Answer:
2800m
Step-by-step explanation:
Assumption:
Start point from which Percy Cod walks is "x"
If he walks around a perimeter that is the shape of a rectangle,
Length of area = L = 1000m
Width of area = W = 400m
Distance around the rectangle = D = 2 * (L + W)
D = 2 * (400+1000)
D = 2 * 1400
D = 2800m
Answer: 2 hours
Step-by-step explanation:
Given : Working alone at their respective constant rates, machine A and machine B can fill a certain order in 3 hours and 6 hours, respectively.
Let t be the time taken by both of them working together.
Then, according to the question, we have
![\dfrac{1}{t}=\dfrac{1}{3}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{2+1}{6}\ \ [\because\ L.C.M. (3,6)=6]\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{6}=\dfrac{1}{2}\\\\\Rightarrow t=2](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B1%7D%7B6%7D%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B2%2B1%7D%7B6%7D%5C%20%5C%20%5B%5Cbecause%5C%20L.C.M.%20%283%2C6%29%3D6%5D%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B3%7D%7B6%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5CRightarrow%20t%3D2)
Hence, it will take 2 hours by the two machines .
Answer:
<em>C.) One mile</em>
Step-by-step explanation:
9/10 ain less than 1/4
9/10 is wayyy more than 1/2
9/10 ain even one mile so how could it be more than a mile?
Answer:
x = -6
Step-by-step explanation:
Solve for x:
2 (3 x - 4) = 4 (x/2 - 8)
Put each term in x/2 - 8 over the common denominator 2: x/2 - 8 = x/2 - 16/2:
2 (3 x - 4) = 4 x/2 - 16/2
x/2 - 16/2 = (x - 16)/2:
2 (3 x - 4) = 4 (x - 16)/2
4/2 = (2×2)/2 = 2:
2 (3 x - 4) = 2 (x - 16)
Divide both sides by 2:
3 x - 4 = x - 16
Subtract x from both sides:
(3 x - x) - 4 = (x - x) - 16
3 x - x = 2 x:
2 x - 4 = (x - x) - 16
x - x = 0:
2 x - 4 = -16
Add 4 to both sides:
2 x + (4 - 4) = 4 - 16
4 - 4 = 0:
2 x = 4 - 16
4 - 16 = -12:
2 x = -12
Divide both sides of 2 x = -12 by 2:
(2 x)/2 = (-12)/2
2/2 = 1:
x = (-12)/2
The gcd of -12 and 2 is 2, so (-12)/2 = (2 (-6))/(2×1) = 2/2×-6 = -6:
Answer: x = -6
Hey there! I'm happy to help!
To find the x-value of the midpoint, you add the x values and divide by 2.
6+10=16
16/2=8
And for the y value, you do the same thing but with the y values.
-10+7=-3
-3/2=-3/2
Therefore, our midpoint is (8,-3/2).
Have a wonderful day! :D
