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masya89 [10]
2 years ago
10

The ratio of girls to boys in a class is 4:3. If the total number of students in the class are 28. How many of them are girls?

Mathematics
1 answer:
Olegator [25]2 years ago
7 0
4x + 3x = 28

7x = 28

7x/7 = 28/7

X = 4

Girls = 4

4x4 = 16

16 girls
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Answer:

The answer is below

Step-by-step explanation:

The total revenue from the sale of a popular book is approximated by the rational R(x) = 1100x^2/x^2 + 4, where x is the number of years since publication and the total revenue in millions of dollars. Use this function to complete parts a through d. (a) Find the total revenue at the end of the first year. $ million (b) Find the total revenue at the end of the second year. $ million (c) Find the domain of function R. Choose the correct domain below. {x | x is a real number and x greaterthanorequalto 0} {x | x is a real number and x lessthanorequalto 5} {x | x is a real number and x notequalto 2, x notequalto 5} {x | x is a real number and x notequalto 2}

Solution:

Revenue is the total money made from the selling of a product or item.

a) Given the revenue function:

R(x)=\frac{1100x^2}{x^2+4}

At the end of the first year (i.e. x = 1), the venue is given as:

R(1)=\frac{1100(1)^2}{(1)^2+4} =220\\\\R(1)=\$ 220\ million

b) At the end of the second year (i.e. x = 2), the venue is given as:

R(2)=\frac{1100(2)^2}{(2)^2+4} =220\\\\R(2)=\$ 550\ million

c) The domain of the function is the value of the denominator for which the value of the denominator is not zero

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The domain is {x| x is a real number and x ≥ 0}

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What additional information can be used to prove ΔDSB ≅ ΔTSR by SAS?
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Please find the attached file for a proper understanding of the question given here. The diagram in the file attached is the complete accompanying diagram of the question.

As per that diagram, RS\cong SB (which is given)

and we know that \angle DSB\cong \angle RST (vertically opposite angles).

Thus, the only way ΔDSB ≅ ΔTSR by SAS is when DS\cong ST as indicated in the diagram.

Thus, DS\cong ST is the correct answer.


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