The property of the questions are correctly stated below.
<h3>Properties of the various given equations </h3>
- Commutative property of addition: This is represented by equation 7
- Commutative property of multiplication: This is represented by equation 5.
- Associative property of addition: This is represented by equation 4.
- Associative property of multiplication: Not represented with any equation.
- Additive identity property: This is represented by equation 10.
- Multiplicative identity property: This is represented by equation 1.
- Multiplicative property of zero: This is represented by equation 8.
- Multiplicative inverse property: Not represented with any equation.
- Distribution property: This is represented by equation 2.
- Reflexive property: This is represented by equation 3.
- Symmetric property: Not represented with any equation.
- Transitive property: This is represented by equation 2.
- Substitution property: This is represented by equation 2.
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<h2><u>Part A</u>: He started with
4 miles. </h2>
<u>Explanation Part A</u>: 51.664 = (x((1.2⁷)-1)) / 0.2
<h2>
<u>Part B</u>: The equation is
51.664 = (x(1.2⁷)-1)/0.2</h2>
<u>Explanation</u>: n = 7 and on day 7 he traveled 51.664 so Sn = 51.664.
We get the second part of the equation because each day is increased by 20% so we have r = (1.2x) / x = 1.2
So our top half will be x multiplied by ((1.2)⁷-1) because it's the 7th day and we are increasing by 1.2x - 1.
Our bottom half is 1.2 - 1 which equals 0.2
<h2><u>Part C</u> :
103.83 miles</h2>
<u>Explanation: </u> We now have x which is 4 so we plug x into the equation above and remove the 51.664. We also change the 1.2⁷ to 1.2¹⁰ because it's the 10th day not the 7th.
Our equation now looks like (4(1.2¹⁰)-1) / 0.2 which is equal to 103.83 miles.
Length of the rectangular patio = 12 1/2 feet
= 25/2 feet
Area of the rectangular patio = 103 1/8 square feet
= 825/8 square feet
Let us assume the width of the rectangular patio = x feet
Then
Area of the rectangular patio = Length * Width
825/8 = (25/2) * x
25x/2 = 825/8
25x = (825 * 2)/8 feet
25x = 825/4 feet
x = 825/(4 * 25) feet
= 33/4 feet
= 8 1/4 feet
So the width of the rectangular patio is 8 1/4 feet. I hope the procedure is clear enough for you to understand.
Answer: x = 40.5
Step-by-step explanation:
Simply divide 27/(2/3) to get 40.5
<em>Hope it helps <3</em>
Answer:
L = 7 W= 12
Step-by-step explanation:
Ok so we already know that a rectangle is not even so the numbers will have to be 2 diff numbers.
The length is 5 feet less then width
w*l= 84
1* 84 2* 41 3*28 4*21 6*14 7*12
84-1 41-2 28-3 21-4 14-6 12-7
83 39 25 19 8 5
So,
your equation would be l*w = 7*12
