MATHEMATICS MIDDLE SCHOOL

Sean has a piece of string 7/8 meter long. He uses 1/5 of the piece of string to tie a package and cuts the rest into 5 equal pieces. What is the length of each piece

Answers

Answer 1
Answer:

Answer:

7/50 meter.

Step-by-step explanation:

He has 7/8 meter. 1/5 of the piece of string is

(7)/(8)(1)/(5) = (7)/(40).

Then, he uses 7/40 meter to tie a package. The rest of string will be

(7)/(8)-(7)/(40) = (7)/(10).

Then, the rest of string after he uses 1/5 is 7/10. Finally, he cuts the rest into 5 equal pieces, that is

(7)/(10)(1)/(5) = (7)/(50).

Then, the lenght of each piece is 7/50 meter.
Answer 2
Answer: First we have to find how much string we are going to cut into 5 pieces. We do this by taking 1/5 of 7/8 meter.

1/5 × 7/8 = 7/40

Now we have to subtract this from the original amount...

7/8 - 7/40 =
35/40 - 7/40 =
28/40 = 14/20 = 7/10

Now we divide this remaining string by 5 to find the length of the individual pieces...

7/10 ÷ 5 =
7/10 × 1/5 =

7/50 meter

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-4x+3y=-2

y=x-1

y=? x=?​

Answers

Answer:

x=-1 , y=-2

Step-by-step explanation:

Replace y in the first equation with x-1.

So, we have -4x+3(x-1)=-2

Multiply brackets with 3: -4x+3x-3=-2

-4x+3x=-2+3 (-3 becomes +3 after it changes sides)

-x=1 /*(-1)

x=-1

After we have x we include it in y=x-1

y=-1-1

y=-2

Solve each equation by completing the square. If necessary, round to the nearest hundredth.19. X²-18x=19
20. 4 a²+8a-20=0

Answers

x^2-18x=19\n\nx^2-2x\cdot9+9^2-9^2=19\n\n(x-9)^2-81=19\n\n(x-9)^2=19+81\n\n(x-9)^2=100\iff x-9=\pm√(100)\n\nx-9=-10\ \vee\ x-9=10\n\nx=-10+9\ \vee\ x=10+9\n\nx=-1\ \vee\ x=19



4a^2+8a-20=0\ \ \ \ /:4\n\na^2+2a-5=0\n\na^2+2a\cdot1+1^2-1^2=5\n\n(a+1)^2-1=5\n\n(a+1)^2=5+1\n\n(a+1)^2=6\iff a+1=\pm\sqrt6\n\na=-\sqrt6-1\ \vee\ a=\sqrt6-1\n\na\approx-3.45\ \vee\ a=\approx1.45

How do you find the area of a triangle and please show examples

Answers

to find the area of a triangle, u multiply its base and height, then divide by 2.

the formula for area of a triangle is:
A= B(base)h(height)/2 
There are several ways to find the area of a polygon, but because you're in middle school, you'll most likely use; A = 1/2b * h; where A = area, b = base, and h= height.

Say you have a triangle, the bottom of it is 4 meters and it is 6 meters tall this is not the same thing as a side length. You would divide 4 by 2, which is the same thing as as multiplying by 1/2, and multiply it by 6.

So A = 1/2*2*6
A = 1 * 6
A = 6

3x - 2y when x = 2 and y = 10​

Answers

Answer:

the answer is -14

Step-by-step explanation:

3x - 2y

3(2)-2(10)

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Solve for c in a+b+c=180

Answers

Answer:

c = -a - b + 180

Step-by-step explanation:

Isolate the c. Note the equal sign, what you do to one side, you do to the  other. Subtract a and b from both sides

a (-a) + b (-b) + c = 180 (-a) (-b)

c = 180 - a - b

c = -a - b + 180 is your answer

~

A triangle has sides with lenghs of 3x+3 ,2x+2 and 4x-1. what is the perimiter of the triangle

Answers

Just add the side lengths together.
3x+3+2x+2+4x-1=9x+4
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