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3 years ago

96=-8k solve Show work

Mathematics

2 answers:

Lisa [10]3 years ago

6 0

Answer:Simplifying

96 = -8k

Solving

96 = -8k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '8k' to each side of the equation.

96 + 8k = -8k + 8k

Combine like terms: -8k + 8k = 0

96 + 8k = 0

Add '-96' to each side of the equation.

96 + -96 + 8k = 0 + -96

Combine like terms: 96 + -96 = 0

0 + 8k = 0 + -96

8k = 0 + -96

Combine like terms: 0 + -96 = -96

8k = -96

Divide each side by '8'.

k = -12

Simplifying

k = -12

Step-by-step explanation:

larisa86 [58]3 years ago

3 0

Answer:

$k = -12$

Step-by-step explanation:

Step 1: Divide both sides by -8

$96 / -8 = -8k / -8$

$-12 = k$

Answer: $k = -12$

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2 years ago

A mixture of 40 pounds of nuts costs $1.30 per pound and consists of peanuts worth $1.20 per pound and cashews worth $1.70 per p

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3 years ago

Solve and show all work |2×+3| -6=11

mash [69]

Answer:

x = -10; x = 7

Step-by-step explanation:

|2x + 3| - 6 =11

Add 6 to each side.

|2x + 3| = 17

Apply the absolute rule: If |x| = a, then x = a or x = -a.

(1) 2x + 3 = 17 (2) 2x + 3 = -17

Subtract 3 from each side

2x = 14 2x = -20

Divide each side by 2

x = 7 x = -10

Check:

(1) |2(7) + 3| - 6 = 11 (2) |2(-10) + 3| - 6 = 11

|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11

|17| - 6 = 11 |-17| - 6 = 1 1

17 - 6 = 11 17 - 6 = 11

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3 years ago

Solve the equation 3/4x+3-2x = -1/4+1/2x+5

elena55 [62]

Hi there! The answer is x = -1

Let's solve this equation step by step!
$\frac{3}{4} x + 3 - 2x = - \frac{1}{4} + \frac{1}{2} x + 5$

First collect terms.
$- 1 \frac{1}{4} x + 3 = \frac{1}{2} x + 4 \frac{3}{4}$

Subtract (1/2)x from both sides.
$- 1\frac{3}{4} x + 3 = 4 \frac{3}{4}$

Subtract 3 from both sides.
$- 1\frac{3}{4} x = 1 \frac{3}{4}$

And finally divide by -1 3/4
$x = \frac{7}{4} \div - \frac{7}{4} = \frac{7}{4} \times - \frac{4}{7} = - \frac{28}{28} = - 1$