Write the following numbers in order from least to greatest.
1 answer:
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Answer:
The number of essay questions on the test were 9
Step-by-step explanation:
Given as :
Total number of questions in a test = 26
Total points for the 26 questions = 123
The point for each multiple choice questions = 3
The point for each essay questions = 8
Let The number of multiple choice questions = m
Let The number of essay questions = e
<u>Now, According to question</u>
Total number of questions in a test = number of multiple choice questions + number of essay questions
Or, m + e = 26 .....A
Again
Total points for the 26 questions = point for each multiple choice questions × number of multiple choice questions + point for each essay questions × number of essay questions
i.e 3 × m + 8 × e = 123
Or, 3 m + 8 e = 123 .......B
Solving the equation we get
8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123
Or, 8 m + 8 e - 3 m - 8 e = 208 - 123
Or,(8 m - 3m) + (8 e - 8 e) = 85
Or, 5 m + 0 = 85
∴ m =
i.e m = 17
So,The number of multiple choice questions = m = 17
Put the value of m into eq A
∵ m + e = 26
Or, e = 26 - 17
i.e e = 9
So, The number of essay questions = e = 9
Hence, The number of essay questions on the test were 9 . Answer
When you have a scale factor as percentage, is better to convert that percentage into a fraction by divide it by 100%. That way, it will be much easier to scale your figures.
1. The scale factor we need to apply to our rectangle is 60%. Firts, lets convert our scale factor into a fraction:
. Next, we just need to multiply each side of our rectangle by our fraction:
length=
width=
So, our new rectangle will have a length of 9.6 units and a width of 4.8 units.
2. This time the scale factor is 120%. Just as before, lets convert it into a fraction:
, and just as before lets multiply each side of our triangle by our fraction:
base=
side=
So, our new isosceles triangle will have a base of 12 units and tow sides of length 9.6 units each.
3. This time the scale factor is 150%. Just as before, lets convert it into a fraction:
, and just as before lets multiply each side of our polygon by our fraction:
So, our new polygon will have a side of 12 length units, tow sides of 15 length units, and two side of 15 length units.
4. This time our factor is 75%. Just as before, lets convert it into a fraction:
, and just as before lets multiply each side of our parallelogram by our fraction:
side=
So, our new parallelogram will have tow sides of length 18.75 units.
1. The scale factor we need to apply to our rectangle is 60%. Firts, lets convert our scale factor into a fraction:
length=
width=
So, our new rectangle will have a length of 9.6 units and a width of 4.8 units.
2. This time the scale factor is 120%. Just as before, lets convert it into a fraction:
base=
side=
So, our new isosceles triangle will have a base of 12 units and tow sides of length 9.6 units each.
3. This time the scale factor is 150%. Just as before, lets convert it into a fraction:
So, our new polygon will have a side of 12 length units, tow sides of 15 length units, and two side of 15 length units.
4. This time our factor is 75%. Just as before, lets convert it into a fraction:
side=
So, our new parallelogram will have tow sides of length 18.75 units.