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3 years ago

5

What is the answer to 7n + 3 = 3n + 27

2 answers:

timama [110]3 years ago

8 0

$7n+3=3n+27 \\\\ 7n-3n=27-3 \\\\ 4n=24 \\\\ \boxed{n=\frac{24}{4}=6}$

bija089 [108]3 years ago

8 0

First what you want to do is isolate the n, so to do that, get rid of 3n on the right by subtracting it from both sides. You now have 4n+3=27. Now get rid of 3 by subtracting it from both sides. Now the equation is 4n=24. Divide both sides by 4 and you get n=6.

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uppose we want to build a rectangular storage container with open top whose volume is $$ cubic meters. Assume that the cost of m

Ainat [17]

Answer:

a = length of the base = 2.172 m

b = width of the base = 1.357 m

c = height = 4.072 m

Step-by-step explanation:

Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?

lets call a = length of the base

b = width of the base

c = height

V = a.b.c = 12

Area without the top:

Area = ab + 2bc + 2ac

Cost = 12ab + 8.2bc + 8.2ac

Cost = 12ab + 16bc + 16ac

height = 3.width

c = 3b

Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab

abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²

Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b

C(b) = 48b² + 240/b

C'(b) = 96b - 240/b²

Minimum cost: C'(b) = 0

96b - 240/b² = 0

(96b³ - 240)/b² = 0

96b³ - 240 = 0

96b³ = 240

b³ = 240/96

b³ = 2.5

b = 1.357m

c = 3b = 3*1.357 = 4.072m

a = 4/b² = 2.172m

6 0

4 years ago

Bill is planning to paint the back of his house. What is the total area that he will be painting?

Darina [25.2K]

Answer:

A- 462.86

Step-by-step explanation:

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3 years ago

PLEASE HELP ME I NEED THIS ANSWER FOR ALGEBRA!

Marizza181 [45]

Answer:

$radius = 6.2$

Step-by-step explanation:

so you already have the formula, which is

$\sqrt[3]{ \frac{3v}{4\pi} }$

the v represents Volume.

and 3v would be 3×volume.

$\sqrt[3]{ \frac{3 \times 1000}{4 \times \pi} }$

$\sqrt[3]{ \frac{3000}{12.56637061} }$

$\sqrt[3]{238.7324147 }$

$= 6.20350491$

to the nearest tenth place.

$= 6.2$

4 0

3 years ago

Help asap please!!!!!!

Andrews [41]

Step-by-step explanation:

[(-3 × 2 × (-4)] ÷ [-6 × 12]

[3 × 2 × -4] ÷ [-6 × 12]

[6 × -4]/[-6 × 12]

-4/(-1 × 12]

-4/-12

⅓

Option A is wrong

Option B is wrong -9/-18 = ½ not ⅓

Option C is correct = -24/-72 = ⅓

Option D is wrong = 9/-18 = -½ not ⅓

3 0

3 years ago

Solve the quadratic equation by square roots:<br><br> 1. 4x²= 81<br> 2. (4x-3)²+7=39

Nataly [62]

Answer:

see explanation

Step-by-step explanation:

(1)

given

4x² = 81 ( divide both sides by 4 )

x² = $\frac{81}{4}$ ( take the square root of both sides )

x = ± $\sqrt{\frac{81}{4} }$ = ± $\frac{9}{2}$

---------------------------------------------------------------------

(2)

subtract 7 from both sides

(4x - 3)² = 32 ( take the square root of both sides )

4x - 3 = ± $\sqrt{32}$ = ± 4 $\sqrt{2}$

Add 3 to both sides

4x = 3 ± 4 $\sqrt{2}$ ( divide both sides by 4 )

x = $\frac{3}{4}$ ± $\sqrt{2}$

7 0

3 years ago