Answer:
1 min : 12 min
Step-by-step explanation:
To simplify the given ratio, convert both to the same unit of time.
1 hour = 60 minutes
3 hours = 3 x 60 minutes
= 180 minutes
So that,
15 min : 3 hours = 15 min : 180 min
divide through by 15 to have;
15 min : 180 min = 1 min : 12 min
Thus the simplified form of the number give is 1 min : 12 min.
9514 1404 393
Answer:
Step-by-step explanation:
The general approach here is to choose a variable you want to eliminate, identify the coefficients of it, and use those to multiply the equations so adding the products will eliminate the variable.
Here, the coefficients of x are -1 and -3; the coefficients of y are 2 and 5. We often like to choose the set of coefficients that includes 1 or where the coefficients are related by an integer factor. These criteria suggest that we should use the coefficients -1 and -3. One of our multipliers must be the opposite of one of these coefficients. So, we choose for them to be -3 and +1.
That is, multiplying the first equation by -3 will make the x-coefficient be 3; multiplying the second equation by 1 will make the x-coefficient be -3. Adding these equations will then eliminate x terms.
(-3)(-x +2y = 12)
<u>+ </u><u>(1)</u><u>(-3x +5y =27)</u>
<u>gives</u> (3x -6y) +(-3x +5y) = -36 +27
which simplifies to the sum ...
0x -1y = -9
__
Dividing by the coefficient of y, we find y = 9. Substituting into the first equation, we have ...
-x +2(9) = 12)
x = 18-12 = 6
The solution is (x, y) = (6, 9).
Answer:
Assessment started: undefined.
Item 1
The floor of a dollhouse is shaped like a rectangle with a length of 34 foot and a width of 512 foot. Use this model to determine the floor's area.
What is the floor's area?
Enter your answer as a fraction in simplest form by filling in the boxes.
Step-by-step explanation:
bearing in mind that the slope goes by several names
average rate of change
rate of change
deltaY over deltaX
rise over run
gradient
constant of proportionality
however, is the same cat wearing different hats.