All categories

2 years ago

5. Explain how you could use compatible numbers to estimate 245 ÷ 3. Then estimate the quotient.

Mathematics

1 answer:

sdas [7]2 years ago

4 0

Answer:

Step-by-step explanation:

Compatible numbers are defined as the numbers which are very close to the numbers that they are replacing that divides evenly into each other.

In the context, we have to estimate the quotient using the compatible numbers in order to estimate 245 divided by 3.

So, estimating 245 as 240 and 3 as 30.

Here, 240 is very close to 245 and 30 is close to 3. So the quotient is the result when we divide 240 by 30 and it divides evenly into 240.

We first divide the non zero parts of each number i.e. 24 by 3 to get the first part of the estimate.

Then we add on the zero if there were left in the problem to get your estimate.

Therefore,

240 / 30 = 8

So here, the quotient is estimated as 8.

You might be interested in

1. Given a sequence is defined by the explicit definition tn=n^2+n, find the 4th term of the sequence. (ie t4)

dem82 [27]

Answer:

20,

27,

3,5,9,17,33

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

How do you find the area of this

zlopas [31]

Answer:

2345 units^2

Step-by-step explanation:

First, you can use Soh Cah Toa to find line c to be 36*sqrt(2). Furthermore, you can use the same equation to find the other sides to be both 65.15. To further solve, you just need to multiply 65.15 by 36 to get a final answer of 2,345.4 units^2

Please Mark Brainliest if this helped!

5 0

3 years ago

4 to the square root of 2 x the square root of 2

dexar [7]

Answer:

Step-by-step explanation:

$4 \sqrt{2} \times \sqrt{2}$

$4 \sqrt{2 \times 2}$

$4 \sqrt{4}$

$4 \sqrt{2}$

$4$

5 0

2 years ago

Examine the table below showing the merchandising sales and answer the questions that follow.

-BARSIC- [3]

Answer:

The mean amount spent = £14.80

The modal product is hoodies.

Step-by-step explanation:

Here

25 T shirts each costing £10 were purchased

Amount spent on T shirts = 25 × 10 = £250

30 key ring of £5 were purchased

Amount spent on key ring = 30 × 5 = £150

40 Hoodies for £25 each

Amount spent on Hoodies = 40 × 25 =£1000

30 CD's for £15 each

Amount spent on CD's = 30 ×15 = £450

Total amount spent = 250 +150 + 1000 + 450 = £1850

Total items purchased = 25 + 30 + 40 + 30 = 125

Mean amount spent = $\frac{1850}{125}= 14.80$

The modal product is Hoodies as the maximum number of hoodies were purchased.

6 0

3 years ago

PLEASE HELP ASAP!!!

barxatty [35]

Answers:

24000 dollars invested at 4%
18000 dollars was invested at 7%

======================================================

Work Shown:

x = amount invested at 4%

If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%

She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account

This means we have

0.04x+0.07(42000-x)

0.04x+0.07*42000-0.07x

0.04x+2940-0.07x

-0.03x+2940

This represents the total amount of money earned after 1 year.

We're told the amount earned in interest is $2220, so we can say,

-0.03x+2940 = 2220

-0.03x = 2220-2940

-0.03x = -720

x = -720/(-0.03)

x = 24000 dollars is the amount invested at 4%

42000-x = 42000-24000 = 18000 dollars was invested at 7%

----------------------

As a check, we can see that

18000+24000 = 42000

and also

0.04x = 0.04*24000 = 960 earned from the first account

0.07*18000 = 1260 earned from the second account

1260+960 = 2220 is the total interest earned from both accounts combined

This confirms our answers.

7 0

3 years ago

5. Explain how you could use compatible numbers to estimate 245 ÷ 3. Then estimate the quotient.​

5. Explain how you could use compatible numbers to estimate 245 ÷ 3. Then estimate the quotient.