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Soloha48 [4]
3 years ago
10

When adding two numbers, such as 123 and 423, care is taken to first line them up and then add like digits. How does expanding t

his expression to [(1 × 102) + (2 × 101) + (3 × 100)] + [(4 × 102) + (2 × 101) + (3 × 100)] make the operation more like a polynomial addition problem?
Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0
Think of 10^2, 10^1, and 10^0 as x^2, x^1, and x^0.
When you add polynomials, you can only combine like terms.
When you add expanded numbers, you can only combine like powers of 10.

123 + 423 =

= (100 + 20 + 3) + (400 + 20 + 3)

= (1 * 10^2 + 2 * 10^1 + 3 * 10^0) + (4 * 10^2 + 2 * 10^1 + 3 * 10^0)

= (1 * 10^2 + 4 * 10^2) + (2 * 10^1 + 2 * 10^1) + (3 * 10^0 + 3 * 10^0)

= 5 * 10^2 + 4 * 10^1 + 6 * 10^0

= 500 + 40 + 6

= 546
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James was trying to sleep one night but there was too much noise around him. His clock ticked every
g100num [7]

Answer:

<em>It will occur zero times between midnight and one o'clock.</em>

Step-by-step explanation:

<u>Least Common Multiple (LCM)</u>

Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.

All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.

List the prime factors of each number:

20: 2,2,5

15: 3,5

27: 3,3,3

Now multiply all the factors the maximum number of times they appear:

LCM=2*2*3*3*3*5=540

(a) All the events will happen together again after 540 minutes.

(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.

4 0
3 years ago
Please answer this question ASAP
Vilka [71]

Answer:

First, second, third, and fourth are functions

Step-by-step explanation:

Each input in the first, second, third, and fourth only have one output. In the fifth one 3.3 and 6.6 are seen twice as the x-value, so this is incorrect.

(answered this on your other question, but I will put it here too!)

Cada entrada en la primera, segunda, tercera y cuarta tiene solo una salida. En el quinto, 3.3 y 6.6 se ven dos veces como el valor de x, por lo que esto es incorrecto.

(respondí esto en tu otra pregunta, ¡pero también lo pondré aquí!)

3 0
2 years ago
Carson is training for a race. He ran 12.56 miles on one day and 12.98 miles the next day. How much farther did he run the secon
taurus [48]

Answer:

.42 miles more

Step-by-step explanation:

12.98 minus 12.56

6 0
3 years ago
What term must go in the space to complete the statement
irakobra [83]

Answer:

5v+35 = 5(v+7)

Step-by-step explanation:

5(v+7) = 5v+35

3 0
3 years ago
Read 2 more answers
13 gallons is the same as how many liters?<br> Hint: 1 gal 3.8 L
I am Lyosha [343]

Answer:

49.4

Step-by-step explanation:

So, 1 Gallon = 3.8 Liters.  We need to find how many liters are in 13 gallons.

All we need to do is multiply our 3.8 liters (1 gallon) by 13 to find out how many  liters 13 gallons is.

3.8 x 13 = 49.4

Your answer is 49.4.

<u>Hope this helps and have a nice day!</u>

5 0
2 years ago
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