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antiseptic1488 [7]
3 years ago
12

Vijay needs to take a taxi, which costs a flat fee of 333 dollars, plus an additional 444 dollars per mile. If Vijay has aaa dol

lars with him, which inequality shows the number of miles, mmm, he can afford to travel in the taxi?
SAT
1 answer:
Rainbow [258]3 years ago
8 0

Answer:

x \leq 0.25a-0.75

Explanation:

Let

x -----> the number of miles

we know that

The total miles multiplied by $4 per mile plus the flat fee of $3 must be less than or equal to a

so

The inequality that represent this situation is

4x+3 \leq a

Solve for x

Subtract 3 both sides

4x \leq a-3

Divide by 4 both sides

x \leq 0.25a-0.75

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Assuming ideal solution behavior, how many liters of hcl gas, measured at 30. 0 °c and 745 torr, are required to prepare 1. 25 l
Nostrana [21]

The volume of HCl gas required to prepare the solution is 101.54 L

<h3>How to determine the mole of HCl </h3>
  • Volume of solution = 1.25 L
  • Molarity = 3.20 M
  • Mole of HCl =?

Mole = Molarity x Volume

Mole of HCl = 3.2 × 1.25

Mole of HCl = 4 moles

<h3>How to determine the volume of HCl </h3>
  • Number of mole (n) = 4 moles
  • Temperature (T) = 30 °C = 30 + 273 = 303 K
  • Pressure (P) = 745 torr = 745 / 760 = 0.98 atm
  • Gas constant (R) = 0.0821 atm.L/Kmol
  • Volume =?

Using the ideal gas equation, the volume of the HCl gas can be obtained as follow:

PV = nRT

Divide both side by P

V = nRT / P

V = (4 × 0.0821 × 303) / 0.98

V = 101.54 L

Learn more about ideal gas equation:

brainly.com/question/4147359

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An enzyme speeds up a chemical reaction in the cell but can only be used once.
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