Answer:
The nearest option is -3 (negative 3)
So, Option B is correct.
Step-by-step explanation:
We need to solve the inequality 
Solving:
Step 1: Switching sides of inequality and reversing the inequality
Step 2: Adding 4 on both sides
Step 3: Dividing both sides by -3 and reversing the inequality
The nearest option is -3 (negative 3)
So, Option B is correct.
Answer:
The bill excluding tax is $31.21 and the 20% tip was $6.24.
Answer
44
Step-by-step explanation:
R = C/(2*Pi).
So, in order to find the radius from the circumference, you use the formula R = C/(2*Pi). In other words, just divide the circumference by 2 times pi.
Answer:
2 m
Step-by-step explanation:
Here the area and the lengths of the two parallel sides of this trapezoid are given:
A = 7m^2, b1 = 3 m and b2 = 4 m. What's missing is the width of the trapezoid.
First we write out the formula for the area of a trapezoid:
b1 + b2
A = --------------- * w, where w represents the width of the figure.
2
We need to solve this for the width, w. Multiplying both sides of the above equation by
2
------------
b1 + b2
results in
2A
------------ = w
b1 + b2
Substituting 7 m^2 for A, 3 m for b1 and 4 m for b2 results in
2(7 m^2) 14 m^2
w = ------------------ = ---------------- = 2 m
(3 + 4) m 7 m
The missing dimension is the width of the figure. This width is 2 m.
The steps below are presented in order to arrive to the value of k of the given equation.
First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator. This will be,
(k + 12/ k)(k) = 8(k)
Then, we simplify,
k + 12 = 8k
We then, subtract 8k to both sides of the equation,
k - 8k + 12 = 8k - 8k
Simplifying,
-7k + 12 = 0
Then, subtract 12 from both sides of the equation and divide both sides by -7. This will us the final answer of,
k = 12/7
