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Galina-37 [17]
2 years ago
6

Write two numbers that when rounded to the greatest place value have an estimated sum of 11,000 and an estimated difference of 3

,000. Then find the exact sum and the exact difference. Provide a detailed explanation as to how you reached your answers and why they will work.​
Mathematics
1 answer:
lianna [129]2 years ago
8 0

Answer:

x + y = 10,999.5 (rounded up to 11000)

x - y =  3,000.3 (this would be rounded down to 3000)

Step-by-step explanation:

Assume;

Two numbers are x, y

So,

x + y = 11,000 .......eq1

x - y = 3,000 .........eq2

eq1 + eq2

So,

2x =14,000

x = 7,000

So y = 4,000

For rounding number

x = 6,999.9 (rounded up to 7,000)

y = 3,999.6 (rounded up to 4,000)

Sum;

x + y = 10999.5 (rounded up to 11000)

x - y =  3000.3 (this would be rounded down to 3000)

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The final value of the car will be given by:

final = origamt(1 - .20) to the 4th power. The car will retain therefore,only 80% of its original value from the preceding year for each of the 4 years starting with an original value of $35000.

The calculation is

final \:  value \\  = (35000) {(.8)}^{4}  \\  = 35000 \times .4096 \\  =

A measely $14,336!

7 0
2 years ago
Kim is reading a book with 380 pages. She read 20 pages each day until she reached Part 2 of the book. Part 2 of the book is 160
d1i1m1o1n [39]
If you divide 380 by 20, you get 19. To check this, multiply 20 x 19 to see 380. Hope this helps :D
6 0
2 years ago
Read 2 more answers
Determine whether the dilation from the figure on the left to the figure on the right is an enlargement or a reduction. Then fin
dybincka [34]

Answer:

A.

Step-by-step explanation:

we are going from a large shape to a smaller shape. the proof is that the side lengths go down from 7m to 0.5m. so, it is a reduction.

and the scaling factor s ? what do we need to multiply the original side lengths with to get the new ones ?

7 × s = 0.5 = 1/2

s = (1/2)/7 = (1/2)/(7/1) = (1×1)/(2×7) = 1/14

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8 0
2 years ago
The perimeter of a rectangular flower garden is 80 m and its area is 375 m2. Find the length of the garden.
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5 0
2 years ago
Pat's ending balance on his debit card last month was $233.55. This month he had $542 worth of purchases and $710 worth of depos
ad-work [718]

Answer:

$401.55                              

Step-by-step explanation:

Given:

Pat's ending balance on his debit card last month was $233.55,<u> we can consider it as opening balance for this month as carry forwarded.</u>

This month he had $542 worth of purchases.

This month he had $710 worth of deposits.

Question asked:

What is his ending balance for this month ?

Solution:

We can easily find the ending balance by subtracting purchase amount as it will reduce the balance and we will add deposits as it increase the balance of debit card.

Opening balance of debit card =  $233.55

Purchases worth of = $542

Deposit worth of = $710

<em><u>Ending balance for this month = Opening balance of debit card + Deposit - Purchases </u></em>

Ending balance for this month =  $233.55 +  $710 - $542  

                                                  = $943.55 - $542 = $401.55        

Therefore, the ending balance for this month in his debit card is $401.55                              

4 0
2 years ago
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