Answer:
(a) 
(b) correct choice is 2.5 lb peanuts and 2.5 lb mixture (2.5, 2.5);
Step-by-step explanation:
Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
1. In m pounds of the 80% almond-20% peanut mixture there are 0.8m pounds of almonds and 0.2m pounds of peanuts.
2. When added p pounds of peanuts to m pounds of mixture, you get (p+0.2m) pounds of peanuts and 0.8m pounds of almonds.
3. In 5 pounds of the 40% almond-60% peanut mixture there are 
pounds of peanut and 
pounds of almonds.
(a) Then you get a system of two equations:
(b) Solve this system. From the first equation
then
Answer:
Option b. 0.496
Step-by-step explanation:
we know that
The average rate of change is equal to
where
Substitute
The inequality is 8-1/4x>27. The solution of the inequality is b<-76.
Given that,
The inequality is 8-1/4x>27
We must determine how to address the inequity.
Take,
8-1/4x>27
Multiply the inequality's two sides by its lowest common denominator,
4×8-4×1/4b>27×4
Reduce the expression to the lowers term,
4×8-b>4×27
Calculate the product or quotient,
32-b>4×27
Calculate the product or quotient,
32-b>108
Rearrange unknown terms to the left side of the equation,
-b>108-32
Calculate the sum or difference,
-b>76
Divide the inequality's two sides by the variable's coefficient,
b<-76
Therefore, the solution of the inequality is b<-76.
To learn more about inequality visit: brainly.com/question/28823603
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Answer:
Just use a calculator
Step-by-step explanation:
It's easier :)
Answer:
{x,y} = {-2,2}
Step-by-step explanation:
Solve equation [2] for the variable y
7y = 7x + 28
y = x + 4
Plug this in for variable y in equation [1]
-8x + 4•(x +4) = 24
-4x = 8
Solve equation [1] for the variable x
4x = - 8
x = - 2
By now we know this much :
x = -2
y = x+4
Use the x value to solve for y
y = (-2)+4 = 2
Solution :
{x,y} = {-2,2}
and this intersects at only one point so your answer is A
