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Norma-Jean [14]
2 years ago
13

Eighteen 2.5 gallon buckets are needed to fill a cistern with water. Find the constant of variation. Please help! Thank you!

Mathematics
2 answers:
Allushta [10]2 years ago
6 0

Given:

Eighteen 2.5 gallon buckets are needed to fill a cistern with water.

To find:

The constant of variation.

Solution:

If y is directly proportional to x, then

y\propto x

y=kx

Where, k is constant of variation.

In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

w\propto n

w=2.5n        (Capacity of each bucket is 2.5 gallons)

Therefore, the constant of variation is 2.5.

Masteriza [31]2 years ago
5 0

Answer:

45

Step-by-step

I just did 18 * 2.5!

It a simple answer!

The quantites are inversely so that means you multiply the numbers. Like 18 * 2.5. That's how I got 45

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Matthew has three brothers: Alex, Mark, and Luke. The sum of their three ages is 12. List all the different combinations of ages
arsen [322]

Answer:

Step-by-step explanation:

Let Alex's age = x

Mark's age = y

Luke's age = a

x + y + z = 12

The possible combinations for their age are

1. 6, 3, 3

2. 3, 3, 6

3. 4,4, 4

4, 2, 2, 8

5. 8, 2, 2

6. 2, 8, 2

7. 9, 2, 1

Etc the age can keep going as long as you can find any three numbers and add them to give you 12

3 0
2 years ago
A clothing store is analyzing merchandise prices to help make decisions on what to charge for clothing on clearance. The store o
Aleks [24]

The variable is Quantitative, has Interval level of measurement.

Variables which can be quantified & expressed numerically are Quantitative variables. Eg : as given , price

Variables which cant be qualified & expressed numerically are Qualitative variables. Eg : level of honesty, loyalty etc

Nominal & Ordinal are qualitative variables : signifying yes or no to a category (like men or women) , or ranks (x better than y) respectively. So price level is not such categorical & ordinal ratio.

Quantitative ratio variables are with reference to time , or are in forms of rate (like speed , growth per year). So, price level is not such ratio variable also.

Price is a quantitative variable, in which the ranking, its difference can be calculated. This is characteristic of a <u>Quantitative Interval Variable</u>.

4 0
2 years ago
In college basketball, some teams get most of their points from just one player, and other teams are more balanced in scoring. C
lutik1710 [3]

Answer:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

Step-by-step explanation:

<u>Baylor University</u>

6 players who each score 12 points per game

6 players who each score 0 points per game.

The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12

Mean=\frac{0+0+0+0+0+0+12+12+12+12+12+12}{12} \\Mean=6\\Median=\frac{12+0}{2}=6

<u>University of Maryland</u>

1 player scores 58 points per game,

1 player scores 14 points per game,

The rest(10) of the players score 0 points per game.

The Scores are: 0,0,0,0,0,0,0,0,0,0,14,58

Mean=\frac{0+0+0+0+0+0+0+0+0+0+14+58}{12} \\Mean=6\\Median=\frac{0+0}{2}=0

<u> Dartmouth College</u>

4 players score 5 points per game,

4 players score 6 points per game,

4 players score 7 points per game.

The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7

Mean=\frac{5+5+5+5+6+6+6+6+7+7+7+7}{12} \\Mean=6\\Median=\frac{6+6}{2}=6

The following applies:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

7 0
2 years ago
Mrs. Long keeps 25 books on her shelf for her students to read. Six of the books are non-fiction.
dedylja [7]

Answer:24%

Step-by-step explanation:

6 divided by 25 is .24

4 0
2 years ago
Circle A is shown. Line segments C A and T A are radii. The length of T A is 11. Major angle C A T is 217 degrees. Segment C A T
11111nata11111 [884]

Answer:

121, 143 ,and 151

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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