Answer:
The number of pounds of cashew is 11
Step-by-step explanation:
Let P represent the peanut
Let C represent the cashew nut.
From question, we were told that Elijah brought a total of 16 pounds of peanuts and cashew nuts. This can be written as:
P + C = 16 (1)
The total cost = $49.50
Cost per peanut = $2.75
Cost per cashew = $3.25
The above can be represented as:
49.50 = 2.75P + 3.25C. (2)
From equation 1,
P + C = 16
P = 16 — C
Substitute the value of P into equation 2:
49.50 = 2.75P + 3.25C.
49.50 = 2.75(16 — C) + 3.25C
49.50 = 44 — 2.75C + 3.25C
49.50 = 44 + 0.5C
Collect like terms
49.50 — 44 = 0.5C
5.5 = 0.5C
Divide both side by 0.5
C = 5.5/0.5
C = 11
Therefore, the number of pounds of cashew is 11
Answer: 75
Step-by-step explanation:
15 divided by 4 is 3.75
3.75x5=18.75
18.75x4=75
Answer:
x=17
Step-by-step explanation:
First, Isolate the variable x by transposing it.
24-3x=-27
-3x=-27-24
Add the equation.
-3x=-51
Simplify x by multiplying both sides by 1/-3.
-3x/-3= -51/3
x=17
Answer:
-3
Step-by-step explanation:
I assume the graph is the one attached.
Comparing the points on each curve, f(x) is translated down 3 units and right 5 units to get g(x). Therefore, the equation of g(x) is:
g(x) = (⅓)ˣ⁻⁵ − 3
So k = -3.