Nico, Aditi, Erick, Raj, and Sandra are solving the equation.

Two-fifths (5 + x) = 8

Each student begins to solve the problem as shown.

Nico
Aditi
Erick
Two-fifths (5 + x) = 8. (Five-halves) two-fifths (5 + x) = 8 (five-halves)
Two-fifths (5 + x) = 8. Five-halves (5) + five-halves x = (five-halves) 8
Two-fifths (5 + x) = 8. Two-fifths (5 + x) minus 5 = 8 minus 5


Raj
Sandra
Two-fifths (5 + x) = 8. (one-half) two-fifths (5 + x) = 8 (one-half)
Two-fifths (5 + x) = 8. two-fifths (5) + two-fifths x = 8


Which students are correct in their approach to solving the problem? Select three options.
Nico
Aditi
Erick
Raj
Sandra

Respuesta :

Answer:

Nico, Raj and Sandra are correct

Step-by-step explanation:

we have

[tex]\frac{2}{5}(5+x)=8[/tex]

Method 1

Solve for x

That means ----> isolate the variable x

we have

[tex]\frac{2}{5}(5+x)=8[/tex]

Multiply by 5/2 both sides

[tex](\frac{5}{2})\frac{2}{5}(5+x)=(\frac{5}{2})8[/tex]

[tex]5+x=20[/tex]

subtract 6 both sides

[tex]5+x-5=20-5[/tex]

[tex]x=15[/tex]

Method 2

Solve for x

That means ----> isolate the variable x

we have

[tex]\frac{2}{5}(5+x)=8[/tex]

Multiply by 1/2 both sides

[tex](\frac{1}{2})\frac{2}{5}(5+x)=(\frac{1}{2})8[/tex]

[tex]\frac{1}{5}(5+x)=4[/tex]

Multiply by 5 both sides

[tex](5)\frac{1}{5}(5+x)=(5)4[/tex]

[tex]5+x=20[/tex]

subtract 6 both sides

[tex]5+x-5=20-5[/tex]

[tex]x=15[/tex]

Method 3

Solve for x

That means ----> isolate the variable x

we have

[tex]\frac{2}{5}(5+x)=8[/tex]

Apply distributive property left side

[tex]\frac{2}{5}(5)+\frac{2}{5}(x)=8[/tex]

[tex]2+\frac{2}{5}(x)=8[/tex]

subtract 2 both sides

[tex]2+\frac{2}{5}(x)-2=8-2[/tex]

[tex]\frac{2}{5}(x)=6[/tex]

Multiply by 5/2 both sides

[tex](\frac{5}{2})\frac{2}{5}(x)=(\frac{5}{2})6[/tex]

[tex]x=15[/tex]

therefore

Nico, Raj and Sandra are correct

Answer:

Nico Raj & Sandra

Step-by-step explanation:

I am only answering this question so you can mark the other person brainliest because she/he deserves it lol :D

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE