Answer: The system of equations that could be used to determine the number of small cups sold and the number of large cups sold is
6x + 18y = 780
y = 4x
Step-by-step explanation:
Let x represent the number of small cups that were sold.
Let y represent the number of large cups that were sold.
Each small cup holds 6 ounces of lemonade and each large cup hold 18 ounces of lemonade. Lincoln used 780 ounces. This is expressed as
6x + 18y = 780- - - - - - - - - - 1
Lincoln sold 4 times as many large cups as small cups. This is expressed as
y = 4x
Answer:
1. ∠LOQ = 80°
2. ∠LRQ = 40°
3. ∠LBQ = 40°
Step-by-step explanation:
- The measure of a central angle (angle that goes to the center of the circle) is EQUAL to the ARC from which it is intercepted.
- The measure of the angle that is on opposite side, on the circumference, of the circle is HALF of the ARC from which it is intercepted.
It is given that ARC QL has a measure of 80.
- Central angle from ARC QL (with same measure) are angle LOQ only.
- Opposite angles (half of measure of ARC QL) from ARC QL (on opposite side on circumference) are angles LRQ and LBQ.
<u>1.</u>
m∠LOQ: ∠LOQ is the central angle from ARC QL so it has SAME MEASURE.
∠LOQ = 80°
<u>2.</u>
m∠LRQ: ∠LRQ is the opposite angle from ARC QL so it is HALF of ARC QL.
∠LRQ =
∠LRQ = 40°
<u>3.</u>
m∠LBQ: ∠LBQ is also another opposite angle from ARC QL so it is HALF of ARC QL as well.
∠LBQ =
∠LBQ = 40°
<h3>
Answer:</h3>
f(x) = 11.93·1.42^x
<h3>
Step-by-step explanation:</h3>
I entered the data into a graphing calculator and made use of its exponential regression function to find the coefficients of ...
... y = a·b^x
It told me ...
... a ≈ 11.9304, b ≈ 1.41885
In accordance with the problem statement, these values are rounded to hundredths to get the answer.
_____
<em>Comment on the graph</em>
The given points and two curves are show. The solid red curve is the exponential regression curve produced by the calculator. The dotted blue curve is the one you get when you round the numbers to the nearest hundredth.