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Kisachek [45]
3 years ago
8

The length of a rectangle is x. The width of the rectangle is (x + 10). Write an expression for the area of the rectangle.

Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

A=x^2+10x

Step-by-step explanation:

<u>Area of a Rectangle</u>

Given a rectangle of width W and length L, its area can be calculated with the formula:

A = WL

We are given the length of a rectangle is L=x and the width is W=x+10, thus the area is:

A=x(x+10)

Multiplying:

\mathbf{A=x^2+10x}

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Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum o
Blizzard [7]

We are given these three people age below:

  • Jim's age
  • Carla's age
  • Tomy's age

We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.

  • Jim's age = x

Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.

  • Carla's age = x+5

Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).

  • Tomy's age = 6+(x+5)

The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

\large{x + x + 5 + 6 + x + 5 = 31}

Combine like terms and solve for x.

\large{3x + 16 = 31}  \\  \large{3x = 31 - 16} \\  \large{3x = 15} \\  \large{x = 5}

Then we substitute the value of x in ages to find these three people ages.

  • Jim's age = x = 5
  • Carla's age = x+5 = 5+5 = 10
  • Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.

Answer

  • Jim's age = 5
  • Carla's age = 10
  • Tomy's age = 16
4 0
3 years ago
Plssss help me asap <br><br>use multiplication to solve the proportions​
e-lub [12.9K]

Answer:

N=15

Step-by-step explanation:

Becuase math is math

7 0
3 years ago
What does y= -2+1 mean in slope
lianna [129]

Answer: Y=-1 which means on a graph it would be a horizontal line on the point of (0,-1)

Step-by-step explanation:

6 0
3 years ago
write a function to model the volume of a rectangular prism if the length is 10cm and the sum of the width and height is 18cm.
Musya8 [376]
Let the length be l, width w and height h, then
Volume = length x width x height
l = 10cm, w + h = 18cm

V(h) = 10(18 - h)h = 180h - h^2
V(h) = 180h - h^2
8 0
3 years ago
If the population of a particular country is growing at 3.2 % compounded​ continuously, how long will it take the population to
Lisa [10]

Answer:

It will take 34.33

Step-by-step explanation:

* Lets talk about the compound continuous growing

- Compound continuous growing can be calculated using the formula:

 A=Pe^{rt}

# A = the future value

# P = the initial amount

# r = the growing rate  in decimal

# t = the time

* Lets solve the problem

- The population of a particular country is growing at 3.2 %

 compounded​ continuously

∴ r = 3.2/100 = 0.032

- We need to find how long will it take the population to triple​

∵ The initial population is P

∴ A = 3P

∵ A=Pe^{rt}

∴ 3P=Pe^{0.032t}

- Divide both sides by P

∴ 3=e^{0.032t}

- Insert ㏑ for both sides

∴ ln(3)=ln(e^{0.032t})

- Remember ln(e^{n})=n

∴ ㏑(3) = 0.032t

- Divide both sides by 0.032

∴ t = ㏑(3)/0.032 = 34.33

* It will take 34.33

8 0
3 years ago
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