ANSWER THESE SHOW YOUR WORK OR THINKING PROCESSES

Question

which equation is true when k+ -15
F 3k-11= -34
G -53+4k=7
H k/3+17= 12
J k/5+2.5=0.5

Answer 1

To determine which equation is true when \( k = -15 \), we can substitute \( k \) into each equation and see which one is satisfied.

Checking each equation:

F: \( 3k - 11 = -34 \)

1. Substitute \( k = -15 \): \[ 3(-15) - 11 = -34 \]
2. Calculate: \[ -45 - 11 = -34 \] \[ -56 \neq -34 \text{ (False)} \]

G: \( -53 + 4k = 7 \)

1. Substitute \( k = -15 \): \[ -53 + 4(-15) = 7 \]
2. Calculate: \[ -53 - 60 = 7 \] \[ -113 \neq 7 \text{ (False)} \]

H: \( \frac{k}{3} + 17 = 12 \)

1. Substitute \( k = -15 \): \[ \frac{-15}{3} + 17 = 12 \]
2. Calculate: \[ -5 + 17 = 12 \] \[ 12 = 12 \text{ (True)} \]

J: \( \frac{k}{5} + 2.5 = 0.5 \)

1. Substitute \( k = -15 \): \[ \frac{-15}{5} + 2.5 = 0.5 \]
2. Calculate: \[ -3 + 2.5 = 0.5 \] \[ -0.5 \neq 0.5 \text{ (False)} \]

Conclusion:

The only equation that holds true when \( k = -15 \) is H: \( \frac{k}{3} + 17 = 12 \).

Answer 2

make it shorter

Answer 3

Let's quickly check each equation by substituting \( k = -15 \):

F: \( 3k - 11 = -34 \)

\[ 3(-15) - 11 = -45 - 11 = -56 \quad (\text{False}) \]

G: \( -53 + 4k = 7 \)

\[ -53 + 4(-15) = -53 - 60 = -113 \quad (\text{False}) \]

H: \( \frac{k}{3} + 17 = 12 \)

\[ \frac{-15}{3} + 17 = -5 + 17 = 12 \quad (\text{True}) \]

J: \( \frac{k}{5} + 2.5 = 0.5 \)

\[ \frac{-15}{5} + 2.5 = -3 + 2.5 = -0.5 \quad (\text{False}) \]

Conclusion:

H is the only true equation when \( k = -15 \).