Answer:
11x-2y
Step-by-step explanation:
Combine like terms so 2x+9x=11x AND -4y+2y=-2y so answer follows as 11x-2y
Let Paul's house be at the origin of a coordinate grid. then Mary lives at (-6,-9) and Benjamin lives at (7,3). using the distance formula for these two points gives us d=√(-6-7)² + (-9-3)².
d=√169+144 or√313 miles, or about 17.69 miles.
Answer:
The answer in the procedure
Step-by-step explanation:
Let
x-----> amount corresponding to 75%
we know that
using proportion
Answer:
1/4
Step-by-step explanation:
The slope of a line is the steepness of a line.
The slope of a perpendicular line is always the negative reciprocal of the slope of the line it is perpendicular with.
Since line C has a slope of -4, the negative reciprocal of that is 1/4.
Reciprocals are two numbers that multiply together to get 1.
For example, -1/4*-4/1=1
Therefore the negative recipricol is 1/4
Answer:
6 days
Step-by-step explanation:
First we have to write an expression that represents Johnny's and Sal's banking plans.
Johnny: He has an initial value of $100 and that value will increase by $15 every day. So the expression looks like: 15x + 100, where x is the amount of days it's been.
Sal: An initial value of $250 and the value will decrease by $10 everyday. The expression looks like: -10x + 250, where x is the amount of days it's been.
To find how many days they have until they have the same amount of money in the bank, we can set the expressions equal to each other and solve for x:
15x + 100 = -10x + 250
Add 10x to both sides to isolate the x on one side of the equation:
25x + 100 = 250
Subtract 100 from both sides of the equation to isolate 25x:
25x = 150
Divide both sides by 25 to find the value of x:
x = 6
Since x represents the amount of days it's been, x = 6 means that it will take 6 days for their bank accounts to have the same amount of money in them.
Hope this helps :)
