23/4 miles is as much as 5 3/4 miles. We can also write it as a decimal, because 5 3/4 = 5,75 miles.
If Ammar hikes 5,75 miles in 1 1/4 hour, then we need to find out what distance does he hike in 1/4 hour (15 minutes). To do that we can just divide 5,75 by 5 (because dividing 1 1/4 by 5 will give us 1/4 we're looking for).
5,75 / 5 = 1,15
It means that in one hour Ammar hikes 5,75 - 1,15 = 4,6 miles.
We can also write it as a fraction:
4,6 = 4 6/10 = 4 3/5 = 23/5 miles
Just pick whichever form you like :)
A + m = 54, m = a + 4 and, a + m = 54, - a + m = 4,
Combine the equations: 2m = 58
Now solve: 2m = 58, 2m/2 = 58/2, m = 29, therefore a = 24
Answer:
Step-by-step explanation:
Area of the rectangular piece A = xy
x is the length
y is the width
Perimeter =2x+2y
Given
Perimeter = 3044yds
3044 = 2x+2y
1522 = x+y
x = 1522-y
Substitute into the formula for area
A = xy
A = (1522-y)y
A = 1522y-y²
To maximize the area, dA/dy must be zero
dA/dy = 1522-2y
0 = 1522-2y
2y = 1522
y = 1522/2
y = 761
Since x+y = 1522
X+761 = 1522
X = 761
Dimension is 761yd by 761yd
Area = 761×761 = 579121yd²
Answer:
a. 13.7084 oz.
Step-by-step explanation:
Formula for Lower Control Limit =
(LCL = x-bar - A²R-bar)
x - bar = 14 oz
A2 = 0.729
R - bar = 0.4 oz
= 14 - 0.729 × 0.4
= 14 - 0.2916
= 13.7084oz
Answer:
The vale of x=4
Step-by-step explanation:
We know that the sum of angles of a triangle = 180°
Given
Thus, the equation becomes
(3x+13) + (8x+14) + 109° = 180°
11x + 27 + 109° = 180°
11x = 180°- 109° - 27
11x = 44
x = 4
Thus, the vale of x=4
