Couch: 2x
love seat: 2x+400
chair: x
total amount: $1565
2x+2x+400+x=1565
5x+400=1565
5x=1165
x= 233
The cost of the chair is $233. The cost of the couch is $466. The cost of the love seat is $866.
Hope this helps!
Answer:
b) (4,-3) good luck with the rest
The current when the resistance is 10 ohms is 24 amps
<h3>What are variations?</h3>
Variations are simply data that change in values (i.e. not constant)
<h3>Types of variation</h3>
The types of variations are:
- Direct variation
- Inverse variation
- Joint variation
- Combine variation
From the complete question (see attachment), we have the following highlights
- The variation is an inverse variation
- When current (I) is 30 amps, the resistance (R) is 8 ohms
An inverse variation is represented as:

Where k represents the constant of variation.
The above equation can be rewritten as:

So, we have:


When the resistance is 10 ohms, we have:

Divide both sides by 10

Rewrite the above equation as:

Hence, the current when the resistance is 10 ohms is 24 amps
Read more about inverse variation at:
brainly.com/question/1327394
Answer: (y − 0) = -(1/6)(x − 6) or y=-(1/6)(x-6)
Step-by-step explanation:
An equation in Point Slope form: y − y1 = m(x − x1), where m is the slope and x1 and y1 are provided as a single point, (x1,y1). We have slope(m) = -(1/6) and are given (6,0). Therefore:
(y − 0) = -(1/6)(x − 6) (Point slope form)
y = -(1/6)(x-6)
Rewriting this into standard form, y = mx + b
y = -(1/6)x + 1