Answer:
-1, |-2|, |-3|, |3.5|, |3²|
Step-by-step explanation:
- Calculate the absolute value (the absolute value of any number is always positive): 3, 3², 2 , 3.5, -1
- Calculate the exponents : 3, 9, 2 , 3.5, -1
- Put in order least to greatest : -1, |-2|, |-3|, |3.5|, |3²|
Harold incorrectly completed the assignment.
Answer: The cost of each pound of jellybean is $2.5
The cost for each pound of trail mix is $1.5
Step-by-step explanation:
Let the cost for each pound of jellybeans be x.
Let the cost of each pound of trail mix be y.
Based on the information given, we can form an equation which will be:
For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. This will be:
2x + 12y = 23 ...... i
For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. This will be:
5x + 3y = 17...... ii
2x + 12y = 23 ...... i
5x + 3y = 17...... ii
Multiply equation i by 5
Multiply equation ii by 2
10x + 60y = 115 ...... iii
10x + 6y = 34 ..... iv
Subtract iv from iii
54y = 81
y = 81/54
y = 1.5
The cost for each pound of trail mix is $1.5
From equation i
2x + 12y = 23
2x + 12(1.5) = 23
2x + 18 = 23
2x = 23 - 18
2x = 5
x = 5/2 = 2.5
The cost of each pound of jellybean is $2.5
The answer is <span>B) 4,608cm^3
The volume of the square pyramid is:
V = a</span>² * h / 3
a - the side length of the base
h - the height of the pyramid.
Since it is inside the cube, then a = h = 24 cm.
So:
V = 24² * 24 / 3 = 13,824 / 3 = 4,608 cm³
