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zavuch27 [327]
4 years ago
13

Find the sales tax for three cds if each cd is 14.29 and the sales tax is 7.25%

Mathematics
1 answer:
Arlecino [84]4 years ago
6 0
3 x 14.29 = 42.87 subtotal. 42.87 x .0725 = $3.11 sales tax. total is 45.98.
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harkovskaia [24]
So,

For number one, there will be an infinite number of solutions, as there are two placeholders.
3x - 2y = 6
It seems we can use the intercept method.
3x - 2(0) = 6
3x = 6

Divide both sides by 3
x = 2

This is one solution: (2,0)

3(0) - 2y = 6
-2y = 6

Divide both sidees by -2
y = -3

This is another solution: (0,-3)
You should now be able to draw the line.
If you want intercept form for this equation, just manipulate the equation in order to get the y = mx + b form.

Subtract 3x from both sides
-2y = -3x + 6

Divide both sides by -2
y =  \frac{3}{2} x + 6


For the second problem, simply manipulate the equation.
\frac{1}{3} (6x - 9) =  \frac{3}{4} (4x - 8)

Distribute
2x - 3 = 3x - 6

Subtract 2x from both sides
-3 = x - 6

Add 6 to both sides
3 = x


For the third problem, do the same thing.
\frac{3(2x-1)}{4} = x +  \frac{7}{2}

We must first multiply both sides by 4.
3(2x-1) = 4x + 14

Distribute
6x - 3 = 4x + 14

Subtract 4x from both sides
2x - 3 = 14

Add 3 to both sides
2x = 17

Divide both sides by 2
x =  \frac{17}{2} \ or\ 8 \frac{1}{2}
5 0
3 years ago
Order the fractions from least to greatest: 4/6, 36/8, 12/18
evablogger [386]
0. We have 4/6, 36/8, and 12/18
1. Simplify the fractions: 2/3, 9/2, 2/3
2. Order them: 4/6 and 12/18, 36/8
4 0
3 years ago
Read 2 more answers
If the perimeter of a rectangular property is 46 meters, and the area of the property is 76 meters squared, what is the length o
kupik [55]
This needs to be found by substitution and then by factoring. First we know that, using the perimeter formula for a rectangle, the perimeter is 46=2L+2W and the area is 76=L*W. We need to solve for one of those variables cuz we have too many unknowns right now. Let's solve the perimeter formula for L: 46=2L+2W, 2L=46-2W and L=23-W. Now that we have a value for L in terms of W, sub that L value in to the area formula to solve for W: 76=L*W, 76=(23-W), 76=23W-W^2, and W^2-23W+76=0. We have to factor that now to solve for the 2 values of W. When we factor that, we get that W=19 and W=4. Let's first try out the W value of 19 in our L substitution formula: L=23-W so L=23-19 and L=4. That means that we have a Width of 19 and a Length of 4. Trying out the other W of 4 we get L=23-W so L=23-4 and L=19. That gives us a Width of 4 and a Length of 19. In both cases we have a combination of 4 and 19. So whether we say that the length is shorter than the width or that the width is shorter than the length doesn't matter because we only have 2 values for both and they want the shorter of the 2 sides in number not definition. In other words they don't want you to decide if width is shorter or longer than length, they only want the number value for the shorter side which is 4. That's your answer: 4
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3 years ago
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2 years ago
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olga55 [171]
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