Someone to help me with these math problems please !!!

square tables

round tables

12

Step-by-step explanation:

is this really that difficult ?

just think logically.

a square table sits 8 people. that means every square table "stands" for 8 people present.

a round table sits 6 people. so, every round table "stands" for 6 people present.

now, the whole party has 150 people.

that means the sum of all people on all tables is 150.

so, if we count all square tables, we know how many people are sitting at square tables, as each table "stands" for 8 people (we multiply the number of square tables by 8).

similar for the round tables.

so, we say we have x square tables and y round tables.

therefore the equation is

150 = 8×x + 6×y

the variable with the factor 8 must be describing the square tables (due to the reasons above).

that is x.

and the variable with the factor 6 must describe the round tables.

that is y.

now we are told that there are 9 round tables (y=9).

using the equation from above

150 = 8×x + 6×9 = 8×x + 54

96 = 8×x

x = 12

so, we must have 12 square tables to satisfy the condition that we have in total 150 people present.

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

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.