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2 years ago

Change 2.6 from decimal to fractions show explanation

Mathematics

1 answer:

noname [10]2 years ago

8 0

Answer:

Step-by-step explanation:

The 2 in 2.6 is in the ones place so we know that it equals 200. The 6 in 2.6 is in the tenths place so we know that it equals 60. Add 200 with 60 to get 260/10. The denominator is 10 because 2.6 only extends to the tenths place.

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Match the real-world problem to its constant of proportionality.

FrozenT [24]

Real word problem ⇒ constant of proportionality

$4.16 for 4 pounds of bananas ⇒ 1.04

$16.48 for 8 pounds of potatoes ⇒ 2.06

$18.36 for 2 pizzas ⇒ 9.18

2 cups of flour to make 36 cookies ⇒ 18

Solution:

A proportional relationship is one in which two quantities vary directly with each other.

We say the variable y varies directly as x,

if for x ∝ y

then, x = y k

Where "k" is called constant of proportionality

$k = \frac{x}{y}$

$4.16 for 4 pounds of bananas

x = 4.16 and y = 4

$k = \frac{4.16}{4} = 1.04$

Thus constant of proportionality is 1.04

$16.48 for 8 pounds of potatoes

x = 16.48 and y = 8

$k = \frac{16.48}{8} = 2.06$

Thus constant of proportionality is 2.06

$18.36 for 2 pizzas

x = 18.36 and y = 2

$k = \frac{18.36}{2} = 9.18$

Thus constant of proportionality is 9.18

2 cups of flour to make 36 cookies

x = 36 and y = 2

$k = \frac{36}{2} = 18$

Thus constant of proportionality is 18

8 0

2 years ago

My family drinks an average of 3.4 gallons of milk every week 1 kept This Record over 5 weeks how many cups of milk did my famil

DerKrebs [107]

17 Gallons or.....272 Cups

5 0

3 years ago

Can you please help me with this? tytytyty

Ray Of Light [21]

Deletion: CATTCACG

insertion: CATTTCACACG

inversion: CATTGCACAC

duplication: CATTCACACCACG

substitution: CATTCACACA

3 0

3 years ago

The table shows the total profits earned from magazine sales.

coldgirl [10]

Answer:

C. y= 14x+20

Step-by-step explanation:

By looking at the table, you can put in the x-values into all of the equations until you find the corresponding y-values that matches with the values in the table. For example: y= 14(2)+ 20, y=48. y= 14(20) +20, y=300. Hope this helped!

8 0

3 years ago

Read 2 more answers

Find the derivative of

kirill [66]

Answer:

$\displaystyle y'(1, \frac{3}{2}) = -3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

$\displaystyle \text{Point} \ (1, \frac{3}{2})$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y = \frac{3}{2}x^{-2}$
Basic Power Rule: $\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}$
Simplify: $\displaystyle y' = -3x^{-3}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

Substitute in coordinate [Derivative]: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}$
Evaluate exponents: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}$
Divide: $\displaystyle y'(1, \frac{3}{2}) = -3$

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

Unit: Derivatives

Book: College Calculus 10e

6 0

2 years ago