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3 years ago

8n-(2n-3)=12 solve for n

Mathematics

2 answers:

Feliz [49]3 years ago

7 0

8n-(2n-3)=12
8n-2n+3=12
6n=12-3
6n=9
n=9/6=3/2

PolarNik [594]3 years ago

6 0

8n - (2n - 3) = 12

8n - 2n + 3 = 12

6n + 3 = 12 |subtract 3 from both sides

6n = 9 |divide both sides by 6

n = 9/6

n = 3/2

n = 1.5

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dalvyx [7]

Answer:

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3 years ago

A 20% apple juice drink is mixed with a 100% apple juice drink. The function f(x)=(2)(1.0)+x(0.2)2+x models the concentration of

luda_lava [24]

Answer:

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Step-by-step explanation:

Given that:

20% apple juice drink is mixed with a 100% apple juice drink.

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represents the concentration of apple juice in the drink when $x$ gallons of 20% drink are added to 2 gallons of pure juice.

Also, given that 6 gallons of 20% drink are added to the 2 gallons of pure juice.

To find:

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Solution:

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$f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}$

and

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$f(x)=\dfrac{(2)(0.1)+6(0.2)}{2+6}\\\Rightarrow f(x)=\dfrac{0.2+1.2}{8}\\\Rightarrow f(x)=\dfrac{1.4}{8}\\\Rightarrow f(x)=\bold{0.175}$

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3 years ago

If cot theta= 4/3, find csc theta

Marrrta [24]

Answer: Option d.

Step-by-step explanation:

The trigonometric identity needed is:

$csc^2\theta=cot^2\theta+1$

Knowing that $cot\theta=\frac{4}{3}$ :

Substitute it into $csc^2\theta=cot^2\theta+1$ :

$csc^2\theta=(\frac{4}{3})^2+1$

Simplify the expression:

$csc^2\theta=(\frac{4}{3})^2+1\\\\csc^2\theta=\frac{16}{9}+1\\\\csc^2\theta=\frac{25}{9}$

Solve for $csc\theta$ . Apply square root at both sides of the expression:

$\sqrt{csc^2\theta}=\±\sqrt{\frac{25}{9}}$

$csc\theta=\frac{5}{3}$

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3 years ago

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sukhopar [10]

2(z-10)=-4
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nikklg [1K]

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3 years ago

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