Colin starts with $8.50 in his bank account and saves $15.75 each week. James starts with $7.50 in his bank account and saves $15.75 each week. Will the two boys ever have the same amount in their savings accounts?

They will never have the same value on their savings accounts.

Step-by-step explanation:

In this case since Colin and James started with different values on their accounts and they save money at the same rate, they'll never have the same amount. This can be show in a mathematical form. For that we will express the money on their account through an equation, where "x" is the amount of money they have and "t" is the number of weeks that pass by.

For Colin we have:

x = 8.5 + 15.75*t

For James we have:

x = 7.5 + 15.75*t

In order for them to have the same money, the equations must be equal, so:

8.5 + 15.75*t = 7.5 + 15.75*t

15.75*t - 15.75*t = 7.5 - 8.5

0 = -1.5

Which is not a valid equation and therefore they'll never have the same savings on their accounts.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.