Step-by-step explanation:
Since we have given that
Number of hour Marco practiced the piano on Monday is given by
![\frac{7}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D)
Number of hours Marco practiced the piano on Tuesday is given by
![1\frac{1}{4}=\frac{5}{4}\ hours](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B5%7D%7B4%7D%5C%20hours)
1) For Adding :
Total number of hours he practiced on both Monday and Tuesday will be
![\frac{7}{10}+\frac{5}{4}\\\\=\frac{14+25}{20}\\\\=\frac{39}{20}\ hours](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D%2B%5Cfrac%7B5%7D%7B4%7D%5C%5C%5C%5C%3D%5Cfrac%7B14%2B25%7D%7B20%7D%5C%5C%5C%5C%3D%5Cfrac%7B39%7D%7B20%7D%5C%20hours)
2) For Subtraction,
Number of hour he practiced more on Tuesday than on Monday will be
![\frac{5}{4}-\frac{7}{10}\\\\=\frac{25-14}{20}\\\\=\frac{9}{20}\ hours](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D-%5Cfrac%7B7%7D%7B10%7D%5C%5C%5C%5C%3D%5Cfrac%7B25-14%7D%7B20%7D%5C%5C%5C%5C%3D%5Cfrac%7B9%7D%7B20%7D%5C%20hours)
The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8) thus option (A),(B) and (D) are correct.
<h3>What is the equation?</h3>
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
3x - y = 1
Substitute, x = -2
3(-2) - y = 1
y = -7 thus (-2,-7) satisfied.
Similarly (-1,-4) and (3,8) are also satisfied.
Hence "The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8)".
For more about the equation,
brainly.com/question/10413253
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Answer:
36:85
Step-by-step explanation:
Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.
According to CAH
Cos∠N = Adjacent/Hypotenuse
Hypotenuse is the longest of the triangle |ON| = 85
Since the opposite side to ∠N is 77, the third side will be the Adjacent side.
Adjacent side will be |NP| = 36
Therefore:
Cos∠N = 36/85
The ratio that represents the cosine of ∠N is 36:85
Answer:
t5ju8i8
Step-by-step explanation:
For 6: 12, 18, 24, 30, 36
For 9: 18, 27, 36, 45, 54
For 7: 14, 21, 28, 35, 42