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salantis [7]
3 years ago
9

The sum of 3 consecutive integers is 144, find the integers.

Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0

Our three consecutive integers can be represented as

X → <em>first integer</em>

X + 1 → <em>second integer</em>

X + 2 → <em>third integer</em>

If the sum of our three consecutive integers is 144, our equation will read...

X + X + 1 + X + 2 = 144

Now, we can simplify on the left. Once we simplify, our equation will now read

3x + 3 = 144

      -3     -3   ← subtract 3 from both sides

       3x = 141  ← divide both sides by 3

       X = 47

X → first integer 47

X + 1 → second integer 48

X + 2 → third integer 49

<u>Therefore, the 3 consecutive integers are 47, 48, and 49.</u>

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2 years ago
105.25 x 70.75<br><br><br> NO LINKS!!!!!
Anarel [89]

Answer:

7446.4375

Step-by-step explanation:

  105.25

x   70.75

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

 52625

First, we will want to start with the hundredths place. multiply 5×5. We get 25. Put the 5 down and carry the 2 above 2 in 105.25. Next, we multiply 2 in 105.25 with 5 in 70.75. 2×5 is 10, then we add the carried 2, and 10+2 is 12. We put the 2 down below, and carry the 1 above 5 in 105.25. Next, we multiply the 5 in 105.25 times 5. 5×5 is 25. We then need to add the carried 1 to 25 to get 26. We put the 6 down and put the 2 over 0 in 105.25. Next, we multiply 0 in 105.25 with 5 in 70.75. 0×5 is 0, plus our carried 2 from before, so 2. We don't need to carry anything since it's only the ones digit, so we put the 0 down. Next, we multiply the 1 in 105.25 with 5 again in 70.75. 1×5=5. Since we have no carries we can put the 5 down without adding anything. If this seemed confusing, let me simplify it for you. You basically start with the bottom number's "digit". For us, that's 70.75, and 5 would be the "digit." (The last digit from the bottom number.) We then multiply this "digit" by every number from the top number's digits. For example, we'd multiply 70.75's 5, with 105.25's 5 first, then continue on going left from there. I hope this helped! If it just confused you more please let me know.  (Also remember to put a 0 when you start multiplying with your second digit on the bottom number)

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3 years ago
Stevens family traveled 240 miles in 4 hours. What was there average speed in miles per hour?
olga nikolaevna [1]
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7 0
3 years ago
Convert the following:<br> 110110two to base ten<br> 25ten to base two<br>​
blagie [28]

Answer:

  • 110110 in base 2 when converted in base 10 will be equal to 54
  • 25 in base 10 is equal to 1001 base 2

Step-by-step explanation:

Part 1: 110110two to base ten

For conversion from base 2 to base 10 we multiply each digits of given number with powers of 2

So

=1*2^5 + 1 * 2^4 + 0 * 2^3 + 1 *2^2 + 1* 2^1 + 0*2^0\\ =1*32+ 1* 16 + 0 + 1*4 + 1*2 +0\\ =32 + 16 +4 + 2\\ = 54

So 110110two when converted in base 10 will be equal to 54

Part 2: 25ten to base two

For conversion from base 10 to base 2 we will divide the given number with 2 repeatedly and store the remainders until the quotient comes 1. The solution is as follows:

25/2 = 12     remainder 1

12/2 = 6       remainder 0

6/2 = 3        remainder 0

3/2 = 1         remainder 1

Now the remainders will be written in inverse order as:

=1001 base 2

So 25 in base 10 is equal to 1001 base 2

I hope it will help you!

7 0
3 years ago
Is this a good definition <br><br> A cat is an animal with whiskers.
Vadim26 [7]
Yes, but it could be more thorough, like for example:<span>a small domesticated carnivorous mammal with soft fur, a short snout, and retractile claws. It is widely kept as a pet or for catching mice, and many breeds have been developed.</span>
5 0
3 years ago
Read 2 more answers
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