The goal of any equation is to get the VARIABLE by itself on one side of the equation.
Here is a function rule that produces an output of 7 for an input of 1.6
f(x) = x + 5.4
when x = 1.6, f(x) = 1.6 + 5.4 = 7
Answer:
2. Cecilia uses 3 cups of flour for 36 cookies
4. Cecilia is making 3/4 of the original recipe
Step-by-step explanation:
Recipe for 48 cookies
Flour = 4 cups
Sugar = 1 1/3 cups
Recipe for 36 cookies
48 cookies : 36 cookies
= 4 : 3
Flour used in 36 cookies = x cups
Flour used in 48 cookies = 4 cups
4 cups : x cups
4 : 3 = 4 : x
4/3 = 4/x
4*x = 3*4
4x = 12
x = 12/4
x = 3 cups
Sugar = 1 1/3 cups
Sugar used in 36 cookies = y cups
Sugar used in 48 cookies = 1 1/3 cups
4 : 3 = 1 1/3 : y
4/3 = 4/3 ÷ y
4/3 = 4/3 × 1/y
4/3 = 4/3y
4*3y = 3*3
12y = 9
y = 9/12
= 3/4
y = 3/4
The true statement are:
2. Cecilia uses 3 cups of flour for 36 cookies
4. Cecilia is making 3/4 of the original recipe
I think it is b because to me it makes the most sense
Answer:
x = 8
Step-by-step explanation:
For this question, you can use power of a point, more specifically when two secants intersect in the interior of a circle. From this, you get the equation:
(7 + x)(12) = (10)(2x + 2)
You can simplify and solve:
84 + 12x = 20x + 20
84 = 8x + 20
64 = 8x
x = 8
