Answer:
<em>x</em> = 4
Step-by-step explanation:
First you need to get a common base as your number.
The second number changed because 5 squared is 25. Changing it to this form gives us the same base number of 5. Now we use the distributive property in the exponent.
Now we can use this statement:
if 
Using this we solve:
9x = 8x+4
-8x -8x
<em>x</em> = 4
Hope it helps!
Answer:
13:16, 3:4, 5:8.
Step-by-step explanation:
The ratio of the current ages of two students Dylan and Mike is 3:4.
Let their ages are 3x and 4x respectively.
If Dylan had been 6 years younger and Mike 6 years older, the age of Mike would have been 6 times the age of Dylan.
Hence, we can write, 6(3x - 6) = (4x + 6)
⇒ 18x - 4x = 36 + 6
⇒14x = 42
⇒ x = 3
Therefore, the current age of Dylan is 3×3 =9 years and that of Mike is 3×4 =12 years.
Therefore, the ratio of Dylan's current age to Mike's current age is 3:4. The ratio of their ages in four years ago will be (9-4):(12-4) =5:8
The ratio of their ages in four years from now will be (9+4):(12+4) =13:16
Hence, the ratios in descending order is 13:16, 3:4, 5:8.
(Answer)
Answer:
x = 9
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle, then
the segment is half the length of the 3rd side , that is
3x = 0.5 × 54 = 27 ( divide both sides by 3 )
x = 9
Answer:
486 centimeters³
Step-by-step explanation:
Surface area of a cube = 6s²
Where,
s = side length
Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.
s = 9 centimeters
Surface area of a cube = 6s²
= 6 × 9²
= 6 × 81
= 486 centimeters³
Surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters 486 centimeters³
