Our given inequality is:
-7x < -42
To solve for the inequality, we need to simplify for x and ensure we've carefully answered the question.
Currently, x is being multiplied by -7.
To get x by itself, we need to perform the opposite of what's being done.
Remember, what you do to one side of an equation/inequality, you must do to the other.
The opposite of multiplying is dividing.
Divide -7x by -7 to get x.
-7x / -7 = x
-42 / -7 = 6 (Dividing a negative by a negative makes a positive, the same goes with multiplying)
You're left with x < 6
When we divide/multiply by a negative, we need to flip the inequality with the opposite value.
Your final inequality is:
x _> 6
I hope this helps you. :)
The greatest number of groups that can be formed is 10
Answer:
part a- if he really wants it then yes but its overpriced with the tax. part b- about $5.80 CORRECT ME IF IM WRONG I USED A NEW APP
Step-by-step explanation:
Answer:
7.0 mi
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so

substitute the given values

step 2
Find the measure of a
Applying the law of sines

substitute the given values

solve for a

First of all we must use the same unit measure for all data, otherwise it wouldn't make sense to compare meters and kilometers.
Since one kilometer is the same as 1000 meters, we have that 920000 meters are 920 kilometers.
Now, the train travels at 230 kilometers per hour. It means that it travels 230 kilometers with each passing hour
So, after 1 hour, the train travels 230 km. After two hours, the train travels 2x230 = 460km, and so on
In general, the distance traveled after k hours is
.
We want that distance to be 920, so the equation is

So, the train travels 920 kilometers (i.e. 920000 meters) in 4 hours.