Answer: 54
<u>Step-by-step explanation:</u>
replace "a" with "-2" in the g-equation
g(a) = a² - 4a + 42
g(-2) = (-2)² - 4(-2) + 42
= 4 + 8 + 42
= 54
Okay first set up the equation
x
--- -2 = 5.5
-3
add over the 2
x
--- = 7.5
-3
now you need to multiply the denominator by the answer
(-3)(7.5) = x
-22.5 = x
Answer: 10 inches.
Step-by-step explanation:
Since the pecan pie is a circle, you can use this formula:

Where "r" is the radius and
is the central angle of the arc in radians.
If the pecan pie has been cut into 8 equal pieces then the central angle is:

Now you know the arc length and the central angle, then, you can solve for "r" from
:

Substituting values, you get that the radius of the pecan pie rounded to the nearest whole number is:

Adults = 9
Children = 2
Let x be the number of adults.
11-x is the number of children.
22x + 15(11-x) = 228
22x + 165 - 15x = 228
22x - 15x = 228 - 165
7x = 63
7x / 7 = 63 / 7
x = 9 number of adults.
11 - x = 11 - 9 = 2 number of children.
To check:
22x + 15(11-x) = 228
22(9) + 15(11-9) = 228
198 + 30 = 228
228 = 228
(not my answer btw)
Set up a proprtion and cross multiply.
18/7.5=22/4x+1
7.5×22=18 (4x+1)
165=72x+18
147=72x
x=2.04