Answer:
x = 4
Step-by-step explanation:
The absolute value of 5x is still 5x.
5x - 2 = 18
Add 2 to both sides
5x = 20
Divide both sides by 5
x = 4
Answer:
The speeds of the cars is: 0.625 miles/minute
Step-by-step explanation:
We use systems of equations in two variables to solve this problem.
Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : 
. Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.
Writing the velocity equation for car A (which reached its destination in 24 minutes) is:
Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:
Now we solve for 
in this last equation and make the substitution in the equation for car A:
So this is the speed of both cars: 0.625 miles/minute
we know that
the formula to calculate the slope between two points is equal to
in this problem we have
substitute the values in the formula
therefore
<u>the answer is the option</u>
The correct answer is B.
With negative numbers, the "smaller" the number looks the bigger it is.
-2 is greater than -4.
Positive numbers are greater than negative numbers so we have:
8 > -2 > -4
To dilate means to make larger and when dilating a shape you make all sides go up by the same ratio not amount you don't just add the same number to each side. also I have to assume that the sides go in order for every answer. so to start you set up a ratio using the first side take the 16 from the instructions and put it over the first side in the first answer so 16/24 or 2/3 when reduced then take the second side from the instructions and first answer and set them up the same way 28/40 reduced to 7/10 now if these ratios were equal it would be the answer however because 7/10 doesn't equal 2/3 a is not the answer. do the same for all the answers and you will get c to be the answer
