The two equations are vertical angle, which would be equal to each other.
Set the equations to equal and solve for x:
5x -10 = 3x +40
Subtract 3x from both sides:
2x -10 = 40
Add 10 to both sides:
2x = 50
Divide both sides by 2:
x = 50 / 2
x = 25
The answer is B. 25
Answer:
2.617
Step-by-step explanation:
Answer:
(a)205
(b)5 Packages
Step-by-step explanation:
Therefore: 
Therefore, Volume of the lemonade Monica Started with is 
The diameter of the cup =8cm
Therefore, Radius =8/2 =4cm
Height of the Cup =11cm
Volume of a Cone=
The number of cups needed to empty the 10 gallon cooler =37850÷184.31
=205.36
Cups
(b)If the Cups are sold in packages of 50
Number of Package to be bought =205 ÷ 50 =4.1
She would need to buy 5 packages.
Answer:
0.6710
Step-by-step explanation:
The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.
Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 107 mm
σ is the population standard deviation = 5 mm
For x = 104 mm
z = 104 - 107/5
z = -0.6
Probability value from Z-Table:
P(x = 104) = 0.27425
For x = 115 mm
z = 115 - 107/5
z = 1.6
Probability value from Z-Table:
P(x = 115) = 0.9452
The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:
P(x = 115) - P(x = 104)
0.9452 - 0.27425
= 0.67095
Approximately = 0.6710
