Answer:
Step-by-step explanation:
<h3> <em><u>The complete exercise is: "At the cocession stand, medium sodas cost $1.25 and hot dogs cost $2.50. Jack bought 2 medium sodas snd 2 hot dogs. He paid with $20. What was his change?"</u></em></h3>
You need to analize the information provided in the exercise.
You know that the price of a medium soda was:
And the price of a hot dog was:
Therefore the total amount of money Jack spent in 2 medium sodas and 2 hot dogs, was:
Since Jack paid with $20, you need to subtract the total amount of money calculated before from $20, in order to calculate his change.
Therefore, you get that Jack's change was:
Answer:
The motorist's average rate in the morning trip was 50 mph and that for the afternoon trip was 25 mph.
Step-by-step explanation:
Let the motorist's average rate in the afternoon = <em>x</em> mph.
It is given that his average rate in the morning was twice his average rate in the afternoon.
Therefore, his average rate in the morning = 2<em>x</em> mph.
Let <em>t</em> be the time taken for the morning trip.
It is given that he spent 5 hours for driving.
So, the time taken by him for the afternoon trip = 5 - <em>t</em>.
Now, using the formumla, ,
the verbal model for the morning trip is:
<em>xt</em> = 75
The verbal model for the afternoon trip is:
5<em>x</em> - <em>xt</em> = 50
Substituting <em>xt</em> = 75, we get,
5<em>x</em> - 75 = 50
5<em>x</em> = 125
<em>x</em> = 25
2<em>x</em> = 50
Hence, his average rate in the morning trip was 50 mph and that for the afternoon trip was 25 mph.
Answer:
f(a) = 1,5
Step-by-step explanation:
-3a + 6b = a + 4b
[+3a] [+3a]
6b = 3a + 4b
[-4b] [-4b]
2b = 3a
[÷2] [÷2]
b = 1,5a
Answer:
It is A the first quadrant
Step-by-step explanation:
Answer
P = 147 million
Step by step explanation
P = Po r^t -------------(1)
Po initial population, r = rate, t = number of years
Here P = 139, Po = 134, t = 10.
Now plug in these values into the formula and find the rate r.
139 = 134r^10
r^10 = 139/134
r = (139/134)^1/10
Now we got r, now plug in the equation (1)
Let's find the population in the year 2014, here t = 24
P = 134 (139/134)^(24/10)
P = 134(139/134)^(2.4)
P = 134*1.1
P = 147.4
P = 147 million
The country's population in 2014 is 147 million (estimation).
Thank you.