It would be 60% of the original price, of discount amount in 40%
Then, 40*60 / 100 = 2400/100 = 24
So, he bought the item @ $24
10.5 small boxes equals the same amount of cereal in a large box
<h3>
How to determine the value</h3>
From the information given, let:
n is the number of smaller boxes
We know that:
Then,
12 + 7.6n = 6 + 8n
collect like terms
8n - 7. 6n = 12 - 6
0. 4n = 6
n = 6/ 0. 4
n = 15
The amount of cereal in a large box is;
6 + 8n = 6 + 8 (15) = 126 ounces
The amount of cereal in the smaller box is 12 ounces
Divide the volume of the larger box by the volume of the smaller box;
= 126/ 12
= 10. 5 smaller boxes
Hence, 10.5 small boxes equals the same amount of cereal in a large box
The complete question:
A cereal box manufacturer changes the sizeof the box to increase the amount of cereal it contains. The equations 12 + 7.6n and 6 + 8n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger box?
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She must mix 1.5 cups of pineapple juice into the pitcher.
Since Cindy is making a fruit juice drink, and the recipe calls for 5 parts apple juice and 3 parts pineapple juice, and Cindy puts 2 1/2 cups of apple juice into a pitcher, and Cindy wants the juice drink in her pitcher to taste the same as the drink in the recipe, to determine how much pineapple juice does she need to mix into the pitcher, the following calculation must be performed, proposing a cross multiplication:
- 5 = 2 1/2
- 3 = X
- 5 = 2.5
- 3 = X
- 3 x 2.5 / 5 = X
- 7.5 / 5 = X
- 1.5 = X
Therefore, she must mix 1.5 cups of pineapple juice into the pitcher.
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<u>Answer: </u>
Option(D) -each roll of the die has two equally likely outcomes
<u>Explanation: </u>
In probability theory, the binomial statistical distribution refers to a distinct distribution of no. of desired effects in sequential autonomous experiments, where each experiment ask a question for ‘yes’/’no’, and each with its own probable boolean-assessed outcome.
A binomial experiment must satisfy the following 4 conditions: (a) Number of trials should be fixed; (b) Every trial should be independent of another; (c) Only two outcomes are there; (d) the chance of each result from trial to trail remains