Answer:
Step-by-step explanation:
- Let (applicable to all three lines below)
- Hard candy = x kg with price $1.60/kg
- Gummy worms = y kg with price $2.20/kg
- Total weight = 50 kg with mixed price $1.75/kg
<u>Required equations:</u>
- x + y = 50 total weight
- 1.60x + 2.20y = 50*1.75 total price
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<u><em>Note</em></u><em>. It says don't solve but the solution below for those who is interested to know the answer.</em>
<u>Simplify the second equation and solve by substitution x = 50 - y:</u>
- 1.6(50 - y) + 2.2y = 87.5
- 80 - 1.6y +2.2y = 87.5
- 0.6y = 7.5
- y = 7.5/0.6
- y = 12.5
<u>Find the value of x:</u>
<u>Hard candy</u> = 37.5 kg and <u>gummy worms</u> = 12.5 kg
Answer: The length is 20.
Step-by-step explanation:
If UW is the line segment, then the length of VW and UV has to equal to the length of UW
VW = 6
UV = 14
6 + 14 = 20
Answer:
y = 12x - 37
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 12, thus
y = 12x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 36 + c ⇒ c = - 1 - 36 = - 37
y = 12x - 37 ← is the equation of the line
