B and C are the right answers since you don't want to mix colors
The current area is 15 x 9 = 135 square feet.
He wants to increase both the length and width by X:
Set up an equation:
(15 +x) * (9 +x) = 135 * 2
Simplify :
x^2 + 24x + 135 = 270
Subtract 270 from both sides:
x^2 + 24x - 135 = 0
Use the quadratic formula to solve for x:
-24 +/- √(24^2 - 4(1*-135) / 2*1
x = 4.7 or -28.7
The answer has to be a positive value, so x = 4.7 feet.
distance = 500 feet
Since Δ VWX and Δ YZX are similar then the ratios of corresponding sides are equal, that is
= 
= 
completing the required values gives
= 
( cross- multiply )
60l = 30 × 100 = 3000 ( divide both sides by 60 )
l = 500
distance across the swamp is 500 feet
Answer:
Step-by-step explanation:
Let M = total amount of money earned
M = 12x+8y
To make more than $190, the equation is:
190<12x+8y
Since Trevor is going to scoop ice cream for 20 hours, the equation is:
190<12x+8(20), which simplifies to 190<12x+160.
Isolate x to find the amount of hours that Trevor needs to tutor.
190-160<12x
30<12x
30/12<x
2.5<x
Trevor must tutor for more than 2.5 hours to make more than $190.
Answer:
126
Step-by-step explanation:
Let x be the missing length
The triangles are similar:
● UE/140 = 45/x
From the graph we deduce that:
● UE = 140 - 90 = 50
Replace UE by its value
● 50/ 140 = 45/x
Switch x and 50
● x / 140 = 45/50
45/50 is 9/10 wich is 0.9
● x/140 = 0.9
Multiply 0.9 by 140
● x = 140 × 0.9
● x = 126
