All categories

3 years ago

Express as a ratio in whole numbers 1/2 : 1/4 : 1/12

Mathematics

1 answer:

Gelneren [198K]3 years ago

7 0

Answer:

6 : 3 : 1

Step-by-step explanation:

Given

$\frac{1}{2}$ : $\frac{1}{4}$ : $\frac{1}{12}$ ( multiply each part by 12 , the LCM of 2, 3, 12 to clear the fractions )

= 6 : 3 : 1

You might be interested in

Find the area of the region enclosed by the graphs of the functions

Vaselesa [24]

Answer:

$\displaystyle A = \frac{8}{21}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Functions
Function Notation
Graphing
Solving systems of equations

Calculus

Area - Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

*Note:

Remember that for the Area of a Region, it is top function minus bottom function.

Step 1: Define

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

Step 2: Identify Bounds of Integration

Find where the functions intersect (x-values) to determine the bounds of integration.

Simply graph the functions to see where the functions intersect (See Graph Attachment).

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

Step 3: Find Area of Region

Integration

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^1_{-1} {[x^2 - x^6]} \, dx$
[Area] Rewrite [Integration Property - Subtraction]: $\displaystyle A = \int\limits^1_{-1} {x^2} \, dx - \int\limits^1_{-1} {x^6} \, dx$
[Area] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = \frac{x^3}{3} \bigg| \limit^1_{-1} - \frac{x^7}{7} \bigg| \limit^1_{-1}$
[Area] Evaluate [Integration Rule - FTC 1]: $\displaystyle A = \frac{2}{3} - \frac{2}{7}$
[Area] Subtract: $\displaystyle A = \frac{8}{21}$

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

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

6 0

3 years ago

What is the slope of the line 2x – 5y = 12 ?

d1i1m1o1n [39]

Answer:

m=2/5

Step-by-step explanation:

Use the Slope-intercept form y=mx+b to find the slope m.

8 0

3 years ago

Translate the statement below into a mathematical expression:

slega [8]

Answer:

18-6=2+y

Step-by-step explanation:

18-6=2+y

5 0

3 years ago

Evaluate the expression 40÷1+3-(3×7)+7-5

Eduardwww [97]

For this problem, you will have to use PEMDAS (Parentheses) (Exponents) (Multiplication/Division) (Addition/Subtraction)

First of all, you will want to solve for the values inside the parentheses first

40 ÷ 1+3-(21)+7-5 Now check for anything that includes multiplication/division and do that

40+3-21+7-5 All you have left now is addition and subtraction. It must go from left to right, therefore if addition is first, do addition, if subtraction is first, then do subtraction.

Final answer = 24

8 0

3 years ago

Read 2 more answers

Jeremy has a total of $250. If he spends 30% of his money, how much will he have left?

vagabundo [1.1K]

If you look at the picture, you set it up as part over whole is equal to percent over 100. then you just multiply across.

5 0

3 years ago