Katherine went to the store to buy some almonds. The price per pound of the almonds is $3 per pound and she has a coupon for $1.50 off the final amount. With the coupon, how much would Katherine have to pay to buy 4 pounds of almonds? Also, write an expression for the cost to buy p pounds of almonds, assuming at least one pound is purchased.

$10.50

Step-by-step explanation:

3 x 4 = $12

$12 - $1.50 = $10.50

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.