Question says that "Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1"

We see a blank space before 26.1.

So we need to fill the suitable inequality symbol from <, >, ≤ and ≥.

In given expression "2.4 + 4p + 2.4 ___ 26.1", left side part "2.4 + 4p + 2.4", represents the total length of the path that Jason wants to cover this week.

He has decided to run more than 26.1 miles so that means the sum "2.4 + 4p + 2.4" must be greater than 26.1 miles.

Hence we will use > symbol so that left side becomes greater than the right side part.

So the final answer will be :

2.4 + 4p + 2.4 > 26.1

5 0

4 years ago

Read 2 more answers

Let a=⟨1,−4,2⟩ and b=⟨−5,−5,−2⟩. Compute:

AnnyKZ [126]

Answer:

a + b = ⟨-4, -9, 0⟩

a - b = ⟨6, 1, 4⟩

2a = ⟨2, -8, 4⟩

3a + 4b = ⟨-17, -32, -2⟩

|a| = √21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Pre-Calculus

Vectors

Operations
Scalars
[Magnitude] ||v|| = √(x² + y² + z²)

Step-by-step explanation:

Adding and subtracting vectors are follow the similar pattern of normal order of operations:

a + b = ⟨1 - 5, -4 - 5, 2 - 2⟩ = ⟨-4, -9, 0⟩

a - b = ⟨1 + 5, -4 + 5, 2 + 2⟩ = ⟨6, 1, 4⟩

Scalar multiplication multiplies each component:

2a = ⟨2(1), 2(-4), 2(2)⟩ = ⟨2, -8, 4⟩

Remember to multiply in the scalar before doing basic operations:

3a + 4b = ⟨3(1), 3(-4), 3(2)⟩ + ⟨4(-5), 4(-5), 4(-2)⟩ = ⟨3, -12, 6⟩ + ⟨-20, -20, -8⟩ = ⟨-17, -32, -2⟩

Absolute values surrounding a vector signifies magnitude of a vector. Follow the formula:

|a| = √[1² + (-4)² + 2²] = √21

7 0

3 years ago