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2 years ago

What is x in 3.6x=1.6x+24

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

7 0

Answer:

x=12

Step-by-step explanation:

3.6x=1.6x+24

We simplify the equation to the form, which is simple to understand

3.6x=1.6x+24

We move all terms containing x to the left and all other terms to the right.

+3.6x-1.6x=+24

We simplify left and right side of the equation.

+2x=+24

We divide both sides of the equation by 2 to get x.

x=12

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The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

6 0

2 years ago

Robert sketches two rectangular prisms, A and B. Prism A's side lengths are 5 centimeters, 6 centimeters, and 7 centimeters. Pri

erik [133]

Answer:

Step-by-step explanation:

10+67

7586+65

576845=8757685

2+88=90

4 0

3 years ago

Find the circumference of a circle with a radius of 35 inches in terms of 7 and to the nearest tenth of an inch.

Lera25 [3.4K]

Answer and Step-by-step explanation:

The circumference formula for a circle is:

C = $2\pi r$

Plug 35 in for r (radius) and solve.

C = $(35) 2\pi\\\\C = 70\pi\\\\C = 219.9$

So, approximately 219.9 $in^2$ is the answer.

#teamtrees #PAW (Plant And Water)

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2 years ago

The minimume distance between two fences posts is 4feet.the maximum distane is 10 feet

jeka94

Is this the whole question?

8 0

3 years ago

What would be the concentration if we were to mix 200g of 10% sugar solution and 300g of 20% sugar solution?

Firdavs [7]

+ 200g of 10% sugar solution: there is 200*10%= 20 g
+ 300g of 20% sugar solution: 300*20%= 60 g
The total of sugar: 20+60= 80g
And The concentration is 80:(200+300)= 80:500= 16%
Have fun

6 0

3 years ago