Answer:
14x - 8 = 22 + 20x
x = -5
Step-by-step explanation:
Let "the number" be represented by x
Take each part of the statement and translate into algebraic form
"14 times a number" 14x
"decreased By eight" -8
"is" =
"22 Increased by" 22 +
"20 times The same number" 20x
Put the equation together. Solve for x by isolating.
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14x - 8 = 22 + 20x
14x - 8 - 20x = 22 + 20x - 20x Subtract 20x from both sides
-6x - 8 = 22
-6x - 8 + 8 = 22 + 8 Add 8 to both sides
-6x = 30
-6x ÷ -6 = 30 ÷ -6 Divide both sides by -6
x = -5
Answer:
neither
Step-by-step explanation:
The second and 3rd one can be modeled by by y = 100/x but the first one and the fourth one do not follow that, so the answer is neither. The first and fourth are y = 80/x
Put the values in and you will see the equations for yourself.
One
y = 80/2
y = 40
The 80 came from looking at this as an indirect variation. y = k/x
y = 40
x = 2
y = k/x
40 = k/2 Multiply both sides by 2
40 * 2 = k
k = 80
Two
y = k/x
20 = k/5
k = 20 * 5
k = 100
4. 20 minutes
Explanation- It's the only answer with "minutes" as an answer.
Answer:
.
Step-by-step explanation:
The given expression is
We need to simplify the expression such that answer should contain only positive exponents with no fractional exponents in the denominator.
Using properties of exponents, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
![[\because a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
We can not simplify further because on further simplification we get negative exponents in numerator or fractional exponents in the denominator.
Therefore, the required expression is .
Answer:
Step-by-step explanation:
i just did this problem wrong and it showed me the correct answer
