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Burka [1]
3 years ago
15

Demonstrate that the digits of a perfect square cannot add to 2, 3, 5, 6, or 8

Mathematics
1 answer:
Lelu [443]3 years ago
5 0
It depends on what did you mean by saying perfect square. If I've understood it correctly, I can help you with a part of your problem. The squares of mod <span>9</span><span> are </span><span><span>1</span><span>,4,7</span></span><span> which are came from </span><span><span>1,2,</span><span>4.</span></span><span> </span>Addition of the given numbers are 2,3,5,6, 8, which are exactly the part of your problem. This number, which is not shown as squares Mod 9, and thus doesn't appear as a sum of digits of a perfect square. I hope you will find it helpful.
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Jackie bought 20 lb. of dog food. The dog food is packaged in 2, 4, and 8 lb. bags. How many bags of each size would Jackie have
Len [333]

Answer: 10 bags that weigh 2 lb.

5 bags that weigh 4 lb.

2.5 bags that weigh 8 lb.

Hope this helps.

Step-by-step explanation:

8 0
3 years ago
Susan and ronald dugan agreed upon the price of 256,000 for their new home. They plan to make 30 percent down payment and financ
Eduardwww [97]

Answer:

The total amount to be paid for new home is $838,014.72  

Step-by-step explanation:

Given as :

The price of the new house = $256,000

The down payment amount = 30% of house price

So, The down payment price =  30% of $256,000

i.e The down payment price =  \dfrac{30}{100} × 256000

Or, The down payment price = $76,800

Now, rest amount is finance

So, The finance Amount = p = $256000 - $76800 = $179,200

The rate of interest applied = r = 7.5%

The time period of finance = t = 20 years

Let The Amount after 20 years of finance = $A

Let The total amount to be paid for new home = $B

<u>Now, From Compound Interest </u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $179,200 × (1+\dfrac{\textrm 7.5}{100})^{\textrm 20}

Or, A = $179,200 × (1.075)^{\textrm 20}

Or, A = $179,200 × 4.24785

∴  A = $761,214.72

So,The Amount after 20 years of finance = A = $761,214.72

<u>Now, Again</u>

The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance

Or, B = $76,800 + A

Or, B = $76,800 + $761,214.72

Or, B = $838,014.72

So, The total amount to be paid for new home = B = $838,014.72

Hence, The total amount to be paid for new home is $838,014.72  Answer

7 0
3 years ago
How do i solve x² + x - 2
jeka94
Square x first then add x then subtract by 2
8 0
3 years ago
which of the following fractions are equivalent? 3/4 and 6/7. 2/3 and 12/13. 1/9 and 4/12. 1/6 and 3/18
sertanlavr [38]

Answer:

1/6 and 3/18

Step-by-step explanation:

I used the butterfly method to compare all the fraction pairs together and then 1/6 and 3/18 were equal. Hopefully I can help you.

8 0
3 years ago
A farmer has 100 gallons of 70% pure disinfectant. He wishes to mix it with disinfectant which is 90% pure in order to obtain 75
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33.33 Gallons.


Hope this helps! :D

5 0
3 years ago
Read 2 more answers
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