Question

Срочно! Готовится большой космический проект, требующий внушительных затрат. НАСА, Независимый Космос и Роскосмос вложились в этот проект в отношений 7:10:2. В последний момент Независимый Космос от участия в проекте отказался, 2/5 части его доли оплатило НАСА, а остальное Роскосмос. Оказалось, что в итоге разница между вложениями НАСА и Роскосмоса составила 6 млрд долларов. Какова стоимость проекта?

Answer 1

Ответ:7,2
Пошаговое обьяснение:правильно

Answer 2

Calculation of Project Cost

To calculate the cost of the project, we need to determine the total amount invested by NASA, Independent Space, and Roscosmos. According to the given information, the investment ratio is 7:10:2 between NASA, Independent Space, and Roscosmos, respectively. However, Independent Space withdrew from the project at the last moment, and 2/5 of its share was paid by NASA, while the remaining portion was paid by Roscosmos.

Let's break down the calculation step by step:

1. Determine the total investment by NASA: - NASA's share is 7/19 (7 out of 19 parts) of the total investment. - Since 2/5 of Independent Space's share was paid by NASA, the effective share of NASA becomes 7/19 + 2/5 * 2/19. - Simplifying the calculation, we get NASA's effective share as 14/38.

2. Determine the total investment by Roscosmos: - Roscosmos's share is 2/19 (2 out of 19 parts) of the total investment. - Since 3/5 of Independent Space's share was paid by Roscosmos, the effective share of Roscosmos becomes 2/19 + 3/5 * 2/19. - Simplifying the calculation, we get Roscosmos's effective share as 10/38.

3. Calculate the difference in investment between NASA and Roscosmos: - The difference in investment between NASA and Roscosmos is given as $6 billion.

4. Calculate the total cost of the project: - Let's assume the total cost of the project as "x" dollars. - The effective share of NASA is 14/38 of the total cost, which can be expressed as (14/38) * x. - The effective share of Roscosmos is 10/38 of the total cost, which can be expressed as (10/38) * x.

Now, we can set up an equation to solve for the total cost of the project:

(14/38) * x - (10/38) * x = $6 billion

Simplifying the equation:

(4/38) * x = $6 billion

To find the value of x, we can multiply both sides of the equation by (38/4):

x = ($6 billion) * (38/4)

Calculating the value:

x = $57 billion

Therefore, the estimated cost of the project is $57 billion.