When solving an equation with an absolute value term, you make two separate equations ans solve for x:
Equation 1: |4x-3|-5 = 4
1st add 5 to both sides:
|4x-3| = 9
Remove the absolute value term and make two equations:
4x-3 = 9 and 4x - 3 = -9
Solving for x you get X = 3 and x = -1.5
When you replace x with those values in the original equation the statement is true so those are two solutions.
Do the same thing for equation 2:
|2x+3| +8 = 3
Subtract 8 from both sides:
|2x+3| = -5
Remove the absolute value term and make two equations:
2x +3 = -5
2x+3 = 5
Solving for x you get -1 and 4, but when you replace x in the original equation with those values, the statement is false, so there are no solutions.
The answer is:
C. The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.
Answer:
0.84
Step-by-step explanation:
Divide 63 by 75 and you get 0.84 (84%).
Answer:
Rita's pay for Monday is $158.
Step-by-step explanation:
Rita's hourly pay for an 8-hour shift she works everyday is, $16.
If she works overtime she gets paid 1.5 times her hourly pay for every extra hour.
That is, if she works (8 + <em>x</em>) hours a day then the pay for the <em>x</em> hour is, 1.5<em>x</em>.
Rita's working hours on Monday is:
- Started from 8:15 AM to 12:45 PM ⇒ 4 hours 30 minutes.
- 45 minutes lunch break ⇒ 12:45 PM + 45 minutes = 1:30 PM
- Worked from 1:30 PM to 6:15 PM ⇒ 4 hours 45 minutes
It is provided that Rita does not get paid for lunch hour.
Rita's pay for Monday is computed as follows:
= (8:15 AM - 12:45 PM) + (1:30 PM - 6:15 PM)
= (4 hours 30 minutes) + (4 hours 30 minutes)
= (4 + 4) hours + (30 + 45) minutes
= (8 × 16) + (75 minutes × 16 × 1.5)
= 128 + (1.25 hours × 24)
= 128 + 30
= 158
Thus, Rita's pay for Monday is $158.
Answer:
Mr. Lin can only have 2 people in his 4 teams but he will have 2 people without a group
Step-by-step explanation:
It would be better if he had 5 teams because everyone will be able to be in a team
Then rearrange the equation to get 10x on the same side as 25.
Keep in mind, once bringing to the other side, your constant and variable will switch to a negative or positive for example,
-10x will become +10x. Another example is +20x will become -20x once brought to the other side.
Continuing on once rearranged, your equation will look like,
Then we have to get rid of the 2 on 2y so you will have to divide both sides by 2.
Dividing both sides by 2, you will get,
The reason why we don't divide and rather keep the 25/2 (25 divded by 2) is because 25 divided by 2 will give an answer with a decimal and that we don't want a decimal in our equation so we just keep it the way it is. If you ever get a decimal, make sure you keep it in its fraction form.
