MATHEMATICS MIDDLE SCHOOL

What is the square root of 8x-32

Answers

Answer 1
Answer: √8(x-4) The expression can only be put into surd form and factorised!

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Mr.smog just bought a big-screen tv set. The screen is 48 in. wide and 27 in. high. Find the lenghth of its diagonal

Answers

Look\ at\ the\ picture.\n\nUse\ the\ Pythagorean\ theorem:\n\nd^2=48^2+27^2\n\nd^2=2304+729\n\nd^2=3033\n\nd=√(3033)\n\n\boxed{d\approx55\ (in)}

Answer:

55

Step-by-step explanation:

Use the Pythagorean theorem

a^2 + b^2 = c^2

48^2 + 27^2 = (diagonal)^2

2304 +729 = (diagonal)^2

diagonal = 55 inches

Melinda paints 7/8 of a wall in 1 1/6 hours. What pat of a wall does Melinda paint in 1 MINUTE?

Answers

1\ minue=(1)/(60)hour\n 1(1)/(6)=(7)/(6)\n\n (7)/(8)\ wall\ in\ (7)/(6)hours\nx\ wall\ in\ (1)/(60)\n\nProportion:\n(7)/(8)\ - (7)/(6)\nx-\ (1)/(60)\n\ncross\ multiplication\n\n(7)/(8)*(1)/(60)=(7)/(6)x\n\n(7)/(480)=(7)/(6)x\ \ \ | divide\ by\ (7)/(6)\n\n(7)/(480)*(6)/(7)=x\n\nx=(6)/(480)=(1)/(80)\n\n In\ one\ minute\ Melinda\ will\ paint\ (1)/(80)\ of\ wall.

What is the simplest form of 25 over 30

Answers

(25)/(30) = (5)/(6)

Divide each numerator and denominator by 5. It’s your answer. Hope this helps!

Kelan shaded 0.5 of the rectangle what fraction equals 0.5

Answers

The decimal 0.5 represents the fraction 5/10. The decimal 0.25 represents the fraction 25/100. Decimal fractions always have a denominator based on a power of 10. We know that 5/10 is equivalent to 1/2 since 1/2 times 5/5 is 5/10.
the fraction that equals 0.5 is 5/10

~~~20 POINTS~~~
Please help me with these two questions.

Answers

Number 1 is unanswerable from the information given.

Number 2)
The orientation of a figure is the angular position of where the figure is placed on a plane while the dilation just affects the stretch and shrink factor of the figure.

which power can you write to represent the volume of a cube that is 1/3 inches. write the power as an expression with a base and an exponent

Answers

Answer: The volume of a cube that is 1/3 inches is represented by ((1)/(3))^3 .


Step-by-step explanation:

Given: The side length of cube =(1)/(3) inches

The volume of cube with side length 'a' is given by :-

Volume=a^3, where base=a and power =3

Therefore, the volume of cube with side length (1)/(3) inches is given by :-

Volume=((1)/(3))^3

Here, Base= (1)/(3)

Power=3
base: 1/3
Exponent: 3
Hope this helped
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