A group of students surveyed chose baseball and soccer as their favorite sport in the ratio 3:8 A) if 132 students were surveyed, find the number of students that chose soccer as there favorite sport
B) if 56 students chose soccer as their favorite sport, find the number of students that chose baseball as their favorite sport.
Answers
Final answer:
Using ratios, we determine that out of 132 students, 96 chose soccer. If 56 students chose soccer, then 21 students chose baseball.
Explanation:
This question deals with the concept of ratios. The ratio of students who chose baseball to those who chose soccer is given as 3:8. This means that the total number of parts is 3 (for baseball) + 8 (for soccer) = 11.
A) If 132 students were surveyed, we can determine the number of students who chose soccer by first finding the value of each 'part' in the ratio. This is done by dividing the total number of students (132) by the total number of parts (11) which equals 12 students per 'part'. As soccer was chosen by 8 'parts' of students, the number of students is 8 * 12 = 96.
B) If 56 students chose soccer, represented by 8 'parts', then each 'part' corresponds to 56 / 8 = 7 students. The number of students who chose baseball, represented by 3 'parts', is then 3 * 7 = 21.
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Related Questions
Henry rolls 2 number cubes numbered 1 through 6 while playing his favorite board game. He will get a second turn if he rolls a sum that is an even number less than 10. What are Henry's chances of getting a second turn when he rolls the number cubes? 7/18 11/18 5/36 17/36 I got 5/18. I added up the amount of different ways to get 2-8. I found 10. Either the test is wrong or I'm really bad at counting, and I'm not confident enough to count either of them out.
The ordered pairs below represent a linear relation between x and y.(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11) Which of the following is a correct statement about this relation? A. The slope of the line represented by this table is -2 and the y-intercept is -4. B. The slope of the line represented by this table is 2 and the y-intercept is 7. C. The slope of the line represented by this table is 2 and the y-intercept is -4. D. The slope of the line represented by this table is -2 and the y-intercept is 7.
How do you find the length of a circle in geometry?
¿Cuántos litros de agua se precisa para llenar una piscina inflable de 1/4 de metro cúbico?
Answers
-1=1/2*10+b
-1=5+b /-5
-6=b
We know that our line is y=1/2x-6
Now we can substitute x=6 (from first point) and find value of y
y=1/2*6-6
y=3-6
y=-3 - its the answer
B. 19
C. 30
D. 15 User: Can the set of lengths be the side lengths of a right triangle? 18 m, 24 m, 30 m
A. yes
B. no
Answers
Answer:
First Answer = 19.0
Second Answer = Yes.
Step-by-step explanation:
Length of Side = 21 ft
Vertical length of ladder = 9 ft.
This formal a Right angled triangle situation.
Distance between bottom of slide and bottom of ladder = b
Using Pythagoras theorem,
b² + 9² = 21²
b² + 81 = 441
b² = 441 - 81
b² = 360
b = √360
b =6√10
b = 18.973666...
b = 19.0 (rounded off to nearest tenth)
Given length of sides of the triangle are 18 m , 24 m and 30 m
30² = 900
18² + 24² = 324 + 576 = 900
Since, 30² = 18² + 24²
Therefore, Given set cab be the length of the sides of the right triangle.
The slide is 21 ft long. You can imagine that this slide is actually the hypotenuse of a right angled triangle.
To get to the top of the slide you must climb up a vertical 9 foot ladder. You can imagine that this ladder is the opposite side of the right angled triangle.
Now, the distance between the bottom of the ladder and the bottom of the slide can be thought of as the adjacent side of this right angled triangle.
We know, thanks to Pythagoras that:
A²+O²=H²
A = Adjacent length = b
O = Opposite length
H = Hypotenuse
Therefore:
b²+9²=21²
b²=21²-9²
b²=360
b=√360=18.97 (2dp)
So the answer you are looking for is 19 feet to the nearest tenth (answer: B).
SECOND QUESTION:
18²+24²=30² (Yes)
Therefore the answer to the second question is YES (answer: A).
2x-4y=6
solve the equations
Answers
2x+6y-2x-(-4y)=0
10y=0
Therefore, y=0. Substituting this into the first equation, we see that:
x+3(0)=3
x=3
Therefore, x=3. The solution to this system is x=3, y=0, or (3, 0).
x-2y=3
the first equation is
x+3y=3
subsitute
3=3 so therefor
x-2y=x+3y
subtract x from both sides
-2y=3y
add 2y to both sides
0=5y
ofviously y=0 so subsitute
x-2y=3
x-(2)0=3
x-0=3
x=3
x=3
y=0
2)in mathmatics and sciecnce but not in english
3)in mathematics only
more than one subject only
Answers
Given that we have deduced the number of students who passed in two subjects, we can now solve for the number of students who passed only one subject.
English = 15 - (4 + 2 + 0) = 9
Mathematics = 12 - (4 + 3 + 2) = 3
Science = 8 - (4 + 3 + 0) = 1
1. In English but not in Science,
9 + 2 = 11
2. In Mathematics and Science but not in English
3 + 3 + 1 = 7
3. In Mathematics only
= 3
3. More than one subject only
3 + 4 + 2 + 9 = 18
It will really be helpful if you draw yourself a Venn Diagram for this item.
Answer:
there are 4 students who passed in all subjects, we can say that 2 students passed in English and Mathematics, 3 students passed in Mathematics and Science only, and no one passed in English and Science only.
Step-by-step explanation:
Given that we have deduced the number of students who passed in only two subjects, we can now solve for the number of students who passed only one subject.
English = 15 - (4 + 2 + 0) = 9
Mathematics = 12 - (4 + 3 + 2) = 3
Science = 8 - (4 + 3 + 0) = 1
1. In English but not in Science,
9 + 2 = 11
2. In Mathematics and Science but not in English
3 + 3 + 1 = 7
3. In Mathematics only
= 3
3. More than one subject only
3 + 4 + 2 + 9 = 18
Answers
Foyt anwser
Answers
Answer:
Step-by-step explanation:
if 8 + 4 = 12
12= 4 + 8