Answer:
A total of 200 students were present at the basketball game
Step-by-step explanation:
Refer to the full question shown in the attached figure
Let
x be the total number of fourth graders
y represent the total attendees at the game
It is known that
The number of game attendees is four times the number of fourth graders
Thus
The linear expression is
-----> equation A
-----> equation B
Replace equation B into equation A and solve for y
Therefore
200 students were present at the basketball event
The customer’s monthly bill approximately amounts to $35.70. By multiplying 35.70 by 0.70 (30% as a decimal), you find 24.99, which is the target amount he aims for now.
Answer:
Rotated 90° clockwise around the origin. (RO 90)
Step-by-step explanation:
Based on the information A(–3, 4) transitions to A'(4, 3), B(4, –5) becomes B'(-5, –4), and C(1, 6) shifts to C'(6, –1). This implies that a point represented as P(x, y) is transformed to P(y, -x) after rotation.
Therefore, if a point P(x, y) is transformed to P(y, -x), this occurs when the shape defined by these three points is rotated 90° clockwise around the origin.
$200 was the original amount before any discounts, and he paid $136.
Answer:
F(t) = 10 + 5(t)
Step-by-step explanation:
The complete question is as follows;
Anumeha is mowing lawns for a summer job. For each lawn she mows, she charges a $10 starting fee plus an hourly rate. For example, her fee for a 5-hour job is $35. Let f(t) denote Anumeha's fee for a job f (in dollars) based on how many hours (t) were needed to finish it. Write the formula for this function.
Solution
We aim to establish the formula F(t) representing the fee Anumeha charges per job.
Key to formulating this function is understanding the constant charge she applies per job.
We know she earns $35 for mowing for 5 hours.
Therefore, the constant fee can be deduced as follows;
Since it’s a $10 starting fee along with an hourly rate;
35 = 10 + 5(x)
where x refers to the hourly rate
35 = 10 + 5x
5x = 35-10
5x = 25
x = 25/5
x = $5
This indicates that she charges a constant fee of $5 per hour
Thus, we can now write the equation.
F(t) = 10 + 5(t)
where t represents the number of hours spent on each job
