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Zielflug [23.3K]
3 years ago
6

Value of x is 3.2x-9.6=38.4?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0

Answer:

The steps that can be done to both sides of the equation is: Add 9.6, then divide by 3.2

Step-by-step explanation:

Solve the equation:

3.2x - 9.6 = 38.4

-First you add both sides 9.6:

3.2x -9.6 +9.6 = 38.4 +9.6

3.2x = 48

-Then, you divide both sides by 3.2:

\frac{3.2x}{3.2} = \frac{48}{3.2}

x=15

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What integer is equivalent to 25 3/2?
ELEN [110]

Answer:

25\frac{3}{2} =26.5

Step-by-step explanation:

This mixed number can be separated into 25 and \frac{3}{2}. Convert the fraction to a decimal by plugging it into a calculator, then add 25.

If you meant what whole number is equivalent, that does not exist.

5 0
2 years ago
Consider the expression 16y^2 . Select the correct statement:
tiny-mole [99]

Step-by-step explanation:

Given expression is:

16y^2

We will solve each statement one by one to see which statements are correct.

<u>If y=3/4, the values of 16y^2 is 12</u>

Putting y = 3/4 in expression

16y^2 = 16 *(\frac{3}{4})^2 = 16 * \frac{9}{16} = 9

<u>If y=1/4, the values of 16y^2 is 2</u>

Putting y = 1/4 in expression

<u></u>16y^2 = 16 *(\frac{1}{4})^2 = 16 * \frac{1}{16} = 1<u></u>

<u></u>

<u>If y=3/8, the values of 16y^2 is 4/9</u>

Putting y = 3/8 in expression

<u></u>16y^2 = 16 *(\frac{3}{8})^2 = 16 * \frac{9}{64} = \frac{9}{4}<u></u>

<u></u>

<u>If y=1/8, the values of 16y^2 is 1/4</u>

Putting y = 1/8 in expression

<u></u>16y^2 = 16 *(\frac{1}{8})^2 = 16 * \frac{1}{64} = \frac{1}{4}<u></u>

<u></u>

<u></u>

<u>If y=2/3, the values of 16y^2 is 3/4</u>

Putting y = 2/3 in expression

<u></u>16y^2 = 16 *(\frac{2}{3})^2 = 16 * \frac{4}{9} = \frac{64}{9}<u></u>

<u></u>

<u>Hence,</u>

The correct statement is:

If y=1/8, the values of 16y^2 is 1/4

Keywords: Expressions, variables

Learn more about expressions at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

7 0
3 years ago
It takes 6 men 5 days to build a fence. How many days would it take 3 men? 9 men?
Papessa [141]

Answer:

6 people build fences in 3 days

1 person would take 6*3=18 days

Thus 10 people would take 18/10 days

i.e 1.8 days

1 day 3 hours

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Step-by-step explanation:

6 0
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A bucket that has a mass of 30 kg when filled with sand needs to be lifted to the top of a 30 meter tall building. You have a ro
Rom4ik [11]

Answer:

765 J

Step-by-step explanation:

We are given;

Mass of bucket = 30 kg

Mass of rope = 0.3 kg/m

height of building= 30 meter

Now,

work done lifting the bucket (sand and rope) to the building = work done in lifting the rope + work done in lifting the sand

Or W = W1 + W2

Work done in lifting the rope is given as,

W1 = Force x displacement

W1 = (30,0)∫(0.2x .dx)

Integrating, we have;

W1 = [0.2x²/2] at boundary of 30 and 0

W1 = 0.1(30²)

W1 = 90 J

work done in lifting the sand is given as;

W2 = (30,0)∫(F .dx)

F = mx + c

Where, c = 30 - 15 = 15

m = (30 - 15)/(30 - 0)

m = 15/30 = 0.5

So,

F = 0.5x + 15

Thus,

W2 = (30,0)∫(0.5x + 15 .dx)

Integrating, we have;

W2 = (0.5x²/2) + 15x at boundary of 30 and 0

So,

W2 = (0.5 × 30²)/2) + 15(30)

W2 = 225 + 450

W2 = 675 J

Therefore,

work done lifting the bucket (sand and rope) to the top of the building,

W = 90 + 675

W = 765 J

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