In a bag of snack mix:
n = nuts d = dried fruit
n = 744g d = ???g
Ratio Nuts/Dried fruit = 12/13
This basically means that if the mix was divided in 25 parts, 12 parts would be nuts and 13 would be dried fruits
If 744 is 12 parts then 744/12 is 1 part
744/12 = 62
1 part = 62g
there are 13 parts of dried fruit
13 x 62 = 806
744g of nuts + 806g of dreid fruit = 1550g
Answer: A batch of snack mix weigh 1550g, or 1.55kg
hope it helps :)
Answer:
![\displaystyle d = 4\sqrt{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%204%5Csqrt%7B5%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 (-5, 6) → x₁ = -5, y₁ = 6
Point (3, 2) → x₂ = 3, y₂ = 2
<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 Formulas]:
![\displaystyle d = \sqrt{(3+5)^2+(2-6)^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B%283%2B5%29%5E2%2B%282-6%29%5E2%7D)
- [Distance] [√Radical] (Parenthesis) Add/Subtract:
![\displaystyle d = \sqrt{(8)^2+(-4)^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B%288%29%5E2%2B%28-4%29%5E2%7D)
- [Distance] [√Radical] Evaluate exponents:
![\displaystyle d = \sqrt{64+16}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B64%2B16%7D)
- [Distance] [√Radical] Add:
![\displaystyle d = \sqrt{80}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Csqrt%7B80%7D)
- [Distance] [√Radical] Simplify:
![\displaystyle d = 4\sqrt{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%204%5Csqrt%7B5%7D)
Answer:
Rectangular Pyramid
Step-by-step explanation:
we know that
A <u><em>rectangular pyramid</em></u> is a three-dimensional figure that has a rectangular base and four lateral triangular faces
so
The total number of faces is 5 (one rectangular face plus four triangular faces)
The total number of vertices is 5 (four at the base and one at the apex)
If your trying to figure out (x) then the answer would be 7 because 7 times 2 is 14 and then 14 minus 3 would be 11
(0.75 * 3.5a) + (0.75 * -6b) = 2.63a -4.5b