I need to know the answer I’m working on rational numubers

Mathematics

1 answer:

lesya [120]1 year ago

3 0

Answer:

Fraction Form: $\frac{11}{24}$

Decimal Form: 0.4583

Step-by-step explanation:

Apply the fraction rule: $\frac{-a}{b} = - \frac{a}{b}$

$\frac{-5}{12} = - \frac{5}{12}$

$- \frac{5}{12} + \frac{7}{8}$

Least Common Multiple (LCM) of 12 and 8: 24

$- \frac{5}{12} x \frac{2}{2} = - \frac{10}{24} \\\\\frac{7}{8} x \frac{3}{3} = \frac{21}{24} \\\\- \frac{10}{24} + \frac{21}{24}$

Apply the fraction rule:

$\frac{a}{c} + \frac{b}{c}= \frac{a + b}{c}\\\\\frac{-10 + 21}{24} \\\\-10 + 21 = 11\\\\\frac{11}{24}$

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What is the volume of the figure?

serious [3.7K]

Answer:

188 $ft^{3}$

Step-by-step explanation:

So we can split up this shape into two prisms and then add the two areas.

The volume of a rectangular prism is V = l*w*h

For the first prism, we have our length as 3, our width as 4, and our height as 9. Substituting these values into our volume equation gives us V = (3)(4)(9) = 108 $ft^{3}$ .

Now for the second prism, we have our length as 5, our width as 4, and our height as 4. Substituting these values into our volume equation give us V = (5)(4)(4) = 80 $ft^{3}$

Now adding these two values will give us the area of the entire figure: 108 $ft^{3}$ +80 $ft^{3}$ = 188 $ft^{3}$