In the balance scale/equation analogy, what should you write in the blank on the right side of the equation in order to balance the scale for the following equation? 2(x + 1) = 2x + (x + 1)

4

x

2

Option D: 2 is the correct answer.

Step-by-step explanation:

Given equation is:

2(x + 1) = 2x +

For balancing the equation, the variables and constants must be same on both sides of the equation.

Simplifying 2(x+1) gives us 2x+2

As 2x is already there, we will add 2 with it in the equation.

Hence,

Option D: 2 is the correct answer.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.