Answer:
the solution set is: x < 1
Step-by-step explanation:
Given that:
-6x+5>-1
We have to find solution for x so by simplifying:
Subtracting 5 from both sides we get:
-6x+5 - 5>-1 - 5
Both 5s on left side will be cancelled out:
-6x > -6
Dividing both sides by -6 will change the sign of inequality:
-6x/-6 < -6/-6
x < 1
So the solution set is: x < 1
i hope it will help you!
Yes it is because it’s parallel and it appear to be correct
Answer:

Step-by-step explanation:
The picture of the question in the attached figure
we know that
In the right triangle of the figure
----> by SOH (opposite side divided by the hypotenuse)
using a calculator

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