Answer:
l=0.1401P\\
w =0.2801P
where P = perimeter
Step-by-step explanation:
Given that a window is in the form of a rectangle surmounted by a semicircle.
Perimeter of window =2l+\pid/2+w
Or 
To allow maximum light we must have maximum area
Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle
Hence we get maximum area when i derivative is 0
i.e. 
Dimensions can be
Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.
Step-by-step explanation:
Let x represent the number of ounces that a small bottle holds.
Let y represent the number of ounces that a large bottle holds.
He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that
2x + 2y = 76 - - - - - - - - - - - - 1
The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that
4x + y = 83 - - - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
4x + 4y = 152
4x + y = 83
Subtracting, it becomes
3y = 69
y = 69/3 = 23 ounces
Substituting y = 23 into equation 1, it becomes
2x + 2 × 23 = 76
2x + 46 = 76
2x = 76 - 46 = 30
x = 30/2 = 15 ounces
Answer:
1 km is 0.621371 mile
Step-by-step explanation:
There are 1.609344 kilometers in 1 mile. To convert from miles to kilometers, multiply your figure by 1.609344 (or divide by 0.62137119223733) .
1)B -26-27x
steps :distribute ,-9 times 3 =-27 , -9 times 3x = -27x , now combine like terms :you have a 1 and a -27 ,1-27=-26,and you left with -27
2)D 11-49x
steps :distribute , positive 7 times 1= 7 and then positive 7 times negative 7x =-49, now combine like terms ,since you have a positive 4 combine it with positive 7 which is 11 and finally put it together with -49x which it would look like 11-49x
Answer:
b. y = -7x + 4
1. y = -7(-5)+ 4 = 35+4= 39
2. -24= -7x + 4
-28 = -7x
4 = x
3. y = -7(0)+4= 4
4. 0 = -7x+4
-4= -7x
4/7 = x
c. 3y - 5x = 15
1. 3y - 5(6)
3y-30=15
3y=45
y = 15
2. 3(-10)-5x=15
-30-5x=15
-5x = 45
x = -9
3. 3y-5(0)=15
3y=15
y=5
4. 3(0)-5x=15
0-5x=15
-5x=15
x=-3
Step-by-step explanation:
