Answer:
(x, y) ≈ (2.848, -19.241)
Step-by-step explanation:
I find it much easier to work with the problem statement when math expressions are written using numbers and symbols. We assume you have ...
-4x +15y = -300
20x +4y = -20
Dividing the second equation by 4 and subtracting the x-term gives ...
y = -5-5x
Substituting that into the first equation, we get ...
-4x +15(-5-5x) = -300
-79x -75 = -300
x = -225/-79 = 2 67/79 ≈ 2.8481
Substituting this into the equation for y gives ...
y = -5(x +1) = -5(3 67/79) = -19 19/79 ≈ -19.2405
The approximate solution is ...
(x, y) = (2.8481, -19.2405)
Answer:
4
Step-by-step explanation:
(32 + x)/6=6
Answer:
The height of the pile is increasing at the rate of 
Step-by-step explanation:
Given that :
Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min
i.e 
we know that radius r is always twice the diameter d
i.e d = 2r
Given that :
the shape of a cone whose base diameter and height are always equal.
then d = h = 2r
h = 2r
r = h/2
The volume of a cone can be given by the formula:




Taking the differentiation of volume V with respect to time t; we have:


we know that:

So;we have:



The height of the pile is increasing at the rate of 
Answer:

$124 higher
Step-by-step explanation:
Given


Required
Represent the situation
Determine how much higher or lower is the remaining amount
Let the initial amount in his account be represented with x
When he deposited, the balance becomes

When he withdrew, the balance becomes

Hence, the algebraic expression is

Calculating how much higher or lower

Open bracket


Recall that the initial amount in the account is x
The difference between the balance and the x is as follows


<em>Hence, the account has a higher of $124 after both transactions</em>
Answer:
x =7 x = -7 2/3
Step-by-step explanation:
| 3x + 1 | =22
Absolute value equations have 2 solutions, one positive and one negative
3x+1 = 22 3x+1 = -22
Subtract 1 from each side
3x+1-1 =22-1 3x+1-1 = -22-1
3x= 21 3x = -23
Divide each side by 3
3x/3 = 21/3 3x/3 = -23/3
x =7 x = -7 2/3