Answer:
⁵/₆ hours (or 50 minutes)
Step-by-step explanation:
For this, we can subtract the two given numbers, since she misses ⁵/₆ hour of a 1²/₃ hour movie.
Expression: 1²/₃ - ⁵/₆
Improper fractions: ⁵/₃ - ⁵/₆
Common denominator: ¹⁰/₆ - ⁵/₆
Subtract: ⁵/₆
Drawing this square and then drawing in the four radii from the center of the cirble to each of the vertices of the square results in the construction of four triangular areas whose hypotenuse is 3 sqrt(2). Draw this to verify this statement. Note that the height of each such triangular area is (3 sqrt(2))/2.
So now we have the base and height of one of the triangular sections.
The area of a triangle is A = (1/2) (base) (height). Subst. the values discussed above, A = (1/2) (3 sqrt(2) ) (3/2) sqrt(2). Show that this boils down to A = 9/2.
You could also use the fact that the area of a square is (length of one side)^2, and then take (1/4) of this area to obtain the area of ONE triangular section. Doing the problem this way, we get (1/4) (3 sqrt(2) )^2. Thus,
A = (1/4) (9 * 2) = (9/2). Same answer as before.
Answer:
Constant of Proportionality Equation
The constant of proportionality (k) equals the total price (y) divided by the number of cans (x). The second formula is a common alternate form of the constant of proportionality formula.
Step-by-step explanation:
Answer:
x - y = 3(x + 2)
- x - y = 3x + 6 is the simplified answer and is also correct
Step-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
The conversion of 120 barrels to quarts is 20,160
