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asambeis [7]
3 years ago
5

Factor this equation 4-49w^2

Mathematics
1 answer:
OLEGan [10]3 years ago
8 0
4-49w^2=\ \ \ \ | use\ fromula\  (a^2-b^2)=(a-b)(a+b)\\\\
4-49w^2=(2^2-(7w)^2)=(2-7w)(2+7w)\\\\
after\ factorisation:
\ 4-49w^2=(2-7w)(2+7w)
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7 0
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Read 2 more answers
40% of 125 is what number?
Hatshy [7]
The answer is 32


Solution for 40 is what percent of 125:

40:125*100 =

( 40*100):125 =

4000:125 = 32

Now we have: 40 is what percent of 125 = 32

Question: 40 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 125 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=125$100%=125​.

Step 4: In the same vein, $x\%=40$x%=40​.

Step 5: This gives us a pair of simple equations:

$100\%=125(1)$100%=125(1)​.

$x\%=40(2)$x%=40(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{125}{40}$
100%
x%​=
125
40​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{40}{125}$
x%
100%​=
40
125​​

$\Rightarrow x=32\%$⇒x=32%​

Therefore, $40$40​ is $32\%$32%​ of $125$125​.
7 0
4 years ago
Read 2 more answers
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