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Brilliant_brown [7]
3 years ago
15

What is the solution to the equation 2/3a-1/6=1/3

Mathematics
1 answer:
Vsevolod [243]3 years ago
4 0

Answer:

a = \frac{3}{4}

Step-by-step explanation:

\frac{2a}{3} -\frac{1}{6} =\frac{1}{3}

\frac{4a}{6}-\frac{1}{6}  =\frac{2}{6}

(now you can multiply the whole equation by 6 to remove the fractions

4a - 1 = 2

4a = 2+1

4a = 3

a = \frac{3}{4}

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URGENT PLEASE ANSWER THESE
Dimas [21]

Answer:

1A) 2 gallons of 20% solution and 3 gallons 15% solution needed

1B) 4 gallons of 20% solution and 1 gallons 15% solution needed

Step-by-step explanation:

1A) adding 20% salt and 15% water making 5 gallons of 17%

20% salt + 15% salt = 5 gallons of 17% salt

0.20x + 0.15(5 - x) = 0.17(5)

0.20x + 0.75 - 0.15x = 0.85

0.20x + 0.75 - 0.75 - 0.15x = 0.85 - 0.75

0.20x - 0.15x = 0.10

0.05x = 0.10

0.05x/ 0.05 = 0.10/0.05

x = 2 gallons (amount of 20% solution needed)

5 - x = 5 - 2 = 3 gallons (amount of 15% solution needed)

1B)

0.20x + 0.15(5 - x) = 0.19(5)

0.20x + 0.75 - 0.15x = 0.95

0.20x + 0.75 - 0.75 - 0.15x = 0.95 - 0.75

0.20x - 0.15x = 0.20

0.05x = 0.20

0.05x / 0.05 = 0.20/0.05

x = 4 gallons (amount of 20% solution needed)

5 - x = 5 - 4 = 1 gallons (amount of 15% solution needed)

Learn more about System of Equations here: brainly.com/question/12526075

4 0
2 years ago
Classify each as an expression or an equation.
fenix001 [56]

Answer:

1. equation

2. equation

3. expression

4. expression

explanation is that an equation has an equal sign and an expression doesnt .  

5. equation

Step-by-step explanation:

6 0
3 years ago
Plz help with math u will get Brainliest
emmasim [6.3K]

Answer:

Volume = 315 cm³

Step-by-step explanation:

Volume = Length × Width × Height

→ Substitute in the values

Volume = 6 cm × 3.5 cm × 15 cm

→ Simplify

Volume = 315 cm³

4 0
3 years ago
I'm not sure if I am right and just want to make sure I got the right answer
djyliett [7]

Answer:

The answer is 9

Step-by-step explanation:

The answer is 9

7 0
2 years ago
Solve the inequality and graph the solution<br> 4x-5&gt;7
ohaa [14]

Answer:

x > 3

interval notation: (3, ∞)

Step-by-step explanation:

Given the inequality statement: 4x - 5 > 7,

The goal is to isolate x and find its solution.

Start by adding 5 to both sides:

4x - 5 + 5 > 7 + 5

4x > 12

Divide both sides by 4:

4x/4 > 12/4

x > 3

The solution can also be expressed in the following interval notation:

(3, ∞).

In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.  

5 0
2 years ago
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