44 is equal to 8 times a number minus 4. what is the number?

Mathematics

2 answers:

Scrat [10]3 years ago

4 0

Answer:The number is 6.

Step-by-step explanation:

8n - 4 =44

+4 +4

8n =48

n=6

postnew [5]3 years ago

3 0

Answer:

Step-by-step explanation:

Let "a number" = x

44 = 8x - 4

Simplify. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First add 4 to both sides:

44 (+4) = 8x - 4 (+4)

44 + 4 = 8x

48 = 8x

Isolate the variable, x. Divide 8 from both sides:

(48)/8 = (8x)/8

x = 48/8

x = 6

6 is your answer.

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Answer:

16 feet

Step-by-step explanation:

The length of the ladder=20 feet

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You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.

To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.

From Pythagoras theorem

$Hyp^2=Opp^2+Adj^2\\20^2=12^2+Adj^2\\Adj^2=400-144\\Adj^2=256\\Adj=\sqrt{256}=16$