Answer:
2⁵× 2ˣ = 256
x= 3
(1/3)² (1/3)ˣ = 1/729
x= 4
Step-by-step explanation:
2⁵× 2ˣ = 256
x= 3
use Product Rule: xᵃxᵇ=xᵃ⁺ᵇ
convert both sides to the same base.
2⁵⁺ˣ = 2⁸
cancel the base of 2 on both sides.
5+x=8
subtract 5 from both sides.
x=8-5
simplify 8-5 3.
x=3
(1/2)² (1/3)ˣ = 1/729
x = 4
use division distributive property: (x/y)ᵃ=xᵃ/yᵃ
i hope this helped i didn't feel like typing the rest out though lol :(
Answer:
∠RST = 40°
Explanation:
We are given that:
SQ bisects angle RST.
This means that:
∠QST = ∠QSR
2x = 3x - 10
10 = 3x - 2x
x = 10
Therefore:
∠QST = 2x = 2(10) = 20°
∠QSR = 3x - 10 = 3(10) - 10 = 30 - 10 = 20°
Note that both angles are equal.
Now, we can get ∠RST as follows:
∠RST = ∠QST + ∠QSR
∠RST = 20 + 20 = 40°
Hope this helps :)
The practice will end at exactly 4:00 .
Answer:
x = 2
Step-by-step explanation:
How to find "x"
3x = 4 + 2(3 - x) *Remove the parentheses*
3x = 4 + 6 - 2x *Calculate*
3x = 10 - 2x *Move the variable to the left*
3x + 2x = 10 *Collect the terms*
5x = 10 *Divide both sides*
x = 2
I hope the helped!!!
Answer:
30 blocks
Step-by-step explanation:
60 minutes = 1 hour
For one hour, she will walk 7.5 blocks.
The rate is 7.5blocks per hour.
Multiply this by 4 hours, and you will get 30 blocks.
(7.5)4 = 30