Helpppppp meeee please and thank you

There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What

antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

$-23\alpha+63\beta=1$

By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$

$1 = (-11\times -23) + (-4\times 63)$

Multiplying -7 on both sides, we get,

$-7 = (77\times -23) + 28\times 63)$

Thus, we get,

$x = 28\\y=77$

Thus, there are 28 fruits in each pile.

7 0

3 years ago

6 divided by 3 + 4* 2

nirvana33 [79]

The answer is ten if I'm correct

7 0

3 years ago

Read 2 more answers

It took Sheldon 17 5/6 minutes to walk to Raj's house. The bus ride home took Sheldon 4 5/8 minutes. How many more minutes did i

MA_775_DIABLO [31]

Answer:

it will take her $13\frac{5}{24}$ minutes more to walk down to Raj's House

Step-by-step explanation:

It took Sheldon $17 \frac{5}{6}$ minutes to walk to Raj's house

It also took Sheldon $4\frac{5}{8}$ minutes to use the bus.

To get the time difference between the two transport mechanisms, we subtract their different time durations.

This will be

$17\frac{5}{6} - 4\frac{5}{8}=317/24$

We can convert this to Mixed fractions as shown $13\frac{5}{24}$ minutes.

Therefore, it will take her $13\frac{5}{24}$ minutes more to walk down to Raj's House

4 0

2 years ago

Find the total area of the entire figure. *

bonufazy [111]

Answer:

392.5 in²

Step-by-step explanation:

This figure is consists of a trapezium and a rectangle.

So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately and add them together.

Let us find now.

Area of the Trapezium

Area = $\frac{1}{2}$ × ( sum of the parallel sides ) × height

Area = $\frac{1}{2}$ × ( 9 + 20 ) × 5

Area = $\frac{1}{2}$ × 29 × 5

Area = $\frac{1}{2}$ × 145

Area = 72.5 in²

Area of the rectangle

Area = Length × Width

Area = 20 × 16

Area = 320 in²

Total area of the figure

Total area = Area of the trapezium + Area of the rectangle

Total area = 72.5 in² + 320 in²

Total area = 392.5 in²

Hope this helps you :-)

Let me know if you have any other questions :-)

6 0

1 year ago

ryan reads 2/5 chapters in 3/4 hours. What is the unite rate in chapters per hour write your answer in simplest form

saw5 [17]

Answer:

0.53 chapters per hour or 8/15 chapters per hour

Step-by-step explanation:

2/5 chapters = 0.4 chapters

3/4 hours = 0.75 hours

0.4/0.75 = 0.53 chapters per hour

7 0

2 years ago