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melisa1 [442]
3 years ago
15

1) 8a=2pn solve for a

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0
8a=2pn
Step 1: Divide both sides by 8.8a8=2np8a=14np

Answer: a=14np

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Use any method to work these out, but do NOT use a calculator.
Artemon [7]

Answer:

A) 216

B) 64.5

Step-by-step explanation:

         40

x     5.40

___________

You can solve it like that, I don't remember what it is called.

4 0
3 years ago
[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?
Nitella [24]

Answer:

C

Step-by-step explanation:

Given the logarithmic equation

\log_4x+\log_4(x-3)=\log_4(-7x+21)

First, notice that

x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

\log_4x+\log_4(x-3)=\log_4x(x-3),

then

\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3

Hence, x=3 and x=-7 are extraneous solutions

6 0
3 years ago
If the 50th and 51st terms of an arithmetic sequence are 140 and 142, find the 1st term
morpeh [17]

Answer:

The first term is 42.

Step-by-step explanation:

The common difference is 142  - 140 = 2 so we have

50th term = a1 + 2(50 -1) = 140    where a1 is the first term

a1 + 98 = 140

a1 = 140 - 98 =  42.

4 0
3 years ago
Is 18 and 0.3 equivalent
grigory [225]

Answer:

No

Step-by-step explanation:

Because 0.3 is a decimal and 18 is a whole number.

0.3 = 3/10 which is 30%

5 0
3 years ago
Pleaseee Help me 20 pts
Simora [160]

Answer:

Tax is  C 4.12

Tip is  E 15.00

total =94.10

Step-by-step explanation:

Tax = bill * tax rate

      = 74.98 * 5.5%

      = 74.98 * .055

      = 4.1239

To the nearest cent = 4.12

Tip = bill * tip rate

      = 74.98 * 20%

       = 74.98 *.2

       = 14.996

 To the nearest cent = 15.00

The total bill is

Final = bill + tax+ tip

        = 74.98 + 4.12+15

       = 94.10

7 0
3 years ago
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