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Sladkaya [172]
3 years ago
7

Solve for This inequality 8-1/4n>20

Mathematics
2 answers:
Naddik [55]3 years ago
7 0

\text{Solve the inequality:}\\\\8-\frac{1}{4}n>20\\\\\text{Subtract 8 from both sides}\\\\-\frac{1}{4}n>12\\\\\text{Multiply both sides by 4 to cancel the denominator}\\\\-n>48\\\\\text{Divide both sides by -1, while flipping the inequality sign, since you're}\\\text{dividing by a negative}\\\\\boxed{n

lora16 [44]3 years ago
5 0

Answer:

n = -7

Step-by-step explanation:

One solution was found :

                  n = -7

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*(1+n)-(-20+4*n)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 8 • (n + 1) -  (4n - 20)  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  4n + 28  =   4 • (n + 7)

Equation at the end of step  3  :

 4 • (n + 7)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    n+7 = 0

Subtract  7  from both sides of the equation :

                     n = -7

One solution was found :

                  n = -7

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3 years ago
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​.
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3 years ago
Read 2 more answers
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