Josh has a $250 gift card to Under Armour. He plans to buy as many pairs of shorts as he
can. The cost of each pair is $22.50. There is also
a single shipping charge of $6.50. How many
pairs of shorts can he afford without spending
more than his gift card amount? Write the
inequality, then solve, and state your answer.

8 pairs

Step-by-step explanation:

250/29 = 8.6

so 8 is the answer cause you probably can't cut them in half

10 pairs

22.50x+6.50<_250

Step-by-step explanation:

If you do 22.50 times 10 you get 225 then you add 6.50 which would give you 231.50. You cant add any more pairs of shoes because you would go over the $250 limit. For example if you added 22.50 one more time you would be at 254. Therefore it would be 10 pairs of shoes.

853.3

step-by-step explanation:

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough