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Viefleur [7K]
3 years ago
7

The sum of 3 consecutive even numbers is equal to 24. Find the numbers. ​

Mathematics
1 answer:
Alinara [238K]3 years ago
4 0

The best method i found is guess-and-check. Just guess the three numbers. If you do this you should get 6+8+10.

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Boston has an area of 90 square miles. It has a population density of 6862 people per square mile. What is the population of Bos
Tamiku [17]
Divide 315,530,612 by 3,539,225 to get 89 people per square mile (rounded)
3 0
3 years ago
Mable has 185 dollars worth of apples. Each apple is worth more then 3 dollars but less then 10 dollars. The number has four let
velikii [3]

Answer:

The worth of each of Mable's apples is $5

Step-by-step explanation:

 Extracting the key information from the question:

***Mable has apples that are worth a combined 185 dollars.

*** One apple from Mable's apples worth more than three ($3) dollars but less than ten ($10) dollars.

***The cost of one apple is a number that has four letters.

*** That number (the cost) of one apple is also a prime number.

*** We are required to find or determine the worth of one of Mable's apples.

   Now, one of the clues given to us which we may use to figure out the cost or worth of one apple is that the apple is worth more than three dollars ($3) but worth less than ten dollars ($10). This means that each Mable's apple may worth $4 or $5 or $6 or $7 or $8 or $9. That is one of Mable's apples worth from $4 to $9

   Another clue to solving this puzzle is that the worth of one apple in dollars is a prime number. This implies that one of Mable's apples may worth either five dollars ($5) or seven dollars ($7).

   

  The next clue for unravelling this mystery is that all Mable's apples are worth a combined $185. This then means that the worth of each apple (the number) must be able to divide 185.

   Since $7 and $5 are the only two figures left standing, we will then try and see which one of them will be able to do divide the number "185".

 185/7  = 26 remainder 3

 185/5  = 37 remainder 0

 The final clue in the question is that the worth of each of Mable's apples is a figure/number that has only letters:

$7 SEVEN has = 5 letters

$5 FIVE has = 4 letters

 This now brings us to the conclusion that the worth of each of Mable's apples is five dollars ($5)  since it meets all the requirements and clues in the question.

6 0
3 years ago
Joanna bought a gallon container of milk at the store what is the volume of the container in cups
Tomtit [17]

Answer:

16 cups.

Step-by-step explanation:

A cup is 8 ounces, and a gallon is 128 ounces.

4 0
3 years ago
Read 2 more answers
On Halloween, a man presents a child with a bowl containing eight different pieces of candy. He tells her that she may have thre
likoan [24]

Answer:

56 choices

Step-by-step explanation:

We know that we'll have to solve this problem with a permutation or a combination, but which one do we use? The answer is a combination because the order in which the child picks the candy <u><em>does not</em></u> matter.

To further demonstrate this, imagine I have 4 pieces of candy labeled A, B, C, and D. I could choose A, then C, then B or I could choose C, then B, then A, but in the end, I still have the same pieces, regardless of what order I pick them in. I hope that helps to understand why this problem will be solved with a combination.

Anyways, back to the solving! Remember that the combination formula is

_nC_r=\frac{n!}{r!(n-r)!}, where n is the number of objects in the sample (the number of objects you choose from) and r is the number of objects that are to be chosen.

In this case, n=8 and r=3. Substituting these values into the formula gives us:

_8C_3=\frac{8!}{3!5!}

= \frac{8*7*6*5*4*3*2*1}{3*2*1*5*4*3*2*1} (Expand the factorials)

=\frac{8*7*6}{3*2*1} (Cancel out 5*4*3*2*1)

=\frac{8*7*6}{6} (Evaluate denominator)

=8*7 (Cancel out 6)

=56

Therefore, the child has \bf56 different ways to pick the candies. Hope this helps!

3 0
3 years ago
Solve for x in the figure below. Write your answer in simplest radical form. X = ____
Gnesinka [82]
A^2+b^2=c^2
7^2+11^2=?
49+121=170
x= Square root of 170

Hope this helps!! :)
7 0
2 years ago
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