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FromTheMoon [43]
3 years ago
6

Xiao's teacher asked him to rewrite the sum 60+90 as the product of the GCF of the two numbers and a sum. Xiao wrote 3(20+30). W

hat mistake did Xiao make? How should he have written the sum?
Mathematics
1 answer:
Sergio [31]3 years ago
6 0
The\ mistake:GCF(60;\ 90)\ isn't\ 3\ just\ 30.\\\\Correct\ answer:60+90=30(2+3)
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AlladinOne [14]

Answer:

1: x=23.313708 2: B x = -13.2 3: x = 152

All the problems examples at the bottom

Step-by-step explanation:

1: 12x=−3(4−x)

12x=3x−12

Step 1: Divide both sides by 12.

12x12=3x−1212

x=14x−1

Step 2: Solve Square Root.

x=14x−1

x=(14x−1)2(Square both sides)

x=116x2+−12x+1

x−(116x2+−12x+1)=116x2+−12x+1−(116x2+−12x+1)(Subtract 1/16x^2+(-1)/2x+1 from both sides)

−116x2+32x−1=0

x=−b±b2−4ac2a(Use quadratic formula with a=-0.0625, b=1.5, c=-1)

x=−(1.5)±(1.5)2−4(−0.0625)(−1)2(−0.0625)

x=−1.5±2−0.125

x=0.6862915010152388,23.31370849898476

2: 3+2.7x=9.6+3.2x

Step 1: Simplify both sides of the equation.

2.7x+3=3.2x+9.6

Step 2: Subtract 3.2x from both sides.

2.7x+3−3.2x=3.2x+9.6−3.2x

−0.5x+3=9.6

Step 3: Subtract 3 from both sides.

−0.5x+3−3=9.6−3

−0.5x=6.6

Step 4: Divide both sides by -0.5.

−0.5x−0.5=6.6−0.5

x=−13.2

3: 9+34x=78x−10

Step 1: Simplify both sides of the equation.

9+34x=78x−10

9+34x=78x+−10

34x+9=78x−10

Step 2: Subtract 7/8x from both sides.

34x+9−78x=78x−10−78x

−18x+9=−10

Step 3: Subtract 9 from both sides.

−18x+9−9=−10−9

−18x=−19

Step 4: Multiply both sides by 8/(-1).

(8−1)*(−18x)=(8−1)*(−19)

x=152

I really hope this helped you

4 0
3 years ago
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