Labay136524150349idn
Answered

Makahanap ng mga eksaktong solusyon sa iyong mga problema gamit ang IDNStudy.com. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

A Learning Task 3. Solve the given problems. List down the factors, multiples and divisibility rules in your notebook. 1. A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have? 2. A chain of car dealerships got a shipment of 9,240 new cars. There are the same number of cars in every color. How many different colors could there be? 3. Divided by 9, I leave a remainder of 6. Divided by 4, I leave a remain- der of 1. Divided by 10, I leave a remainder of 3. Who am I? 4. I am a multiple of 3, 4, 5, and 6. I am a factor of 120. Divided by 7, I leave a remainder of 4. Who am I?​

Sagot :

Omniscientreaderidn

Answer:

1. Each teacher has 13 children.

2. 64 colors

3. 33

4. 60

Step-by-step explanation:

Solution:

1. Step 1: Divisibility Rules

52 is divisible by:

2 - ✔ 7 - ✖     3 - ✖ 8 - ✖

4 - ✔ 9 - ✖     5 - ✖ 10 - ✖

6 - ✖

Therefore, 52 is divisible by 2 and 4.

Step 2: Multiples

List down the multiples of 2 and 4.

2, 4, 6, 8, 10

4, 8, 12, 16, 20

The LCM of 2 and 4 is 4.

Thus, there are 4 teachers at the center.

Step 3: Divide

number of children ÷ number of teachers =?

52 ÷ 4 = 13

2. 9240  =  2 * 2 * 2 * 3 * 5 * 7  * 11

=> 9240 = 2³ * 3¹ * 5¹ * 7¹ * 11¹

Total possible Factors

= ( 3 + 1)(1 + 1)( 1+ 1)(1 + 1)(1 + 1)

= 4(2)(2)(2)(2)

3. et x - be the number

y - be the quotient

then,

= y +      

9[ = y + ]

x = 9y + 6    (1)

= y +

4[ = y + ]

x = 4y + 1    (2)

=y +

10[ = y + ]  

x = 10y + 3   (3)

Solve for y using equations 1 and 3.

9y + 6 = 10y + 3

9y - 10y = -6 + 3

-y = -3

-1[y = -3]

y = 3

Using y = 3, find x in equation 1.

x = 9y + 6

x = 9(3) + 6

x = 27 + 6

x = 33

Therefore, the number we are looking for is 33.

To check:

33 ÷ 9 = 3 remainder 6

33 ÷ 4 = 8 remainder 1

33 ÷ 10 = 3 remainder 3

Pinahahalagahan namin ang bawat tanong at sagot na iyong ibinabahagi. Huwag kalimutang bumalik at magtanong ng mga bagong bagay. Ang iyong kaalaman ay mahalaga sa ating komunidad. Bawat tanong ay may sagot sa IDNStudy.com. Salamat sa pagpili sa amin at sa muling pagkikita.