MATHEMATICS MIDDLE SCHOOL

One fourth the difference of four sixths and three twelfths

Answers

Answer 1

Answer: 4/6=8/12
8/12 - 3/12= 5/12
answer: 5/12

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Round 34.4567 to the nearest cent

Answers

Because 34.4567 is closer to 34.46 than to 34.45, so the answer is 34.46.

Is 9.42 a rational number

Answers

yes because it can be put in a fraction and it ends

Is -44 a rational or irrational

Answers

Answer: Rational

Step-by-step explanation: -44 is an integer and all integers are rational numbers. Therefore, -44 is classified as a rational number.

The set of integers includes the set of whole numbers {0, 1, 2, 3...} and they also include their negative counterparts.

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What transformation was performed on triangle ABC to create triangle A apostrophe B apostrophe C apostrophe ? A. translation 8 units right B. 180° rotation about the origin C. reflection across the x-axis D. reflection across the y-axis

Answers

D. reflection across the y-axis

the diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm multiply answer a 134.8 b 185.6 c 218.4 d 269.6

Answers

Answer:

Surface Area of the juice box = 269.6 cm²

Step-by-step explanation:

The dimensions of the box in shape of rectangular prism is given by :

6.4 cm × 4 cm × 10.5 cm

⇒ Length = 6.4 cm

Width = 4 cm

Height = 10.5 cm

Surface Area of rectangular prism is given by the formula = 2(wl + hl + hw) ,where w = width, h = height and l = length

⇒ Area of rectangular prism shaped box = 2(4×6.4 + 10.5×6.4 + 10.5×4)

= 2(25.6 + 67.2 + 42)

= 2 × 134.8

= 269.6 square cm

Hence, Surface Area of the juice box = 269.6 cm²

Therefore, The correct option is D. 269.6

Answer

Surface Area of the juice box = 269.6 cm²

The dimensions of the box in shape of rectangular prism is given by :

6.4 cm × 4 cm × 10.5 cm

⇒ Length = 6.4 cm

Width = 4 cm

Height = 10.5 cm

Surface Area of rectangular prism is given by the formula = 2(wl + hl + hw) ,where w = width, h = height and l = length

⇒ Area of rectangular prism shaped box = 2(4×6.4 + 10.5×6.4 + 10.5×4)

= 2(25.6 + 67.2 + 42)

= 2 × 134.8

= 269.6 square cm

Hence, Surface Area of the juice box = 269.6 cm²

Therefore, The correct option is D. 269.6

What is the value of x in this simplified expression? (-j)^-7=1/(-j)^x

Answers

$x=7\n\n\text{because}\n\na^(-n)=(1)/(a^n);\ a\neq0\n\n(-j)^(-7)=(1)/((-j)^7)$

$\text{Minus in a power means inverse.}$

$a^(-1)=(1)/(a)\n\n(-j)^(-7)=(-j)^(7\cdot(-1))=\left[(-j)^7\right]^(-1)=(1)/((-j)^7)\n\n\text{Used:}\n\n(a^n)^m=a^(n\cdot m)$

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