5t + (t - 3) - [(7t + 5) - (8 - 3t)] (multiply -1 to (8 - 3t)

5t + (t - 3) - [(7t + 5) - 8 + 3t]

5t + (t - 3) - [7t + 3t + 5 - 8]

5t + (t - 3) - [10t - 3] (multiply -1 to [10t - 3]

5t + (t - 3) - 10t + 3

5t + t - 10t - 3 + 3

-4t
answer

8 0

3 years ago

Satellite

sammy [17]

The first missing quantity is force due to gravity, and it is 215.1 N.

The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.

<h3>Force between two masses</h3>

The force between two masses is determined by applying Newton's law of universal gravitation as shown below;

$F = \frac{GMm}{R^2}$

where;

M is mass of Earth = 5.97 x 10²⁴ kg
m is mass of the satellite
R is the distance between the satellite and the Earth
G is universal gravitation constant

<h3>First missing quantity</h3>

The first missing quantity is force due to gravity, and it is calculated as follows;

$F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N$

<h3>Second missing quantity</h3>

The second missing quantity is distance between the statellite and the Earth,

$R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km$

Learn more about Newton's law here: brainly.com/question/3999427

6 0

2 years ago

As treasurer of his school's FFA club, Kenny wants to buy gifts for all 18 members. He can buy t-shirts for $9 and sweatshirts f

DanielleElmas [232]

Kenny can buy 15 t shirts and 3 sweatshirts.

Step-by-step explanation:

Given,

Number of members = 18

Cost of each t shirt = $9

Cost of each sweatshirt = $15

Money = $180

Let,

x be the number of t shirts

y be the number of sweatshirts

According to given statement;

x+y=18 Eqn 1

9x+15y=180 Eqn 2

Multiplying Eqn 1 by 9

$9(x+y=18 )\\9x+9y= 162\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(9x+15y)-(9x+9y)=180-162\\9x+15y-9x-9y=18\\6y=18\\$

Dividing both sides by 6

$\frac{6y}{6}=\frac{18}{6}\\y=3$

Putting y=3 in Eqn 1

$x+3=18\\x=18-3\\x=15$

Kenny can buy 15 t shirts and 3 sweatshirts.

Keywords: linear equation, elimination method

Learn more about linear equations at:

#LearnwithBrainly

6 0

4 years ago