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3 years ago

441 is 63% of what number

1 answer:

6 0

Question: 441 is 63% of what number?
=> 63% = 63% / 100% = 0.63
Since 441 is the 63% let’s find the value of 37% to get the toal of 100%
Solution, follow the formula
=> 0.63x = 441 – where x will be the value of the missing 100% value.
=> x = 441 / 0.63
=> x = 700 – the 100% value that have 441 as 63%
let’s check if we have the correct answer:
=> 700 * .63 = 441

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2 years ago

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A rectangle has a length of 20 inches. if its perimeter is 64 inches, what is the area?

zzz [600]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf 240 \: {inches}^{2} }}}}$

Step-by-step explanation:

Given,

Length of a rectangle = 20 inches

Perimeter of a rectangle = 64 inches

Area of a rectangle = ?

Let width of a rectangle be ' w ' .

First, finding the width of a rectangle

$\boxed{ \sf{perimeter = 2(l + w)}}$

plug the values

⇒ $\sf{64 = 2(20 + w)}$

Distribute 2 through the parentheses

⇒ $\sf{64 = 40 + 2w}$

Swap the sides of the equation

⇒ $\sf{40 + 2w = 64}$

Move 2w to right hand side and change it's sign

⇒ $\sf{2w = 64 - 40}$

Subtract 40 from 64

⇒ $\sf{2w = 24}$

Divide both sides of the equation by 2

⇒ $\sf{ \frac{2w}{2} = \frac{24}{2} }$

Calculate

⇒ $\sf{w = 12 \: inches}$

Width of a rectangle ( w ) = 12 inches

Now, finding the area of a rectangle having length of 20 inches and width of 12 inches

$\boxed{ \sf{area \: of \: rectangle = length \: \times \: \: width}}$

plug the values

⇒ $\sf{area \: of \: rectangle =20 \times 12 }$

Multiply the numbers : 20 and 12

⇒ $\sf{area \: of \: rectangle = 240 \: {inches}^{2} }$

Hence, Area of a rectangle = 240 inches²

Hope I helped !

Best regards!

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3 years ago

10k to the third power + 8k to the second power + 10 divided by (k+1)

torisob [31]

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3 years ago

An ice cream cone has a height of 4 in and a radius of 1 in. If the cone is 0.1 in thick, what is the difference (in in3) betwee

SSSSS [86.1K]

Answer:

$0.79 in^3$

Step-by-step explanation:

Given data for the cone

height h= 4 in

radius r= 1 in

hence diameter d= 2 in

thickness of cone= 0.1 in

The volume of the cone including the shell can be expressed as

$volume=\frac{1}{3} \pi r^2h$

$volume= \frac{1}{3}*3.142*1^2*4\\\volume= \frac{12.568}{3} \\\volume= 4.189 in^3$

The volume of the ice cream can be expressed as

N/B: the diameter of the ice cream is

2-(0.1*2)= 2-0.2= 1.8 in

hence the radius is 0.9 in

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The difference in volume is $4.189-3.39= 0.79 in^3$

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2 years ago

What is the Inverse Equation f(x) =6x-1 ?? please I need help!

Scrat [10]

Answer:

$f^{-1}(x)=\frac{x+1}{6}$

Step-by-step explanation:

So we have the function:

$f(x)=6x-1$

To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:

$f(x)=6x-1$

Switch:

$x=6f^{-1}(x)-1$

Add 1 to both sides:

$x+1=6f^{-1}(x)$

Divide both sides by 6:

$f^{-1}(x)=\frac{x+1}{6}$

And that's our answer :)

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3 years ago