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bazaltina [42]
3 years ago
6

Greg is volunteering at a track meet. He is in charge of providing the bottled water. Greg knows these facts:

Mathematics
2 answers:
White raven [17]3 years ago
6 0

Answer: 21 cases (approx)

Step-by-step explanation:

Here, The total number of athletes = 117,

The total number of coaches = 7

And, The total number of judges = 4

Also,  The water bottles consumed by, One athletes = 4

One Coach = 3

One judge = 2

Thus, the total bottles consumed by all = bottles consumed by 117 athletes + bottles consumed by 7 coaches + bottles consumed by 4 judges.

= 117 × 4 + 7 × 3 + 4 × 2

= 468 + 21 + 8

= 497

Thus, the total number of bottles = 497.

Since, One case of bottled water contains 24 bottles.

Therefore total number of cases = 497/24 = 20.7083333333 ≈ 21

⇒ The fewest number of cases = 21 (approx)

GuDViN [60]3 years ago
5 0

Answer: There are 819 fewer number of cases of water bottle that all athlete, all coaches and all judges will get.

Step-by-step explanation:

Since we have given that

Number of days the meeting is going on = 3 days

Number of athletes = 117

Number of coaches = 7

Number of judges = 4

Number of bottles given to each athlete each day = 4

Total number of bottles total athlete for 3 days will get is given by

117\times 4\times 3\\\\=1404

Number of bottles given to each coach each day = 3

Total number of bottles total coach for 3 days will get is given by

7\times 3\times 3\\\\=63

Number of bottles given to each judge each day = 2

Total number of bottles total judge for 3 days will get is given by

4\times 3\times 2\\\\=24

Number of cases of water bottle is given to athletes is given by

\frac{1404}{24}

Number of cases of water bottle is given to coaches is given by

\frac{63}{24}

Number of cases of water bottle is given to judges is given by

\frac{24}{24}

We need to find the fewer number of cases that all athlete , all coaches and all judges will get

\text{L.C.M. of }\frac{1404}{24},\frac{63}{24},\frac{24}{24}\\\\=\frac{L.C.M.\ of\ 1404,63,24}{H.C.F.\ of\ 24,24,24}\\\\=\frac{19656}{24}\\\\=819

Hence, there are 819 fewer number of cases of water bottle that all athlete, all coaches and all judges will get.

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When a number is decreased by 16% of itself the result is 159.6. What is the number?
Rufina [12.5K]

Hey there! I'm happy to help!

Let's call this number n. Here is the info we can write about it. Remember that to write as a percent as a decimal you divide by 100.

n-0.16n=159.6

We combine like terms.

0.84n=159.6

We divide both sides by 0.84

n=190

Have a wonderful day! :D

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3 years ago
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Austin has two Marvel posters he wants to hang on the wall in his bedroom. The wall is 16.5 feet wide and each poster is 5 3/4 f
vekshin1

The expression for the distance is w=5/3 ft

Step-by-step explanation:

The wall has a width of 16.5 feet

A single poster has a width of 5 3/4 ft which is equal to 23/4 ft or 5.75 ft

For the two posters, the width occupied is ; 23/4 * 2 = 23/2 = 11.5 ft

Remaining width that will be unoccupied by the posters will be 16.5-11.5=5

A sketch of the wall with the two posters such that the edge of the wall is the same as the distance between the posters will show three un-covered spaces, from edge of wall to the first poster, then between the two posters, and lastly from the second poster to the other edge of the wall.

The un-covered 3 portions have an equal width, lets assume that they have a width of w ft

This means 3w will represent the uncovered width which equals to the unoccupied space of 5 ft

Form equation for the uncovered width as;

3w=5ft

w=5/3 ft ---------the distance from the edge of each poster to the nearest edge of wall.

Learn More

Perimeter of a wall : brainly.com/question/12692838

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6 0
3 years ago
The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm
klemol [59]

Answer:

x^2-10x+18=0

<em>a</em> = -10 and <em>b</em> = 18.

Step-by-step explanation:

Let <em>w</em> represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

20=2(x + w)

Let's put <em>w</em> in terms of <em>x</em>. Divide both sides by two:

10=x+w

And solve for <em>w:</em>

<em />w=10-x<em />

So, the rectangle measures <em>x</em> by (10 -<em> x</em>) cm.

<em />

According to the Pythagorean Theorem:

a^2+b^2=c^2

<em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.

Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>

<em />x^2+w^2=8^2<em />

Simplify and substitute:

x^2+(10-x)^2=64

Square:

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Isolate the equation. So:

2x^2-20x+36=0

Since the leading coefficient is one, divide both sides by two:

x^2-10x+18=0

Therefore, <em>a</em> = -10 and <em>b</em> = 18.

6 0
3 years ago
Please walk me through this​
FinnZ [79.3K]

Answer:

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3 years ago
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