The total cost of an item including sales tax is directly proportional to its price. if the total cost of a $25 item is $25.75, what is the total cost on a $60 item?

$61.80

The proportion can be written ...

... total cost/price = $25.75/$25.00 = item cost/$60.00

Multiplying by $60, we get ...

... item cost = $60.00×25.75/25 = $60.00×1.03

... item cost = $61.80

Total cost = $61.8

Step-by-step explanation:

We know that the total cost of an item (including the sales tax) is directly proportional to its price so we can write is as:

Total cost ∝ price

To change this proportionality into an equality, we need a constant so it will be:

Total cost = k * price

Finding k when total cost is $25.75 and price is $25:

25.75 = k * 25

k = 1.03

Finding the total cost when price $60:

Total cost = 1.03 * 60

Total cost = $61.8

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

hello, there is a new name in town and that's the human spider!

answer: d.) the total number of protons and neutrons is 15

merry christmas!

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your friendly neighborhood human spider! .