Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg
Step-by-step explanation:
x = 55
I hope this is helpful
Answer:
B. DE = 58
Step-by-step explanation:
The base angles (<F and <E) of the ∆DEF are congruent/equal. This means that ∆DEF is an isosceles triangle.
This implies that, the two sides (DF and DE) that are opposite to the base angles are congruent/equal.
DE = 40 (given) => option B is INCORRECT
Therefore:
8x - 24 = 40
Solve for x
8x - 24 + 24 = 40 + 24
8x = 64
8x/8 = 64/8
x = 8 (option C is CORRECT)
Let's find DF and FE:
DF = 8x - 24
Plug in the value of x
DF = 8(8) - 24
DF = 64 - 24
DF = 40 (Option D is CORRECT)
FE = 6x + 10
FE = 6(8) + 10
FE = 48 + 10
FE = 58 (Option A is CORRECT)
The only incorrect statement is:
B. DE = 58
Answer:
16 cm shorter, 149 cm
Step-by-step explanation:
Answer:
3
2
−
8
−
3
Step-by-step explanation:
7
+
2
−
1
0
+
3
2
−
1
0
−
3
+
2
+
3
2
−
1
0
