The answer is D she's giving 5 grapes to each of her sisters so 5 times 3 = 15
Answer:
138.23
Step-by-step explanation:
The expression 30 + 12 can be rewritten as 2x(13+8)
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Function Notation
- Interval Notation - [a, b]
- Average Rate of Change:

Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 4x
Interval [1, 5]
<u>Step 2: Find Change</u>
- Substitute in function and points [Average Rate of Change]:

- [Fraction] Multiply:

- [Fraction] Subtract:

- [Fraction] Divide:

Since both α and β are in the first quadrant, we know each of cos(α), sin(α), cos(β), and sin(β) are positive. So when we invoke the Pythagorean identity,
sin²(x) + cos²(x) = 1
we always take the positive square root when solving for either sin(x) or cos(x).
Given that cos(α) = √11/7 and sin(β) = √11/4, we find
sin(α) = √(1 - cos²(α)) = √38/7
cos(β) = √(1 - sin²(β)) = √5/4
Now, recall the sum identity for cosine,
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
It follows that
cos(α + β) = √11/7 × √5/4 - √38/7 × √11/4 = (√55 - √418)/28