Answer:
Weight of nuts = 6 pounds.
Weight of cereal squares = 6 pounds.
Step-by-step explanation:
Let the weight of nuts used in the trial mix to be x pounds and the weight of cereal squares used in the trial mix to be y pounds. Total weight of the mixture is 12 pounds. Therefore: x + y = 12. This implies y = 12 - x (Equation 1).
Cost of nuts per pound = $8 and cost of cereal squares per pound = $3. Cost of the mixture per pound = $5.5. Total mixture = 12 pounds. Since x pounds of nuts and y pounds of cereal squares are used, therefore: 8x + 3y = 5.5 * 12.
8x + 3y = 66. (Equation 2).
Put equation 1 in equation 2.
8x + 3(12 - x) = 66.
8x + 36 - 3x = 66.
5x = 30.
x = 6.
Put x = 6 in equation 1.
y = 12 - 6.
y = 6.
Therefore, the weight of nuts used in the trial mix will be 6 pounds and the weight of cereal squares used in the trial mix will be 6 pounds!!!
Answer:
1/10 units^3
Step-by-step explanation:
V=(Area of base)(height)
= 3/20 times 2/3
= 6/60
(simplified)= 1/10
Answer:
682?????? thats what i think
Step-by-step explanation:
Total Area: T.A.=2*Ab+Al
Area of the base: Ab=p*K
Semi-perimeter of the base: p
p=P/2
Perimeter of the base: P=20
p=P/2=20/2→p=10
Ab=p*k=10*K→Ab=10K
Lateral Area of the prism: Al
Al=P*h
Height of the prism: h=6
Al=P*h=20*6→
Al=120
T.A.=2*Ab+Al
T.A.=2*(10K)+120
T.A.=20K+120
T.A.=120+20K
Answer: (120+20K)
Answer:
5 : 7
Step-by-step explanation:
First figure surface a * a * 6 = 6 a^2
now scale the dimesion by x
ax * ax * 6 = 6 a^2 x^2
= 150 x^2 = 294
x^2 = 294/150
x = 7 : 5 is th ratio of the larger to the smaller