Answer:
ranges from 2890 miles to 5780 miles.
Step-by-step explanation:
Let us call
the number of miles the car travels, and
the number of gallons of gas that are used, then we have the relationship
<em>(this says the car travels 17 miles for each gallon of gas).</em>
Now, when
, we have


and when
, we have


So, when
goes from 170 to 340,
goes from
to
.
Therefore, when
ranges from 170 to 340 gallons, the distance traveled ranges from 2890 to 5780 miles.
Answer:
Step-by-step explanation:
The verbiage "five and nine tenths" can refer to the mixed number 5 9/10, or to the decimal in standard form, 5.9. Simply converting the phrase to a decimal gets you the standard form.
The expanded form can be written a number of ways, depending on how you like to show the place value multipliers. The simplest expanded form is simply the sum of the digits:
5 + 0.9
You can show the multipliers in standard form:
5×1 + 9×0.1
Or, you can show the multipliers in exponential form:
5×10⁰ +9×10⁻¹
Answer:
Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.
Step-by-step explanation:
We are given the following information in the question:
The marginal price per pound (in dollars) is given by:

where x is the supply in pounds.

The coffee shop is willing to supply 9 pounds per week at a price of $7 per pound.
Thus, we are given that
P(9) = 7
Putting the values, we get,


Now, we have to find how many pounds it would be willing to supply at a price of $4 per pound.
P(x) = 4

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.
Answer:
Recall that gas will always take the shape and volume of its container.
Volume of sphere or gas = 4/3.πR³ = 4π/3 x 0.521³, V = 0.59 m³
Density of the gas, D = mass / volume = 107kg / 0.59m³ , D = 180.60 kg/m³
The density of the compressed gas = 180.60 kg/m³