At a bargain store, tanya bought 3 items that each cost the same amount. tony bought 5 items that each cost the same amount, but each was $1.50 less than the items that tanya bought. both tanya and tony paid the same amount of money. what was the individual cost of each person's items?

Step-by-step explanation:

First we create an equation to represent the problem.

3(X) = 5(X - $1.50

Next we distribute the term 5 on the right side.

3(X) = 5(X) - $7.50

Add $7.50 to each side and simplify.

3(X) + $7.50 = 5(X)

Now subtract 3(X) from both sides and simplify.

$7.50 = 2(X)

Divide both sides by 2 and simplify.

$3.75 = X

This is the price of one of Tanya's items. Subtract $1.50 to see Tony's item price.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.