MATHEMATICS MIDDLE SCHOOL

X + y = -9
5x - 2y = 32

Answers

Answer 1
Answer:

The solution is x = 2 and y = -11

Solution:

Given system of equations are:

x + y = -9 --------- eqn 1

5x - 2y = 32 ------------- eqn 2

We have to solve the system of equations

We can solve the system by substitution method

From eqn 1,

x + y = -9

Isolate "y" to one side

y = -9 - x ---------- eqn 3

Substitute eqn 3 in eqn 2

5x -2(-9 - x) = 32

5x + 18 + 2x = 32

Combine the like terms

7x = 32 - 18

7x = 14

x = 2

Substitute x = 2 in eqn 3

y = - 9 - 2

y = -11

Thus the solution is x = 2 and y = -11

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Simplify each expression 6x + 2x
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Marcus is selling lemonade and peanuts.Each cup of lemonade costs 0.75¢,and each bag of peanuts costs 0.35¢.On Saturday,Marcus sold 5 more cups of lemonade than bags of peanuts. He earned $7.05.How many cups of lemonade did Marcus sell on Saturday?

The expression 1/4 X 3/4 represents a fraction of a circle that is shaded

Answers

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(12x^2+8x-3)-(11x^2-x+5)

Answers

Answer:

x^2+9x -8

Step-by-step explanation:

(12x^2+8x-3)-(11x^2-x+5)

12x^2+8x-3-11x^2+x-5

x^2+9x -8

Answer:

x^2 + 9x  - 8

Step-by-step explanation:

Break the brackets out and you will get:

(12x^2+8x-3)-(11x^2-x+5)

= 12x^2 + 8x -3 - 11x^2 - (-x) - (+5)

= 12x^2 + 8x - 3 - 11x^2 + x - 5

=12x^2 - 11x^2 + 8x + x - 5 - 3

= x^2 + 9x  - 8 or x(x+9) -8

You can factorize it even more but it won't factorize much so you can keep it as this equation!

Hope this helped :3

A pattern has 5 blue triangles to every 80 yellow triangles. What is the ratio of blue triangles to all triangles?

Answers

1:16 or 5:80, if you're simplifying then all you do is divide denominator by numerator. then that's your simplified ratio

Raven loved her new book. She read for 1.25 hours on friday. On saturday she read for 1.75 hours. Then on sunday she read less than she did on saturday more than she did on friday. what could the possible amount of time she read on sunday be? What day did raven read the longest? Explain your thinking on the lines below.

Answers

If Raven read 1.25 hours on Friday, and 1.75 hours on Saturday, but read less on Sunday but more than on Friday. That only means that the probability number of hours Raven read on Sunday is 1.5 hours as it is less than 1.75 hours on Saturday but more than 1.25 hours on Friday.
A probability could be that she read 1.50 on Sunday. The longest day that she read was on Saturday because 1.50 is in between 1.25 and 1.75. Also, 1.25 is shorter than both numbers.  

List of Roots of x^5-3x^4+3x^3-x^2

Answers

Answer:

b

Step-by-step explanation:

Jack got the expression 7x + 1 and then wrote his answer as 1 + 7x. Is his answer an equivalent expression? How do u know? Explain using extended vocabulary

Answers

Yes, it is an equivalent expression because even though you move two pieces of an equation it will still equal the same thing, unless there are parentheses involved.
7x + 1    is composed by    + 7x       and       + 1

1 + 7x     is composed by      + 1          and      + 7x


So
7x + 1 = 1 + 7x
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