Based on the charged amount, Lupita drove 8.76 miles.
Let us assume the number of miles rode bh Lupita be x. Forming the equation now -
Total charge = flat rate + cost per mile × number of miles
Keep the values in above mentioned equation to find the value of x
40.03 = 6.75 + 3.20×x
Rewriting the equation with respect to x
3.20x = 40.03 - 6.75
3.20x = 33.28
Shifting 3.20 to Right Hand Side of the equation
x = 33.28 ÷ 3.20
Performing division on Right Hand Side of the equation
x = 8.76 miles
Thus, Lupita drove 8.76 miles.
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The table represents an exponential function given by:
<h3>
Is the function exponential or quadratic?</h3>
Here we have the table:
x f(x)
0 24
1 12
2 6
3 3
First, notice that for each unit that x increases, the value of f(x) decreases by its half.
This is clearly an exponential equation, whose base must be equal to (1/2).
And because when x = 0, f(0) = 24, we know that the initial value of the function is 24.
Then the exponential function is:
Such that:
Concluding, the table represents an exponential function.
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Answer:
440 ≤ x ≤560
Step-by-step explanation:
- |x−500|≤60
- Rewrite it as a compound inequality−60≤x−500≤60
- Solve for X by adding 500 to each side. -60+500≤x-500+500≤60+500
- Leaving you with 440≤x≤560
- Answer: The coffee shop is expected to serve a maximum of 560 customers and a minimum of 440 customers per morning.
Answer: V = 4500 cubic units or units^3
Step-by-step explanation:
So far, we know that the givens are:
a height of 30cm, a length of 15cm, and a width of 10cm
So we have to find the volume. The formula for volume is just V = lwh which means that the volume equals the length times the width times the height.
V = (l)(w)(h)
Now, all you have to do is to substitute the given numbers into the equation:
V = (15)(10)(30)
Simplify that:
V = 4500
Put it in the terms:
V = 4500 cubic units or units^3
Hence your answer!
