Answer:
3 1/3 cups
Step-by-step explanation:
one and one half dozen = 1.5 * 12 = 18 cookies
18 cookies 90 cookies
---------------- = -------------
2/3 cup x cups
using cross products
18 * x = 2/3 * 90
18 x = 60
divide each side by 18
x = 60/18
divide top and bottom by 6
x = 10/3
change the improper fraction to a mixed number
3 goes into 10 3 times with 1 left over
x = 3 1/3 cups
Answer:
(-5,-13)
Step-by-step explanation:
Find the vertex of the parabola y=1/5x^2+2x−8.
In this equation a=15 and b = 2.
x= -2/2(1/5) = -2/2/5 = -2/1 * 5/2 = -5
Substitute −5 into the equation y=1/5x^2+2x−8
y=1/5(−5)^2+2(−5)−8
y=5−10−8
y=−13
The vertex is (−5 , −13)
Answer:
t = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
t + t + t = 12
<u>Step 2: Solve for </u><em><u>t</u></em>
- Combine like terms (t): 3t = 12
- Divide 3 on both sides: t = 4
<u>Step 3: Check</u>
<em>Plug in t into the original equation to verify it's a solution.</em>
- Substitute in <em>t</em>: 4 + 4 + 4 = 12
- Add: 8 + 4 = 12
- Add: 12 = 12
Here we see that 12 does indeed equal 12.
∴ t = 4 is a solution of the equation.
Input is 4
so y=-2(4)+11
y=-8+11
y=11-8
y=3
Ans
(4,3)
