Question:
Felicia makes ½ gallon of fruit punch. She pours an equal amount into 8 glasses.
What fraction of a gallon fruit punch is in each glass?
Answer:
The fraction of a gallon fruit punch is in each glass is 1/16
Step-by-step explanation:
Given
Size of fruit punch = ½ gallon
Number of glass = 8
Required
Fraction of a gallon fruit punch is in each glass?
To solve this question, the following assumption has to be made.
- The 8 glass cups are of equal sizes.
Having said that;
The interpretation of the question is that, the fruit is evenly distributed into the 8 glass cups.
Mathematically, the size of the fruit punch will be divided by the number of glass cups.
So, we have
Fraction = ½ ÷ 8 (convert ÷ to *)
Fraction = ½ * ⅛
Fraction = 1/16
Hence, the fraction of a gallon fruit punch is in each glass is 1/16
Answer/Step-by-step explanation:
Recall: SOH CAH TOA
✔️Find <A:
Reference angle (θ) = A
Opposite side = 14 cm
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin A = 14/20
A = 
m<A = 44° (nearest whole number)
✔️Find <C:
Reference angle (θ) = C
Adjacent side = 14 cm
Hypotenuse = 20 cm
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos C = 14/20
C = 
m<C = 46° (nearest whole number)
✔️Find AB:
Reference angle (θ) = C = 46°
Opposite side = AB
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Sin 46° = AB/20
20*Sin 46° = AB
AB = 14.4 cm (one decimal place)
<span>. 6 times a number is 6x, so quotient of 6x and 16 is the same as saying 6x16
</span>So your answer is:=<span>96<span>x</span></span>
yes because you have to pay more it's tricky
