Answer:
B, A, C
Step-by-step explanation:
The size of the angle is directly proportional to the length of the side
Let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.
The total pounds is 50, therefore
x + y + z = 50 (1)
The total cost is $6.60 per pound for 50 pounds of mixture.
The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
3x + 10y + 9z = 340 (2)
There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10 (3)
Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40 (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310 (5)
From (4),
z = 40 - 2y (6)
Substitute (6) into (5).
13y + 9(40 - 2y) = 310
-5y = -50
y = 10
z = 40 - 2y = 40 - 20 = 20
x = y + 10 = 20
Answer:
Peanuts: 20 pounds
Cashews: 10 pounds
Brazil nuts: 20 pounds
Answer:
DF = 7.5
Step-by-step explanation:
Since the 3 sides are congruent, then
EF = DE , that is
4.5m - 42 = 1.5m - 9 ( subtract 1.5m from both sides )
3m - 42 = - 9 ( add 42 to both sides )
3m = 33 ( divide both sides by 3 )
m = 11
Thus
DE = 1.5m - 9 = 1.5(11) - 9 = 16.5 - 9 = 7.5
Then
DF = 7.5
Should be 24 cm, for side length of NO
We know that the building is 256.25 m long and that a ratio is 25 meters to 1 inch.
We have to divide the length of a building to 25:
256.25 : 25 = 10.25
Answer: The building will be 10.25 inches long in the sketch.
