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mars1129 [50]
3 years ago
14

Which of the following is the solution set to the inequality −25x+14>20?

Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0

Answer:

Option C. x < -15

Step-by-step explanation:

<u><em>The correct inequality is</em></u>

-\frac{2}{5}x+14 >20

Solve for x

subtract 14 both sides

-\frac{2}{5}x+14-14 >20-14

-\frac{2}{5}x >6

Multiply by -1 both sides

\frac{2}{5}x < -6

Multiply by 5/2 both sides

x < -6(\frac{5}{2})

x < -15

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Michael says that <img src="https://tex.z-dn.net/?f=5%28%20%5Cfrac%7B1%7D%7B%20%7B5%7D%5E%7B3%7D%20%7D%29%20%3D%205%20%5C%3A%20%
Andrei [34K]
5\cdot(\frac{1}{5^3})\ne5\cdot(5^3)

His answer is not correct, when we have a power on the denominator it is dividing and not multiplying, in this case while the expression on the left is being divided the other one is multiplying.

also you could rewrite the expressions like so remembering that powers that are on the denominator can be written as negative powers.

\begin{gathered} 5\cdot(\frac{1}{5^3})\ne5\cdot(5^3) \\ 5\cdot5^{-3}\ne5^4 \\ 5^{-2}\ne5^4 \end{gathered}

6 0
1 year ago
Please help me if you know, thank you :)
marysya [2.9K]
294/X= -14
Cross multiply
294= -14X
Divide both sides by -14
294 : -14 = -21
-14 gets cancelled out so the X is isolated
X= -21 or -21=X it doesn’t really matter which way you put it
7 0
3 years ago
Read 2 more answers
How do you reduce fractions?
SIZIF [17.4K]
Find a number to will divide into both the numerator and denominator equally.

For example, take a look at this fraction: 10/15

What number can both divide evenly into the numerator and denominator? Well, 5!

10/15 / 5/5 = 2/3


3 0
3 years ago
Rico thinks it's a perfect square triinomiall. Teresa says it's the difference of two squares. Who is
Naya [18.7K]

Answer: Rico is right.

(-1)(3x + 5)²

Step-by-step explanation: If it were the difference of two squares, the -30x would not be there.

It makes sense to factor out (-1) fry the trinomial, leaving all positive terms.

Then factor 9x² + 30x + 25 as

(3x + 5)²

7 0
2 years ago
Estimate a 25% tip on a bill of $89.27 by first rounding the ball amount to the nearest ten dollars
pantera1 [17]
$22.32 or 22 dollars
3 0
3 years ago
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