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2 years ago

Can someone help with this math problem? 3 (x+6) = 27

Mathematics

1 answer:

Ainat [17]2 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

Use distributive property: a(b +c) =(a*b) + (a*c)

3(x + 6) = 27

3*x + 3*6 = 27

3x + 18 = 27 {Subtract 18 from both sides}

3x + 18 -18 = 27 - 18

3x = 9 {Divide both sides by 3}

3x/3 = 9/3

x = 3

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Researchers measured the percent body fat and the preferred amount of salt (percent weight/volume) for several children. Here ar

Anon25 [30]

Answer: b) τ = 0.3

Step-by-step explanation:

Given the data :

Amount of salt (x)____% body fat(y)

0.2 _______________20

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3 years ago

A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs

LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

$h=\frac{400}{\pi r^2}$

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: $h=\frac{400}{\pi r^2}$

Therefore:

$C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})$

$C(r)=0.12\pi r^2+\frac{24}{r}$

$C(r)=\frac{0.12\pi r^3+24}{r}$

The minimum cost occurs when the derivative of the Cost =0.

$C^{'}(r)=\frac{6\pi r^3-600}{25r^2}$

$6\pi r^3-600=0$

$6\pi r^3=600$

$\pi r^3=100$

$r^3=\frac{100}{\pi}$

$r^3=31.83$

r=3.17 cm

Recall that:

$h=\frac{400}{\pi r^2}$

$h=\frac{400}{\pi *3.17^2}$

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

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3 years ago

What do you think Thomas Edison meant by the word perspiration? How do those words apply to what you've learned about businesses

EastWind [94]

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According to Thomas Edison, the superior intellect or creativity we associate with great minds comes from inspiration (the idea) and perspiration (hard work).

Perspiration literarily refers to the sweat that emanates as someone works hard.

Without a strong working ethic, it will be impossible to achieve great results from only the proposition of great ideas or business plans.

Learn more about Thomas Edison at brainly.com/question/26568016

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