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gregori [183]
2 years ago
8

Eric orders 3 large cheese pizzas. There is a $2 delivery fee for each pizza.He pays a total of $42.Which equation can be used t

o find the price,x, of each pizza?

Mathematics
1 answer:
ad-work [718]2 years ago
7 0

Answer:

3(x+2)=42

Step-by-step explanation:

So lets go over what we know:

There are 3 large pizzas

Each pizza has a addition cost of 2 dollars

The total cost is 42 dollars

We need to find the cost per pizza.

Now lets piece together our equation.

We know that the pizzas equal 42 dollars so we can immediately put 42 on the opposite side of the equal side:

=42

We also know that each of the 3 pizzas cost 2 dollars. This would go on the left side of the equation:

6=42
Now, we know x is the amount of pizzas. There are 3 pizzas, or in other words, 3x. We can add this to the left side of the equation, because the 3 pizzas plus the 6 dollars equals the total of 42 dollars:

3x+6=42

There are no answers above that look like this, however. This is because we have to factor the left side of the equation.

A factor of both 3 and 6 is 3. So we can factor out 3 and we get:

3(x+2)=42

This looks like the first answer!
Hope this helps! :3

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5(x – 8) + 26 = -29 what is answer and explain ?
Travka [436]
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4 0
3 years ago
Juan is working two summer jobs, making $12 per hour babysitting and making $16 per hour lifeguarding. In a given week, he can w
Semenov [28]

\text{Let }b=

Let b=

\,\,\text{the number of hours babysitting}

the number of hours babysitting

\text{Let }l=

Let l=

\,\,\text{the number of hours lifeguarding}

the number of hours lifeguarding

\text{\textquotedblleft at most 17 hours"}\rightarrow \text{17 or fewer hours}

“at most 17 hours"→17 or fewer hours

Use a \le≤ symbol

Therefore the total number of hours worked in both jobs, b+lb+l, must be less than or equal to 17:17:

b+l\le 17

b+l≤17

\text{\textquotedblleft at least \$240"}\rightarrow \text{\$240 or more}

“at least $240"→$240 or more

Use a \ge≥ symbol

Juan makes $12 per hour babysitting, so in bb hours he will make 12b12b dollars. Juan makes $16 per hour lifeguarding, so in ll hours he will make 16l16l dollars. The total amount earned 12b+16l12b+16l must be greater than or equal to \$240:$240:

12b+16l\ge 240

12b+16l≥240

\text{Plug in }\color{green}{3}\text{ for }b\text{ and solve each inequality:}

Plug in 3 for b and solve each inequality:

Juan worked 3 hours babysitting

\begin{aligned}b+l\le 17\hspace{10px}\text{and}\hspace{10px}&12b+16l\ge 240 \\ \color{green}{3}+l\le 17\hspace{10px}\text{and}\hspace{10px}&12\left(\color{green}{3}\right)+16l\ge 240 \\ l\le 14\hspace{10px}\text{and}\hspace{10px}&36+16l\ge 240 \\ \hspace{10px}&16l\ge 204 \\ \hspace{10px}&l\ge 12.75 \\ \end{aligned}

b+l≤17and

3+l≤17and

l≤14and

​  

 

12b+16l≥240

12(3)+16l≥240

36+16l≥240

16l≥204

l≥12.75

​  

 

\text{The values of }l\text{ that make BOTH inequalities true are:}

The values of l that make BOTH inequalities true are:

\{13,\ 14\}

{13, 14}

\text{(the final answer is this entire list)}

(the final answer is this entire list)

6 0
3 years ago
Helppppppppppppppp 98 points
gtnhenbr [62]

Answer:

18 square units

Step-by-step explanation:

The top line has 5 shaded squares

The next line has 5 shaded squares

The third line from the top has 2 squares

The fourth line from the top has 2 squares

The fifth line from the top has 2 squares

The sixth line from the top has 2 squares

Add them together

5+5+2+2+2+2 = 18

18 square units

3 0
3 years ago
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