So we know there are 12 eggs and they will be distributed like this:
12=x2+y1
and 4 cups of flour:
4=1/3x+1/2y
let's see if we can find a solution in which all the materials are used:
12=x2+y1
4=1/3x+1/2y//*6
12=2x+y
24=2x+3y//*6
substract from each other:
12=2y
y=2
12=2x+y
12=2x+2
10=2x
x=5
So if nothing is wasted, he can make 5 blueberry muffins (making 12*5=60) and 2 bran muffins (2*9=18), together 78 dollars,
would it be better if instead of the bran muffins he did blueberry muffins (which are more expensive?)
for the branberry muffins he will used the double amount needed for 1: so 1 cup of oil and 2 eggs. From this he can only make 1 tray of blueberry muffins (and some oil will be left over), which will cost 12 dollars, which is less than 18
so he better make 6 blueberry and 2 bran trays
Answer:
The sides are 5,18,16
Step-by-step explanation:
To find the perimeter of a triangle, we add up all the sides
n +4n-2 + 5n-9 = 39
Combine like terms
10n -11 = 39
Add 11 to each side
10n-11+11 = 39+11
10n = 50
Divide by 10
10n/10 =50/10
n = 5
Now we need to find each side
n = 5
4n-2 = 4(5)-2 = 20-2 =18
5n-9 = 5(5) - =25-9 = 16
The sides are 5,18,16
So, The length is 8 cm longer than the width.
Area of a rectangle = l *w
48 cm^2 = l *w
l = w+8
48 cm^2 = w * w+8
48 = w^2 +8w
^ that's the equation that models it. Or any other one listed
Answer:
0.6625
Step-by-step explanation:
To find the surface area, calculate the area of each shape and add it together, A pyramid has 1 square and 4 triangles in its net,
Area of square is A=s*s=0.25*0.25=0.0625.
Area of a triangle is A= 1/2 b*h = 1/2 (0.25)(1.2) = 0.15.
There are four equal triangles so together there area is 4*0.15 = 0.60.
Add the square to it and you have the surface area of the pyramid.
0.0625 + 0.60 = 0.6625
Answer:
22
Step-by-step explanation: