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Alborosie
3 years ago
8

After the addition of an acid, a solution has a volume of 90 milliliters. The volume of the solution is 3 milliliters greater th

an 3 times the volume of the solution before the acid was added. What was the original volume of the solution?
Mathematics
1 answer:
11111nata11111 [884]3 years ago
6 0

Answer: 21.75\ milliliters

Step-by-step explanation:

Let be "x" the original volume of the solution (in milliliters) before the acid was added and "y" the volume of the solution (in milliliters) after the addition of the acid.

Set up a system of equations:

\left \{ {{x+y=90} \atop {y=3x+3}} \right.

Applying the Substitution Method, you can substitute the second equation into the first equation and then solve for "x":

x+y=90\\\\x+(3x+3)=90\\\\4x+3=90\\\\x=21.75

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3 years ago
Is x=4 a solution to the equation 6=x+2? Is it a solution to the inequality 2x≥9?
jek_recluse [69]

Answer:

Is x = 4 a solution to the equation 6 = x + 2? YES

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Step-by-step explanation:

Is x = 4 a solution to the equation 6 = x + 2? YES

we cans solve the equation 6=x+2 by clearing for x:

6 = x + 2

we move the +2 on the right as a -2 to the left:

6 - 2 = x

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this way we find that indeed x = 4 is a solution to 6 = x + 2.

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Let's solve the inequality by clearing for x:

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x ≥ 4.5   ⇒ <u>x must be greater than or equal to 4.5</u>

thus, <u>4 is not a solution to the inequality</u> because 4 is less than 4.5

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3 years ago
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