Answer:
1) 
2) 
3) 
Step-by-step explanation:
1) Length of a ruler = r
Height of Shiela = s
According to the question ,
5 times the length of a ruler increased by 2 .
⇒ 
Also , 5r + 2 is less than height of Shiela.
Hence , the linear inequality is ⇒
2) Let the cost of each t-shirt be 't' & cost of each short be 's'.
⇒ Cost of dozen of t-shirts = 12t and Cost of half a dozen shorts = 6s
According to the question ,
12t & 6s is not greater than Php 960.
Hence the linear inequality is ⇒
3) Let the number of Php 100-peso tickets be 'p' and let the number of Php 50-peso tickets be 'q'.
According to the question ,
Difference of p & q is not less than 30
Hence the linear inequality is ⇒
Answer:
6
Step-by-step explanation:
x/18 = 1/3
3x = 18
x = 6
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>:
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The length of line BC is 16. 12
<h3>How to determine the value</h3>
We have that;
- Line BD = 12
- Line AD = 5
- Line BC = unknown
Let's line BA, using Pythagorean theorem
BA =
BA =
BA =
BA = 13
Now, let's find BC
cos 30 = line BA/ line BC
0. 8660 = 14/ BC
cross multiply
BC = 14/0.8660
BC = 16. 12
Thus, the length of line BC is 16. 12
Learn more about Pythagorean theorem here:
brainly.com/question/654982
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Answer: $1582.40
Step-by-step explanation:
Since it's a simple interest rate, you just have to multiply $39,650 by 0.04, which is equal to 4%. When you do this, you get $1582.40.
