Simplifying
2.1x + -1(1 + 4.2x) = 5.3
2.1x + (1 * -1 + 4.2x * -1) = 5.3
2.1x + (-1 + -4.2x) = 5.3
Reorder the terms:
-1 + 2.1x + -4.2x = 5.3
Combine like terms: 2.1x + -4.2x = -2.1x
-1 + -2.1x = 5.3
Solving
-1 + -2.1x = 5.3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -2.1x = 5.3 + 1
Combine like terms: -1 + 1 = 0
0 + -2.1x = 5.3 + 1
-2.1x = 5.3 + 1
Combine like terms: 5.3 + 1 = 6.3
-2.1x = 6.3
Divide each side by '-2.1'.
x = -3
Simplifying
x = -3
Hope i was helpful!
Answer:
1st:
2nd:
3rd:
Step-by-step explanation:
Graph all of them and see which ones cross the x- axis at the same points.
Answer:
-30000/100
300 0/1
Step-by-step explanation:
We have the following numbers -18 and 16 2/3, the first is an integer and the second is a mixed number, the first thing is to pass the mixed number to a decimal number.
16 2/3 = 16.67
We do the multiplication:
−18⋅16 2/3 = -300
We have an improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number), therefore it would be:
-30000/100
How mixed number would it be:
300 0/1
3.8 Is the correct answer
The uphill part of the ride would have taken 16 minutes and 40 seconds.
This can be found first by determining how many miles Lauren went during the downhill portion. This can be found by multiplying the speed by the time.
5mph * .5hrs = 2 1/2 miles.
Now we can determine how far she needs to go during the uphill portion by subtracting the downhill portion from the entire ride.
3 1/3 miles - 2 1/2 miles = 5/6 miles.
Now that we know she needs to go 5/6 miles for the uphill portion, we can divide the distance by the speed.
5/6 miles / 3 mile per hour = 5/18 hours = 16.67 mins or 16 mins and 40 seconds.
