5x−12=−2+5(x−2)
multiply 5 by all in parentheses first
5x - 12= -2 + (5*x) + (5*-2)
5x - 12= -2 + 5x - 10
5x - 12= 5x - 12
if you subtract 5x from one side and add 12 to the other the solution is:
0= 0
This equation is one that is always true. No matter what number you put in for x, it will always be true.
Example:
5x - 12= 5x - 12
5(4) - 12= 5(4) - 12
20 - 12= 20 - 12
8= 8
Example:
5(-100) - 12= 5(-100) - 12
-500 - 12= -500 - 12
-512= -512
This will happen no matter what number x is.
ANSWER: D) All values of x make the equation true.
Hope this helps! :)
Answer:
1 1/3
Step-by-step explanation:
Step 1: Find the whole number
We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.
8/6= 1.3333333333333 = 1
Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.
Step 2: Get the new numerator
To work this out we'll use the whole number we calculated in step one (1) and multiply it by the original denominator (6). The result of that multiplication is then subtracted from the original numerator:
8 - (6 x 1) = 2
Step 3: Our mixed fraction
We've now simplified 8/6 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:
1 2/6
Step 4: Simplifying our fraction
In this case, our fraction (2/6) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 2 and 6 is 2.
We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.
2/2 = 1
6/2 = 3
When we put that together, we can see that our complete answer is,
1 1/3
Answer:
6.25m
Step-by-step explanation:
24mm = 5m
30mm = x
x = 30 * 5/24
x = 6.25m
Simple....
you have:
3x-9=7x+12
To even solve this....isolate the variable your are trying to solve for....
3x-9=7x+12
-3x -3x
-9=4x+12
-9=4x+12
-12 -12
-21=4x
Simplify.....
Thus, your answer.
Answer: 3 chocolate cones and 1 strawberry cone
explanation: $1.75 x 3 = $5.25
$5.25 + $1.30 = $ 6.55
hope this helps :)
