By working with the given linear equation we will see that:
a) n = (d + 2)/4
b)
- A 3-penny nail is_5/4_inches.
- A 6-penny nail is_2_inches.
- A 10-penny nail is_3_inches.
<h3>
How to solve the equation for n?</h3>
Here we have the linear equation:
d = 4n - 2
We want to solve it for n, it means that we need to isolate n in one side of the equation.
If we first add 2 in both sides of the equation, and then we divide both sides by 4, we will get:
d + 2 = 4n
(d + 2)/4 = n
That is the equation solved for n.
b) The penny size is d, and n is the length of the nail, then:
if d = 3, we have:
n = (3 + 2)/4 = 5/4
if d = 6, then:
n = (6 + 2)/4 = 2
if d = 10, then:
n = (10 + 2)/4 = 3
Thus:
- A 3-penny nail is_5/4_inches.
- A 6-penny nail is_2_inches.
- A 10-penny nail is_3_inches.
if you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
This may not be entirely satisfied proof but you should get the idea.
Proof: Start with 1 = -1.
Then we know that if a= b then a + c = b + c and also a / c = b / c.
So we can add 1 to both sides.
We have 1 + 1 = -1 + 1 ⇒ 2 = 0.
Now divide both sides by 2 and we would have 1 = 0.
Now add both sides by 1. This yields 2 = 1.
Therefore if 1 = -1 then 2 = 1.
QED
Answer:
Step-by-step explanation:
1.
x/50= 84/100
x= 4200/100
x= 42
Needed to score a 42/50 to get an 84%
2.
x/75 = 96/100
x= 7200/100
x= 72
Needed to score a 72/75 to get a 96%
Answer:
(B)The equation has one solution: x = 0.
Step-by-step explanation:
The equation Kate is solving is: 
Therefore, the equation has one solution: x = 0.
