I'm doing the exact same one an i got 48 cubic units for the volume. I still have to draw the rectangular figure though.
We have expression
that renders the system of inequalities,
![\begin{cases}-5 < x - 4 \\x - 4 \geq 1\end{cases}](https://tex.z-dn.net/?f=%3C%2Fp%3E%3Cp%3E%5Cbegin%7Bcases%7D%3C%2Fp%3E%3Cp%3E-5%20%3C%20x%20-%204%20%5C%5C%3C%2Fp%3E%3Cp%3Ex%20-%204%20%5Cgeq%201%3C%2Fp%3E%3Cp%3E%5Cend%7Bcases%7D%3C%2Fp%3E%3Cp%3E)
Which can be simplified to,
![\begin{cases}x > -1 \\x \geq 5\end{cases}](https://tex.z-dn.net/?f=%3C%2Fp%3E%3Cp%3E%5Cbegin%7Bcases%7D%3C%2Fp%3E%3Cp%3Ex%20%3E%20-1%20%5C%5C%3C%2Fp%3E%3Cp%3Ex%20%5Cgeq%205%3C%2Fp%3E%3Cp%3E%5Cend%7Bcases%7D%3C%2Fp%3E%3Cp%3E)
So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,
.
Hope this helps.
<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
___
(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
Answer:
I believe the answer is $936.64
Step-by-step explanation:
I hope this helps!
Answer:
The name of the solid is cylinder.
Step-by-step explanation:
Draw a circle on top and another one on the bottom. Then draw 2 verticle lines so that your figure is a cylinder