The amount of ribbon needed is the perimeter of the board 2 x length + 2 x width
Answer is A 160 inches
8.25/3 = $2.75 per ice cream
2.75 * 2 = $5.50
It would cost $5.50 for 2 ice cream
Answer:the number is 25
Step-by-step explanation:
2a-7=43
Collect like terms
2a=43+7
2a=50
Divide both sides by 2
2a/2=50/2
a=25
Consider the contrapositive of the statement you want to prove.
The contrapositive of the logical statement
<em>p</em> ⇒ <em>q</em>
is
¬<em>q</em> ⇒ ¬<em>p</em>
In this case, the contrapositive claims that
"If there are no scalars <em>α</em> and <em>β</em> such that <em>c</em> = <em>α</em><em>a</em> + <em>β</em><em>b</em>, then <em>a₁b₂</em> - <em>a₂b₁</em> = 0."
The first equation is captured by a system of linear equations,

or in matrix form,

If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be

and this is what we wanted to prove. QED