MATHEMATICS HIGH SCHOOL

Simplify the following expression: (x + 6y) − (3x − 10y). If the final answer is written in the form Ax + By, what is the value of A?

Answers

Answer 1
Answer:

Answer: The value of A is -2.

Step-by-step explanation:

Since we have given that

(x+6y)-(3x-10y)

We need to change it in the form of Ax+By.

So, it becomes,

x+6y-3x+10y\n\n=(x-3x)+(6y+10y)\n\n=-2x+16y

Now, we will equate this with Ax+By:

By comparing the coefficient of x and y:

-2x+16y=Ax+By\n\n\implies A=-2\n\nand\n\n\implies B=16

Hence, the value of A is -2.
Answer 2
Answer:

-2

becasue we

-2x-4y

-2 = A

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Factorise:a4+2a3b-2ab3-b4..

Answers

a^4+2a^3b-2ab^3-b^4\n\n=a^4-b^4+2a^3b-2ab^3\n\n=(a^2-b^2)(a^2+b^2)+2ab(a^2-b^2)\n\n=(a^2-b^2)(a^2+b^2+2ab)\n\n=(a-b)(a+b)(a+b)^2\n\n=(a-b)(a+b)(a+b)(a+b)


(x+y)^2=x^2+2xy+y^2\n\nx^2-y^2=(x-y)(x+y)

Deanna collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 0.14 0.18 0.22 0.54
Grade 9 0.17 0.24 0.05 0.46
Column totals 0.31 0.42 0.27 1


Based on the data, which statement is most likely correct?
In Grade 8, 14 students liked swimming.
In Grade 9, 31% of students liked swimming.
In Grade 8, 22% of students liked volleyball.
In Grade 9, 5 students liked volleyball.

Answers

Answer:

In Grade 8, 22% of students liked volleyball.

Step-by-step explanation:

Given:

The table representing the relative frequencies of different sports in different grades among the students.

                           Swimming      Running    Volleyball                   Row totals

Grade 8                        0.14           0.18         0.22                          0.54

Grade 9                        0.17           0.24        0.05                          0.46

Column totals              0.31           0.42        0.27                             1

Relative frequency givesthe ratio of the number of quantities of a particular kind and the total number of quantities.

\textrm{Relative frequency}=\frac{\textrm{Number of students in a particular sport}}{\textrm{Total students}}

From the above table, we can conclude the following points:

Grade 8:

14% liked swimming, 18% liked running and 22% liked volleyball. So, a total of 54% students liked playing sports.

Grade 9:

17% liked swimming, 24% liked running and 5% liked volleyball. So, a total of 46% students liked playing sports.

Combining students of grade 8 and 9:

31% liked swimming, 42% liked running and 27% liked volleyball.

From all the options available, we observe that, third option is only correct.

In Grade 8, 22% of students liked volleyball.

You added 3 3/4 cups of flour, 1 1/4 cups of oil, and 2 2/4 cups of water to a bowl for a recipe. How many cups did you combine in total?

Answers

3 3/4 + 1 1/4 + 2 2/4 

3/4 + 1/4 + 2/4 = 1 1/2

3 + 1 + 2 + 1 1/2 = 7 1/2 cups total

Please someone help me giving brainliest :)

Answers

Answer 4

6 goes into 24 4 times and since both the top and bottom are negative the answer is positive

Answer:

It should be 4.

Bob has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how many are quarters and how many are dimes.

Answers

37 dimes, 23 quarters. 
37 dimes, 23 quarters

What is 6 3/5% as a decimal

Answers

The answer is 0.1 because you divide 3/5= .6 Then you multiply .6 by 100= 60 Then divide 60 by the 6 in your original question.
0.1 is the correct answer you are looking for.
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