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Phoenix [80]
3 years ago
10

If x an integer and 2x +8 <22 and 3x >9, how many possible values of x are there?

Mathematics
2 answers:
11111nata11111 [884]3 years ago
6 0

Answer:

4, 5 and 6.

Step-by-step explanation:

2x + 8 < 22

2x < 14

x < 7.

3x > 9

x > 3.

So the possible  values if x is an integer are 4, 5 and 6.

koban [17]3 years ago
5 0

Answer:

3 values

Step-by-step explanation:

2x +8 <22 and 3x >9

Solve the two inequalities separately and then put them back together

2x +8 <22

Subtract 8 from each side

2x +8-8 <22 -8

2x < 14

Divide by 2

2x/2 < 14/2

x < 7

Then solve the second inequality

3x>9

Divide by 3

3x/3>9/3

x >3

Putting them back together

x>3 and x < 7

Since it has to be an integer

4,5,6  are possible choices

3 values

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3 years ago
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Alexxandr [17]

Answer:

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Step-by-step explanation:

we have

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substitute in the formula

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3 years ago
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AnnyKZ [126]

Answer:

54

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6 0
4 years ago
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How do I solve for -31 -8r = -3(5r -6)
Dennis_Churaev [7]
Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
8 0
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