Kyle's birthday party in 2007 cost $d$ dollars per person and $p$ people attended. in 2008, the cost per person doubled and the number of people attending the party also doubled. what is the ratio of the total cost of the party in 2007 to the total cost of the party in 2008?

The  ratio of the total cost of the party in 2007 to the total cost of the party in 2008  = 1: 4

Step-by-step explanation:

It is given that Kyle's birthday party in 2007 cost $d$ dollars per person and $p$ people attended.

Then , the total cost of the party =  Cost per person x  Number of people attended.

For 2007, Total cost = d x p = dp              (1)

In 2008, the cost per person doubled and the number of people attending the party also doubled.

i.e.  Cost per person = 2d

Number of people attended = 2p

For 2008, Total cost = 2d x 2p = 4dp        (2)

From (1) and (2) , the ratio of the total cost of the party in 2007 to the total cost of the party in 2008 will be :

Cancel pd from the numerator and the denominator , we get

Hence, the  ratio of the total cost of the party in 2007 to the total cost of the party in 2008  = 1: 4

answer: 1 + 1 = 11

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus