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3 years ago

Find the least common denominator (LCD) of 1/20 and 11/30

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

To find the LCD, all you have to do is find the least common multiple (LCM) of the two denominators.

The fractions are already reduced, so you have to find the LCM of 20 and 30. The LCM of 20 and 30 is 60.

To find the LCM:

20 and 30 are easy numbers, so you can just list the multiples out.

20: 20, 40, 60, etc.

30: 30, 60

The lists both have 60, so the LCM is 60.

Another way is to prime factorize the two numbers.

20: 2^2*5

30: 2*3*5

Then, take the non-repeating factor from the second number (3) and multiply that by 30, which is 60.

Mrrafil [7]3 years ago

3 0

Answer:

Step-by-step explanation:

LCD(1 /20 , 11 /30) = LCM(20, 30) = 22×3×5 = 60

1 /20 = 3 /60

11 /30 = 22 /60

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The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi

rewona [7]

Answer:

a. 8.66 minutes

Step-by-step explanation:

Since the flight times are uniformly distributed, the standard deviation can be calculated as follows:

$\sigma = \frac{b-a}{\sqrt{12}}$

Where 'b' is the maximum flight time (150 minutes) and 'a' is the minimum flight time (120 minutes):

$\sigma = \frac{150-120}{\sqrt{12}}\\\sigma = 8.66\ minutes$

The distribution's standard deviation is 8.66 minutes.

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3 years ago

The temperature at noon was -30C.By 10.P.M. on the same day the temperature decreased by 5.50. What is the temperature at 10 P.M

Nata [24]

Answer:

Step-by-step explanation:

6 0

2 years ago

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Solve each system by elimination.

strojnjashka [21]

Answer:

y = -1, x = -2

Step-by-step explanation:

First, multiply the top equation by 2 to make 3x become 6x:

6x - 8y = -4

Second, multiply the bottom equation by 3 to make -2x become -6x:

9y - 6x = 3

Add the two equations together, and you get:

y = -1

Plug in y as -1 into the first or second equation:

3x - 4(-1) = -2

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3 years ago

Based on the results from part C, which two statements correctly interpret actions the business should take? If material 2 is us

Serjik [45]

The profit function is the difference between the cost and the revenue functions.

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

<h3>How to determine the true profit functions</h3>

From the complete questions, the profit functions are calculated as follows:

Material 1

$P(x) = 5000000- 20000x - 200000x + 2000x^2$

$P(x) = 5000000-220000x + 2000x^2$

Material 2

$P(x) = 4000000 - 10000x - 160000x+ 1000x^2$

$P(x) = 4000000-170000x+ 1000x^2$

Material 3

$P(x) = 2000000 - 5000x - 54000x - 270x^2$

$P(x) = 2000000 -59000x - 270x^2$

Next, we test the options

Option 1: When material 2 is used

A price is greater than $150 is $151.

Calculate P(151) using $P(x) = 4000000-170000x+ 1000x^2$

So, we have:

$P(151) = 4000000-170000 * 151+ 1000* 151^2$

$P(151) = 1131000$

P(151) is greater than 0; this represents a profit

Hence, option (1) is true

Option 2: When material 1 is used

A price is less than $50 is $49.

Calculate P(49) using $P(x) = 5000000-220000x + 2000x^2$

So, we have:

$P(49) = 5000000-220000 * 49 + 2000* 49^2$

$P(49) =-978000$

P(49) is less than 0; this represents loss

Hence, option (2) is false

Option 3: When material 3 is used

Calculate P(45) and P(160) using $P(x) = 2000000 -59000x - 270x^2$

So, we have:

$P(45) = 2000000 -59000 * 45 - 270 * 45^2$

$P(45) = -1201750$

P(45) is less than 0; this represents loss

Hence, option (3) is false

Option 1: When material 2 is used

Calculate P(30) and P(120) using $P(x) = 4000000-170000x+ 1000x^2$

So, we have:

$P(30) = 4000000-170000*30+ 1000*30^2$

$P(30) = -200000$

P(30) is less than 0; this represents a loss

Hence, option (4) is false

Option 2: When material 1 is used

Calculate P(40) and P(70) using $P(x) = 5000000-220000x + 2000x^2$

So, we have:

$P(40) = 5000000-220000*40 + 2000*40^2$

$P(40) = -600000$

P(49) is less than 0; this represents loss

Hence, option (5) is false

The above means that:

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

Read more about revenue functions at:

brainly.com/question/25638609

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2 years ago

Help me with this math

stellarik [79]

Answer:

(x+2)(x+5) or if you were looking for the x-intercepts they would be -5, and -2

7 0

3 years ago

Read 2 more answers