Question

d. 6x + 12 = 9

1. select all the equations that have the same solution as the equation 3x - 12 = 24

a 15x - 60 = 120
b. 3x = 12
c 3x = 36
d x - 4 = 8
e. 12x - 12 = 24

1. jada has a coin - jar containing n nickels and d dimes worth a total of $3.65. the equation 0.05n + 0.1d = 3.65 is one way to represent this situation.

which equation is equivalent to the equation 0.05n + 0.1d = 3.65?
a. 5n + d = 365
b. 0.5n + d = 365

Explanation:

Step1: Solve the equation $3x - 12=24$

Add 12 to both sides: $3x-12 + 12=24 + 12$, so $3x=36$. Then divide both sides by 3: $x = 12$.

Step2: Check option A

For $15x-60 = 120$, add 60 to both sides: $15x-60+60=120 + 60$, so $15x=180$. Divide both sides by 15: $x = 12$.

Step3: Check option B

For $3x = 12$, divide both sides by 3: $x = 4
eq12$.

Step4: Check option C

For $3x=36$, divide both sides by 3: $x = 12$.

Step5: Check option D

For $x - 4=8$, add 4 to both sides: $x-4 + 4=8 + 4$, so $x = 12$.

Step6: Check option E

For $12x-12 = 24$, add 12 to both sides: $12x-12+12=24 + 12$, so $12x=36$. Divide both sides by 12: $x = 3
eq12$.

Step7: Solve the coin - jar equation equivalence

For the equation $0.05n+0.1d = 3.65$, multiply each term by 100 to get rid of decimals. $(0.05n\times100)+(0.1d\times100)=3.65\times100$, so $5n + d=365$.

Answer:

1. A. $15x - 60 = 120$, C. $3x = 36$, D. $x - 4 = 8$
2. A. $5n + d = 365$