Answer:
The inequality is 6 + 3x ≤ 12 or x ≤ 2 .
Step-by-step explanation:
Given that $6 is for admission which is a fixed amount, $3 is charged per hour and must not spend more than $12. So the inequality will be :
Let x be the no. of hours,
6 + 3x ≤ 12
Solve :
6 + 3x ≤ 12
3x ≤ 12 - 6
3x ≤ 6
x ≤ 6 ÷ 3
x ≤ 2
<span>Let be the length, and be the width.
If the length is 1.6 times the width, then
If the sum of the length and with (in feet) is 130, then
</span><span>Substituting in the equation above, the expression for , we get
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Ten, substituting the value found for in we find
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The two equations we set up at the start form a system of linear equations:
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Step-by-step explanation:
1)The given equations are:
x − 2y = 6 ...(i)
3x − 6y = 0 ...(ii)
Putting x = 0 in equation (i) we get
=> 0 - 2y = 6
=> y = -3
x = 0, y = -3
Putting y = 0 in equation (i) we get
⇒x-2×0=6
⇒x=6
x = 6, y = 0
Use the following table to draw the graph
x 0 6
y -3 0
Plotting the two points A(0, -3) and B(6,0) equaion (1) can be drawn
Graph of the equation ..(ii)
3x - 6y = 0 ...(ii)
Putting x = 0 in equation (ii) we get
⇒3×0-6y=0
=> y = 0
x = 0, y = 0
Putting x = 2 in equation (2) we get
⇒3×2-6y=0
=> y = 1
x = 2, y = 1
Use the following table to draw the graph.
x 0 2
y 0 1
Draw the graph by plotting the two points O(0,0) and D(2,1) from table
We see that the two lines are parallel, so they won’t intersect
Hence there is no solution
2)
Answer:
Hello this question is impossible ask your teacher or find if you didnt make any mistake copying this HW.
Step-by-step explanation:
You have 3x/5 red balls but next sentence is talking about that Yellow balls have to be in ratio 5:3 but it is impossible because Red balls + Yellow balls would make 6x/5 of balls which is not possible