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serg [7]
3 years ago
5

Which expression below is equivalent to 4/3x + 4 2/3?

Mathematics
2 answers:
White raven [17]3 years ago
7 0

For this case we have the following expression:

\frac{4}{3}x + 4\frac{2}{3}

The first thing we must do for this case is to write the mixed number as a fraction.

We have then:

\frac{4}{3}x + \frac{14}{3}

Then, we can do common factor 2/3 in the expression.

We have then:

\frac{2}{3}(2x + 7)

Answer:

An equivalent expression is:

\frac{2}{3}(2x + 7)

Option D

tino4ka555 [31]3 years ago
5 0
I assume that 4 2/3 is 4 and 2/3, not 4 * 2/3. If so, 4 2/3 is as much as 14/3.

A. 4/3 (x + 2) = 4/3x + 8/3
B. 1/3 (4x + 6) = 4/3x + 2
C. 2/3 (2x + 4) = 4/3x + 8/3
D. 2/3 (2x + 7) = 4/3x + 14/3

It means that D is correct.
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8 0
3 years ago
Use a proportion to determine the number of children age 5 in a kindergarten class if 80% of a class of 20 children are that age
igor_vitrenko [27]

Answer:

16 children

Step-by-step explanation:

80% of 20 children comes out to 16 children who are of age 5.

If desired, rewrite "80%" as "0.80" and use that 0.80 as the multiplier of 20:

0.80(20 children) = 16 children.

4 0
4 years ago
one more than seven times the difference of a number and 4 is equivalent to twice the difference of the number and 1
slava [35]

Answer:

the number is 5

Step-by-step explanation:

We have to find the equation to solve the problem.

Let the number be x

lets write one more than seven times the difference of a number and 4  in mathematical form

1. Difference of number and 4 will be written as x - 4

now

2. seven times the difference of a number and 4 will be written as

7*( x - 4)

3. one more than seven times the difference of a number and 4 is expressed as

1 + 7*( x - 4)

_____________________________________________

1 + 7*( x - 4) is equal to twice the difference of the number and 1

4. difference of the number and 1 is x - 1

5.  twice the difference of the number and 1 is 2*(x-1)

Thus,

1 + 7*( x - 4) = 2*(x-1)

=> 1 + 7x - 28 = 2x -2

=> 7x - 27 = 2x - 2

adding 27 both sides

=> 7x - 27 + 27 = 2x - 2 + 27

=> 7x = 2x + 25

subtracting 2x from both sides

7x -2x = 2x + 25 - 2x

=> 5x = 25

dividing both side by 5

5x/5 = 25/5

x = 5

Thus, the number is 5  answer

8 0
3 years ago
What are the factors of -12?
Alenkinab [10]

Answer:

− 12  ,  − 6 , − 4 , − 3, −2, −1, 1, 2, 3, 4, 6 , 12

Step-by-step explanation:

-12 * 1 = -12

-6 * 2 = -12

-4 * 3 = -12

-3 * 4 = -12

-2 * 6 = -12

-1 * 12 = -12

1 * -12 = -12

2 * -6 = -12

3 * -4 = -12

4 * -3 = -12

6 * -2 = -12

12 * -1 = -12

8 0
3 years ago
A, a +4,a+8,...<br>write the nth term of sequence in terms of the first term of the sequence​
IgorC [24]

1)

a1 = 2*5

a2= 2*2*5

a3= 2*3*5

...

an=2n -*5

2)

u1 = a

u2 = a +4

u3 = a + 2 * 4

u4 = a + 3 * 4

...

un = a + ( n - 1 )* 4

6 0
3 years ago
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