Of the students attending a school party, 60% of the students are girls, and 40% of the students like to dance. after these students are joined by 20 more boy students, all of whom like to dance, the party is now 58% girls. how many students now at the party like to dance?

252 students at the party like to dance

Step-by-step explanation:

Given:

60% of the students are girls

40% of the students like to dance

20 more boy students

Percentage of the girls in the party = 58%

To Find:

How many students now at the party like to dance=?

Solution:

Let the number of girls be g.

Let the number of total people originally be t.

We know that

----------------------------------(1)

We also know that

-----------------------------(2)

We now have a system of equation from (1) and (2)

3t=5g

------------------------(3)

50g=29t+580------------------------(4)

Substituting 3 in 4, we get

t =589

So originally there was 580 students

In this 580 students 40% liked to dance

Then the number of students liked to dance =

=>

=>

=>

=> 232

We also know that with these people, 20 boys joined, all of whom like to dance.

Now the number of students like to dance  = 232+20 = 252 students

2

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.