The formula of the midpoint of PQ:
We have P(0; 0) and Q(2a; 0). Substitute:
2 x 3/4 is 1.5. 1.5 is less than 2. BOOM!
Let's look at the formula to solve the perimeter.
2l+2w=98
We know that l=6w
Let's put that into the equation.
2(6w)+2w=98
12w+2w=98
14w=98
98÷14=7
So the width is 7. Let's find the length.
Since the length is six times the width: 7×6= 42
So, the length is 42 while the width is 7. We need to find the area.
42×7=294
The area is 294 m².
Tell me if this helps!!
Let s be standard and h be high-quality versions of the song.
To figure this out, let's make a system of equations:
2.5s + 4.5h = 5740
h = 4s
First substitute the second equation into the first for h.
2.5s + 18s =5740
Then combine like terms.
20.5s = 5740
Lastly, divide each side by 20.5 to get the number of standard downloads:
s = 280
Hope this helps!
Answer: x ≥ 1307
Explanation:
First, write the formula:
monthly fee: $14
minute rate: 7¢ or $0.07
total charge: $105.49
.07x + 14 ≥ 105.49 (the sign is this way because they said this price was the least she had been charged for a month.
You can solve for x just like you would in an equation by making the ≥ sign an equal sign
.07x + 14 = 105.49
- 14 -14
.07x = 91.49
÷ .07 ÷ .07
x = 1307 minutes
since you didn't divide by a negative number, the inequality sign stays the same:
x ≥ 1307
