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ella [17]
3 years ago
8

John has 2456 pennies in his coin collection. He has the same number of pennies in each of 3 boxes. Estimate to the nearest hund

red the number of pennies in each box.
Mathematics
1 answer:
zhenek [66]3 years ago
6 0
2456 / 3 = 818
Rounded = 800

Answer 800 Pennies in each box.
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WARNING : NON SENSE ANSWER REPORT TO MODERATOR ​
Rzqust [24]

Answer:

\frac{180}{147}

Step-by-step explanation:

  • Simplify (\frac{3}{-7} - \frac{11}{21} )

=> \frac{(-3 \times 3) - 11}{21}

=> \frac{-9 - 11}{21}

=> \frac{-20}{21}

  • Find the additive inverse of  \frac{-20}{21} by using its property - <em>"Sum of a number & its additive inverse is always zero". </em>Assume that 'x' is an additive inverse of  \frac{-20}{21}.

=> x + \frac{-20}{21} = 0

=> x = 0 - (-\frac{20}{21}) = \frac{20}{21}

  • Simplify (\frac{9}{5} \div \frac{7}{5} )

=> \frac{9}{5} \times \frac{1}{\frac{7}{5} }

=> \frac{9}{5} \times \frac{5}{7}

=> \frac{9}{7}

  • Now, find the product of \frac{9}{7} & \frac{20}{21}

=> \frac{9}{7} \times \frac{20}{21}

=> \frac{180}{147}

3 0
3 years ago
Riley has set up a six week payment schedule to pay for his upcoming school camp. he has already put down a 15 percent deposit a
anyanavicka [17]

Answer:

$32.30 each week

Step-by-step explanation:

Deposit = 15%  = $34.20

⇒ total cost of camp = (34.20 ÷ 15) x 100 = $228

Balance left after deposit = 228 - 34.20 = $193.80

If paying the remaining balance in 6 weekly installments,

⇒ weekly payment = 193.80 ÷ 6 = $32.30

4 0
2 years ago
What is 4 and 2/3 written as a radical?
TEA [102]

Answer:

14/3

Step-by-step explanation:

4 and 2/3 = 4 2/3 = 4 + 2/3 = 4/1 + 2/3 = 12/3 + 2/3 = 14/3

7 0
2 years ago
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive
Elena L [17]

Answer:

Constructive Proof

Step-by-step explanation:

Let x be a positive integer

x must be equal to sum of all positive integers exceeding it

i.e.

x = x + (x - 1) + ( x - 2) + ......... + 2 + 1

Equivalently,

x = ∑i (where i = 1 to x)

The property finite sum;

∑i (i = 1 to x) = x(x + 1)/2

So,

x = x(x + 1)/2 ------- Multiply both sides by 2

2 * x = 2 * x(x + 1)/2

2x = x(x + 1)

2x = x² + x ------- subtract 2x from both sides

2x - 2x = x² + x - 2x

0 = x² + x - 2x ----- Rearrange

x² + x - 2x = 0

x² - x = 0 ------ Factorise

x(x - 1) = 0

So,

x = 0 or x - 1 = 0

x = 0 or x = 1 + 0

x = 0 or x = 1

But x ≠ 0

So, x = 1

The statement is only true for x = 1

This makes sense because 1 is the only positive integer not exceeding 1

1 = 1

It is a Constructive Proof

A proof is constructive when we find an element for which the statement is true.

8 0
3 years ago
Enter an equation in standard form.<br> Slope is 5, and (1,8) is on the line.
Georgia [21]

Answer:

5x -y = -3

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=5x+3

In the point-slope form is y−8=5(x−1)

If you don't want to do the work or don't know how: use a slope calcultor there are tons on google and they are rlly helpful

4 0
3 years ago
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