Acab company calculates cab fares using the expression 1.50d + 3, where d is the distance traveled in miles. if a passenger has to pay a $21 fare for a ride, which number from the set {9, 12, 15, 18} is the value of d?

12

Step-by-step explanation:

Given : A cab company calculates cab fares using the expression 1.50d + 3, where d is the distance traveled in miles.

To Find: If a passenger has to pay a $21 fare for a ride, which number from the set {9, 12, 15, 18} is the value of d?

Solution:

Cab fare Expression :

Where d is the distance traveled in miles.

Now we are given that a passenger has to pay a $21 fare for a ride

So,

Thus the value of d is 12 .

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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large crystals result from very slow cooling.

evaporation of water: this would produce an evaporite which is a sedimentary rock. like a salt pan in a desert. not possible to have volcanic rocks originate this way.

crystalization in molten earth: slow cooling over time. (hundreds to millions of years)

crystalization at earth's surface: this results in fast cooling. (a few hours to a few months or years)

crystalization from cooling off hot water: that would be a hydrothermal deposit. while associated with volcanics they are not volcanic rocks themselves and usually occur fairly rapidly.