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Vaselesa [24]
3 years ago
11

Answer for 14+3y < 65

Mathematics
2 answers:
ivanzaharov [21]3 years ago
5 0
Hey there!

14 + 3y < 65

SOME people replace “<”, “>”, “≥”, or “≤” as an equal sign (=) to make it easier to solve

14 + 3y < 65
14 + 3y = 65

SUBTRACT by 14 on both of your sides
3y + 14 - 14 = 65 - 14
CANCEL out: 14 - 14 because that gives you 0
KEEP: 65 - 14 because it helps you solve for “y”

**65 - 14 = 51**

NEW EQUATION: 3y = 51

DIVIDE by 3 both of your sides
3y/3 = 51/3
CANCEL out: 3/3 because that gives you 1
KEEP: 51/3 because it gives you the value of “y”



NEW EQUATION: y = 51/3

**51/3 = 17**

Answer: y = 17 ☑️

☑️ OVERALL ANSWER FOR YOU: y < 17 ☑️
NOTE: it’s an OPEN circle SHADED to the LEFT

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Anarel [89]3 years ago
3 0

Answer:

The answer is y<17

Step-by-step explanation:

First, move the constant to the right.

3y<65-14

Then, subtract 65 and 14

3y<51

Lastly, divide both sides by 3.

y<17

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FOR QUESTION 4

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Step-by-step explanation:

7 0
3 years ago
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What is the solution to the inequality below?
Svetlanka [38]

Answer:

B. x < -8 or x > 8

Step-by-step explanation:

You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.

Process:

You know that since the inequality states that x^2 has to be greater than 64, x  has to be more than 8, or less than -8.

This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.

Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!

Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)

The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.

We've proven that this solution is accurate for both parts, so it is definitely the one we want!

Hope this helps!

4 0
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9u

Step-by-step explanation:

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dolphi86 [110]

Smaller Angle: 49 degrees

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Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:

x + y = 180 (showing they both add up to 180)

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We can use the substitution method to solve. Since the second equation ends in  "= y" we can substitute the value of it into y for the first equation.

x + y = 180; x + 82 = y  ==> x + (x + 82) = 180

And now, solve for x:

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So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.

So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!

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Step-by-step explanation:

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