Answer:
6.4 minutes ( or 6 minutes and 24 seconds)
Step-by-step explanation:
Filling up the jug means the empty space is 0, hence V = 0.
<em>We plug in 0 into V and solve for t to get the time required to fill it up:</em>
Hence it will take 6.4 minutes to fill up the jugs.
<u>Note:</u> 0.4 minutes in seconds is 
seconds
Answer:
3.33% per hour
Step-by-step explanation:
Use the A=Pe^rt equation. A is the end amount, so it's 1892. P is the original amount, 1700. E is a constant, around 2.72. R is the growth constant. T is the time that passed, 3 hours. You can substitute the givens into the equation and get 1892=1700e^(3r). Divide by 1700 to isolate the e. This leaves you with 1892/1700=e^(3r). Do the natural log of each side cancel the e and bring the exponent down. This leaves you with ln(1892/1700)=3r. Divide by 3 to isolate r. ln(1892/1700) is .1. .1/3 is .03333. Multiply by 100 to get a percent. 3.33 percent is your final answer.
A scale drawing is an enlarged or reduced drawing of an object that is similar to an actual object. Maps and floor plans are smaller than the actual size. A scale drawing of a human cell is larger than the actual size.
On a map, the equal sign in 1 in. = 30 mi does not mean that the two quantities are equal, as it would in an equation.
A scale is the ratio that compares a length in a drawing to the corresponding length in the actual object. If a 30-mile road is 1 in. long on a map, you can write the scale of the map in these three ways:
Go here for more. http://www.phschool.com/itext/mgmath_course2/Ch05/05-07/PH_MSM2_ch05-07_Obj1.html
Simplify the following:
8/(1/3)
Multiply the numerator of 8/(1/3) by the reciprocal of the denominator. 8/(1/3) = (8×3)/1:
8×3
8×3 = 24:
Answer: 24
Answer:
Step-by-step explanation:
Let x be the number of adult tickets and y be the number of children's tickets.
We are given that there are total 12 people. Therefore, we can set:
Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be 
and cost of y children's ticket will be 
. We can form the second equation by setting the total cost of tickets as:
Therefore, the required system of equations that could be used to find x and y will be:
