Answer:
![\displaystyle \frac{x + 7}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bx%20%2B%207%7D%7B3%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
Step-by-step explanation:
<u>Step 1: Define</u>
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<u>Step 2: Simplify</u>
- [Fraction] Factor numerator:
![\displaystyle \frac{(x + 5)(x + 7)}{3x + 15}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%28x%20%2B%205%29%28x%20%2B%207%29%7D%7B3x%20%2B%2015%7D)
- [Fraction] Factor denominator:
![\displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%28x%20%2B%205%29%28x%20%2B%207%29%7D%7B3%28x%20%2B%205%29%7D)
- [Fraction] Divide:
![\displaystyle \frac{x + 7}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bx%20%2B%207%7D%7B3%7D)
Answer:
Yes
Step-by-step explanation:
The amount of money Albert receives is described by the expression
![y = \begin{cases}0.30x & \quad \text{if } 0 \leq x \leq 49 \\0.40x & \quad \text{if } x > 50\\\end{cases}](https://tex.z-dn.net/?f=y%20%3D%20%5Cbegin%7Bcases%7D0.30x%20%20%26%20%5Cquad%20%5Ctext%7Bif%20%7D%200%20%5Cleq%20x%20%5Cleq%2049%20%5C%5C0.40x%20%26%20%5Cquad%20%5Ctext%7Bif%20%7D%20x%20%3E%2050%5C%5C%5Cend%7Bcases%7D)
The graph is shown below.
To determine if the relation is a function, we can use the vertical line test:
If a vertical line crosses the graph more than once in any location, the relation is not a function.
We see that at no place will a vertical line intersect the graph more than once.
The relation is a function.
Answer:
-62.5008
Step-by-step explanation:
the pattern here is dividing by -5, so just continue dividing by -5 starting on -3 and continuing 4 more times. record each number and then add them together using a calculator. you will get -62.5008
Please mark brainliest :)
Answer:
12 cups.
Step-by-step explanation:
Let x be the total cups of strawberries picked by Margo.
We have been given that Margo freezes 8 cups of strawberries and this is 2/3 of the total strawberries that she picked.
We need to find x such that 2/3 of x equals 8. We can represent this information in an equation as:
![\frac{2}{3}x=8](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dx%3D8)
Let us multiply both sides of our equation by 3.
![3*\frac{2}{3}x=3*8](https://tex.z-dn.net/?f=3%2A%5Cfrac%7B2%7D%7B3%7Dx%3D3%2A8)
![2x=24](https://tex.z-dn.net/?f=2x%3D24)
Let us divide both sides of our equation by 2.
![\frac{2x}{2}=\frac{24}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B24%7D%7B2%7D)
![x=12](https://tex.z-dn.net/?f=x%3D12)
Therefore, Margo picked 12 cups of strawberries.
Answer:
66 degrees
Step-by-step explanation:
360 degrees in a circle
102 and 144 make up the circumference of LPN
LMN however is still to be determined... which is 360-(102+144) = 114
Therefore, LMN = 114 degrees. Using a thereom (I forget which one), the corresponding angle to LMN is LPN.
To find angle LPN (180-114) = 66