Answer:
The answer is 10 quarters and 15 nickels
Step-by-step explanation:
Lets say x equals the number of quarters and y quals the number of nickels. Since there is a total of 25 coins that means that x+y=25. But, the quarter costs 0.25, and the nickel costs 0.05. That means that we have to multiply the number of each coin with their cost. Which leads us to: (x*0.25)+(y*0.05)=3.25. By solving these two equations you'll see that x=10 and y=15.
We can say that the ratio of males to females is 5:3 and we can solve this:
The total number of parts is 5+3 = 8
520/8 = 65
We can rewrite the ratio as:
5*65:3*65
325:195
Therefore there was 325 males
Answer:
3 units would be the area
Answer:
22 feet
Step-by-step explanation:
Change 15 feet into inches using the conversion
1 foot = 12 inches, thus
15 ft = 15 × 12 = 180 inches
scale factor = 180 ÷ 3.75 = 48
Thus the actual dimensions of the boat are 48 times the model.
actual length = 48 × 5.5 = 264 inches = 264 ÷ 12 = 22 feet
Answer:
SA = 1,176 ft².
Step-by-step explanation:
To find the surface area of the triangular prism, we can solve for the rectangular base, both triangular faces, and lateral sides separately.
For the rectangular base: (Use formula l×w)
20 × 18 = 360 ft²
For the triangular faces: (Use formula 1/2(b·h)
1/2(18 × 12) = 108 ft²
Since there are two faces, we need to double the amount.
108 × 2 = 216 ft².
Finally, solve for the lateral sides:
20 × 15 = 300 ft².
There are two sides, so:
300 × 2 = 600 ft².
Add up all of these areas:
600 + 216 + 360 = 1,176 ft²
