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hoa [83]
2 years ago
6

Solve m=10x−x for x.

Mathematics
1 answer:
arsen [322]2 years ago
6 0

Answer:

x=m/9

Steps:

m=9x

m/9=x

x=m/9

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The price of an mp3 player is reduced to three-fourths of its original price. The new price is $75. Find the original price of t
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The original price of the mp3 player would be $150

Step-by-step explanation:


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4 years ago
What is the product of i^2(2i^2-5)
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Sorry this just got deleted :( ill post it again

i^2(2i^2 - 5)

= 7 

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What is n? Stick around for more points
amm1812

N is a variable in algebra. Variables are letters that represent unknown numbers. Variables can be any letter of the alphabet.

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3 years ago
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3 0
3 years ago
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You are designing an open-top cylindrical container. The cylinder must have a volume of 81π cm3 . The bottom of the container mu
stira [4]

Answer:

Minimum dimensions are r=3cm, h=9cm

Minimum Cost=$254.47

Step-by-step explanation:

Volume of a Cylinder=πr²h

Volume of the Open Top Cylinder=81π cm³.

Therefore:

πr²h=81π

The bottom costs $3 per cm² and the side costs $1 per cm².

Total Surface Area of the open top Cylinder= πr²+2πrh

Cost, C=3πr²+2πrh

As the Volume is fixed.

πr²h=81π

r²h=81

h=81/r²

Modifying C,

C=3\pi r^{2}+2 \pi r \frac{81}{r^{2}}

C=3\pi r^{2}+ \frac{162 \pi}{r}

We differentiate C with respect to r

C'=6\pi r -\frac{162 \pi}{r^2}

At the minimum cost, C'=0.

Next we solve C'=0 for r

6\pi r -\frac{162 \pi}{r^2}=0

6πr³-162π=0

6πr³=162π

r³=27

r=3

The dimensions of the cylinder at minimum cost are therefore:

r=3 cm

h=81/9=9cm

The minimum cost of the Cylinder

C=3πr²+2πrh

=(3XπX3²)+(2XπX3X9)

=$254.47

8 0
4 years ago
Read 2 more answers
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