All categories

2 years ago

If the welcome gold nugget were turned into 3 equal-sized gold bricks, How many Troy ounces would each brick weigh?

1 answer:

5 0

There are different opinions about the weight of the largest welcome gold nugget, i searched the info and found that the largest gold nugget<span> ever </span>found<span> has the weight of of 2316 troy ounces or 72.04 kg and that was also known as the "Welcome Stranger".
if we divide that in three parts = 72.04kg / 3
=24.013 kg of weight each part
Now 1 kg = 32.1507 troy ounces
So, 24.03 kg = </span>772.036 troy ounces each brick weighs.

You might be interested in

How to decompose a rectangle into two or three smaller rectangles to demonstrate the distributive property?

koban [17]

Answer:

See explanation

Step-by-step explanation:

The distibutive property states that for all real numbers a, b and c

$(a+b)c=ac+bc$

Draw a rectangle with length of (a+b) units and width of c units. The area of this rectangle is

$(a+b)c\ un^2.$

Divide this rectangle into two rectangles: first rectangle with the length of a units and the width of c units and the second rectangle with the length of b units and the width of c units. The area of these rectangles are

$a\cdot c\ \text{and}\ b\cdot c$

These two rectangles together form initial rectangle, so the sum of the area of two smaller rectangles is the area of the bigger rectangle.

5 0

2 years ago

Justin recently started working for a company that pays him $11.40 per hour. He is expected to work a total of 251 days for 8 ho

Serhud [2]

Answer:

22,891.20

Step-by-step explanation:

I took this quiz and got it right.

6 0

2 years ago

Read 2 more answers

A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes

marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

$V = s^2h = 5324$

$h = 5324 / s^2$

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top $s^2$

Side area 4sh

Total surface area $A = s^2 + 4sh$

We can substitute $h = 5324 / s^2$

$A = s^2 + 4s\frac{5324}{s^2}$

$A = s^2 + 21296/s$

To find the minimum of this function, we can take the first derivative, and set it to 0

$A' = 2s - 21296/s^2 = 0$

$2s = 21296/s^2$

$s^3 = 10648$

$s = \sqrt[3]{10648} = 22$

$h = 5324 / s^2 = 5324 / 22^2 = 11$

4 0

2 years ago

In 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?

JulsSmile [24]

Answer:

$N = 6$ so that number becomes divisible by 3, 6 and 9.

Step-by-step explanation:

In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that $n = 154N38$ , then its sum of digits is:

$x = 1 + 5+4+N+3+8$

$x = 21+N$ (Eq. 1)

We have to determine which digits corresponds to multiples of three, there are four digits:

N = 0

$x = 21+0$

$x = 21$ ( $3\times 7 = 21$ )

N = 3

$x = 21+3$

$x = 24$ ( $3\times 8 = 24$ )

N = 6

$x = 21+6$

$x = 27$ ( $3\times 9 = 27$ )

N = 9

$x = 21+9$

$x = 30$ ( $3\times 10 = 30$ )

We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:

$154038 = 2\times 3\times 25673$

$154338 =2\times 3\times 29 \times 887$

$154638 = 2\times 3\times 3\times 11\times 11\times 71$

$154938 = 2\times 3\times 7\times 7\times 17\times 31$

It is quite evident that $N = 6$ so that number becomes divisible by 3, 6 and 9.

6 0

2 years ago

Ella takes 1 3/5 hours to complete a painting. Holly takes 3/4 of the time that Ella takes. How long will Holly take to complete

Misha Larkins [42]

1. you have to figure out what 3/4 of Ella's time is.
$1 \frac{3}{5} = \frac{8}{5}$
(You find that out by multiplying 5x1. Then add 3.)
2. Convert the fractions into decimals. (This will help make it easier when dividing.)
$\frac{8}{5} = 8 \div 5 = 1.6$
$\frac{3}{4} = 3 \div 4 = .75$
3. Next you are going to divide 1.6 by .75
$1.6 \div .75 = 2.13$
4. Now multiple 2.13 by 5.
$2.13 \times 5 = 10.65$
Answer is 10

3 0

2 years ago