The completion of the table showing the different percentages of the days that Kimmimela and her foster brother fed the rabbits this year is as follows:
<h3>Rabbit Feeding Table:</h3>
Person Time (days) Percentage
Kimimela 350 95.9%
Foster Brother 15 4.1%
<h3>What is a percentage?</h3>
A percentage is a mathematical expression of a number or ratio as a fraction of 100.
A percentage is often denoted with the percent sign, "%."
Most importantly, a percentage shows the relative value of a variable out of the hundredth parts of the class.
For instance, this question showed that Kimimela fed her rabbits 350 out of 365 days of this year. This implies that her foster brother fed the rabbits for 15 days (365 - 350).
<h3>Data and Calculations:</h3>
Person Time (days) Percentage
Kimimela 350 95.9% (350/365 x 100)
Foster Brother 15 4.1% (15/365 x 100)
Total 365 100%
Thus, we can conclude that Kimimela fed the rabbits <u>96%</u> of the days.
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The like terms are the variables which are being multiplied by different coefficients.
In this case, the like terms are:
3a, a
----------
Now, 3a + a = 4a
----------
Therefore:
3a + a + 5
= 4a + 5
t - time, d - distance, v - speed
It will take
1.5 h.
In the question above, to find the height we have to calculate the value of y.
We are going to solve the 2 equations simultaneously.
y = -0.5x²<span> + 3x .............................................(1)
</span><span>-0.5x + 2.42y = 7.65 .....................................(2)
Solve using substitution method.
From the equation 1,
</span>y = -0.5x² + 3x
Substitute the value of y in the equation 2 with y = -0.5x² + 3x
So we have,
-0.5x + 2.42(-0.5x² + 3x ) = 7.65
-0.5x - 1.21x² + 7.26x = 7.65
- 1.21x² + 6.76x = 7.65
1.21x² - 6.76x - 7.65 = 0
This is a quadratic equation.
Solving the for x using quadratic formula.
x = (- - 6.76 +/- √( 6.76² - 4×1.21×7.65)) ÷ 2
= (6.76 +/- √82.7236) ÷2
= 6.76 +/- 9.095
x = 15.86 or -2.335
But distance can not be negative, the value of x = 15.86 ft.
The height which is the value of y will be;
y = -0.5x² + 3x
= -0.5(15.86)² + 3(15.86)
= 125.7698 + 47.58
= 173.3498 ft
Height = 173.3498 ft
Answer:
Explanation:
3. Find LCM of (30, 9):
30 = 2 x 3 x 5
9 = 3 x 3
Thus : LCM(30, 9) = 2 x 3 x 3 x 5 = 90
Therefore, in 90 days he will has both activities again.
4. Determine whether its possible to construct a triangle with the given length.
a.
8 + 9 > 11 (true)
8 + 11 > 9 (true)
9 + 11 > 8 (true)
Thus 8,9 and 11 can be construct as a triangle.
b.
4 + 5.1 > 12.5 (false)
4 + 12.5 > 5 (true)
12.5 + 5 > 4 (true)
Thus, 4, 5.1 and 12.5 cannot be constructed as a triangle.