Brendan earns 1,826 each month.How much money does he earn in a year??
2 answers:
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|2x + 6| - 4 = 20
First, add 4 to both sides. / Your problem should look like: |2x + 6| = 20 + 4
Second, simplify 20 + 4 to 24. / Your problem should look like: |2x + 6| = 24
Third, break down the problem into these 2 equations. / 2x + 6 = 24 and -(2x + 6) = 24
Fourth, solve the 1st equation: 2x + 6 = 24
Subtract 6 from both sides. / Your problem should look like: 2x = 24 - 6
Simplify 24 - 6 to 18. / Your problem should look like: 2x = 18
Divide both sides by 2. / Your problem should look like: x =
Simplify to 9 / Your problem should look like: x = 9
Fifth, solve the 2nd equation: -(2x + 6) = 24
Simplify brackets. / Your problem should look like: -2x - 6 = 24
Add 6 to both sides. / Your problem should look like: -2x = 24 + 6
Simplify 24 + 6 to 30. / Your problem should look like: -2x = 30
Divide both sides by -2. / Your problem should look like: x =
Simplify to 
/ Your problem should look like: x = 
Simplify
to 15. / Your problem should look like: x = -15
Sixth, collect all of your solutions. / Your problem should look like: x = -15, 9
Answer: x = -15, 9 (C)
First, add 4 to both sides. / Your problem should look like: |2x + 6| = 20 + 4
Second, simplify 20 + 4 to 24. / Your problem should look like: |2x + 6| = 24
Third, break down the problem into these 2 equations. / 2x + 6 = 24 and -(2x + 6) = 24
Fourth, solve the 1st equation: 2x + 6 = 24
Subtract 6 from both sides. / Your problem should look like: 2x = 24 - 6
Simplify 24 - 6 to 18. / Your problem should look like: 2x = 18
Divide both sides by 2. / Your problem should look like: x =
Simplify
Fifth, solve the 2nd equation: -(2x + 6) = 24
Simplify brackets. / Your problem should look like: -2x - 6 = 24
Add 6 to both sides. / Your problem should look like: -2x = 24 + 6
Simplify 24 + 6 to 30. / Your problem should look like: -2x = 30
Divide both sides by -2. / Your problem should look like: x =
Simplify
Simplify
Sixth, collect all of your solutions. / Your problem should look like: x = -15, 9
Answer: x = -15, 9 (C)
Answer:
Keiko got a better answer on the test on her second test, and you could compare these two ratios as they are written.
Step-by-step explanation:
First: Convert each of the scores into percentages:
How do you convert ratios to percentages? Well, first we have to convert the ratio to a decimal or a fraction. Let's convert it to a fraction. So, 19 out of 25 will become , and 17 out of 20 will become
. To convert a fraction to a percentage:
- Divide the numerator by the denominator:
19 ÷ 25 = 0.76 AND 17 ÷ 20 = 0.85
- Multiply your quotient by 100
0.76 x 100 = 76 AND 0.85 x 100 = 85
- Add the percent sign
76% AND 85%
Now the two quantities are easier to compare. We can obviously see that 85% is bigger [and better] than 76%. So, the ratio that equals 85% - 17 out of 20 - is a better grade.
The second question was: Can you compare these two ratios as they are written? Explain why or why not.
Yes, you can compare these two ratios, just find the [positive] difference between the amount that she scored and the total number of scores that could be gained.
25 - 19 = 6
20 - 17 = 3
Since the equation with 20 and 17 in it has a smaller difference, it is most likely to have a greater value [because that means that Keiko got more right and less wrong, which means a greater mark which is also a greater quantity].
Thanks,
Topic: Quantity Relationships, Quantity Conversions