Answer:
Option A.) 20 pounds of walnuts and 25 pounds of almonds is correct.
Step-by-step explanation:
i) let x be the the number of pounds of almonds
ii) let y be the number of pounds of walnuts
iii) therefore x + y = 45 pounds of the mixture
iv) 1.2x + 0.75y = 1.00 
45 = 45
v) Multipling equation in iv) by 4 we get
4.8x + 3y = 180
vi) multiplying equation in iii) by 3 we get
3x + 3y = 135
vii) subtracting equation vi) from equation v) we get 1.8x = 45
ix) therefore we get x = 45/1.8 = 25 pounds of almonds
x) therefore 25 + y = 45 .... substituting value of x from ix) in iii) we get
therefore y = 20 pounds of walnuts
Therefore option A.) 20 pounds of walnuts and 25 pounds of almonds is correct.
4. Normal body temperature is 98.6 degrees Fahrenheit, although it varies slightly for some people. Someone ?
Answer:
the answer is 15 subtract the highest number from the lowest
Consider f(x) = -4(x - 6)² + 3
This is a parabola with vertex at (6, 3).
Because the leading coefficient of -4 is negative, the curve opens downward, and the vertex is the maximum value.
Answer: Maximum of f(X) = 3
Consider the function g(x) = 2 cos(2x - π) + 4
The maximum value of the cosine function is 1.
Therefore the maximum value of g(x) is
2*1 + 4 = 6
Answer: Maximum of g(x) = 6
Since the volume of a rectangular prism is V=lwh, we can isolate for h to obtain that h=V/(lw).
So, for the first prism, the height is 117/(4*6.5) = 4.5
Similarly, for the second prism, the height is 175.5/(6.5 * 4) = 6.75
So, the difference in heights is 6.75-4.5=2.25 = 2 1/4 inches
