Answer:
Option D
Step-by-step explanation:
Option A:
(3)¹ × (3)⁻¹⁰ = (3)⁽¹⁻¹⁰⁾ = 3⁹
=
= 
Option B :
(3)⁻¹ × (3) ¹⁰ = 3⁽¹⁰⁻¹⁾
= 3⁹
= 19683
Option C :
(3⁻⁴) × (3)⁷ = 3⁽⁷⁻⁴⁾
= 3³
Option D :
3⁴ × 3⁻⁷ = 3⁴⁻⁷
= 3⁻³
=
=
Therefore, option D is the answer.
Answer:
19 orders of tea
57 orders of collee
Step-by-step explanation:
find 1/4 of the 76
76/4=19
multiply by 3
19x3=57
The content of care package would be a board game and several snack packs.
Given is the weight of board game = 4 pounds.
The weight of one snack pack =
The total weight would be less than 25 pounds.
Solving for part A :
Let 'x' represents the number of snack packs.
So the weight of all snack packs would be 0.5x pounds.
Now weight of care pack = weight of board game + weight of all snack packs.
weight of care pack = 4 + 0.5x
But total weight must be less than 25 pounds.
So the inequality would be: 4 + 0.5x < 25
Solving for part B :
Solving the inequality 4 + 0.5x < 25
⇒ 4 + 0.5x - 4 < 25 - 4
⇒ 0.5x < 21
⇒ x < 42
Solving for part C :
Since x < 42 and x is an integer number, so x = 41.
She can include maximum of 41 snack packs in the care package.
Answer:
Answer in the photo
Step-by-step explanation:
Just simplify the expression