A class of 48 students has 22 boys and 26 girls. What is ratio of girls to boys in the class?
26:11
13:11
13:22
11:13
Correct Answer : B
: a ratio can be thought of a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.
Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:
The fraction above reduces into
In ratio form, girls: boys=13:11
Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.
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Related Questions
Correct Answer is D
Explanation
We need to find how many mL are in 5.5 teaspoons. We are told that 1 teaspoon is about 4.93 mL, which we interpret as follows:
Or
Since we are looking for mL, we use the second option.
Thus, 5.5 teaspoons can hold approximately 27 mL.
Correct Answer is A
Explanation
In this scenario, we use the given chart and scale provided to find the number of each coin and select the right number of coins the student collected.
It is clear that the first choice if the correct answer. The child collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters.
Correct Answer is C
Explanation
from the given data, one gallon of cleaning solution requires 6 oz of ammonia. The mathematical expression of this statement can be expressed in two ways:
Or
The question requires we find the amount of ammonia needed to make 230 gallons of the solution. So, we use the second option and proceed as follows:
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 1380 oz of ammonia.
Correct Answer is A
Explanation
we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.
43÷55=43/55
5/7
0.729=729/1000
73%=73/100
Now, we need to find the least common denominator of 55, 7, 1000, and 100, which is 77000. We multiply each fraction by 77000 as follows:
43/55*77000=60200
5/7*77000=55000
729/1000*77000=56133
73/100*77000=56210
From the calculated values, it can be noted that 43/55 is the greatest value among the given options.
Correct Answer is A
Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
Thus, the correct statement is a.
Correct Answer is B
Explanation
Histograms are used to present frequency of data of one variable over the other. On the other hand, a bar graph is used to compare the two variables with the rectangles not touching one another as in histograms. Scatter plots are used to show the correlations between two variables. In this case, the teacher will be able to use scatter plot to establish the correlation between test scores and the subjects.
Correct Answer is B
Explanation
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.
Total distance=5+3=8 miles
Total time=25+15=40 minutes
We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be:
In 5 minutes, the athlete runs 1 mile.
Correct Answer is D
Explanation
correlations fall into positive, negative, and no correlation. A positive correlation shows that an increase in one variable increase results in an increase on the other variable increases as shown.
A negative correlation scatter plot shows that an increase in one variable results in a decrease on the other one.
The no-correlation scatter plot demonstrates that there is no response between variables. A change in one variable has no effect on the other variable.
Looking at the provided scatter plot, the heights of the students does not have any relationship on the students’ scores. Thus, the type of correlation is no correlation.
Correct Answer is B
Explanation
We follow the order operations to solve for the unknown value of x.
3(2x+5)=11x+5
Open the bracket on the LHS by multiplying each term by 3
(3*2x)+(3*5)=11x+5
6x+15=11x+5
Subtract 15 from both sides
6x+15-15=11x+5-15
6x=11x-10
Subtract 11x on both sides
6x-11x=11x-11x-10
-5x=-10
Divide both sides by -5
-5x/-5=-10/-5
x= 2
Thus, the value of unknown value of x is 2.
Correct Answer is C
Explanation
The best way to visualize the student’s score for each subject is to plot them using a bar graph.
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