The ratio of boys to girls in history class is 4 to 5. How many girls are in the class if there are 12 boys in the class?
Answers
Final answer:
In a class where the ratio of boys to girls is 4 to 5, if there are 12 boys, there would be 15 girls.
Explanation:
The subject of this question is mathematics, specifically the topic of ratios and proportions. To answer your question, the ratio of boys to girls is 4 to 5, this means that for every 4 boys in the class, there are 5 girls. If there are 12 boys, you simply multiply each side of the ratio by the same factor to keep the ratio the same. Since 12 divided by 4 equals 3, we also have to multiply 5 by 3. Hence, there are 15 girls in the class.
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y=x+3
y=2x+5
Answers
y = 2x+5
x+3 = 2x+5
x+8 = 2x
x = 8
I think I did that right, anyway.
y=2x+5
1. Solve for the variable that is easiest to find.
In this case I will solve for x.
y=x+3
-3 -3
y-3=x
2. Now plug in (y-3) for x in the other equation.
y=2(y-3)+5 ~use distributive property
y=2y-6+5 ~combine like terms
y=2y-1
-2y=-2y
-y=-1 ~multiply both sides by -1
y=1
3. Since you have a value for y you can plug it in to solve for x.
y=x+3
1=x+3
-3 -3
-2=x
Answers:
y=1
x=-2
Answers
Answers
y-y1=m(x-x1).
Here y1 = 2 according to the given equation.
and x1 = (-6).
Therefore,the line passes through the point P(x1,y1) or
P(-6,2).
Final Answer:P(-6,2).
Answers
Answer: The size of the sample is 840.
The probability that the first three letters of the four-letter code are vowels is
Step-by-step explanation:
Th total number of letters given to form code of 4 letters = 7
Since, the order of the letters in the code matters, which means there is no repetition.
The total number of ways to form the code size =
Therefore, The size of the sample is 840.
Since, there are 3 vowels and rest of 4 letters are consonant.
The number of ways to form code such that the first three letters of the four-letter code are vowels =
The probability that the first three letters of the four-letter code are vowels is
=
The probability that the first three letters of the four-letter code are vowels is 1/35 and the size of the sample is 840.
What is the explanation for the above?
Step 1 - Determine the sample size.
It is to be noted that the total number of letters given to form code of 4 letters = 7
Given that the order of the letters in the code matters, which means there is no repetition; hence,
The total number of ways to form the code size = 7 x 6 x 5 x 4 = 840
Thus, the size of the sample is 840.
Step 2 - Solve for the Probability
Given that there are 3 vowels and rest of 4 letters are consonant.
The number of ways to form code such that the first three letters of the four-letter code are vowels
= 3 x 2 x 1 x 4
= 24
Hence, the probability that the first three letters of the four-letter code are vowels is
= 24/840
= 1/35
Learn more about probability at;
brainly.com/question/24756209
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Answers
Answers
Using the function concept, it is found that:
A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
--------------------------------
- A function has the following format:
- In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
- The input is x and the output is y.
- Then, the word independent completes the sentence.
A similar problem is given at brainly.com/question/21084589
Answer:
A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Step-by-step explanation:
We have been an incomplete statement. We are asked to complete the given statement.
We know that a function is a relation between two sets. A relation is known as function when each input in the domain has exactly one specific corresponding output.
We also know that independent variable is known as input of function and dependent variable is known as output of function.
Therefore, the correct word for given statement would be independent variable.