Simplifying
5x + 2(8x + -9) = 3(x + 4) + -5(2x + 7)
Reorder the terms:
5x + 2(-9 + 8x) = 3(x + 4) + -5(2x + 7)
5x + (-9 * 2 + 8x * 2) = 3(x + 4) + -5(2x + 7)
5x + (-18 + 16x) = 3(x + 4) + -5(2x + 7)
Reorder the terms:
-18 + 5x + 16x = 3(x + 4) + -5(2x + 7)
Combine like terms: 5x + 16x = 21x
-18 + 21x = 3(x + 4) + -5(2x + 7)
Reorder the terms:
-18 + 21x = 3(4 + x) + -5(2x + 7)
-18 + 21x = (4 * 3 + x * 3) + -5(2x + 7)
-18 + 21x = (12 + 3x) + -5(2x + 7)
Reorder the terms:
-18 + 21x = 12 + 3x + -5(7 + 2x)
-18 + 21x = 12 + 3x + (7 * -5 + 2x * -5)
-18 + 21x = 12 + 3x + (-35 + -10x)
Reorder the terms:
-18 + 21x = 12 + -35 + 3x + -10x
Combine like terms: 12 + -35 = -23
-18 + 21x = -23 + 3x + -10x
Combine like terms: 3x + -10x = -7x
-18 + 21x = -23 + -7x
Solving
-18 + 21x = -23 + -7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7x' to each side of the equation.
-18 + 21x + 7x = -23 + -7x + 7x
Combine like terms: 21x + 7x = 28x
-18 + 28x = -23 + -7x + 7x
Combine like terms: -7x + 7x = 0
-18 + 28x = -23 + 0
-18 + 28x = -23
Add '18' to each side of the equation.
-18 + 18 + 28x = -23 + 18
Combine like terms: -18 + 18 = 0
0 + 28x = -23 + 18
28x = -23 + 18
Combine like terms: -23 + 18 = -5
28x = -5
Divide each side by '28'.
x = -0.1785714286
Simplifying
x = -0.1785714286
Answer:
An exterior angle=60°
An interior angle=120°
Step-by-step explanation:
Hexagon has 6 sides
Each exterior angle=360➗number of sides
Each exterior angle=360 ➗ 6
Each exterior angle=60°
Each interior angle=180-60
Each interior angle=120°
Answer:
A
Step-by-step explanation:
Take a look at the graph starting from the left. You’ll see that on the horizontal line, the graph starts at -4 then starts to go downward until it gets to -2 and it starts going up after that so your first interval is (-4, -2). The line increases from -2 to 2 and then it starts sliding downward again from 2 to 4 so your second decreasing interval is (2, 4).
Answer:
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we know that
To find out how much money the total snake exhibit earned in 6 days, add up the total number of visitors to the snake exhibit each day for 6 days and multiply that by the cost of admission per person
so
Find the total number of visitors for 6 days
Multiply the total number of visitors by the admission cost per person
so
4 feet 8 inches
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First find how many inches are in 4 feet + 8 inches. There are 12 inches in 1 foot. Multiply 4 x 12 = 48. Add 8 to 48 = 56. Laney's height in inches is 56 inches.
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There are 2.54 centimeters in 1 inch. Multiply 56 x 2.54 = 142.24.
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Laney's height is 142.24 centimeters.
