MATHEMATICS MIDDLE SCHOOL

How do i solve 4/9+5/6

Answers

Answer 1

Answer:

We must find the common denominator.

It's LCM of 9 and 6.

Multiples of 6: 0, 6, 12, 18, 24, ...

Multiples of 9: 0, 9, 18, 27, ...

LCM(6, 9) = 18

18 = 3 · 6

18 = 2 · 9

$(4)/(9)=(4\cdot2)/(9\cdot2)=(8)/(18)\n\n(5)/(6)=(5\cdot3)/(6\cdot3)=(15)/(18)\n\n(4)/(9)+(5)/(6)=(8)/(18)+(15)/(18)=(8+15)/(18)=(23)/(18)=(18+5)/(18)=1(5)/(18)$

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Other method:

$(4)/(9)+(5)/(6)=(4\cdot6)/(9\cdot6)+(5\cdot9)/(6\cdot9)=(24)/(54)+(45)/(54)=(24+45)/(54)=(69)/(54)=(54+15)/(54)\n\n=1(15)/(54)=1(15:3)/(54:3)=1(5)/(18)$

Answer 2

Answer:

Hello!

Answer: =23/18. *The answer must be have a fractions.

Explanation:

Add the numbers and fractions.

8/18+15/18

When the denominator are equal, and it's going to be combine by the fractions.

8+15/18

15+8=23

=23/18

Hope this helps!

Thanks!

Have a great day!

-Charlie

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Which of the following is equal to seventy-seven and twenty-one hundredths?

Answers

can you send the details then I can answer

A graph Includes the ordered pair (2,4). Write two different rulesA graph Includes the ordered pair (2,4). Write two different rules that would be possible for this graph. Explain how you found your answer.

Answers

All you have to do is make up some answers that when the ordered pair is substituted, it is a valid answer.

Here are some I made up:

$y=2x$

and

$y=x+2$

When substituting your ordered pair into this, it will be correct.

Hope this helped!

~Cam943, Moderator

A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is the width of the parking lot?

Answers

A rectangle, let length=a and width=b

perimeter: a+a+b+b=820

2a+2b=820 --> a+b = 410

Make a or b the subject: a=410-b

Area: ab=42 000 (area of a rectangle, length x width)

Sub a in.

b(410-b) = 42000

Expand: 410b - b^2 = 42000

Rearrange and use quadratic formula: b^2 -410b + 42000=0

b= 210 (can only be positive because length cannot be negative)

Sub this value back into perimeter or area equation: a + 210 = 410 --> a =200

Therefore, a= 200 and b=210.

Depending what you made the width is, it should be 200ft.

(I may have made some calculation errors as i'm not used to typing it out, but the process should be correct) I hope helps! :)

Combine like terms to simplify the expression:     7x + 3y – 2 + 6x – 1 – y2

A.–2y3 + 13x – 3
B.–y2 + 3y + 13x – 3
C.–y2 + 3y + 42x2 –3
D.–3y3 + 13x2 – 3

Answers

$7x + 3y -2 + 6x -1 - y^2 = -y^2 + 3 y+13 x - 3 \n \nAnswer : \ B. \ \ -y^2 + 3y + 13x-3$

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?