The number of baskets that were sold for $2 is 299 baskets.
<h3>What is a word problem?</h3>
A word problem is a method we used in denoting mathematical expressions and variables and it can be solved with the use of fractions, ratios, algebra, and arithmetic operations as the case may be.
From the given information:
- If 184 baskets is sold for = $3.25;
- and (x) baskets is sold for = $2
The number of baskets sold in the second week is obtained as follows
i.e.
x = (184 × 3.25)/2
x = 299 basket were sold for $2
Learn more about solving word problems here:
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Answer: $35.99
Step-by-step explanation: Subtract 20% <em>of </em>$44.99 <em>from </em>$44.99, and you have your answer! I hope this helps!
one expression using a variable for the unknown is... x = (3)(6/4)
Answer: 48
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Explanation:
The keyword "of" means multiply
150% converts to the decimal form 1.5; you move the decimal point two spots to the left to go from percent form to decimal form
Putting those two facts together lead to...
150% of 32 = 1.5*32 = 48
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Another approach:
x% = x/100
150% = 150/100 = 1.5
150% of 32 = 1.5*32 = 48
The last step is identical as before, but the conversion of 150% is slightly different this time.
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Yet another approach:
100% of anything is itself
So 100% of 32 is 32
The extra 50% means we take half of 32 to get 16. Then we add that onto the 32 to get 16+32 = 48
Let the first number of the five we are looking for equal n.
Because the numbers are consecutive, the next four can be expressed as (n+1), (n+2), (n+3) and (n+4).
Our series of 5 numbers is therefore n,(n+1),(n+2),(n+3),(n+4).
We are told the sum of the squares of the first 3 is equal to the sum of the squares of the last 2 therefore:
n² + (n+1)² + (n+2)² = (n+3)² + (n+4)²
expand all the brackets to give
n² + n² + 2n + 1 + n² + 4n + 4 = n² + 6n + 9 + n² + 8n + 16
3n²+6n+5 = 2n²+14n+25
n²-8n-20=0
factorising this gives us
(n+2)(n-10) = 0 so the solutions are n=10 and n=-2
That means that n,(n+1),(n+2),(n+3),(n+4) could be [-2, -1, 0, 1 and 2] or [10, 11, 12, 13 and 14].
Since the question asks for whole numbers, and negative numbers are not classed as whole numbers, the numbers we want must be 10, 11, 12, 13 and 14.
You can check this on a calculator by doing 10² + 11² + 12² (=365) and 13² + 14² (=365).