Hello! I believe the Surface Area to a rectangular prism= 2(4x5+5x7+4x7). Let me know if i'm wrong. Anyways hope this helps!
Answer:
29 + 8x
Step-by-step explanation:
5 + 8(3 + x) by PEDMAS parentheses first
= 5 + 3(8) + x(8)
= 5 + 24 + 8x
= 29 + 8x
The grocer wants to make a 10 pound mixture
p - pounds of peanuts
c - pounds of cashews
therefore the total pounds should be equal to 10 pounds
p + c = 10 -----> 1)
the cost for ;
peanuts - 4.00 per pound * p pounds = 4p
cashews - 6.50 per pound * c pounds = 6.5c
the price of 10 pounds mixture = 4.75 per pound * 10 pounds = 47.5
4p+6.5c = 47.5 ---> 2)
to solve for p and c lets use simultaneous equations
p + c = 10 -----> 1)
4p+6.5c = 47.5 ---> 2)
multiply 1st equation by 4
4p + 4c = 40 ---> 3)
subtract 3rd equation from the 2nd
2.5c = 7.5
c = 3
substituting c= 3 in 1st equation
p+c = 10
p+3 = 10
p = 7
therefore 3 pounds of cashews and 7 pounds of peanuts are needed to make the mixture
9514 1404 393
Answer:
C. 0.98
Step-by-step explanation:
The attached graph shows the constraints. The feasible solution space is the doubly-shaded area in the first quadrant. The negative coefficients on x and y suggest that the objective function will be maximized when x and y are minimized. The solution space vertex that does that is ...
(x, y, Y) = (6, 4, 0.98)
True!
The surface area of a cylinder is:
SA = 2πr² + 2πrh
r = 1 in
h = 4 in
π = 3.14
SA = 2 * 3.14 * 1² + 2 * 3.14 * 1 * 4
= 6.28 + 25.12
= 31.4 in²
