Three times a number = 3x
Increased by 8 = + 8
So far we have: 3x + 8
no more than = <=
the number decreased by 4 = x -4
Put it all together and we have:
3x + 8 <= x - 4
Solve for x
3x + 8 <= x - 4
3x - x <= -4 - 8
2x <= -12
2x / 2 <= -12 / 2
x <= -6
-6 is the number / answer.
I suppose the integral is

The integration region corresponds to a sector of a cirlce with radius 5 subtended by a central angle of π/4 rad. We can capture this region in polar coordinates by the set

Then
,
, and
. So the integral becomes

Answer:
X=-2
Step-by-step explanation: x is negative 1/3 of y. We can tell because of this example so when you divide y=6 by negative 1/3 it makes -2!
Answer:
Raisins = 25 kg
Nuts = 15 kg
Step-by-step explanation:
Given that:
Kilograms of snack to be made = 40 kg
Price per kg would be $4.75kg.
Price of 40 kg would be = 4.75 * 40 = $190
Let,
x be the kilograms of raisins
y be the kilograms of nuts
According to given statement;
x+y=40 Eqn 1
4.00x+6.00y=190 Eqn 2
Multiplying Eqn 1 by 4
4(x+y=40)
4x+4y=160 Eqn 3
Subtracting Eqn 3 from Eqn 2
(4x+6y)-(4x+4y)=190-160
4x+6y-4x-4y=30
2y=30
Dividing both sides by 2

Putting y=15 in Eqn 1
x+15=40
x=40-15
x=25
Hence,
Raisins = 25 kg
Nuts = 15 kg