Let the number be x. "Three times a number increased by 10" is mathematically translated as
3x + 10
"is equal" is mathematically translated as twenty less than six times the number" is mathematically translated as
6x - 20
The whole sentence "Three times a number increased by ten is equal to twenty less than six times the number" is translated as
3x + 10 = 6x - 20
We now solve the above linear equation to find the number x
3x - 6x = - 20 - 10
- 3x = - 30
x = 10
Check answer
Three times a number increased by ten : 3 × 10 + 10 = 40
Twenty less than six times the number : 6 × 10 - 20 = 40
X = 11.7
Hope this helped! :)
Answer:
x = 1+√3 i/2 and x = 1-√3 i/2
Step-by-step explanation:
Given the expression x^2 - x+ 1, we are to factorize the expression as shown;
x^2 - x+ 1,
using the general formula
x = -(-1)±√1²-4(1)/2(1)
x = 1±√1-4/2
x= 1±√-3/2
x = 1±√3 i/2
Hence the required value of x are x = 1+√3 i/2 and x = 1-√3 i/2
The volume of a large aquarium is 210 ft. Is
Answer:
68,643
Step-by-step explanation:
work backwards
261×263=68,643
68,643÷263=261