Answer:
41 miles - 1 gallon
205 miles - 5 gallons
Step-by-step explanation:
If it requires 9 gallons to drive a 369-mile track, you can divide 369 miles by 9 to receive the distance possible with one gallon (369 miles ÷ 9 = 41 miles)
Divide 205 miles by 41 miles and you receive the amount of times to multiply the gallons needed for 41 miles (205 miles ÷ 41 miles = 5 gallons).
Answer:
speed of the boat = 29 mph
Step-by-step explanation:
In order to solve the problem, we need to recall the formula for speed (or velocity "v") of an object as the quotient between the distance (d) covered over the time (t) it takes to cover it:
Now we analyse the two different situations (downstream vs upstream) separately:
Downstream:
Considering that when the boat goes downstream (140 mile trip), it goes with the current, so its velocity (unknown v) couples (adds) to that of the current (6 mph) its total speed would be: v + 6 mph. Therefore we can use this information to write the equation for velocity given above, and solve for time:
Upstream:
In this case, the boat goes against the current, so its speed will be reduced by the current's speed of 6 mph, then its total speed will be: v - 6 mph. Recalling that in this case the boat travels 92 miles in the same time (t) it took it to do the downstream trip, we can write:
Now all we need to do is make these last two equations equal each other since the time used for each trip is the same. We can then solve for the actual speed (unknown v) of the boat:
The series formed by using exponential property we get :
What is Exponential Property?
- Properties of Exponents : It is also called power or degree.
- It tells us how many times the base will be multiplied by itself.
- The properties of exponents or laws of exponents are wont to solve problems involving exponents.
- These properties also are considered as major exponents rules to be followed while solving exponents.
Using exponential property on given values we get,
Complete series using exponent property is:
Learn more about exponential property here:
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The answer is the answer number 4 . Thanks
Answer:
1 cup of water will fill = of the plastic container.
Step-by-step explanation:
Given :
of a cup of water fills of a plastic container.
To find number of containers that can be filled with 1 cup of water, we will use unitary method.
if of a cup of water fills of a plastic container.
Then 1 cup of water will fill = of a container.
Dividing fractions.
Replacing division with multiplication by taking reciprocal of the divisor.
Multiplying the numerators and denominators.
∴ 1 cup of water will fill = of the plastic container.