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4 years ago

Find the lcm of 7,18,21

Mathematics

1 answer:

Sholpan [36]4 years ago

6 0

Answer:

LCM (7, 18 and 21) = 126

Step-by-step explanation:

Step 1: Address input parameters & values

Intergers: 7 18 21

LCM (7, 18, 21) = ?

Step 2: Arrange the group of numbers in the horizontal form with space or comma separated format

7, 18 and 21

Step 3: Choose the divisor which divides each or most of the integers of in the group (7, 18 and 21), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if the integer is not divisible by the divisor. Repeat the same process until all the integers are brought to 1.

Step 4: Multiply the divisors to find the LCM 7, 18 and 21

7 × 3 × 6 = 21

LCM(7, 18, 21) = 126

The least common multiple for three numbers 7, 18, and 21 is 126

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Bags of almonds cost three dollars more than bags of pecans the owner of a bakery ordered five bags of almonds and three bags of

antiseptic1488 [7]

Answer:

Let bags of pecans cost = x

Make an equation :

Bags of almonds cost = x + 3 (they said almonds cost 3 dollars more)

Total number of bags ordered: (3 bags pecans) + (5 bags of almonds)

Cost for pecans = 3x

Cost for almonds = 5(x + 3) = 5x + 15

Price of pecans + price of almonds = total cost

Solve for x:

3x + 5(x + 3) = 55 (remove brackets)

3x + 5x + 15 = 55 (add like terms)

8x + 15 = 55

8x + 15 - 15 = 55 - 15 (get rid of the 15)

8x = 40

8x/8 = 40/8

x = 5

bags pecans cost is $5

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3 years ago

Malcolm and Theo's families are both traveling to the same vacation resort.

snow_tiger [21]

Answer:

Malcom's family travel 15 miles per hour faster than Theo's

Step-by-step explanation:

<em>See attachment for complete question</em>

Given

Malcom's Family:

$d = 65t$

To determine the equation of Theo's family, we refer to the attached graph.

From the graph:

$t = 1; d = 50$

$t = 2; d = 100$

First, we determine the slope, m:

$m = \frac{d_2 - d_1}{t_2 - t_1}$

$m = \frac{100 - 50}{2- 1}$

$m = \frac{50}{1}$

$m = 50$

Next, we determine equation for Theo's family using:

$d - d_1 = m(t - t_1)$

$d - 50 =50(t - 1)$

$d - 50 =50t - 50$

Add 50 to both sides

$d - 50 +50=50t - 50 + 50$

$d =50t$

So, we have the following:

$d = 65t$ --- For Malcom's family

This implies that Malcom's family travel at 65 miles per hour

$d =50t$ --- For Theo's family

This implies that Theo's family travel at 50 miles per hour

The difference between this rates is:

$Rate = 65t - 50t$

$Rate = 15t$

<em>Which implies that Malcom's family travel 15 miles per hour faster than Theo's</em>

5 0

3 years ago

7m-17=60 solve one and two step equation

lord [1]

Answer:

Step-by-step explanation:

Hope it helps you :)

5 0

3 years ago

Read 2 more answers

In a certain room. There are 28 women and 21 men. What is the proportion of women in relation to the total number of people?

Deffense [45]

Answer:

The total number of people in the room is: 28 + 21 = 49 (people)

The percentage of women in the room will be: (28 . 100)/49 ≈ 57%

So the proportion of women in relation to the total number of people is:

57/100 = 28/49

*I could be wrong

3 0

4 years ago

A two-factor research study has 2 levels of factor A and 3 levels of factor B with a separate sample of n = 5 subjects in each t

amid [387]

Answer:

option (b) df = 1, 24

Step-by-step explanation:

Data provided in the question:

levels of factor A, a = 2

levels of factor B, b = 3

Subjects in each Sample, s = 5

n = 5 × 3 × 2 = 30

Now

df for Factor A = a - 1

= 2 - 1

= 1

df for Factor B = b - 1

= 3 - 1

= 2

df for Interaction AB = ( a - 1 ) × ( b - 1 )

= 1 × 2

= 2

df for Total = n - 1

= 30 - 1

= 29

df for error = 29 - 5

= 24

Hence,

df values for the F-ratio evaluating the main effect of factor A is 1, 24

The correct answer is option (b) df = 1, 24

6 0

4 years ago