Answers:
(a) p + m = 5
0.8m = 2
(b) 2.5 lb peanuts and 2.5 lb mixture
Explanations:
(a) Note that we just need to mix the following to get the desired mixture:
- peanut (p) - peanuts whose amount is p
- mixture (m) - mixture (80% almonds and 20% peanuts) that has an amount of m; we denote this as
By mixing the peanuts (p) and the mixture (m), we combine their weights and equate it 5 since the mixture has a total of 5 lb.
Hence,
p + m = 5
Note that the desired 5-lb mixture has 40% almonds. Thus, the amount of almonds in the desired mixture is 2 lb (40% of 5 lb, which is 0.4 multiplied by 5).
Moreover, since the mixture (m) has 80% almonds, the weight of almonds that mixture is 0.8m.
Since we mix mixture (m) with the pure peanut to get the desired mixture, the almonds in the desired mixture are also the almonds in the mixture (m).
So, we can equate the amount of almonds in mixture (m) to the amount of almonds in the desired measure.
In terms mathematical equation,
0.8m = 2
Hence, the system of equations that models the situation is
p + m = 5
0.8m = 2
(b) To solve the system obtained in (a), we first label the equations for easy reference,
(1) p + m = 5
(2) 0.8m = 2
Note that using equation (2), we can solve the value of m by dividing both sides of (2) by 0.8. By doing this, we have
m = 2.5
Then, we substitute the value of m to equation (1) to solve for p:
p + m = 5
p + 2.5 = 5 (3)
To solve for p, we subtract both sides of equation (3) by 2.5. Thus,
p = 2.5
Hence,
m = 2.5, p = 2.5
Therefore, the solution to the system is 2.5 lb peanuts and 2.5 lb mixture.
The answer is A or the first on you might say, hopes this helps ya!
The evaluation of the expression, if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2 | 16 + 4 ( 3 q + p ) is 46.
<h3>How can the expression be simplified?</h3>
the given expression is t = − 2 | 16 + 4 ( 3 q + p )
Then since we are given m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5
Then, we can substitute all the given values of the terms into the given expression as :
t = − 2 | 16 + 4 ( 3 q + p )
t= -2 I 16+4(-18+2)
t= -2 I 16+4(-16)
t= -2 I 16 -64
t= -2 I -48
t =46
Read more about expression at:
brainly.com/question/723406
#SPJ1
So acting, eh?
you can walk 10 steps in 5 seconds
how many steps can you walk in 25 seconds?
(walk to test this thingie)
reasoning is 25 is 5 times 5 so 10 times 5=50 so 50 steps
