All categories

3 years ago

What is the unit rate of 115miles in 2hours

Mathematics

2 answers:

maksim [4K]3 years ago

5 0

You would divide miles to hours amd get 57.5

Dimas [21]3 years ago

5 0

115 miles in 2 hours is what we call a rate: a comparison of two numbers with very different units. This rate is 115 miles / 2 hours. It's almost like a fraction! The numerator is 115 miles, and the denominator is 2 hours.

So, what is a unit rate? A unit rate is a rate (comparison of two numbers) with a denominator of 1. So we need our rate, 115 miles / 2 hours, to have a denominator of 1. We need to make the bottom number of our rate 1 hour. How do we do that? Well, we need to divide both the numerator (115 miles) and the denominator (2 hours) by 2!

115/2=57.5. 2/2=1. So, this rate is equal to 57.5 miles / 1 hour. Since the denominator is 1, THAT's a unit rate!!

Answer: 57.5 miles / 1 hour

You might be interested in

Explore and review six different ways of classifying triangles.

yanalaym [24]

1)Obtuse Triangle: A triangle with one obtuse angle.

2)Acute Triangle: A triangle where all three angles are acute.

3)Equiangular Triangle: A triangle where all the angles are congruent.

4)Isosceles Triangle: A triangle with at least two congruent sides.

5)Equilateral Triangle: A triangle with three congruent sides

6 0

2 years ago

PLEASE HELP ME GUYS OR I WONT PASS this calculus!!!!

KonstantinChe [14]

Answer:

b. $\displaystyle \frac{1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$
Exponential Rule [Root Rewrite]: $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle H(x) = \sqrt[3]{F(x)}$

Step 2: Differentiate

Rewrite function [Exponential Rule - Root Rewrite]: $\displaystyle H(x) = [F(x)]^\bigg{\frac{1}{3}}$
Chain Rule: $\displaystyle H'(x) = \frac{d}{dx} \bigg[ [F(x)]^\bigg{\frac{1}{3}} \bigg] \cdot \frac{d}{dx}[F(x)]$
Basic Power Rule: $\displaystyle H'(x) = \frac{1}{3}[F(x)]^\bigg{\frac{1}{3} - 1} \cdot F'(x)$
Simplify: $\displaystyle H'(x) = \frac{F'(x)}{3}[F(x)]^\bigg{\frac{-2}{3}}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle H'(x) = \frac{F'(x)}{3[F(x)]^\bigg{\frac{2}{3}}}$

Step 3: Evaluate

Substitute in x [Derivative]: $\displaystyle H'(5) = \frac{F'(5)}{3[F(5)]^\bigg{\frac{2}{3}}}$
Substitute in function values: $\displaystyle H'(5) = \frac{6}{3(8)^\bigg{\frac{2}{3}}}$
Exponents: $\displaystyle H'(5) = \frac{6}{3(4)}$
Multiply: $\displaystyle H'(5) = \frac{6}{12}$
Simplify: $\displaystyle H'(5) = \frac{1}{2}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

5 0

3 years ago

Which event has a probability of 1/2? Select all that apply.

Ymorist [56]

C, E, and F have 50 50 chance

4 0

2 years ago

a fruit salad contains 20 different pieces of fruit. there are 3 pieces of apple, 8 pieces of watermelon, 7 pieces of banana, an

Neko [114]

There are 2 oranges, if that’s what the question was?

8 0

2 years ago

Read 2 more answers

Please help with this question. I would appreciate it!

Veronika [31]

Answer:

Mass of A = 5760 grams

Step-by-step explanation:

Surface area is given, so we can set-up a similarity equation to solve for k, proportionality constant. Here, we will relate both of them through k^2, because they are 2 dimensional (area). Thus

Surface Area of A = k^2 * Surface Area of B

28 = k^2 * 40.32

k^2 = 28/40.32

k^2 = 25/36

k = Sqrt (25/36)

k = 5/6

Now, we want to find mass (1 dimensional quantity), thus we can say:

Mass of A = k * Mass of B

Mass of A = (5/6) * (6912)

Mass of A = 5760 grams

8 0

2 years ago

Read 2 more answers