Answer: nickels = 13, dimes = 7, quarters = 14
<u>Step-by-step explanation:</u>
First, set up the equations for each coin:
Next, the sum of the coins is $4.85 so substitute and solve for the variable:
Nickels + Dimes + Quarters = Sum
(0.30 + 0.05d) + 0.10d + 0.50d = 4.85
0.30 + 0.65d = 4.85
0.65d = 4.55
d = 7
Lastly, plug the d-value into the quantity equation for the nickels and quarters to find their quantity.
nickels: 6 + d = 6 + (7) = 13
quarters: 2d = 2(7) = 14
Answer:
Yes
Step-by-step explanation:
Switch x for 6:
(6)-8=-2
Subtract 6 from 8:
-2=-2
-2 does equal -2 so 6 is a solution.
Answer:
Molar mass = 254.60g/mol
Step-by-step explanation:
Mass = 8.02g
Volume = 812mL = 0.812L
Pressure (P) = 0.967atm
Temperature of the gas = 30°C = (30 + 273.15)K = 303.15K
Molecular weight = ?
To solve this question, we'll have to use ideal gas equation, PV = nRT
P = pressure of the gas
V = volume of the gas
n = number of moles of the gas
R = ideal gas constant = 0.082J/mol.K
T = temperature of the gas
PV = nRT
n = PV / RT
n = (0.967 * 0.812) / (0.082 * 303.15)
n = 0.7852 / 24.8583
n = 0.0315 moles
Number of moles = mass / molarmass
Molarmass = mass / number of moles
Molar mass = 8.02 / 0.0315
Molar mass = 254.60g/mol
The molar mass of the gas is 254.60g/mol
Answer:
A.
{-4 ≤ x ≤ 4}
{-4 ≤ y ≤ 4}
Step-by-step explanation:
We’ll domain is the amount of x values,
Range is the amount of y values
_______________________________
Domain:
Starts from -4 to 4
{-4 ≤ x ≤ 4}
I made the sign less than or equal to because the circle lines are solid.
Range:
This starts from -4 to 4 also.
{-4 ≤ y ≤ 4}
<em>Thus,</em>
<em>answer choices A. is correct</em>
<em />
<em>Hope this helps :)</em>
Answer:
45
Step-by-step explanation:
Ratio is 5:3
So total ratio "parts" is 5 + 3 = 8
In total there are 120 dogs served, so each part is:
120/8 = 15 dogs
Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:
3 * 15 = 45 footlong hotdogs
