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3 years ago

Trina's teacher asked her to explain the division problem 48 ÷ 12. Which choice gives the correct explanation?

Mathematics

2 answers:

miskamm [114]3 years ago

6 0

B.) 48 has to be broken up into 12 to get 4

Anna007 [38]3 years ago

3 0

Answer: B) Break 48 into 12 groups of 4.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given.

48÷12

This expression means dividing the number 48 by 12, or in other words, break 48 into 12 groups of 4.

So, if we solve :

48÷12= 4

In conclusion, the correct option is B)Break 48 into 12 groups of 4.

Feel free to ask for more if it´s necessary or if you did not understand something.

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Find the number of permutations of the first 9 letters of the alphabet, taking 4 letters at a time.

Vinil7 [7]

Solution-

First 9 letters of alphabet are- A,B,C,D,E,F,G,H,I

Total number of ways of selection of 4 letters from 9 alphabets = 9C4

=9!÷((4!).(9-4)!) = 9!÷(4!×5!) = (9×8×7×6)÷(24) = 126

The number of ways of arranging these 4 numbers = 4! = 24

∴ Total number of possible permutations = 9C4×4! = 126×24 = 3024

∴ option number 2 is correct.

8 0

3 years ago

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find the smaller of 2 consecutive integers,x, if the sum of the smaller and 6 times the larger is -29

AnnyKZ [126]

Answer:- The smaller integer is -5.

Explanation:-

Let the first consecutive integer be x and the second consecutive integer be x+1.

According to the given question:-

x+6(x+1)= -29

⇒x+6x+6= -29 [distributive law]

⇒x+6x= -29-6 [subtract 6 on the both sides]

⇒7x= -35 [combining like terms ]

⇒x= -5 [dividing 7 on both sides]

Thus the smaller integer =x= -5

larger integer =x+1= -5+1= -4

3 0

3 years ago

The sum of three consecutive even numbers is 114. what is the smallest of the three numbers?

saul85 [17]

Answer:

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n <em>must</em> be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

$(2n)+(2n+2)+(2n+4)=114$

Solve for n. Combine like terms on the left:

$6n+6=114$

Subtract 6 from both sides:

$6n=108$

Finally, divide both sides by 6. Therefore, the value of n is:

$n=108/6=18$

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

4 0

3 years ago

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Hippalectryon

horrorfan [7]

Since the stadium is 6 mi from the practice field which is itself 1 mi from the house, it can either be (1+6)=7 mi North or (1-6)=-5 -> 5 mi South depending on the North/South direction.

the answer is thus A

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3 years ago

Solve for x in the equation x squared + 4 x minus 4 = 8.

Goryan [66]

Step-by-step explanation:

x² + 4x − 4 = 8

x² + 4x − 12 = 0

(x + 6) (x − 2) = 0

x = -6 or x = 2

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3 years ago

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