Answer:
So the total area of the compound shape is 48 cm². Summary: Find the missing lengths around your L shape and divide the shape into 2 rectangles. Find the area of both rectangle and add them up to give the total area of the compound shape.
Step-by-step explanation:
Answer:
a) one solution
b) no solution
Step-by-step explanation:
Systems of equations can be described as having one solution, no solution or infinite solutions:
One solution: 'x' and 'y' are equal to only one value
No solution: 'x' and 'y' can not be solved with the given equations
Infinite solutions: values for 'x' and 'y' include all real numbers
In order to evaluate the systems, putting them in the same format is your first step:
a) - y = -5x - 6 or y - 5x = 6
y - 5x = -6
Since both equations have the same expression 'y - 5x', but there are equal to opposite values, this system would have no solution, as this would not be possible to calculate.
b) y + 3x = -1
y = 3x -1 or y - 3x = -1
Solving for 'y' by adding the equations and eliminating 'x', gives us:
2y = -2 or y = -1
Using y = -1 to plug back into an equation and solve for 'x': -1 + 3x = -1 or x = 0. Since 'x' and 'y' can be solved for a value, the system has just one solution.

<h2>
Explanation:</h2>
For inequalities, "a is no more than b" can be written as:

Here we know Candace that can spend no more than $52 before tax. She can spend a certain amount of money in both Dark Roast coffee and Morning Blend coffee. So she spends:
- 2 pounds of Morning Blend coffee.
- p pounds of Dark Roast coffee
Therefore:
<u>Amount of money for Morning Blend coffee:</u>

<u>Amount of money for Dark Roast coffee:</u>

So the total amount of money:

Finally, the inequality becomes:

Besides, in order to know how many pounds she can spend let's solve for p:

So she can spend less that 4.13 pounds.
<h2>Learn more:</h2>
Inequalities: brainly.com/question/12890742
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First you add like terms in which this case is -.46x and .16x which equals -.3x then divide 6.6 into -.3 which is -22. x = -22