Answer: 5cm
Step-by-step explanation:
Simplified scale: 1cm:5km
5km times 5 is the distance you traveled, 25km
1cm times 5 is 5
For this case, the first thing you should do is take into account the following unit conversion:
1 foot = 12 inches
Therefore, the perimeter of the new window is given by:
p = 2w + 2l
Where,
w: width
l: long
Substituting values:
p = 2 * (3 + ((4 1/2) / 12)) + 2 * (4 + ((4 1/2) / 12))
p = 15.5 feet
Answer:
The new perimeter of the window in feet is:
p = 15.5 feet
The trick here is to relate the NUMBER of coins to each other in one equation, and then the VALUE of the coins in another equation. If I have 1 dime, that 1 dime is worth 10 cents. The number of dimes is obviously not equal to the value. Let's call quarters q and dimes d. The number of these 2 types of coins added together is 80 coins. So q + d = 80. Now, we know that quarters are worth .25 and dimes are worth .1, so we express a quarter's worth as .25q; we express a dime's worth as .1d. The value of the coins we have is 14.90. So that equation is .25q + .1d = 14.90. Let's solve the first equation for q. q = 80 - d. We can now use that as a substitution for q into the second equation, giving us an equation with only 1 unknown, d. .25(80-d) + .1d = 14.90. Distributing through the parenthesis we have 20 - .25d + .1d = 14.90. Combining like terms gives us - .15d = - 5.1. We will divide both sides by - .15 to get that the number of dimes is 34. If we had a total of 80 coins, then the number of quarters is 80 - 34, which is 46. 46 quarters and 34 dimes
7/20 is equivalent to the decimal 0.35