Question:
Solve the inequality:
5.1 – r ≥ 5
Answer:
r ≤ 0.1
Solution:
Step 1: Given inequality:
5.1 – r ≥ 5
Step 2: Subtract 5.1 from both sides of the inequality
⇒ 5.1 – r – 5.1 ≥ 5 – 5.1
⇒ – r ≥ – 0.1
Step 3: To reverse the inequality, multiply both sides by –1.
⇒ (–r) × (–1) ≥ – 0.1 × (–1)
Negative × Negative = Positive
⇒ r ≤ 0.1
Hence the solution to the given inequality is r ≤ 0.1.
You collect the like terms and do -16-14 which is -30n
Answer:
$7.00
Step-by-step explanation:
The discount is 75% off. To answer this question, multiply n (the original price) by (1.00 - 0.75): 0.25n = $1.75.
Solving this for n, we get $7.00
This is a problem regarding permutation.
There are
6 different ways.
Area of this rectangular painting=lenght x width.
Data:
lenght=16 in.
width=12 in.
Area (rectangular painting)=16 in * 12 in=192 in².
x=width of the frame.
lenght of the frame=16+2x
width of the frame=12+2x
Perimeter of the painting and its frame=2(16+2x)+2(12+2x)
We can suggest this equation:
2(16+2x)+2(12+2x)=72
32+4x+24+4x=72
4x+4x=72-32-24
8x=16
x=16/8
x=2
Answer: the width of the frame is 2 in.