Answer:
± 7
Step-by-step explanation:
Given
d = 
, then
d = 7 or - 7, that is ± 7
Since 7 × 7 = 49 and - 7 × - 7 = 49
Answer:
t ≤ 15
Step-by-step explanation:
Let t = tables
6 * 15 + 2* t ≤ 120
90 + 2t ≤ 120
2t ≤ 30
t ≤ 15
Answer:
- cylinder — 90π in³
- pyramid — 37 1/3 in³
- cone — 12.5π in³
Step-by-step explanation:
The volume of a cylinder is given by ...
V = Bh . . . . . where B is the base area and h is the height
The volume of a pyramid or cone is given by ...
V = (1/3)Bh . . . . . where B is the base area and h is the height
The area of a square of side length s is ...
A = s²
The area of a circle of radius r is ...
A = πr²
___
Using these formulas, the volumes of these objects are ...
cylinder: (9π in²)(10 in) = 90π in³
square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³
cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid
Given mass=1 kg, volume=400cm³, density=?
The formula for finding density is ρ=m/v where ρ is density, m is volume and vis volume
ρ=1kg/400cm³
ρ=0.0025kg/cm³
Therefore the density of the sand is 0.0025kg/cm³
Answer:
- 6 lb mixed nuts
- 4 lb chocolates
Step-by-step explanation:
Let m represent the quantity of mixed nuts in the mix. Then 10-m is the quantity of chocolates, and the total cost of the mix is ...
8m +3(10 -m) = 6(10)
5m = 30 . . . . . . . collect terms, subtract 30
m = 6 . . . . . . . divide by 5; pounds of mixed nuts
10-m = 4 . . . pounds of chocolates
Collins should use 4 pounds of chocolates and 6 pounds of mixed nuts in his trail mix.
