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KIM [24]
2 years ago
9

Babu has 540 cakes. He wants to distribute them equally to some persons. If the number of cakes given to each person is equal to

15% of the number of persons, find the number of cakes given to each person.
Mathematics
1 answer:
Zina [86]2 years ago
4 0

Answer:

9 cakes

Step-by-step explanation:

Let the number of cakes = x

Let the number of persons = y

y = \frac{540}{x}

Since x = (\frac{15}{100})y

\frac{540}{\frac{15}{100}}y = y

y² = \frac{(540\time 100}{15})y = 3600

y = ±√3600

y = 60    [60 persons]

x = \frac{540}{60} = 9

9 cakes given to each person.

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Jenny multiplies the square root of her favorite positive integer by $\sqrt{2}$. Her product is an integer. a) Name three number
Dmitry [639]

Answer:

Part a) 2,50,18

Part b) When Jenny divides the square root of her favorite positive integer by \sqrt{2}, she gets an integer

Step-by-step explanation:

Let

x-------> the favorite positive integer

Part a)

1) For x=2

\sqrt{2}*\sqrt{2}=\sqrt{4}=2 -----> the product is an integer

so

The number x=2 could be Jenny favorite positive integer

2) For x=50

\sqrt{50}*\sqrt{2}=\sqrt{100}=10 -----> the product is an integer

so

The number x=50 could be Jenny favorite positive integer

3) For x=18

\sqrt{18}*\sqrt{2}=\sqrt{36}=6 -----> the product is an integer

so

The number x=18 could be Jenny favorite positive integer

Part B)

1) For x=2

\sqrt{2}/\sqrt{2}=\sqrt{1}=1 -----> the result is an integer

2) For x=50

\sqrt{50}/\sqrt{2}=\sqrt{25}=5 -----> the result is an integer

3) For x=18

\sqrt{18}/\sqrt{2}=\sqrt{9}=3 -----> the result is an integer

Therefore

When Jenny divides the square root of her favorite positive integer by \sqrt{2} , she gets an integer

4 0
2 years ago
After doing some work in the house, Bob and Carol want to put a concrete patio on the side of the house to keep people from trac
Irina-Kira [14]

Answer:

Volume= 2.92cubic yard

Step-by-step explanation:

Converting to ft

23ft9inches= 23+(9/12)=23.75ft

10ft 1 in= 10 +(1/12)= 10.083ft

4 inches= (4/12)=0.333ft

Volume= L×W×H

Volume= 23.75 × 10.083×0.33= 79.02ft^3

Converting to cubic yard

1 cubic foot= 0.037 cubic yard

79.02 cubic feet= 0.037× 79.02= 2.92cubic yard

4 0
2 years ago
A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-
sergiy2304 [10]

Answer:

The <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

Step-by-step explanation:

The confidence interval formula for mean difference for a paired data is as follows:

CI=\bar x_{d}\pm t_{\alpha/2, (n-1)}\times \frac{s_{d}}{\sqrt{n}}

Here,

\bar x_{d} = sample mean of the difference,

s_{d} = sample standard deviation of the difference,

<em>n </em>= sample size (both samples are of same size).

t_{\alpha/2, (n-1)} = critical value of <em>t</em>

(<em>n</em> - 1) = degrees of freedom

The information provided is:

<em>n</em> = 5

Confidence level = 95%

The critical value of <em>t</em> is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (5-1)}

               =t_{0.025, 4}

               =2.776

*Use a <em>t</em>-table for the critical value of <em>t</em>.

Thus, the <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

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2 years ago
On a coordinate plane, a rectangle has points K prime (1, 3), L prime (2, 3), M prime (2, negative 3), N prime (1, negative 3).
Sidana [21]

Answer:

M(3,2) and N(3,1)

Step-by-step explanation

trust me

7 0
2 years ago
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