The approximate solution to the given system of equation is (-2.71, 2.14)
<h3>Solving a system of linear equations</h3>
From the question, we are to determine the approximate solution to the given system of linear equations.
The given equations are
y = 0.5x + 3.5
y = -2/3 x+ 1/3
From the given information, we are to show the solutions on a graph
The graph that shows the solution to the given system of equation is shown below.
The solution to the given system is the point of intersection of the lines. The coordinate of the point of intersection of the lines is (-2.71, 2.14). That is, x = -2.71, y = 2.14.
Hence, the approximate solution to the given system of equation is (-2.71, 2.14)
Learn more on Solving systems of linear equations here: brainly.com/question/14323743
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Answer:
15% of the teas are caffeinated
Step-by-step explanation:
Use the formula:
part/whole = t/100%
where t will be representing the percent of caffeinated tea.
Plug in the given to the formula shown above:
9/60 = t/100
Solve using cross product
(9 x 100) = (60 x t)
900/60 = 60t/60
15 = t
<h3><u>AnswEr</u><u> </u><u>:</u></h3>
The 2 unknown numbers are 4 and 5 .
<h3><u>Expla</u><u>nation</u><u> </u><u>:</u></h3>
Let the numbers be x and x + 1.
From the given information,






But, as we know -5 is not a natural number,
Hence, x = 4 .
<u>So the 2 unknown numbers are</u><u> </u><u>:</u>
- x + 1 = 4 + 1 = 5 [2nd number]
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You have to add more there is no context here, apologies but try to make another question with maybe a picture and more text?
The equation that could be used to find x, the average number of feet the tree grew each month is; 14x + 10 = 56.2
<h3>Algebra Word Problems</h3>
We are told that the tree was planted at a height of 10 ft.
Period for which tree was planted = 14 months
Height of tree after 14 months = 56.2 ft.
Thus, if x is the average number of feet the tree grew each month, then the equation to find x is;
14x + 10 = 56.2
Read more about algebra word problems at; brainly.com/question/21405634