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stira [4]
3 years ago
10

87 less than the quotient of an unknown number and 43 is -75

Mathematics
1 answer:
choli [55]3 years ago
8 0
The statement is expressed algebraically as
(x/43) - 87 = -75
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Please help me and show your work!!
11Alexandr11 [23.1K]
\bf \cfrac{\sqrt{250x^{16}}}{\sqrt{2x}}\qquad 
\begin{cases}
250=2\cdot 5\cdot 5\cdot 5\\
\qquad 2\cdot 5\cdot 5^2\\
x^{16}=x^{8\cdot 2}\\
\qquad (x^8)^2
\end{cases}\implies \cfrac{\sqrt{2\cdot 5\cdot 5^2\cdot (x^8)^2}}{\sqrt{2\cdot  x}}

\bf \cfrac{5x^8\sqrt{2\cdot 5}}{\sqrt{2}\cdot \sqrt{x}}\implies \cfrac{5x^8\underline{\sqrt{2}}\cdot \sqrt{5}}{\underline{\sqrt{2}}\cdot \sqrt{x}}\implies \cfrac{5x^8\sqrt{5}}{\sqrt{x}}\impliedby 
\begin{array}{llll}
\textit{and rationalizing the}\\
\textit{denominator}
\end{array}

\bf \cfrac{5x^8\sqrt{5}}{\sqrt{x}}\cdot \cfrac{\sqrt{x}}{\sqrt{x}}\implies \cfrac{5x^8\sqrt{5}\cdot \sqrt{x}}{(\sqrt{x})^2}\implies \cfrac{5x^8\sqrt{5x}}{x}\implies 5x^8x^{-1}\sqrt{5x}
\\\\\\
5x^{8-1}\sqrt{5x}\implies 5x^7\sqrt{5x}
4 0
4 years ago
If 40 is increased to 56, what is the percent of change?
Andrews [41]
The percent of change is 71%
8 0
3 years ago
How do you solve 8n²-4n=18?
Pie
Step1.8 x 8=64+64=128
4 0
3 years ago
Kate wants to buy a bike that costs $250. She has $40 saved. She will also do 5 days of yard work earning $38 for each day. Will
Alex Ar [27]
Unfortunately, Katie will be $20 short

She has $40
Plus the $38 x 5 she will be earning which is $190
$190+$40 is $230

Looks like Kate needs one more day of hard work to get her bike ; )
4 0
3 years ago
Read 2 more answers
Find the volume of the figure. Round your answers to the nearest tenth. It is recommended you use the π button on your calculato
Rom4ik [11]

Answer:

628.3 mi ³

Step-by-step explanation:

The formula for the volume of a cylinder is equal to πr²h, where r represents the radius of a circle on either the top/bottom of the cylinder and h represents the height. Here, the radius is given as 5 and the height as 8, so our volume is

πr²h = π (5)² h= π(25)(8) ≈ 628.3

4 0
3 years ago
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