Question

HELP ON 3 AND 4 plssss!!! ill give the brainliest to the first one to answer IF CORRECT CUZ IMMA CHECK IT

Answer 1

Answer:

#3:

8x+56=80

2x=6

x=3

#4

Fabian can make 3 batches of soup

Step-by-step explanation:

Equations

We'll use some algebra rules to set, simplify, and solve equations. LEt's start with question #3

We have the equation

$\displaystyle \frac{1}{4}(8x+56)=20$

From that expression, we'll try to find out which other(s) are equivalent. If we operate the fraction by the parentheses, we have

$2x+14=20$

This expression eliminates the second alternative. If we had multiplied all the equation by 4 instead of performing the product:

$\displaystyle 4*\frac{1}{4}(8x+56)=20*4$

$8x+56=80$

This is equivalent to the first option. It's correct and should be checked out. Taking from this equation

$2x+14=20$

If we subtract 2x, we have

$14=20-2x$

This is different from the first option in the second row. It should not be checked out

Solving for x

$2x=6$

This is equivalent to the last option. Finally,  

$x=3$

which is equal to the 3rd option, first row. To summarize, all the equations equivalent to the first given are

8x+56=80

2x=6

x=3

Question #4

From the 10 pounds of tomatoes Fabian harvested, he sets aside 2.8 pounds to make spaguetti sauce. This leaves him with (10 - 2.8) pounds of tomatoes to make x batches of soup, each one of which needs 2 2/5 pounds of tomatoes. The equation to solve is

$\displaystyle \frac{10-2.8}{x}=2 \frac{2}{5} =\frac{12}{5}$

Solving for x

$\displaystyle \frac{10-2.8}{\frac{12}{5}}=x=\frac{5\times 7.2}{12}=3$

Fabian can make 3 batches of soup