Three new roommates each pay toward the rent and groceries. allison agrees to pay 35% of the costs, and betsy agrees to pay 0.4 of the costs. caroline will pay the remaining balance. their first payment was $1,160, and their first grocery bill was $130. caroline claims the she owes $322.50 toward theses two costs. is her claim correct?

She is correct

Step-by-step explanation:

The total amount the three roommates must pay is $1,160+$130= $1,290

Allison must pay:

$1,290*0.35= $451.5

Betsy must pay:

$1,290*0.4= $516

Both Allison and Betsy payments sum: $967.5

Caroline must pay: $1,290-$967.5= $322.5

She is correct because she agreed to pay the remaining balance, which in this case is $322.5

d.192

step-by-step explanation:

12*16=192

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions