ANSWER BELOW
#1 is the 1st choice
#2 is the 3rd choice
#3 is the 2nd choice
#4 is the 1st choice
#5 is the 1st choice
Answer:
Find the LCD of the first two, then the LCD of that and the third one.
Step-by-step explanation:
You can do it by finding the LCD of two of the denominators, then the LCD of that and the third denominator.
Or, you can factor each of the denominators and find their LCM by multiplying the unique factors to their highest powers.
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<u>Example:</u>
1/21 + 1/35 + 1/45
The LCD of 1/21 and 1/35 is (21·35)/5 = 105. The LCD of 1/105 and 1/45 is ...
(105·45)/15 = 315
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Using factoring ...
- 21 = 3·7
- 35 = 5·7
- 45 = 3²·5
LCD = 3²·5·7 = 315
A system equations that can be used to determine after how many months the boys will owe the same amount is
60 x = $ 1000
20 y = $ 600
In mathematics, a system of equations, also known as a system of simultaneous or systems of equations, is a finite system of equations for which we have sought common solutions. A system of equations can be classified in a similar way to simple equations. A system of equations finds application in our everyday life in modeling problems where unknown values can be represented in the form of variables.
In algebra, a system of equations contains two or more equations and looks for common solutions to the equations. "A system of linear equations is a set of equations that are satisfied by the same set of variables."
We need to find a system equations that can be used to determine after how many months the boys will owe the same amount
Let lan take x months to pay $ 1000 to his parents
In 1 month Ian pays $60
In x months Ian pays =
60 x= $ 1000
Let Ken take y months to pay $ 600 to his parents
In 1 month Ian pays $20
In y months Ian pays =
20 y= $ 600
Hence 60 x= $ 1000 and 20 y= $ 600 are the system of equations
<u>Learn more about system of equations here</u>:
brainly.com/question/28053213
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Answer:
Here!!
Step-by-step explanation:
Here are a few ratios that are equivalent to 4 : 11 . . . . .
8 : 22
12 : 33
20 : 55
400 : 1100
308 : 847
4 billion : 11 billion
The single dilation of the shape is a dilation by a scale factor of 1.5 with center R
<h3>How to determine the dilation rule?</h3>
From the graph, we have the center of dilation to be point R.
This is so because R = R'
Also, we have:
R = (-1, -4)
S = (2, 0)
S' = (3.5, 2)
Calculate the distance RS and RS' using
This gives
Divide RS' by RS to determine the scale factor (k)
k = 7.5/5
k = 1.5
Hence, the single dilation of the shape is a dilation by a scale factor of 1.5 across point R
Read more about dilation at:
brainly.com/question/13176891
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