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maksim [4K]
3 years ago
11

there are 60 tables in a restaurant, with 25% of them seating 2 people. The tables remaining seat 4 people. How many seats are t

here in the restaurant?
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
4 0
Do 60*0.25 and that's 15. 15 tables seat 2 people. we can also confirm this by doing 15*4 which is 60 (the total amount of tables) since 25%*4=100. then we know the rest of them fit 4 and 60-15=45. Now we do (15*2) + (45*4). {one for the 2 seated tables and the other for the 4 seated ones.} 30+180=210 seats.
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Fareed wants to add 1/4 +5/8 Add the fractions by using the giant one to create a common denominator
saul85 [17]

Hi!

This question is about math.

\frac{1}{4}+\frac{5}{8}

<u><em>Least Common Factor 4 or 8: 8</em></u>

<u><em>Factors of 4 : 1, 2, 4 (prime factorization) (2*2)</em></u>

<u><em>Factors of 8: 1, 2, 4, 8 (prime factorization) (2*2*2)</em></u>

<u><em>Least Common Factor of a,b is the smallest positive number that divisible by both a and b.</em></u>

<em>Multiply each factor the greatest number of times it occurs in either 4 or 8.</em>

<em>Then multiply by the numbers.</em>

2*2*2

=8

<em>Multiply each numerator by the same amount needed to multiply its corresponding denominator to turn it into the Least Common Factor of 8.</em>

<em>For 1/4 multiply the denominator and numerator by the 2.</em>

\frac{1}{4}=\frac{1*2}{4*2}=\frac{2}{8}

\frac{2}{8}+\frac{5}{8}

<em>Since the denominator are equal, combine the fractions.</em>

\frac{2+5}{8}

<em>Add the numbers 2+5=7</em>

=\frac{7}{8}

Hope this helps! Thank you for posting your question at here on Brainly. Have a great day.

-Charlie

6 0
3 years ago
If two sweaters and four shirts cost $150, and four sweaters and three shirts cost $200, find the price of each shirt and each s
STALIN [3.7K]

Answer:

shirt = $20

sweater = $35

Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

4a + 8b = 300    equation 3

Subtract equation 2 from 3

5b = 100

divide both sides of the equation by 5

b = 20

substitute for b in equation 1

2a + 4(20) = 150

2a + 80 = 150

collect like terms

2a = 150 - 80

2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on
Zielflug [23.3K]

Answer:

The 90% confidence interval using Student's t-distribution is (9.22, 11.61).

Step-by-step explanation:

Since we know the sample is not big enough to use a z-distribution, we use student's t-distribution instead.

The formula to calculate the confidence interval is given by:

\bar{x}\pm t_{n-1} \times s/\sqrt{n}

Where:

\bar{x} is the sample's mean,

t_{n-1} is t-score with n-1 degrees of freedom,

s is the standard error,

n is the sample's size.

This part of the equation is called margin of error:

s/\sqrt{n}

We know that:

n=28

\bar{x}=10.41

degrees of freedom = 27

1-\alpha = 0.90 \Rightarrow \alpha = 0.10

t_{n-1} = 1.703

s = 3.71

Replacing in the formula with the corresponding values we obtain the confidence interval:

\bar{x}\pm t_{n-1} \times s/\sqrt{n} = 10.41 \pm 1.70 \times 3.71/\sqrt{28} = (9.22, 11.61)

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3 years ago
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