1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inessa05 [86]
3 years ago
10

A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess

board. On the second square the King would place two grains of​ wheat, on the third​ square, four grains of​ wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining​ squares, what is the total weight in tons of all the wheat that will be placed on the first 45 ​squares?
(Assume that each grain of wheat weighs​ 1/7000 pound. Remember that 1 ton equals 2000 ​lbs.)
The total weight of the wheat that will be placed on the first 45 squares is
nothing tons.
Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

Total weight of the wheat placed on 45th square will be = 1.26\times 10^{6}tons

Step-by-step explanation:

King rewarded the inventor of chess by giving grain of wheat on every square of the chess board. He places one  grain of wheat on first square, 2 on second, 4 on 3rd, 8 on 4th and so on.

In fact he places grains of wheat in a progression S = 1, 2, 4, 8, 16.........n terms where value of n is 64.

We can rewrite the progression as S = 2°, 2, 2², 2³,.........n terms (n = 64)

In a geometric progression we know the nth term = a(r^{n-1})

where a = first term of the series, r = common ratio, n = number of terms

Now we have to calculate the weight of all wheat placed on 45th square.

So we will put the values in the given formula 45th term =

1\times (2^{45-1}) = 2^{44}=1.76\times 10^{13}

Then the weight of wheat will be = 2.51\times 10^{9}pounds=1.26\times 10^{6}tons



You might be interested in
Please help me with this question
vladimir1956 [14]

9514 1404 393

Answer:

  x = 7 1/3

Step-by-step explanation:

The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...

  (x -2) = (2/3)(8)

  3(x -2) = 16 . . . . . multiply by 3 to clear fractions

  3x -6 = 16 . . . . . . eliminate parentheses

  3x = 22 . . . . . . . . add 6; next divide by 3*

  x = 22/3 = 7 1/3 . . . . . feet

_____

* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.

7 0
3 years ago
If the bottom row as a result of sythetic division is 1 3 0 4 0, then the quotient is which of the following? Select one:
zmey [24]

The quotient of the synthetic division is x^3 + 3x^2 + 4

<h3>How to determine the quotient?</h3>

The bottom row of synthetic division given as:

1 3 0 4 0

The last digit represents the remainder, while the other represents the quotient.

So, we have:

Quotient = 1 3 0 4

Introduce the variables

Quotient = 1x^3 + 3x^2 + 0x + 4

Evaluate

Quotient = x^3 + 3x^2 + 4

Hence, the quotient of the synthetic division is x^3 + 3x^2 + 4

Read more about synthetic division at:

brainly.com/question/18788426

#SPJ1

3 0
2 years ago
Miranda has earned scores of 20, 22, 18, and 24 on her last four math quizzes. What score will she need to earn on the fifth qui
BigorU [14]

Answer:

16

Step-by-step explanation:

20 + 22 + 18 + 24 + 16 = 100

100/5= 2O

hopes this helps sorry for the late answer I just want others to get the correct answer.

4 0
3 years ago
Daniel bought four bags of potatoes. The weight of the first bag was 2.6 pounds. The second bag weighed 0.4 pound less than twic
ipn [44]

Answer:

Average weight of the bags of potatoes is 3.8 pounds.

Step-by-step explanation:

Given:

Weight of the first bag, W_{1}=2.6 pounds.

Weight of the second bag is 0.4 pounds less than twice the weight of first bag. This means,

W_{2}=2W_{1}-0.4=2(2.6)-0.4=5.2-0.4=4.8\textrm{ pounds}

Weight of the third bag is 0.6 pounds more than that of the first bag. This means,

W_{3}=W_{1}+0.6=2.6+0.6=3.2\textrm{ pounds}

Weight of the fourth bag is 0.3 pounds less than that of the second bag. This means,

W_{4}=W_{2}-0.3=4.8-0.3=4.5\textrm{ pounds}

Therefore, the average weight of the bags of potatoes is given as the sum of all the weights and then divide the sum by 4. Therefore,

W_{average}=\frac{W_{1}+W_{2}+W_{3}+W_{4}}{4}=\frac{2.6+4.8+3.2+4.5}{2}=\frac{15.1}{4}=3.775\approx 3.8

Therefore, average weight of the bags of potatoes is 3.8 pounds.

8 0
3 years ago
Answer 3(x-4)=2(-2x+1). Explain
Lelu [443]

Answer:

65

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What’s he hypotenuse, x, if ( 20, 21,x) is a Pythagorean triple?
    7·1 answer
  • Write the equation or inequality : in order to take honors level math , Lisa must have an average of 85 on her math tests. Her s
    7·1 answer
  • keely has $45.00 to spend on shirt. each shirt $8.50, and there is a $2.50 shipping fee for the order. how many shirts can she b
    13·1 answer
  • HELP ASAP ! TEST! The scatterplot shows the energy in watts and the light output in lumens per watt of several lightbulbs. Which
    5·1 answer
  • Nina received two emails on Monday every day that she received one more than twice as mini as the day before how many emails did
    8·2 answers
  • A rectangular image of length 3 cm and width 4 cm is magnified in a studio. On magnification, 1 cm of the image represents 17 cm
    7·1 answer
  • How would you factor this linear expression? 2x 6
    8·1 answer
  • Marissa is doing the laundry. She folds 16 items of clothing for each member of her family. There are six people in Marissa's fa
    14·1 answer
  • If the length of side PQ is 5 inches, what are the possible lengths of the other 2 sides?
    13·1 answer
  • 11 feet 8 inches plus 2 feet 9 inches. This confuses me.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!