250 lunches are produced by the small business in last week.
<u>Step-by-step explanation:</u>
It is given that,
- y ⇒ the average cost per week.
- x ⇒ the number of lunches produced per week.
The function relating these two factors x and y is given as y = 2.1x + 75
- The cost of the last week is y = $600.
- The lunches made last week is x = unknown.
<u>To find the value of x :</u>
Substitute y= 600 in the given function,
⇒ 600 = 2.1x + 75
⇒ 2.1x = 600 - 75
⇒ x = 525 / 2.1
⇒ x = 250
Therefore, the lunches prepared last week is 250.
Answer:
First add 3 to each side
Then divide each side by 5
Step-by-step explanation:
5x - 3 = 12
First add 3 to each side
5x-3+3 = 12+3
5x = 15
Then divide each side by 5
5x/5 = 15/5
x = 3
Write the problem. ...
Decide whether to use addition or subtraction to isolate the variable term. ...
Add or subtract the constant on both sides of the equation. ...
Eliminate the coefficient of the variable through division or multiplication. ...
Solve for the variable.
Answer:
Step-by-step explanation:
<h3>Question 1</h3>
It is assumed the chords have equal length: PQ = SR
If the vertexes connected with the center, the both chords will form a right triangle, with the hypotenuse being the radius.
<u>Then the radius is found using Pythagorean theorem:</u>
- r =
= 
= 29
<h3>Question 2</h3>
<u>Use the intersecting secants theorem: and solve for x:</u>
- FS*FT = FP*FQ
- 4(4 + x) = 5(5 + 3)
- 16 + 4x = 40
- 4x = 24
- x = 6
