Answer:
Length = 18.099 ft
Width = 11.049 ft
Step-by-step explanation:
let the length of the field be x ft
and the width be y ft
as per the condition given in problem
x=2y-4 -----------(A)
Also the area is given as 200 sqft
Hence
xy=200
Hence from A we get
y(2y-4)=200
taking 2 as GCF out
2y(y-2)=200
Dividing both sides by 2 we get


subtracting 100 from both sides

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

Here in our case
a=1
b=-1
c=-100
Putting those values in the formula and solving them for y


Solving first





Solving second one






Which is wrong as the width can not be in negative
Our width of the field is
y=11.099
Hence the length will be
x=2y-4
x=2(11.049)-4
x=22.099-4
x=18.099
Hence our length x and width y :
Length = 18.099 ft
Width = 11.049 ft
To determine the number of subjects that are needed for the experiments, we multiply the number of independent variables with the number of scores. For example, there are n independent variables then, there are approximately,
number of subjects = 20 x n = 20n
Answer:
1. 8/3
2. 1/7
3. 1/12
4. 1/27
Step-by-step explanation:
1. 3/8 * m = 1
Multiply by 8/3
8/3 * 3/8 m = 1* 8/3
m = 8/3
2. 7 * m = 1
Divide by 7
7*m /7 = 1/7
m = 1/7
3. 3 ÷m = 36
Multiply by m
3 ÷m * m = 36*m
3 = 36*m
Divide by 36
3/36 = 36*m/26
1/12 = m
4. 4/9 ÷m = 12
Multiply by m
4/9 ÷m * m = 12*m
4/9 = 12*m
Multiply by 1/12
4/9 *1/12 = 12*m * 1/12
4/12 *1/9 = m
1/3*1/9 =m
1/27
Answer:
50 cents
Step-by-step explanation:
Let's set up a system of equations. Let x be a cookie and y be a brownie then...
x+2y=2x+y
x+y=1
We can solve this using substitution
x=1-y
1-y+2y=2(1-y)+y
1+y=2-2y+y
1+y=2-y
-1=-2y
y=1/2
One brownie costs 50 cents and one cookie costs...
x+1/2=1
x=1/2
One cookie costs 50 cents