Answer:
The price per book that Mary purchased is $12
Step-by-step explanation:
Mary's total cost can be expressed as;
C=(p×n)+s
where;
C=total cost
p=price per unit of books
n=number of books purchased
s=shipping fee
In our case;
C=$55.25
p=unknown
n=4
s=$7.25
replacing;
55.25=(4×p)+7.25
4 p+7.25=55.25
4 p=55.25-7.25
4 p=48
p=48/4
p=12
The price per book that Mary purchased is $12
To solve for <em>x</em>, we must first isolate the term containing <em>x</em> which in this problem is 5x.
Since 10 is being added to 5x, we subtract 10 from both sides of the equation to isolate the 5x.
On the left, the +10 and -10 cancel out and on the right, 20 - 10 is 10 and we have 5x = 10.
Now we can finish things off by just dividing both sides of the equation by 5. On the left the 5's cancel and on the right, 10 divided by 5 is 2 so <em>x = 2</em>.
Answer:
The graph in the attached figure
Step-by-step explanation:
Graph the solution of the inequality

we know that
The solution is the interval ---> (-∞,-4]
All real numbers less than or equal to -4
In a number line the solution is the shaded area at left of t=-4 (closed circle, because the number -4 is included in the solution))
using a graphing tool
The graph in the attached figure


Step-by-step explanation:

- <em><u>distribute</u></em><em><u> </u></em>4 through the parentheses


- move the <em><u>variable</u></em><u> </u>to the left hand side and change its sign

- move the <em><u>constant </u></em>to the right hand side and change its sign

- collect<em><u> like</u></em><em><u> terms</u></em>
<em><u>
</u></em>

- divide both sides of the equation by <em>-</em><em>5</em>
<em>
</em>
<h2>
<em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em></h2>