To find the greatest number of children that will receive a set of items on opening day, we can find the greatest common divisor of the quantities of ball caps, keychains, and bracelets.
Explanation:To find the greatest number of children that will receive a set of items, we need to determine the number of identical sets that can be made from the available items. We can do this by finding the greatest common divisor (GCD) of the quantities of ball caps, keychains, and bracelets.
The GCD of 120, 180, and 240 is 60. This means that 60 sets of items can be made, with each set consisting of 2 ball caps, 3 miniature baseball keychains, and 4 glow-in-the-dark bracelets.
Therefore, the greatest number of children that will receive a set of items on opening day is 60.
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Tony ran laps around a track to raise money for a hospital. Tony raised $15 plus $1.50 per lap that he ran. He raised a total of $255. Let x represent the number of laps Tony ran. What expression completes the equation to determine the total number of laps Tony ran? How many laps did Tony run? Enter your answers in the boxes.
Answer:
1.50/255 160 LAPS
Step-by-step explanation:
What is 35 written as a percent?
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PLEASE HELP AND SHOW WORK!!
8x + 14y =
4 | : 2
-6x - 7y = -10
4x + 7y = 2
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4x - 6x = 2
- 10
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2x = 8
x = 4
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8x
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| -3.9 | + | 3.9 |
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Jackie had $135 to spend at the mall. She spent 29% of that money on a dress. Jackie spent $___ on the dress.
So here is a better explanation
?/135 = 29%/100
100? = 135 x 29 = 3915
100?/100 = 3915/100 = 39.15
Jackie spent 39.15$
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(2x) (4x^2 + 3)
A. 8x^2 + 3
B. 8x^3 + 6x
C. 8x^2 + 6x
D. 8x^3 + 3
Solve for x:
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How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters is not allowed?
There are 60 different three-letter "words" that can be made from the letters F, G, H, I, and J without repetition of letters. This can be calculated as a permutation of 5 choices for the first letter multiplied by 4 for the second and 3 for the third, resulting in 5 x 4 x 3 = 60 possible arrangements.
The question asks how many different three-letter "words" can be made from the five distinct letters F, G, H, I, and J, given that repetition of letters is not allowed. This is a problem of calculating permutations, where a permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement. For each letter position in a three-letter word, we choose a different letter from the five available, without repeating.
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