Answer:
t = 1.65(c)
Step-by-step explanation:
For 4 cookies = $6.60
For 1 cookie = $6.60/4 = $1.65
For t cookies = $1.65(c)
Equation:-
t = 1.65(c)
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
All 6 members of a family work. Their hourly wages (in dollars) are the following.
18, 14, 35, 34, 11, 26
Assuming that these wages constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
Answer:
x= 24, y= 33°
Step-by-step explanation:
MJ is part of the diameter of the circle and there is right angle between the diameter and HK
As the diameter and HK are perpendicular, HM=MK and mHJ= mJK
So,
and
Answer:
583 miles
Step-by-step explanation:
Let's draw this out (see attachment).
The straight line path creates the hypotenuse of a right triangle with legs of lengths 300 and 500. So, we use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:
a² + b² = c²
Here, a = 300 and b = 500. Then:
300² + 500² = c²
90000 + 250000 = c²
340000 = c²
c = √340000 ≈ 583.1 ≈ 583 mi
Thus, the answer is 583 miles.
<em>~ an aesthetics lover</em>
