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3 years ago

What would be the solution for x inequality 47-4x<7

Mathematics

2 answers:

sladkih [1.3K]3 years ago

7 0

Answer:

x > 10

Step-by-step explanation:

Given

47 - 4x < 7 ( subtract 47 from both sides )

- 4x < - 40

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.

x > 10

Viefleur [7K]3 years ago

4 0

Answer:

x>10

Step-by-step explanation:

Think of this as an equation:

47-4x<7

Add 4x to both sides:

47<7+4x

Subtract 7 from both sides:

40<4x

Divide both sides by 4:

x>10

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Find the volume of the sphere. express your answer in term of Pie

IceJOKER [234]

Answer:

$\large\boxed{36\pi}$

Step-by-step explanation:

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

R - radius

We have R = 3 ?. Substitute

$V=\dfrac{4}{3}\pi(3^3)=\dfrac{4}{3}\pi(27)=(4)\pi(9)=36\pi$

If the radius is 30, then the volume is:

$V=\dfrac{4}{3}\pi(30^3)=\dfrac{4}{3}\pi(27,000)=(4)\pi(9,000)=36,000\pi$

If 30 is the length of diameter, then the radius R = 30 : 2 = 15.

Therefore the volume:

$V=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3,375)=(4)\pi(1,125)=4,500\pi$

3 0

3 years ago

Plz ans asap i havd limited time ill give brainliest

Artemon [7]

Answer:

C. $128

Step-by-step explanation:

320 x 0.5 = 160

320 - 160 = 160

160 x 0.20 = 32

160 - 32 = 128

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Step-by-step explanation:

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How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

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$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
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S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
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r=\textit{common ratio}\\
----------\\
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\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
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\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
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