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stellarik [79]
3 years ago
5

A balloon has a volume of 2.9 l at 320 kelvin. if the temperature is raised to 343 k, what will its volume be?

Mathematics
1 answer:
erica [24]3 years ago
8 0
To answer this problem, we assume that the gas being referred to in the problem is ideal. If that is the case, we will be able to use the ideal gas law given to be,
                                  PV = nRT
The equation that would best relate the volume and temperature of the ideal gas is,
                               V₁T₂ = V₂T₁
Substituting the known values,
                               (2.9L)(343 K) = (V₂)(320 K)
The value of V₂ is 3.11L. 
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How many solutions does the equation 3x + 6 = −1 − 3 + 4x have? (5 points)
lianna [129]

Answer:

The equation has only one solution which is:

  • x = 10

Step-by-step explanation:

Given the equation

3x\:+\:6\:=\:-1\:-\:3\:+\:4x

Let us solve the equation to determine the type of the equation

3x\:+\:6\:=\:-1\:-\:3\:+\:4x

subtract the number: -1 - 3 = -4

3x+6=4x-4

subtract 6 from both sides

3x+6-6=4x-4-6

3x=4x-10

subtract 4x from both sides

3x-4x=4x-10-4x

-x=-10

Divide both sides y -1

\frac{-x}{-1}=\frac{-10}{-1}

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7 0
3 years ago
Simplify by dividing negative three over eight divided by five over nine.
goblinko [34]

Answer:

\frac{-27}{40}

Step-by-step explanation:

First we need to write in correct form :

\frac{-3}{8}:\frac{5}{9}

We know how to divide fractions. If we can divide numerator by numerator, denominator by denominator, we just do it. In this example we can not do that.

So, we rewrite first fraction and multiply by reciprocal second ( numerator and denominator change place)

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3 years ago
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Name
tankabanditka [31]

Answer:

1. ¹⁰/₁₂ and ⅚;

2. ⁸/₁₂ and ⁴/₆;

3. ⁶/₁₂ and ³/₆

Step-by-step explanation:

The question is asking what fractions of 12 are equivalent to fractions of some smaller number.

Derek cut his pizza into 12 slices. Let's say that Ryan cut his into 6 slices.

Scheme 1

Derek eats 10 slices, and Ryan eats 5 (Fig A )

Then Derek has eaten ¹⁰/₁₂ = ⅚ of a pizza and Ryan has eaten ⅚ of a pizza.

They each have ⅙ of a pizza left over.

The fractions here are ¹⁰/₁₂ and ⅚.

Scheme 2

Derek eats 8 slices, and Ryan eats 4 (Fig. B)

Then Derek has eaten ⁸/₁₂ = ⅔ of a pizza and Ryan has eaten ⁴/₆ = ⅔ of a pizza.

They each have ⅓ of a pizza left over.

The fractions here are ⁸/₁₂ and ⁴/₆.

Scheme 3

Derek eats 6 slices, and Ryan eats 3 (Fig. C)

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They each have ½ of a pizza left over.

The fractions here are ⁶/₁₂ and ³/₆.

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Step-by-step explanation:

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