Answer:
Step-by-step explanation:
Let y be the total charge and x no of hours spent for cutting the lawn,
Then for Allan we have the equation as
y = 8.50x+15
SInce 15 is the fixed charge and 8.50 is charged per hour we get the above equation for Allan.
Next similarly for Taylor, we have fixed charges 12 and variale 9.25
y =9.25x+12
When Taylor total charges is greater than Allan's total charge
we have 9.25x+12>8.5x+15
Simplify to get
0.75x>3
Or x>4
Whenever x i.e. no of hours exceed 4, Taylor charges will be greater than that of Allan
<span>Simplifying
3a2 + -2a + -1 = 0
Reorder the terms:
-1 + -2a + 3a2 = 0
Solving
-1 + -2a + 3a2 = 0
Solving for variable 'a'.
Factor a trinomial.
(-1 + -3a)(1 + -1a) = 0
Subproblem 1Set the factor '(-1 + -3a)' equal to zero and attempt to solve:
Simplifying
-1 + -3a = 0
Solving
-1 + -3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -3a = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -3a = 0 + 1
-3a = 0 + 1
Combine like terms: 0 + 1 = 1
-3a = 1
Divide each side by '-3'.
a = -0.3333333333
Simplifying
a = -0.3333333333
Subproblem 2Set the factor '(1 + -1a)' equal to zero and attempt to solve:
Simplifying
1 + -1a = 0
Solving
1 + -1a = 0
Move all terms containing a to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1a = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1a = 0 + -1
-1a = 0 + -1
Combine like terms: 0 + -1 = -1
-1a = -1
Divide each side by '-1'.
a = 1
Simplifying
a = 1Solutiona = {-0.3333333333, 1}</span>
Answer:
Fraction of the students in the 7th grade class carry a cell phone = 3/5
24 students carry a cell phone
Step-by-step explanation:
40 students in the 7th grade, 60% of the students carry a cell phone.
so 40 x 0.6 = 24 students carry a cell phone
24/40 = 3/5
Answer: I don’t know what options you have but I graphed it in the picture linked below
I think the answer is b 0.2(20)
