Help me with this please

Earth revolves around the Sun in 365 days, but the planet Mercury does so in only 88 days. Compared to Earth, how many more comp

Elena L [17]

Answer:

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

Step-by-step explanation:

Earth takes 365 days to make a complete revolution.

we can say that the rotational speed of Earth is $\dfrac{1}{365}\frac{\text{rev}}{\text{day}}$

so, in a 1000 days how many revolutions will Earth have made?

$\dfrac{1}{365}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})$

see that the 'day's cancel out. Simply multiply the two numbers!

$2.739\text{rev}$

Next, do the same for Mercury

we can say that the rotational speed of Mercury is $\dfrac{1}{88}\frac{\text{rev}}{\text{day}}$

as it completes 1 revolution in 88 days.

so, in a 1000 days how many revolutions will Mercury have made?

$\dfrac{1}{88}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})$

multiplying by 1/88 by 1000 yields:

$11.363\text{rev}$

The Question is how many MORE complete revolutions will Mercury make in 1000 days?

We need to subtract the revolutions of Mercury with Earth to find how far ahead is Mercury from Earth

$11.363\text{rev} - 2.739\text{rev}$

$8.624\text{rev}$

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

5 0

3 years ago

The length of a rectangle is twice its width. The perimeter is 60 ft. Find its area.In the form of a paragraph, explain in compl

Vika [28.1K]

Set the following: Length = L Width = W

The length is twice the width: L = 2*W or: W = L/2

Perimeter: P = 60ft = 2*L + 2*W

Substituting L for W in the perimeter equation gives:

P = 60ft = 2*L + 2*(L/2) = 2*L + L = 3L

L = 60ft/3 = 20ft W=L/2=20ft/2=10ft

Verify result: Perimeter= P = 60ft = 2L + 2W = 2*20ft +2*10ft = 40ft+20ft = 60ft

The area of the rectangular is: Area = A = Length*Width = L*W = 20ft*10ft = 200 (ft)^2

-Mabel <3

7 0

3 years ago

Evaluate |bc|, given a = 5, b = -3, and c = -2.

Anni [7]

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

|Absolute Value| - makes any number positive

Step-by-step explanation:

Step 1: Define

|bc|

a = 5

b = -3

c = -2

Step 2: Evaluate

Substitute: |-3 · -2|
Multiply: |6|
Evaluate: 6

7 0

3 years ago

Ms. Clark earned $29,600 in her third year as a banker and $32,600 in her seventh year. How much did she make in her tenth year?

RSB [31]

Answer:

She gets an increase of $750 each year so in the tenth year she would make $34,850

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is 24x128725(7x782)/199+4+23

ryzh [129]

Answer:

$\bold{\frac{8455687800}{113}}$

Step-by-step explanation:

$\frac{24\times \:128725\left(7\times \:782\right)}{199+4+23}$

$\mathrm{Add\:the\:numbers:}\:199+4+23=226$

$=\frac{24\times \:128725\times \:7\times \:782}{226}$

$\mathrm{Factor\:the\:number:\:}\:24=2\times \:12$

$=\frac{2\times \:12\times \:128725\times \:7\times \:782}{226}$

$\mathrm{Factor\:the\:number:\:}\:226=2\times \:113$

$=\frac{2\times \:12\times \:128725\times \:7\times \:782}{2\times \:113}$

$\mathrm{Cancel\:the\:common\:factor:}\:2$

$=\frac{12\times \:128725\times \:7\times \:782}{113}$

$\mathrm{Multiply\:the\:numbers:}\:12\times \:128725\times \:7\times \:782=8455687800$

$\bold{=\frac{8455687800}{113}}$

$\mathrm{Decimal:74829095.57522}$

5 0

3 years ago