Flaming BBQ Restaurant makes a dipping sauce with 9\text{ mL}9 mL9, space, m, L of hot sauce for every 666 ounces of barbecue sauce.
Which of the following mixtures will taste the same as Flaming BBQ's dipping sauce?
Choose 3 answers:
Choose 3 answers:

Flaming BBQ Restaurant makes a dipping sauce with 9text mL9 mL9 space m L of hot sauce for every 666 ounces of barbecue sauce Which of the following mixtures wi class=

Respuesta :

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