Answer:
(2,16) , (1, 8)
Step-by-step explanation:
(-1,-7), x = -1 and y = -7
plug in
y = 8x
-7 = 8 * -1
-7 = -8, false
(2,16), x=2 and y = 16
plug in
y= 8x
16 = 8 * 2
16 = 16, so it is a solution
(1,8), x = 1 and y = 8
plug in
y = 8x
8 = 8 * 1
8 =8 , so it is a solution
(-2,-6), x = -2, y = -6
plug in
y = 8x
-6 = -2 * 8
-6 = -16, false
Answer:
the number of dreams that include people you know out of 28 is 21
Step-by-step explanation:
Here is the complete question:
It is believed that about 
of our dreams involve people that we know.
So the expression to describe the number of dreams that feature people you know if you have "d" dreams is:
Now using the above expression we can predict number of dreams that include people you know out of 28. Here 28 represents number of dreams i.e. "d". So expression becomes:
Now simplify the above expression:
= 
= 
= 
Hence the number of dreams that include people you know out of 28 is 21
Sum means addition so the equation is x+5=14
To get the answer, just do 14-5 and the answer is 9
<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:
Assuming the height is still 1 your answer would be 700
Step-by-step explanation:
