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yan [13]
3 years ago
13

How large of a container would be needed to hold 800 g of water?

Mathematics
2 answers:
kirill [66]3 years ago
8 0
Since water has a density of 1 gram per cubic centimetre, then the container would need to be 800 cubic centimetres. if this container were a perfect cube,<span>then the length of the side of the container would be equal to the cube-root of </span>
Gwar [14]3 years ago
6 0
The container would<span> need to be </span>800<span> milliliters or </span>800<span> cubic centimeters, because there is one gram of mass in one cubic centimeter of </span>water<span>.</span>
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Find the value of y.
Phoenix [80]

\boxed{y=6\sqrt{3}}

<h2>Explanation:</h2>

For a better understanding of the problem I've built up two triangles from the given triangular shape. So these two triangles are similar. Therefore, we can solve this problem by using ratios and corresponding sides in this way:

\frac{x}{3}=\frac{12}{x} \\ \\ x^2=36 \\ \\ x=\sqrt{36} \\ \\ x=6

But our goal is to find y. Let's call w the height of the small triangle, then:

w=\sqrt{6^2-3^2}=3\sqrt{3}

Applying the concept of ratios again:

\frac{y}{w}=\frac{x}{3} \\ \\ y=w \left(\frac{x}{3}\right) \\ \\ y=3\sqrt{3}\left(\frac{6}{3}\right) \\ \\ \boxed{y=6\sqrt{3}}

<h2>Learn more:</h2>

Right triangle: brainly.com/question/10684799

#LearnWithBrainly

4 0
3 years ago
Variable termes X-12-3X+22
adell [148]

Answer: x + 12 = 3x + -22

12 + x = 3x + -22

Reorder the terms:

12 + x = -22 + 3x

Solving

12 + x = -22 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

12 + x + -3x = -22 + 3x + -3x

Combine like terms: x + -3x = -2x

12 + -2x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0

12 + -2x = -22 + 0

12 + -2x = -22

Add '-12' to each side of the equation.

12 + -12 + -2x = -22 + -12

Combine like terms: 12 + -12 = 0

0 + -2x = -22 + -12

-2x = -22 + -12

Combine like terms: -22 + -12 = -34

-2x = -34

Divide each side by '-2'.

x = 17

Simplifying

x = 17

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=10x-16y%3D12%20%5C%5C%205x-3y%3D4" id="TexFormula1" title="10x-16y=12 \\ 5x-3y=4" alt="10x-16y
Molodets [167]

Answer:

24/25

Step-by-step explanation:

Step 1: Define systems of equation

10x - 16y = 12

5x - 3y = 4

Step 2: Rewrite one of the equations

5x = 4 + 3y

x = 4/5 + 3y/5

Step 3: Solve for <em>y</em> using Substitution

  1. Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12
  2. Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12
  3. Simplify the fractions down: 8 + 6y - 16y = 12
  4. Combine like terms (y): 8 - 10y = 12
  5. Subtract 8 on both sides: -10y = 4
  6. Divide both sides by -10: y = 4/-10
  7. Simply the fraction down: y = -2/5

Step 4: Substitute <em>y</em> back into an original equation to solve for <em>x</em>

  1. Substitute: 5x - 3(-2/5) = 4
  2. Multiply: 5x + 6/5 = 4
  3. Subtract 6/5 on both sides: 5x = 14/5
  4. Divide both sides by 5: x = 14/25

Step 5: Check to see if solution set (14/25, -2/5) is a solution.

  1. Substitute into an original equation: 10(14/25) - 16(-2/5) = 12
  2. Multiply each term: 28/5 + 32/5 = 12
  3. Add: 12 = 12

Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.

Step 6: Find <em>x</em> <em>- y</em>

x = 14/25

y = -2/5

  1. Substitute: 14/25 - (-2/5)
  2. Simplify (change signs): 14/25 + 2/5
  3. Add: 24/25

Hope this helped! :)

6 0
3 years ago
Read 2 more answers
What is the result of adding -3x2 - 5x + 1 and 8x2 - 2x - 9
Fudgin [204]

(-3x^2 - 5x + 1) + (8x^2 - 2x - 9)

1st remove the parenthesis

-3x^2 - 5x + 1 + 8x^2 - 2x - 9

then combine like terms

5x^2 - 7x - 8 is the final answer

6 0
2 years ago
Check the picture below &amp; help please!!<br><br> how many hours?
Andre45 [30]

Answer:

I think it should be 11/3

5 0
3 years ago
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