Answer:
p = 5,624
Step-by-step explanation:
(32,476 + p) / 381 = 100
multiply both sides by 381
32,476 + p = 38,100
Subtract 32476 from both sides
p = 5,624
Answer:
95 nickels 19 dimes
Step-by-step explanation:
d=dimes
5d=nickels
0.05(5d) + 0.10(d) = 6.65
0.25d + 0.10d = 6.65
0.35d=6.65
Divide by 0.35
d= 19 (19 coins)
19 dimes =$1.9
6.65-1.9= $4.75
Nickels=$4.75
4.75/0.05 = 95 coins
19*5=95
114 coins in total
19*0.10 = 1.9
95*0.05=4.74
4.75+1.9= 6.65
Answer:
- volume: 252 cm³
- mass: 2167.2 (units not specified)
Step-by-step explanation:
The volume of a cuboid is given by the product of its dimensions. Here, that is ...
(12 cm)·(6 cm)·(3.5 cm) = 252 cm³
We are told the mass of each cm³ is 8.6, so 252 of them will have a mass of ...
8.6·252 cm³ = 2167.2 . . . . . no units specified
Answer:
19 nails
Step-by-step explanation:
Let's first determine the z-score by using the formula:

Where x=5.03, μ=5, σ=0.03 and so:

We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%. This means that 84.13% of the nails are less than or equal to 5.03 inches long. Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587. This means that 15.87% of the 120 nails are greater than 5.03 inches long.
Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

And so 19 out of the 120 nails are greater than 5.03 inches long.
Answer:
B.) x2+4x+4
Step-by-step explanation:
(x+2)2
(x+2)(x+2)
x2+2x+2x+4
x2+4x+4