Answer:
3 mL of hot sauce mixed with 2 ounces of barbecue sauce
45 mL of hot sauce mixed with 30 ounces of barbecue sauce
12 mL of hot sauce mixed with 8 ounces of barbecue sauce
Step-by-step explanation:
we know that
A restaurant makes a dipping sauce with
[tex]\frac{9}{6}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
Simplify
[tex]1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
Verify each case
case A) we have
6 mL of hot sauce mixed with 10 ounces of barbecue sauce
so
[tex]\frac{6}{10}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
simplify
[tex]0.6\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
Compare
[tex]0.6 \neq 1.5[/tex]
therefore
This mixture is not the same that as Flaming BBQ's dipping sauce
case B) we have
3 mL of hot sauce mixed with 2 ounces of barbecue sauce
so
[tex]\frac{3}{2}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
simplify
[tex]1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
Compare
[tex]1.5 =1.5[/tex]
therefore
This mixture is the same that as Flaming BBQ's dipping sauce
case C) we have
45 mL of hot sauce mixed with 30 ounces of barbecue sauce
so
[tex]\frac{45}{30}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
simplify
[tex]1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
Compare
[tex]1.5=1.5[/tex]
therefore
This mixture is the same that as Flaming BBQ's dipping sauce
case D) we have
24 mL of hot sauce mixed with 18 ounces of barbecue sauce
so
[tex]\frac{24}{18}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
simplify
[tex]1.33\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
Compare
[tex]1.33 \neq 1.5[/tex]
therefore
This mixture is not the same that as Flaming BBQ's dipping sauce
case E) we have
12 mL of hot sauce mixed with 8 ounces of barbecue sauce
so
[tex]\frac{12}{8}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
simplify
[tex]1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}[/tex]
Compare
[tex]1.5=1.5[/tex]
therefore
This mixture is the same that as Flaming BBQ's dipping sauce