The school system spent 3^8 dollars on fuel for buses and school vehicles per week last year. This year, they spent 3^10 dollars per week. How many times more did they spend per week this year than last year?

9 times

Step-by-step explanation:

Given that :

Last year :

Amount spent = 3^8 dollars

This year:

Amount spent = 3^10 dollars

Number of times more spent per week this year than last year :

Amount spent this year / amount spent last year

3^10 / 3^8

= 59049 / 6561

= 9

9 times

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.