C, D, E, and G are FOUR points.
Answer: Sasha
Step-by-step explanation:
carlos- 54 divided by 25 equals 2.25 dollars for each gallon
sasha- 31.25 divided by 15 equals 2.083333(3 repeats)
They are both really close on price, but sasha's is cheaper
Answer:
(D) Divide the first equation, 
, by 2.
Step-by-step explanation:
Given:
We need to find the operation performed on equation so as to get resultant equation as:
From Above we can see that there is no change in equation 2 with respect to resultant equation.
Also Resultant equation is simplified form of equation 1.
Simplifying equation 1 we get;
We can see that 2 is the common multiple on both side.
Hence we will divide equation 1 with 2 we get
which is the resultant equation.
Hence (D) Divide the first equation, , by 2 is the correct option.
Okay so to represent juice we are going to use X, and to represent water we are going to use Y.
We also know that the first two starting equations are:
6x + y = 135
4x + 2y = 110
We can re-arrange the first equation so that it equals y (for now), so it is going to end up looking like this:
y = -6x +135
Now you can take that equation and plug into either one of the starting two equations. I chose the second equation. We just substitute what y equals in for y in the equation, so we have:
4x + 2(135 - 6x) = 110
Now solve
4x + 270 -12x = 110
-8x + 270 = 110
Subtract 270 from both sides
-8x = -160
Now divide by -8 on both sides
x = 20
We can now confirm that juice costs $20
Now lets plug that into the equation where we solved for y, to get the actual value of y.
y = 135 - 6(20)
y = 135 - 120
y = 15
The price of water costs $15
From this we can conclude that the cost of juice is $20 and the price of water is $15
The triangle inequality applies.
In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.
In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.
The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
