70. Bobbie wants to make 2.00 dollars using dollars with the value of half dollars and quarters. Now, how many way he can do it?
=> half dollars = 0.5
=> quarter dollars = 0.25
Possible ways:
=> 0.5 + 0.5 + 0.5 + 0.5 = 2 dollars (4 half dollars)
=> .25 + .25 + .25 +. 25 + .25 + .25 + .25 + .25 = 2 dollars (8 quarter dollars)
=> 0.5 + 0.5 + 0.25 + 0.25 + 0.25 + 0.25 = 2 dollars
=> 0.5 + 0.5 + 0.5 + 0.25 + 0.25 = 2 dollars
=> 0.5 + 0.25 + .25 + .25 + .25 + .25 + .25 = 2 dollars
To answer this item, we take the differential of the equation and equate to zero.
C(x) = 0.8x² - 256x + 25939
Differentiation,
dC(x) = 1.6x - 256
dC(x) = 1.6x - 256 = 0
The value of x from the derived equation above is 160.
Thus, the number of machine to be made in order to minimize the cost should be 160.
Answer:
m∠P=140°
Step-by-step explanation:
Given:
∠P and ∠Q are supplementary angles.
The measure of angle P is five less than four times the measure of angle Q.
To find m∠P
Solution:
The measure of angle P can be given as:
A) 
And
B) 
[Definition of supplementary angles]
Substituting equation A into B.
Solving for 
Using distribution:
Simplifying by combining like terms.
Adding 20 to both sides.
Dividing both sides by 5.
Substituting in equation B.
Subtracting both sides by 40.
Thus, we have:
m∠P=140° (Answer)
Answer:
The discriminant b2−4ac < 0, the equation has no real number solutions, it has complex solutions
Step-by-step explanation:
9x² - 4x + 1 = 0 ax² + bx + c = 0
The discriminant: b² - 4ac = (-4)² - 4*9*1 = 16 - 36 = -20
b2−4ac < 0, the equation has no real number solutions, it has complex solutions
<h3>
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>
➷ Split 30 into the ratio 2 : 3
12 : 18
12 / 18 + x = 1/5
Cross multiply:
12(5) = 1(18 + x)
60 = 18 + x
Subtract 18 from both sides:
x = 42
42 girls entered the classroom
<h3><u>
✽</u></h3>
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
