Answer:
The number of rows needed to provide seating for all teachers is 18.
Step-by-step explanation:
Here, the total number of guests expected to attend = 432 teachers
Now, given : The number of chairs placed in each row = 24
Let us assume , the total number of rows of chairs = m
Now, The total chairs in the conference room
= The number of rows x The chairs in each row
= 24 x (m) = 24 m
Also, the TOTAL CHAIRS = TOTAL GUEST EXPECTED
⇒ 24 m = 432
or, m = 432 / 24 = 18
or, m = 18
Hence, the number of rows needed to provide seating for all of the teachers is 18.
Answer:
a. (0.1,0.4)
Step-by-step explanation:
Answer:
Part 1) The length of the longest side of ∆ABC is 4 units
Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is 
Step-by-step explanation:
Part 1) Find the length of the longest side of ∆ABC
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
The ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
x ----> the length of the longest side of ∆ABC
y ----> the length of the longest side of ∆DEF
so

we have


substitute

solve for x


therefore
The length of the longest side of ∆ABC is 4 units
Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of ∆ABC
y ----> the area of ∆DEF

we have

so


therefore
The ratio of the area of ∆ABC to the area of ∆DEF is 
She sold 25 t-shirts cuz she made $75 and spent $25 which means she sold $100 worth of shirts which divided by $4 a piece is 25 t-shirts.