Answer:
Step-by-step explanation:
So we have the equation:
First, note that since the sign is greater than, this is an <em>or</em> inequality (not an "and" inequality). This is the student's first mistake.
So, let's solve this inequality.
Case 1:
Subtract 1 from both sides:
Divide both sides by -4:
The student did not flip the sign when doing this step, hence the incorrect answer.
You correctly spotted the student's mistake. Nicely done!
Case 2:
This is what you're missing: for this second instance, we <em>must</em> flip the sign to <em>less than</em> right away. This is because we are essentially multiplying the 3 by a negative. So, we must flip the sign in order to be correct.
Now solve. Subtract 1 from both sides:
Divide both sides by -4. Since we're dividing by a negative, flip the sign:
So, our solutions are:
As mentioned previously, this is an <em>or</em> inequality. Therefore, our final answer is:
Edit: Improved Answer
Maya is cleaning out her closet and is shocked when she realizes that she has 55 shirts. She decides to donate 40% of them. How many more shirts does she have for her ?
Answer:
The number of T-shirt that Maya will have after donating 40% is 22 shirts
Explanation:
Given:( as per the above data provided)
Total number of T-shirts = 55
Percentage of T-shirts she wish to donate = 40%
To find:
Remaining number of T-shirt left after donating?
Formula to be used:
Remaining T shirt = (Total number of T-shirt /100) X The Percentage of T-shirt she wish to donate
Steps:
Substituting all the above provided values in the formula we get,
= (55/100)*40
= 22 shirts.
Thus the number of T-shirts left with her is 22.
[11]
Equation: 180° - 75°
Measure: 105°
A straight line has an angle measurement of 180°. Since we have GFB, 75°, we can find EFB this way.
[12]
Equation: 90° - 40°
Measure: 50°
The little box in the angle shows that it is equal to 90°. Since they give us HGB, 40°, we can solve for EFB using this information.
Answer:
Passing laws for credit card companies to follow
Step-by-step explanation:
Government may pass new laws to set up new regulations for the financial institutions
Answer:
The answer to this question is x = 32/45
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
22+3=x(45)−7
22+3=45x+−7
(22+3)=45x−7(Combine Like Terms)
25=45x−7
25=45x−7
Step 2: Flip the equation.
45x−7=25
Step 3: Add 7 to both sides.
45x−7+7=25+7
45x=32
Step 4: Divide both sides by 45.
45x
/45
=
32
/45
x=
32
/45