0
3 years ago
Can you help me!!!!!!!!
liubo4ka [24]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
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