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3 years ago

express each of the following as product of its prime factors, giving your answer in expanded form. a) 24. b) 63. c) 84. d) 150

1 answer:

3 0

To answer this question, you can use a factor tree, or the table thing (I forgot what it’s called.)
You divide the number by one of its PRIME factors, until there is only one left. The numbers you divided it by are written as shown.
Hope this helps. :)

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Consider the sequence of steps to solve the equation:

pav-90 [236]

Answer:

Division Property of Equality

Step-by-step explanation:

→In Step 4, it is shown that the equation is:

3x = 30

→However, to solve for x, you must get it by itself. This means you need to get rid of the 3 that's being multiplied. So since the 3 is being multiplied to x, you must do the opposite of multiplication, which is division.

→As you can see, the total of 30 is decreased in Step 5, since it has been divided by 3, giving you a total of 10.

This shows that the property of equality that yields Step 5 is the Division Property of Equality.

4 0

2 years ago

A Chef buys 9 cucumbers, 18 peppers and 21 tomatos at the farmers market. Cucumbers ae 6 for $2, pEPPERS ARE 12 for $9 and tomat

Musya8 [376]

In this question, you are given 3 separate vegetables without single price. If you want to solve it step by step, it will be easier to count each vegetable price before hand. The price would be:
Cucumber: 2$/6 pieces= $0.33 /piece
Pepper: $9/12 pieces= $0.75/piece
Tomatoes: 4$/6 pieces= $0.66/piece

Then the total cost for the chef shopping item would be: 9 * $0.33 + 18 * $0.75 + 21* $0.66= $3 + $13.5+ $14= $30.5

6 0

3 years ago

In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile.

elixir [45]

Answer:

Mean = 3.12, Variance = 3.324, Standard deviation = 1.8232

Step-by-step explanation:

Total number of students = 10 students.

Given data, 1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8

To find the mean, at first we have to take the sum of all given data and then divide with the number of students.

Let the data is X, = 1.1, + 5.2, + 3.6, + 5.0, + 4.8, + 1.8, + 2.2, + 5.2, + 1.5, + 0.8 = 31.2

Mean = 31.2 / 10 = 3.12

$\text{Standard deviation, S} = \sqrt{\frac{\sum x^{2} - \left [ (\sum x)^{2}/n \right ]}{n-1}} \\S = 1.8232 \\\rm The \ Variance = S^{2} = 3.324$

5 0

2 years ago

If no (A) = 40%, no (B) = 30%, n (A∩B) = 20% then find n ( (A B) using formula.

Vesnalui [34]

Answer:

solution:-We know that for any two finite sets A and B, n(A∪B)=n(A)+n(B)−n(A∩B).

Here, it is given that n(A)=20,n(B)=30 and n(A∪B)=40, therefore,

n(A∪B)=n(A)+n(B)−n(A∩B)

⇒40=20+30−n(A∩B)

⇒40=50−n(A∩B)

⇒n(A∩B)=50−40

⇒n(A∩B)=10

Hence, n(A∩B)=10

Step-by-step explanation:

hope it helps you friend ☺️

8 0

2 years ago

Read 2 more answers

Translate the difference of five squared and n into symbols.

stira [4]

Answer:

5² - n

Step-by-step explanation:

Five squared = 5²

n = n Subtract n from 5²

Diff. = 5² - n

We indicate "taking the difference" by a "minus" sign, so all the other options are wrong.

6 0

3 years ago

Read 2 more answers

express each of the following as product of its prime factors, giving your answer in expanded form. a) 24. b) 63. c) 84. d) 150​

express each of the following as product of its prime factors, giving your answer in expanded form. a) 24. b) 63. c) 84. d) 150