Let's solve your equation step-by-step.
2.5(6x−4)=10+4(1.5+0.5x)
Step 1: Simplify both sides of the equation.
2.5(6x−4)=10+4(1.5+0.5x)
(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)
15x+−10=10+6+2x
15x−10=(2x)+(10+6)(Combine Like Terms)
15x−10=2x+16
15x−10=2x+16
Step 2: Subtract 2x from both sides.
15x−10−2x=2x+16−2x
13x−10=16
Step 3: Add 10 to both sides.
13x−10+10=16+10
13x=26
Step 4: Divide both sides by 13.
13x
13
=
26
13
x=2
Answer:
x=2
A) 40 out of 100 are red.
The probability would be 40/100, which reduces to 2/5
B) 40 out of the 100 are purple.
The probability would be 40/100, which reduces to 2/5
C) the two probabilities are the same.
The equation can be made by:
Letting x be the price of each tshirt sold
Y be the cost of washing cars
So the equation 1:
292.50 = 15x + 12y
Then the equation 2 is for this week:
<span>747.50 = 45x + 10y</span>
Steps in constructing a circumscribed circle on a triangle using a just a compass and a straight edge.
1) construct a perpendicular bisector of one side of ΔRST.
2) construct another perpendicular bisector of another side of ΔRST
3) the point where the two bisectors intersect will be the center of the circle.
4) place the compass on the center point, adjust its length to ensure that any corner of the triangle will be reached and draw the circumscribed circle.
