Answer:
You can make 64 different sums (which includes a sum of $0 using none of the coins).
Step-by-step explanation:
The number of sums you can make is equal to:
⁶C₀ + ⁶C₁ + ⁶C₂ + ⁶C₃ + ⁶C₄ + ⁶C₅ +⁶C₆ = 1 + 6 + 15 + 20 + 15 + 6 + 1 = 64
Answer:
7x -2y
Step-by-step explanation:
5x−4y+2(y+x)
Distribute
5x -4y +2y +2x
Combine like terms
5x +2x -4y +2y
7x -2y
The side length is 3 inches
<h3>What is the perimeter of a cube?</h3>
The formula for perimeter of a cube is given as:
Perimeter = 12 × side length
We have that;
- Perimeter = 36 inches
- Side length be x
Substitute into the formula
12x = 36
Divide both sides by 12
12x/12 = 36 / 12
x = 3 inches
The side length is x and equal to 3 inches.
Hence, the side length is 3 inches
Learn more about a cube here:
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The graph first represents the provided piecewise function option first is correct.
<h3>What is a piecewise function?</h3>
The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have a piecewise function shown in the picture.
After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.
Thus, the graph first represents the provided piecewise function option first is correct.
Learn more about the piecewise function here:
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The angle measures in any triangles add up to 180 degrees
