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
Answer: 26xy-5
(x3y6)-2 + (x2y4)-3
(18xy)-2 + (8xy)-3
18xy -2 + 8xy - 3
26xy -5
Answer:
CM=20 and CP=12
Step-by-step explanation:
The given triangle ΔACM has the measurements as follows:
m∠C=90°, CP⊥AM, AC=15, AP=9, PM=16.
To Find: CP and CM
We can use Pythagoras theorem to calculate the sides CP and CM.
Pythagoras theorem gives a relation between hypotenuse, base and height/perpendicular of a right angled triangle which is as follows:

where h is hypotenuse of triangle, b is base and p is perpendicular of triangle.
The figure shows that in ΔACM is a right angled triangle at C where,
AM --> hypotenuse
CM --> base
AC --> height
So substituting values into formula:





, which is required answer.
Similarly, we can see that triangle ΔCPM is also a right angled triangle at P and thus Pythagoras theorem can again be applied to calculate CP. Since CM is the side opposite to right angle P, it is the hypotenuse.
So we have,





, which is required answer.
Answer:
4
Step-by-step explanation:
The 1/3 power is another way to write the cube root.
∛216 = 6