Answer:
56.25 pound of the coffee that costs $5 per pound is needed
18.75 pound of the coffee that costs $9 per pound is needed
Step-by-step explanation:
Let the number of pounds be x and y respectively
The total pounds is 75;
So;
x + y. = 75 •••••••(i)
Total cost of first type
9 * x = $9x
Total cost of second type;
5 * y= $5y
75 pound at $6 per pound; total cost of this is;
6 * 75 = $450
Thus;
9x + 5y = 450 ••••••••(ii)
From i, x = 75-y
Put this into ii
9(75-y) + 5y = 450
675 -9y + 5y = 450
4y = 675-450
4y = 225
y = 225/4
y = 56.25
x = 75 - y from i
x = 75-56.25
x = $18.75
Answer:
\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]
Step-by-step explanation:
The first one.
The square is 130 in squared and the other shape is 54 in squared. If you're looking for the sum of the whole thing, its 185 in squared.
square: 13*10=130
triangle: 7*4= 28/2=14
rectangle: 10*4=40
Answer:
There are 400 possible zip codes in the Houston area
Step-by-step explanation:
Here, we want to calculate the possible number of zip codes in the Houston area
We have 5 digits to form
77 is the first two digits ( this is fixed)
For the third digit, we are selecting 1 number out of 0,3,4 or 5
This means 4 C 1
The remaining digits can be any digits
We have 0-9, a total of 10 digits
The first will be 10 C 1 and the second last digit too is 10 C 1
So the number of possible zip codes will be;
4 C 1 * 10 C 1 * 10 C 1
= 4 * 10 * 10 = 400 possible zip codes
under a rotation about the origin of 180°
a point (x, y ) → (- x, - y )
hence D is correct, both the x and y coordinates of the points on ΔA'B'C' have opposite signs from the corresponding points on ΔABC
