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Tcecarenko [31]
3 years ago
8

aron lei is making identical balloon arrangements for a party. He has 32 maroon balloons and 24 white balloons, he wants each ar

rangements to have the same number of each color. what is tha greatest number of arrangements that he can make if every balloon is used?​
Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

The greatest number of arrangements that he can make if every balloon is used is 8.

Step-by-step explanation:

The greatest number of arrangements will be the greatest common factor between 24 and 32.

GCF of 24 and 32:

We keep factoring both numbers by prime factors, while they can both be divided by the same number. So

24 - 32|2

12 - 16|2

6 - 8|2

3 - 4

There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.

This means that the greatest number of arrangements that he can make if every balloon is used is 8.

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The perimeter of a rectangle is 120 inches. The length is 10 more than the width. Find the length and width
OLga [1]

The formula of a perimeter of a rectangle:

P=2(l+w)

We have:

P=120\ in\\\\l=w+10

Substitute

2(w+10+w)=120\\\\2(2w+10)=120\ \ \ \ |:2\\\\2w+10=60\ \ \ \ |-10\\\\2w=50\ \ \ \ |:2\\\\w=25\\\\l=25+10=35

<h3>Answer: Length = 35 in, Width = 25 in.</h3>
4 0
3 years ago
How many different arrangements of 7 letters can be formed if the first letter must be w or k? (repeats of letters are? allowed)
mojhsa [17]
<h2>Answer:</h2>

The total number of different arrangements of 7 letters that are possible if the first letter will be w or k is:

                        617,831,552

<h2>Step-by-step explanation:</h2>

The number of different arrangements of 7 letters can be formed if the first letter must be w or k such that the repetition of the letters are allowed are:

   2×26×26×26×26×26×26

( Since, at the first place any of the 2 letter out of w or k could come up.

and from the second to seventh place any of the 26 letters of the English alphabet may come up )

Hence, total number of arrangements = 617,831,552

6 0
3 years ago
If Jamie is riding at 14 mph and cori is riding at 0.04km per minute, how far will each of yjem bike in two hours? 1 mile = 1.61
Gelneren [198K]

Answer:

Jamie will have covered a distance of 45.08 km while Cori will be 4.8 km away

Step-by-step explanation:

Here, we want to know how far will each of both riders be in 2 hours time.

Jamie is riding 14 mph

This means the number of miles covered in two hours will be 14 mph * 2 = 28 miles

For comparison purposes, let’s convert this to kilometer.

Since 1 mile = 1.61 km, then 28 miles will be 28 * 1.61 km = 45.08 km

For Cori, he is riding at 0.04 km per minute

1 hour = 60 minutes

so 2 hours = 2 * 60 = 120 minutes

Since the speed is 0.04 km in a minute

Then the distance in 120 minutes will be 0.04 * 120 = 4.8 km

8 0
4 years ago
Read 2 more answers
If ava makes $15 in 2 hours, what is her rate of pay?
zalisa [80]

Answer:

$7.50 per hour

Step-by-step explanation:

15/2=7.5

7 0
3 years ago
Read 2 more answers
PLS HELP MEEE !!!!!
kotykmax [81]

Answer:

5 terms

Step-by-step explanation:

x is one term

-3 is one term

2y is one term

-16 is one term

4x is one term

5 terms in total

7 0
3 years ago
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