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3 years ago

What is equation is equivalent to 6(3p-2)=20?

Mathematics

2 answers:

svlad2 [7]3 years ago

8 0

Answer:

$p = \frac{16}{9} \\$

Step-by-step explanation:

$6(3p - 2) = 20 \\ 18p - 12 = 20 \\ 18p = 32 \\ \frac{18p}{18} = \frac{32}{18} \\ p = \frac{16}{9}$

Simora [160]3 years ago

4 0

Answer:

$p=\frac{16}{9}$

Step-by-step explanation:

$6(3p-2)=20$

Distribute the brackets.

$6(3p)+6(-2)=20$

$18p-12=20$

Add $12$ on both sides.

$18p-12+12=20+12$

$18p=20+12$

$18p=32$

Divide $18$ on both sides.

$\frac{18p}{18}=\frac{32}{18}$

$p=\frac{16}{9}$

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3 years ago

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Simora [160]

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Step-by-step explanation

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3 years ago

The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, eac

nata0808 [166]

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

$\displaystyle A=\frac{1}{2}\pi r^2$

The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:

$\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx$

Substitute:

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$\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx$

Integrate:

$\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]$

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3 years ago