Answer:
29
Step-by-step explanation:
When you say "at the same ratio", you mean that you consume the same amount of gas for the same amount of miles.
We know that everytime you drive 75 miles, you use 3 gallons of gas.
Since 12 gallons of gas is four times 3 gallons of gas, if the ratio remains the same, you can drive four times the distance:
You drive 75 miles, and use 3 gallons.
You drive 75 more miles (so you are at
miles) and use 3 more gallons, so you use
gallons.
You drive 75 more miles (so you are at
miles) and use 3 more gallons, so you use
gallons.
You drive 75 more miles (so you are at
miles) and use 3 more gallons, so you use
gallons, and you're done.
Answer:
and 
Step-by-step explanation:
Given:
Equation 1:

Simplifying the above equation by dividing both sides by 100


Equation 2:

Simplifying the above equation by dividing both sides by 400.


Now the system of equation is:
(1a) 
(2a) 
Solving by elimination
Multiplying equation (2a) with 

(2b) 
Adding equations (1a) and (2b) in order to eliminate 

+ 
We get 
∴ 
Plugging
in equation (2a).

Adding
both sides.

∴ 
Answer:
The diameter is twice that, or approx. 7.90 units.
Step-by-step explanation:
the equation for the volume of a cylinder of radius r and height h is
V = πr²h. Here we need to calculate the diameter after having found the radius. Solving V = πr²h for r², we get:
V
r² = -----------
πh
Substituting the given values, we obtain for r² the following:
145 units³
r² = ------------------------ = 15.6 units²
3.14159(5 units)
Taking the square root of both sides, we get:
r = √15.60, or approx. 3.95 units.
The diameter is twice that, or approx. 7.90 units.
Answer:
The correct answer is 16w.
Step-by-step explanation:
w = 1w
1⋅w⋅16 =
1⋅1w⋅16 =
16w
Therefore, the correct answer is 16w.
Hope this helps! :D