Answer:
$27
Step-by-step explanation:
In this question, we are asked to calculate how much spent on some number of students in a bookstore where books were being signed by an author. We proceed as follows:
To calculate the amount she budgeted, there are different approach we can take. We can calculate the amount she has to pay for the signing at the old price. Then, we calculate the amount of money she has to pay on discounting the fees. We then subtract the values to arrive at the total value she has spent.
Firstly, we calculate the total amount of money to be spent on the students based on his budget. He had budgeted 1.15, then the total amount budgeted would be 30 * 1.15 = $34.5
Now we are made to know that she spent 0.25 less. Thus, the total amount spent less would be 30 * 0.25 = $7.5
The actual amount thus spent is $34.5 - $7.5 = $27
He spent a total of $27 on 30 students
Answer:
The ratio of the area of triangle XBY to the area of triangle ABC is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its areas is equal to the scale factor squared
In this problem
Triangles XBY and ABC are similar, because the corresponding internal angles are congruent
see the attached figure to better understand the problem
step 1
Find the scale factor
Let
z-------> the scale factor

we have


substitute

step 2
Find the ratio of the area of triangle XBY to the area of triangle ABC
Remember that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
we have
-----> scale factor
so

Sorry, but you did not ask any valid question, so I cannot help you figure out an answer.