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2 years ago

Half of a number is three times the sum of a number ad five.

Mathematics

1 answer:

krek1111 [17]2 years ago

7 0

If you treat the number as x, then $\frac{1}{2}x=x+5\to-5=\frac{1}{2}x\to-10=x$ .

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–0.2(x – 20) = 44 – x

GarryVolchara [31]

$-0.2(x-20)=44-x\qquad\text{use distributive property}\\\\-0.2x+4=44-x\qquad\text{subtract 4 from both sides}\\\\-0.2x=40-x\qquad\text{add x to both sides}\\\\0.8x=40\qquad\text{divide both sides by 0.8}\\\\x=\dfrac{40}{0.8}\\\\x=\dfrac{400}{8}\\\\\boxed{x=50}$

5 0

2 years ago

Read 2 more answers

In the 1970s, due to world events, there was a gasoline shortage in the United States. There were often long lines of cars wai

barxatty [35]

Answer:

Part A: The average car length is 9.1 feet to the nearest tenth foot

Part B: The line would be 9100 feet to contained 1000 cars

Step-by-step explanation:

* Lets explain how to solve the problem

# Part A:

- There were 62 cars in a line that stretched 567 feet

- The cars are lined up bumper-to-bumper

- That means there is no empty spaces between the cars

* To find the average length of the car we will divide the length of

the line by the numbers of the cars

∵ The average car length = length of the line/number of cars

∵ The length of the line is 567 feet

∵ The numbers of the cars is 62 cars

∴ The average car length = 567/62 = 9.1 feet

* The average car length is 9.1 feet to the nearest tenth foot

# Part B:

- There are 1000 cars

- We need to find the length of line which contained the cars

∵ The average car length = length of the line/number of cars

∵ The average of car length is 9.1 feet

∵ The number of the cars is 1000 cars

∴ 9.1 = length of the line/1000

- Multiply both sides by 1000

∴ The length of the line = 9.1 × 1000 = 9100 feet

∴ The line would be 9100 feet to contained 1000 cars

7 0

3 years ago

What is the length of the hypotenuse of the right triangle if one side is 16in and one is 7in?

Ronch [10]

Answer:

hypotenuse = 17.46

Step-by-step explanation:

The Pythagorean Theorem is a^2+b^2=c^2.

Since we are finding the hypotenuse, we must plug in 16 and 7 since they represent the lengths of both side.

16^2+7^2=c^2

256+49=c^2

305=c^2

which means we have to find the square root of c^2 AND 305, round it to the nearest hundredth, which means that;

c=17.46

7 0

3 years ago

A mouse is trapped in a maze. To find his way out he walks 10 m, makes a 90° right turn, walks 5 m, makes another 90°, and walks

zimovet [89]

5.8m

use Pythagoras Theorem

4 0

3 years ago

Write an inequality to describe the region. The region between the yz-plane and the vertical plane x = 5

madreJ [45]

The inequality will be 0 < x < 5 .

Each line plotted on a coordinate graph divides the graph (or plane) into two half‐planes. Before graphing a linear inequality, you must first find or use the equation of the line to make a boundary line.

The y z - plane is represented by the equation x = 0 .

As the region is between the y z - plane and the vertical plane x = 5 , we will get the inequality 0 < x < 5 .

Therefore , the inequality will be 0 < x < 5 .

To learn more on inequality follow link :

brainly.com/question/24372553

#SPJ4

3 0

1 year ago