(5,24)
Rectangle 1: side lengths 4 and (x+1)
y=4(x+1)= 4x+4
Rectangle 2: side lengths 3 and (2x-2)
y=3(2x-2)= 6x-6
4x+4=6x-6
-2x=-10, x=5
Option 1 with rectangle 1: y=4(5)+4, y=24
Option 2 with rectangle 2: y=6(5)-5, y=24
I graphed the linear equation on desmos.
Answer:
Nina would have total expenses and sales $156 after selling 4 necklaces.
Step-by-step explanation:
Let <em>x</em> represent the amount of necklaces made and sold.
The initial cost was $140 and it costs $4 to produce one necklace. Hence, the total cost after producing <em>x</em> necklaces can be represented as:
Each necklace sells for $39. Hence, the total profit after selling <em>x</em> necklaces can be represented as:
To break even, the total cost and profit must be equivalent. Hence:
Solve for <em>x: </em>
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Hence, the break even, Nina would need to sell four necklaces.
And the total expenses/profit would be:
In conclusion, Nina would have total expenses and sales $156 after selling 4 necklaces.
Given:
To find:
The missing length marked with a question mark.
Solution:
Let x be the missing value.
We have,
Corresponding sides of similar triangles are proportional, so
Using this, we get
On substituting the values, we get
On cross multiplication, we get
Therefore, the missing length is 56 units.