Each cupcake would have 3/40 of a pound of nuts since that is 10x smaller than the total they have so they could put that amount into 10 cupcakes.
The answer is 3/40
Answer:
b. (2, 5, 3)
Step-by-step explanation:
Trying the offered choices seems the fastest way to find the answer. The second choice works in all equations, hence is the solution.
Another strategy you can use is to see if the equations are dependent. Here, it looks like adding twice the third equation to the other two eliminates at least the x- and y-variables. If that eliminates z, then there are infinite solutions. Instead, it gives the equation ...
7z = 21
z = 3 . . . . . divide by 7
This answer is consistent with choice B, confirming that answer and eliminating the other choices.
Answer:
8fx=;x2-7x+12;x-4;6
Step-by-step explanation:
x2" was replaced by "x^2".
Answer:
2826 inches^2
Step-by-step explanation:
The general formula for the total surface area of a regular pyramid is
T.S.A.=12pl+B
Where p represents the perimeter of the base, l the slant height and B the area of the base.
The perimeter of the base is.
p=2L+2W
P=2*10+2*9
P=20+18
P= 38 inches
The area of the base is.
B=10*9
B=90in^2
T.S.A.=12(38)(6)+90
T.S.A=2736+90
T.S.A=2826 inches^2
Hence the paper needed is 2826 inches^2
Answer:
The parabola's axis of symmetry is x = -6
Step-by-step explanation:
Parabola general equation:
y = a*(x - r1)*(x - r2)
Equation given:
y = (-1/4)*(x + 2)*(x + 10)
a = -1/4
r1 = -2
r2 = -10
To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:
y = (-1/4)*(2+ 2)*(2 + 10) = -12
Then, point (2, 10) is not included in the parabola.
If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward
Axis of symmetry:
h = (r1 + r2)/2
h = (-2 + -10)/2 = -6
Then, The parabola's axis of symmetry is x = -6
To find Parabola's vertex, replace with the axis of symmetry:
y = (-1/4)*(-6 + 2)*(-6 + 10) = 4
Therefore, the parabola has a vertex at (-6, 4)
