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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 ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What
Darina [25.2K]
X = older brother
y = younger brother 

Equation 1: x/y = 2/3 ⇒ x = 2y/3
Equation 2: x + 8/y + 8 = 3/4

( \frac{2y}{3} + 8) / y +8 =  \frac{3}{4}
(2y + 24)/3 = y + 8 =  \frac{3}{4}
2y + 24 = 3 (y + 8) =  \frac{3}{4}
2y + 24 = 3y + 24 =  \frac{3}{4}
4 (2y + 24) = 3 (3y + 24)
8y + 96 = 9y + 72
y = 24

The age of the older brother is 24.

x =  \frac{2y}{3} = \frac{2*24}{3}
x =  \frac{48}{3}
x = 16

The age of the youngest brother is 16.
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3 years ago
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What does S in Math means?
12345 [234]

Step-by-step explanation:

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7 0
2 years ago
List the ordered pairs
Luden [163]

Step-by-step explanation:

C. in descending order by weight<br /><br />

4 0
2 years ago
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he nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the
MrRissso [65]

Answer:

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7079

The margin of error is:

M = T*s = 2.7079*234.12 = 633.97

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1088.64 - 633.97 = 454.67 milligrams

The upper end of the interval is the sample mean added to M. So it is 1088.64 + 633.97 = 1722.61 milligrams

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

8 0
3 years ago
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Alchen [17]

Answer:

20%

Step-by-step explanation:

6x5=30

20x5=100

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2 years ago
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