Answer:
259+k=x
Step-by-step explanation:
x= total number of miles
Answer: -4/15
Step-by-step explanation: To add these two fractions together,
we start by finding their <em>Least Common Denominator</em> (LCD).
Since our denominators of 5 and 3 have no factors in common,
our least common denominator is 5 · 3 or 15.
In order to get a denominator of 15 in each fraction,
we multiply top and bottom of the first fraction by 3
and top and bottom of the second fraction by 5.
That gives us -9/15 + 5/15 which simplifies to -4/15.
As your last step, make sure that the fraction
that you end up with doesn't reduce.
In this case, -4/15 does not reduce but watch out for this last step.
The next five sequence based on the information about the square will be 36, 49, 64, 81 and 100.
<h3>How to illustrate the information?</h3>
From the information, it was stated that an ancient culture labeled certain numbers as square numbers and that the numbers 1, 4, 9, 16, 25, and so on are square numbers.
It should be noted that the number given are squares of 1,2,3...
Therefore, the next five sequence will be:
6 × 6 = 36
7 × 7 = 49
8 × 8 = 64.
9 × 9 = 81
10 × 10 = 100
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An ancient culture labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. Describe the procedure to determine the next five sequence.
Answer:
28 eggs
Step-by-step explanation:
It takes a hen and a half to lay an egg and a half in a day and a half - this means it takes 1 hen to lay 1 egg in a day and a half. Therefore, 1 hen will lay 4 eggs in 6 days, and 7 hens will lay 28 eggs in 6 days.
The required number is -3 which when added to the numerator and to the denominator of 5/8 results in a fraction whose value is 0.4.
<h3>What is a fraction?</h3>
Fraction is the ratio of a particular part to the whole parts of an object. A fraction has a numerator and a denominator.
<h3>Calculation:</h3>
The given fraction is 5/8
Consider a number as 'x' which is added to both the numerator and the denominator of the given fraction.
So,
(5 + x)/(8 + x)
Since it is given that the result is 0.4 i.e., 4/10, we can write
(5 + x)/(8 + x) = 4/10
⇒ 10(5 + x) = 4(8 + x)
⇒ 50 + 10x = 32 + 4x
⇒ 10x - 4x = 32 - 50
⇒ 6x = -18
⇒ x = -18/6
∴ x = -3
Therefore, the required number is -3.
Check:
(5 + (-3))/(8 + (-3)) = (5 - 3)/(8 - 3) = 2/5 = 0.4
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