Let x = the width
then
2x = the length
:
The box dimensions: 2x by x by 4
Given the surface area:
2(2x*x) + 2(2x*4) + 2(x*4) = 220
:
4x^2 + 16x + 8x = 220
A quadratic equation:
4x^2 + 24x - 220 = 0
simplify, divide by 4
x^2 + 6x - 55 = 0
Factor
(x+11)(x-5) = 0
The positive solution is what we want here:
x = 5 ft is the width
then
2(5) = 10 ft is the length
:
Find the volume
10 * 5 * 4 = 200 cu/ft is the volume
1/25.4 = (1/16)/x....1 in to 25.4mm = 1/16 in to x mm
cross multiply
x = 25.4 * 1/16
x = 25.4/16
x = 1.59 mm
Hello!
First of all, we can subtract the stretching time. This gives us 20. If we divide by the four laps we get 5 minutes per lap.
Now, one lap is 400 meters (most tracks are), which is equal to 15,748.03 inches. This means it takes her five minutes to walk 15,748.03 inches. This is also equal to 300 seconds, so it takes her 300 minutes per 15,748.03 inches.
But if we round our big inches number to the nearest ten thousandth, we get 16,000, so in a simpler form her pace is 300/16,000. But we need to find in per second. Therefore we will divide by 300 to find how many inches she walks per second. This means she walks about 53.33 inches per second.
I hope this helps!
Answer:
168 miles.
Step-by-step explanation:
5/7x+40+0.75x−118=x
Step 1: Simplify both sides of the equation.
5/7x+40+0.75x−118=x
5/7x+40+0.75x+−118=x
(5/7x+0.75x)+(40+−118)=x(Combine Like Terms)
1.464286x+−78=x
1.464286x−78=x
Step 2: Subtract x from both sides.
1.464286x−78−x=x−x
0.464286x−78=0
Step 3: Add 78 to both sides.
0.464286x−78+78=0+78
0.464286x=78
Step 4: Divide both sides by 0.464286.
0.464286x/0.464286=78/0.464286
x=168
