52.5% of what number is 25.83?

Answers

Answer 1

Answer: 1. Do a proportion
25.83/x times 52.5/100
2. Do 25.83 times 100 which equals 2,583
3. Do 2,583 divided by 52.5 which equals 49.2
4. Your answer is 49.2

Answer 2

Answer: 52.5 × 25.83 /100 = 13.56

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Translate the variable expression into a word phrase. k + 8

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Answers

A you are adding 8 and an unknown number

Suppose the diameter of a paint can is 6.2483 inches. What is the width of four paint cans on a shelf, to the nearest hundredth of an inch? A. 24.99 inches
B. 25.00 inches
C. 31.25 inches
D. 24.96 inches

Answers

Given that diameter of a paint can is 6.2483.

And we are asked to find width of four paint cans on a shelf.

Since we can only place paint cans adjacent to each other on a shelf, Total width will be addition of diameters of four paint cans.

Hence width = 6.2483+6.2483+6.2483+6.2483

= 24.9932 ≈ 24.99 inches( rounded off to nearest hundredth of an inch)

Hence correct option is 'A'.

What is the product of (3+radical 5) and (3-radical 5)

Answers

(3 + $√(5)$ ) × (3 - $√(5)$ )
Take the special case
(a - b)×(a + b)=a² - b²

a = 3
b = $√(5)$

3² - ( $√(5)$ )² {(√)² = the number itself}
9 - 5
4

(3 + √((5)) + (3 - √(5))
3(3 - √(5)) + √(5)(3 - √(5)))
3(3) - 3(√(5)) + √(5)(3) + √(5)(√(5))
9 - 3√(5) + 3√(5) - √(25)
9 - 5
4

Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x squared minus 24 x plus 45 over quantity 12 x squared minus 48 x minus 60.

Answers

x² + x - 12 / x² - x - 20 ÷ 3x² - 24x + 45 / 12x² - 48x - 60

x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45

(x² + x - 12)(12x² - 48x - 60)
(x² - x - 20)(3x² - 24x + 45)

12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720
3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900

12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900

12x^4 - 36x³ - 252x² + 516x + 720
3x^4 - 27x³ + 9x² + 435x - 900

12(x^4 - 3x³ - 21x² + 43x + 60)
3(x^4 - 9x³ + 3x² + 145x + 300)

4(x^4 - 3x³ - 21x² + 43x + 60)
(x^4 - 9x³ + 3x² + 145x + 300)

How do i solve this A=1/2bh for b

Answers

A = $(1)/(2)$ bh Multiply both sides by 2 to cancel out the fraction
2A = bh Divide both sides by h
$(2A)/(h)$ = b Switch the sides to make it easier to read
b = $(2A)/(h)$

For the following set of data, find the percentage of data within 2population standard deviations of the mean, to the nearest percent.
58, 77, 31, 54, 58, 54, 56, 58, 56