Quien me puede ayudar es U R G E N T E The GCF of 54, 76 and 114 is: 2 6 4 9 1 The GCF of 35, 50 and 120 is: 2 4 5 25 2 Find the GCF of 12, 16 and 20 1 If the GCF of 56 and 120 is c, find the result of 24\div c24÷c

Responder:

a) 2

b) 5

c) 4

d) 3

Explicación paso a paso:

Debemos encontrar el MCD de los siguientes números

a) 54, 76, 114

encontrar los factores primos de cada

54 = 2 * 3 * 3 * 3

76 = 2 * 2 * 19

114 = 2 * 2 * 2 * 2 * 3 * 3

De los factores anteriores, podemos ver que solo 2 es común a todos los factores, por lo tanto, el MCD de 54, 76 y 114 es 2

b) Para 35, 50 y 120

35 = 5 * 7

50 = 2 * 5 * 5

120 = 2 * 2 * 2 * 3 * 5

De los factores anteriores, podemos ver que solo 5 es común a todos los factores, por lo tanto, el MCD de 35, 50 y 120 es 5

c) Para 12, 16 y 20

12 = 2 * 2 * 3

16 = 2 * 2 * 2 * 2

20 = 2 * 2 * 5

De los factores anteriores, (2 * 2) es común a todos ellos, por lo tanto, el MCD de 12, 16 y 20 es 4

d) Para 56 y 120

56 = 2 * 2 * 2 * 7 = 8 * 7

120 = 2 * 2 * 2 * 3 * 5 = 8 * 3 * 5

De los factores anteriores, podemos ver que solo 8 es común a todos los factores, por lo tanto, el MCD de 56 y 120 es 8.

Por tanto, c = 8

Necesario

24 / c

= 24/8

= 3

Por tanto, el resultado de 24 / c es 3

answer: a

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.