Answer:
Step-by-step explanation:
new height is ¼ of original height
new width = ¼×8 = 2 inches
Answer:
He can make only one batch of cookies.
Step-by-step explanation:
Just by mental math you can say he can make maximum one batch of cookies.
Total sugar = 10 cups
sugar used for lemonade = 2 cups
leftover sugar = 8 cups
For 1 batch of cookie sugar needed = 11/2
which means 5 and 1/2 cups
And he's just left with 8 cups of sugar after lemonade
8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch
That means the maximum number of cookies batches is 1.
Another way to solve it by inequality:
2+Il/2 X <u><</u> 10
11/2 X <u><</u> 8
11X <u><</u> 16
X <u><</u> 1 6/11
So he can make only one batch of cookies.
B)
2x6= 12
2x7= 14
2x8= 16
2x8= 18
Answer:
180 eggs is the correct amount.
Answer:
![\displaystyle d = 2\sqrt{13}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%202%5Csqrt%7B13%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:
![\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
Point (11, 4) → x₁ = 11, y₁ = 4
Point (5, 8) → x₂ = 5, y₂ = 8
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:
![\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B%285-11%29%5E2%2B%288-4%29%5E2%7D)
- [√Radical] (Parenthesis) Subtract:
![\displaystyle d = \sqrt{(-6)^2+(4)^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B%28-6%29%5E2%2B%284%29%5E2%7D)
- [√Radical] Evaluate exponents:
![\displaystyle d = \sqrt{36+16}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B36%2B16%7D)
- [√Radical] Add:
![\displaystyle d = \sqrt{52}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B52%7D)
- [√Radical] Simplify:
![\displaystyle d = 2\sqrt{13}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%202%5Csqrt%7B13%7D)