Substitute w=1 and w=3 to determine if the two expressions are equivalent. 4(3w+4) 16w+12 which statements are true? check all that apply. a: the value of both expressions when w=1 is 28. b: the two expressions are equivalent. c: the value of both expressions when w=1 is 16. d: the two expressions are not equivalent. e: the value of both expressions when w=3 is 52. f: the value of both expressions when w=3 is 60.

A: The value of both expressions when w=1 is 28.

D: The two expressions are not equivalent.

Step-by-step explanation:

Given expressions are:

4(3w+4)

and

16w+12

For w=1

First Expression:

4(3w+4)

= 4[3(1)+4]

=4(3+4)

=4(7)

=28

Second expression:

16w+12

= 16(1)+12

=16+12

=28

For w=3

First Expression:

4(3w+4)

= 4[3(3)+4]

=4(9+4)

=4(13)

=52

Second expression:

16w+12

= 16(3)+12

=48+12

=60

Now looking at the statements:

A: The value of both expressions when w=1 is 28.

The statement is true because our calculated values of both expressions are 28 for w=1.

B: The two expressions are equivalent.

The two expressions are not equivalent because their values at w=3 are not same.

C: The value of both expressions when w=1 is 16.

The value of both expression when w=1 is 28 so this statement is not correct

D: The two expressions are not equivalent.

We can see by comparing the values that both expressions are not equivalent.

E: The value of both expressions when w=3 is 52.

F: The value of both expressions when w=3 is 60.

Both statements are false because both expressions have different values at w=3 ..

38.5

step-by-step explanation:

lets say, first number = r

second number = 3r+7

total = 49

(r)+(3r+7)= 49

4r+7 = 49

4r = 42

r = 42/4

r= 10.5

3r+7 = 3(10.5)+7 = 38.5

hope this

the answer is c. 23/3