Answer:
x = 4.56
Step-by-step explanation:
57 + x + 25x + x = 180
27x + 57 = 180
27x = 123
x = 4.56
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3
Second part: when (6x + 2) is negative.
-(6x + 2) < 10 Divide both sides of inequality by -1 and change the sign.
(6x + 2) > -10
6x + 2 > -10
6x > -10 - 2
6x > -12 Divide both sides by 6.
x > -12/6
x > -2.
Combined solution: x < 4/3 and x > -2
-2 < x < 4/3.
Graph is a line on the number line between -2 and 4/3.
-2 and 4/3 are excluded from solution.
38 yard piece for each student and there are 16 students:
38*16=608
608 yards needed for your class
9514 1404 393
Answer:
24 m
Step-by-step explanation:
The area formula tells us ...
22 = xy . . . . . square meters
Adding twice this to the quadratic constraint gives ...
(x^2 +y^2) +2(xy) = (100) +2(22)
(x +y)^2 = 144
x +y = √144 = 12
The perimeter is double this amount, so is ...
P = 2(x +y) = 2(12) = 24 . . . . meters
Answer:
The inequality to determine how many hours Ms. Vicker must tutor to have enough money for the dress.
$600 + 10x ≥ $1200
Step-by-step explanation:
From the question, we are told that:
Ms. Vicker is trying to save enough money to buy her wedding dress at the cost of $1,200. She has $600 saved from her summer school job.
The amount to make up to complete her wedding dress = $1200 - $600
= $600
To make the rest of the money, Ms. Vicker plans to tutor for Sylvan at a cost of $10 per hour.
= Number of hours Ms vicker must tutor Sylvan to make $600 is calculated as:
$600/$10 = 60 hours
The inequality to determine how many hours Ms. Vicker must tutor to have enough money for the dress is written as
$600 + 10x ≥ $1200
