4 500-60 = 4 440
4 440/38 = 116.8
At most they would be able to invite 116 people to the reception with their budget.
Answer:

Step-by-step explanation:
![\sf{3[ x + 3(4x - 5)] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%20x%20%2B%203%284x%20-%205%29%5D%20%20%3D%2015x%20-%2024%7D)
Distribute 3 through the parentheses
⇒![\sf{3[ x + 12x - 15 ] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%20x%20%2B%2012x%20-%2015%20%5D%20%20%3D%2015x%20-%2024%7D)
Collect like terms : 12x and x
⇒![\sf{3[ 13x - 15 ] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%2013x%20-%2015%20%5D%20%20%3D%2015x%20-%2024%7D)
Distribute 3 through the parentheses
⇒
Move 15x to left hand side and change it's sign
Similarly, move 45 to right hand side and change it's sign
⇒
Collect like terms
⇒
Calculate
⇒
Divide both sides of the equation by 24
⇒
Calculate
⇒
Hope I helped!
Best regards! :D
107 m
Step-by-step explanation:
Step 1:
Here the microscope magnifies by 10 times.
The initial length is 10.7 m
Step 2:
Let the object be magnified by 10 times . Then, 10 × 10.7 = 107