The information we have is:
5 drops of flavor are needed for 12 ounces of water.
To solve the problem, first we need to find the amount of drops needed per ounce of water, and then multiply that by the number of ounces that we need which is 1280.
The number of drops per ounce:
To find this, divide 5 drops by 12 ounces:
5/12 drops are needed per ounce.
The number of drops in 1280 ounces:
Now we multiply 5/12 by 1280:
And the result is:
The number of drops needed is: 533.333
Answer: 533.333 Drops
Answer: The shaded area is 99.55 units squared.
Step-by-step explanation:
r = 3.2
Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:
L = 2*(2*3.2) = 12.8
The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.
the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:
A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.
And now we must subtract the area of the four smaller circles inside the square, the area of each one is:
A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.
Then the shaded area is:
A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.
The answer to the question
Step-by-step explanation:
10X+ 180= 500
10X= 500-180
10X= 320. .....divine both sides by 10 to solve for X
X = 32.
check
10(32)+180 = 500
320+180 =500
500 =500...confirmed
