6p + 3p + 3 it needs to be simplified !!

find three consecutive even integers so that the twice the sum of the second and third is twelve less than six times the first

zysi [14]

n, n + 2, n + 4 - three consecutive even integers

the twice the sum of the second and third: 2[(n + 2) + (n + 4)]

twelve less than six times the first: 6n - 12

The equation:

2[(n + 2) + (n + 4)] = 6n - 12

2(n + 2 + n + 4) = 6n - 12

2(2n + 6) = 6n - 12 use distributive property

(2)(2n) + (2)(6) = 6n - 12

4n + 12 = 6n - 12 subtract 12 from both sides

4n = 6n - 24 subtract 6n from both sides

-2n = -24 divide both sides by (-2)

n = 12

n + 2 = 12 + 2 = 14

n + 4 = 12 + 4 = 16

<h3>Answer: 12, 14, 16</h3>

4 0

3 years ago

A Chemist needs to mix a 20% acid solution with a 50% acid solution to obtain 15 liters of a 34% acid solution. How many liters

Nuetrik [128]

8 litres (amount of 20% solution needed) and 7 litres for (amount of 50% solution needed)

Step-by-step explanation:

Let consider ‘x’ for 20% acid solution and (15 – x) for 50% acid solution. And so, the equation would be as below,

20% in x + 50% in (15 – x) = 15 litres of 34%

Convert percentage values, we get

0.20(x) + 0.50 (15 – x) = 15 (0.34)

0.20 x + 7.5 – 0.50 x = 5.1

-0.3 x + 7.5 = 5.1

0.3 x = 7.5 – 5.1

0.3 x = 2.4

$x = \frac{2.4}{0.3} = 8 litres (amount of 20 \% solution needed)$

Apply ‘x = 8’ value in (15 – x) we get,

15 – 8 = 7 litres

The value of 7 litres for (amount of 50% solution needed)

8 0

3 years ago

What are the solutions to the quadratic equation 98-x2=0

kifflom [539]

$98-x^2=0\qquad\text{add}\ x^2\ \text{to both sides}\\\\98=x^2\to x^2=98\\\\x=\pm\sqrt{98}\\\\x=\pm\sqrt{49\cdot2}\\\\x=\pm\sqrt{49}\cdot\sqrt2\\\\\boxed{x=-7\sqrt2\ \vee\ x=7\sqrt2}$

8 0

3 years ago

Explain three different ways on how to write a ratio table and provide an example of each.

grandymaker [24]

Answer:

look it up Answer:

Step-by-step explanation:

6 0

2 years ago

Please answer & answer quickly please

nadezda [96]

Answer:

-8p ≥ -56

=> p ≤ 7

Step-by-step explanation:

6 0

3 years ago