Which expressions are equivalent to the expression 4a – 6b + 3c? a + 3(a − 2b + 3c) 4a + 3(2b + c) 2(2a − 3b + c) + c 2(2a − 3b) + 3c nextreset

2(2a − 3b + c) + c

2(2a − 3b) + 3c

Step-by-step explanation:

Given expression is 4a - 6b + 3c

Now check with each option

a + 3(a − 2b + 3c)

Multiply 3 inside the parenthesis and combine like terms

a +  3a - 6b + 9c = 4a - 6b + 9c ( that is not our given expression)

4a + 3(2b + c)

Multiply 3 inside the parenthesis

4a + 6b + 3c (no negative sign)

2(2a − 3b + c) + c

Multiply 2 inside the parenthesis and combine like terms

4a - 6b +2c+c =4a - 6b + 3c  (That is our given expression)

2(2a − 3b) + 3c

Multiply 2 inside the parenthesis and combine like terms

4a - 6b +3c  (That is our given expression)

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

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.