Nicole drew a circle on the chalkboard that had a radius of 15 cm. Which is closest to the circumference in centimeters of the circle she drew on the board?
A.30cm
B.45cm
C.24cm
D.90cm
D
Which statement is not supported by the information in the graph?
6th graders 188 boys 192 girls
7th graders 179 boys 183 girls
8th graders 181 boys 186 girls
A.There are approximately 15 more girls that attend this school than boys
B.There are approximately 20 more students in the 6th grade than in the 7th
C.More boys attend this school than girls
D.There are more total students in the 8th grade than in the 7th
C
Which of the following best represents the improper fraction of 9/5?
A.0.95
B.5.9
C.9.5
D.1.8
D
Your first and third answers are right. Since I don't see the graph, I can't check the second one.
Joan works for six hours each weekday and eight hours total on weekends she earns six dollars an hour on weekdays and nine dollars an hour and weekends how much money does she earned each week
To find the circumference of a circle, we can use the formula:
C = 2πr,
where C is the circumference and r is the radius.
In this case, the radius is given as 15 cm. Plugging it into the formula:
C = 2π(15) = 30π.
To find the closest whole number approximation, we can use the value of π as 3.14:
C ≈ 30(3.14) = 94.2.
Now, looking at the given answer choices:
A. 30 cm - too small
B. 45 cm - too small
C. 24 cm - too small
D. 90 cm - too large
The closest option to 94.2 cm is 90 cm, so the answer is D.
Now, let's move on to the second question.
Looking at the given information, we have the following numbers for each grade:
6th graders: 188 boys, 192 girls
7th graders: 179 boys, 183 girls
8th graders: 181 boys, 186 girls
Now, let's evaluate each statement:
A. There are approximately 15 more girls that attend this school than boys.
This statement is supported by the information. Adding the number of girls and boys in each grade, we find:
6th graders: 188 + 192 = 380
7th graders: 179 + 183 = 362
8th graders: 181 + 186 = 367
The difference between the number of girls and boys is consistently around 15, so this statement is supported.
B. There are approximately 20 more students in the 6th grade than in the 7th.
This statement is not supported by the information. Adding the number of students in each grade, we find:
6th graders: 188 + 192 = 380
7th graders: 179 + 183 = 362
The difference is not approximately 20, so this statement is not supported.
C. More boys attend this school than girls.
This statement is not supported by the information. Adding the number of boys and girls in each grade, we find:
6th graders: 188 + 192 = 380
7th graders: 179 + 183 = 362
8th graders: 181 + 186 = 367
The number of girls is consistently higher than the number of boys, so this statement is not supported.
D. There are more total students in the 8th grade than in the 7th.
This statement is supported by the information. The total number of students in each grade is as follows:
6th graders: 188 + 192 = 380
7th graders: 179 + 183 = 362
8th graders: 181 + 186 = 367
There are more total students in the 8th grade (367) than in the 7th grade (362), so this statement is supported.
Therefore, the answer is C - "More boys attend this school than girls."
Moving onto the third question:
To represent the improper fraction 9/5, we divide the numerator (9) by the denominator (5):
9 ÷ 5 = 1 remainder 4,
So 9/5 can be written as the mixed number 1 4/5.
Looking at the given answer choices:
A. 0.95 - not equivalent to 9/5
B. 5.9 - not equivalent to 9/5
C. 9.5 - not equivalent to 9/5
D. 1.8 - equivalent to 9/5
The best representation of the improper fraction 9/5 is D - 1.8.
I hope this helps! If you have any further questions, feel free to ask.