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Sholpan [36]
3 years ago
11

The set M represents multiples of 4 from 6 to 38. M=8,12,16,20,24,28,32,36 The set N represents even numbers from 4 to 13. N=4,6

,8,10,12 How many elements are in the set M⋂N ? Select one: A. 1 B. 2 C. 3 D. 4
Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Answer:

The correct option is B. 2

So there are two elements that is 8, 12 in the set M⋂N .

Step-by-step explanation:

Given:

M is a set of multiples of 4 from 6 to 38

i.e M = { 8, 12, 16, 20, 24, 28, 32,36 }

N is a set of even numbers from 4 to 13

i.e N = { 4, 6, 8, 10, 12 }

To Find:

M⋂N  = ?

Solution:

Set:

A set is a well-defined collection of distinct objects, considered as an object in its own right.

Examples :

M is a set of multiples of 4 from 6 to 38

i.e M = { 8, 12, 16, 20, 24, 28, 32,36 }

N is a set of even numbers from 4 to 13

i.e N = { 4, 6, 8, 10, 12 }

M⋂N  = set of those numbers which are present in M as well as in N

∴ M⋂N = { 8, 12 }

So there are two elements that is 8, 12 in the set M⋂N .

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Rudik [331]
A = 11300 cm<span>2
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3 0
2 years ago
Nathaniel is making muffins. Each batch uses 2 cups of flour. He plans to use less than 40 cups of flour for muffins so that he
MAXImum [283]

The number of batches Nathaniel can make is 16.5 batches.

Nathaniel plans to make use of less than 40 cups of flour and he has already used 6 cups of flour. In order to determine how many batches he can make, we have to determine the number of cups of flour he can use. The cups of flour would be divided by the amount of flour that can be used to make a batch of muffins.

Maximum amount of flour Nathaniel can use = 39 - 6 = 33

Number of batches he can make = 33 / 2 = 16.5 batches

To learn more about division, please check: brainly.com/question/194007

8 0
2 years ago
Select the correct answer from the drop-down menu.
lidiya [134]

Answer:

6y² - 20y + 6

Step-by-step explanation:

Use FOIL method

(3y - 1)(y-3) = 3y*y + 3y*(-3) + (-1)*y + (-1)*(-3)

                 = 3y²- 9y - y + 3    {add the like terms}

                = 3y² - 10y + 3

2(3y - 1)(y - 3) = 2 ( 3y² - 10y + 3)

                      = 2*3y² - 2*10y + 2*3

                      = 6y² - 20y + 6

6 0
2 years ago
Pqr is similar to xyz what is the perimeter of xyz? A.21cm B.63cm C. 105cm D.126cm
skelet666 [1.2K]

Answer:

option D. 126 cm

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles PQR and XYZ are similar by AA Similarity Theorem

so

\frac{XY}{PQ}=\frac{YZ}{QR}=\frac{XZ}{PR}

Let

z ---> the scale factor

z=\frac{XY}{PQ}

substitute the given values

z=\frac{30}{5}=6

step 2

Find the perimeter of triangle XYZ

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

p_1 ----> the perimeter of triangle XYZ

p_2 ---> the perimeter of triangle PQR

so

z=\frac{p_1}{p_2}

The perimeter of triangle PQR is

p_2=5+10+6=21\ cm

we have

z=6\\p_2=21\ cm

substitute

6=\frac{p_1}{21}

p_1=6(21)=126\ cm

therefore

The perimeter of triangle XYZ is 126 cm

5 0
3 years ago
Look at this graph:
Alina [70]

Answer: 1/3

Step-by-step explanation:

  • Two points on this graph are (40, 80) and (70, 90). These points can be used to find the slope.
  • The formula for slope is (y2-y1)/(x2-x1).
  • Plugging our numbers into the formula:
  • (80-90)/(40-70) = (-10)/(-30) = 1/3

7 0
3 years ago
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