Adam and his dad split the bill in a 2:3 ratio. The dad’s share equals the 3 parts and is £52.20, so one part is 52.20 ÷ 3 = £17.40. Adam’s portion (2 parts) is 2 × 17.40 = £34.80. The total cost is 34.80 + 52.20 = £87.00.
Hello!
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Solution:
The ratio is expressed as 4 to 1.
Add these parts together.
4 + 1 equals 5.
Now divide.
150 divided by 5 results in 30.
Next, multiply to find Ivan's share.
30 multiplied by 4 gives us 120.
30 multiplied by 1 equals 30 for Tanya.
Verify.
120 plus 30 totals 150.
Then subtract.
120 minus 30 equals 90.
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Answer:
Ivan possesses £90 more than Tanya!
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I hope this has been helpful! Best of luck!
Response:
The fence's width is 6 feet.
Detailed explanation:
To start, let’s define some variables.
Let the width of the fence be denoted as w, and the length as l.
Next, determine the length: the width is 2 feet less than half of the length.
w = l/2 - 2
Alternatively, l/2 can be expressed as w + 2, leading to l = 2(w + 2).
The total perimeter of the fence is 44 feet. The perimeter for a rectangle can be calculated using the formula:
P = 2(l + w)
Inserting what we know:
P = 44 and l = 2(w + 2)
44 = 2(2(w+2) + w)
44 = 2(2w + 4 + w)
44 = 2(3w + 4)
44 = 6w + 8
6w = 36
w = 36/6
w = 6 feet
<span>We have two expressions: n(log(n)) and n3=2. The second expression involves fewer operations. From it, we can derive n = 2/3. For the left-hand side to equal the right-hand side, n cannot go beyond 2/3. No further operations can be applied at that level. Conversely, if we set n = 10, we find 10(log(10)) = 1. As we escalate n to 100, 100(log(100)) equals 200, and for n = 300, 300(log(300)) results in about 743.1. The logarithmic function increases without limit, while for the first operation, once n hits 2/3, it halts. Therefore, the second expression has fewer operations overall.</span>
