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Andrej [43]
3 years ago
9

Divide (16m³-10m²+2m)÷2m​

Mathematics
1 answer:
Elza [17]3 years ago
4 0

\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}

8 \:  {m}^{2}  - 5 \: m + 1 ✅

Step-by-step explanation:

\frac{(16 \:  {m}^{3} - 10 \:  {m}^{2} +  \: 2m) }{2 \: m}  \\ \\ =  \frac {2 \: m \: (8  \: {m}^{2}  - 5 \: m + 1)} {2 \: m}  \\ \\ = 8 \:  {m}^{2}  - 5 \: m + 1

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

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imagine 135/5

which = 27

Emma has 27 of her 5 pence coins

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Find the radius of the sphere with a volume of 32/81π cubic yards. Write your answer as a fraction in simplest form.
alexdok [17]

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=\frac{32\pi }{81} \end{cases}\implies \cfrac{32\pi }{81}=\cfrac{4\pi r^3}{3}\implies \cfrac{96\pi }{81}=4\pi r^3 \\\\\\ \cfrac{96\pi }{324\pi }=r^3\implies \cfrac{8}{27}=r^3\implies \sqrt[3]{\cfrac{8}{27}}=r\implies \cfrac{\sqrt[3]{8}}{\sqrt[3]{27}}=r\implies \cfrac{2}{3}=r

5 0
4 years ago
Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie? two-sevenths two-fif
Alex

Using it's concept, it is found that the probability that the customer also likes pie is of \frac{2}{7}

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Researching the problem on the internet, it is found that of the 14 students that like cake, 4 also like pie, hence the probability is given by:

p = 4/14 = 2/7.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ4

6 0
2 years ago
A rectangle is 6 feet long and 4 feet wide. If each dimension is increased by the same number of feet, a new rectangle is formed
Fofino [41]

Answer:

Each dimension increased by 3 ft.

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Increased dimension = x ft

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New width = 4 +x

New area = (6 + x)(4 +x)    {Use FOIL method}

                = 6*4 + 6*x + x*4 + x*x

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                = x² + 10x + 24

New area = 24 + 39

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x² +10x + 24 - 63 = 0

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x² + 13x - 3x  - 3*13 = 0

x (x + 13) - 3(x + 13) = 0

(x + 13)(x -3) = 0   {Ignore x + 13, as it gives negative value}

x - 3 = 0

x = 3

5 0
3 years ago
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