Answer:
a. 125 – 7d
Step-by-step explanation:
Let d be the number of days.
<u>Given the following data;</u>
Total distance (month) = 125 miles
Distance covered per day = 7 miles
To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;
Total distance - distance covered per day = number of miles remaining
Let's form the difference of the two expressions and see what we can learn.
(2y -x) -(2x -y) = 2y -x -2x +y = 3y -3x = 3(y -x)
Since y > x, this is positive, so 2y -x is greater than 2x -y.
Answer:
It's the second answer down : Angle B, A and C
Step-by-step explanation:
Answer:
The bottom is 11
The median is 12
Step-by-step explanation:
The median is the average of the top and bottom
(13+ 2x-3) /2 = 4x-16
Combine like terms
(10+2x)/2 = 4x-16
Divide by 2
5+x = 4x-16
Subtract x from each side
5+x-x = 4x-16-x
5 = 3x-16
Add 16 to each side
5+16 = 3x-16+16
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
The bottom is 2x-3 = 2*7-3 = 14-3 = 11
The median is 4x-16 = 4*7-16 = 28 -16 = 12
Answer:
A two-step equation is something like:
A*X + B = C
In this case, like in a linear equation, we have only one solution that can be found as:
A*X = C - B
X = (C - B)/A
In the case of a two-step inequality, we have something like:
A*X + B > C
Solving this we get;
A*X > C - B
X > (C - B)/A
In this case, any value of X that is larger than (C - B)/A is a solution, so in this case, we have infinite solutions.
That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.
