Answer:
Step-by-step explanation:
-1/4x>8
x>8/(-1/4)
x>(8/1)(-4/1)
x>-32/1
x>-32
x<-32
The answer is D.
--------------------------
-3t+7>=9
-3t>=9-7
-3t>=2
t>=2/-3
t>=-2/3
t<=-2/3
The answer is A.
Answer:

Step-by-step explanation:
Part 15) we know that

Solve for k
That means ----> isolate the variable k

we have


substitute


There are 2 parts to this question. 1. One would be to calculate the interest based on your balance and 2. then to add the late fee. Use the formula i = prt to calculate your simple interest. <em>i</em> represents the interest you will pay, <em>p</em> stands for the principal (balance on your credit card), and <em>t</em> stands for the period of time (related to a period of a year/annual percentage rate). The $1998 balance times 0.145 times 1/12 gives the interest amount of $24.14. So, $1998 + $24.14 + $37 = $2059.14 balance.
Answer:
x=5
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
6x−3−3x=3x+12−3x
3x−3=12
Step 2: Add 3 to both sides.
3x−3+3=12+3
3x=15
Step 3: Divide both sides by 3.
3x/3=15
x=5
Answer:
Step-by-step explanation:
The pillow is cylindrical. To determine the amount of fabric needed for the pillow, we would apply the formula for determining the total surface area of a cylinder which is expressed as
Total surface area = 2πr² + 2πrh
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
radius = 5 inches
Height = 18 inches
Therefore,
Area = (2 × 3.14 × 5²) + 2 × 3.14 × 5 × 18
Area = 157 + 565.2 = 722.2
Amount of fabric needed is
722.2 square inches