PART A
Change the fractions into improper fractions
pablo - rosa = 4 4/9 - 3 5/12
pablo - rosa = 40/9 - 41/12
Equalize the denominator of the fractions
I equalize them to 36. If the denominator 9 is multiplied by 4, so is the numerator. If the denominator 12 is multiplied by 3, so is the numerator.
pablo - rosa = 40/9 - 41/12
pablo - rosa = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
pablo - rosa = 160/36 - 123/36
pablo - rosa = 37/36
Change it to mixed fraction
pablo - rosa = 37/36
pablo - rosa = 1 1/36
Pablo has 1 1/36 quarts more than Rosa
PART B
Calculate the iced tea Pablo gave to Rosa
Change into proper fraction/improper fraction
iced tea given = 15% × 4 4/9
iced tea given = 15/100 × 40/9
iced tea given = 600/900
iced tea given = 2/3
Calculate Pablo's iced tea after giving
Pablo's = 40/9 - 2/3
Pablo's = 40/9 - (2 × 3)/(3×3)
Pablo's = 40/9 - 6/9
Pablo's = 34/9
Pablo's = 3 7/9
Calculate Rosa's iced tea
Rosa's = 41/12 + 2/3
Rosa's = 41/12 + (2 × 4)/(3 × 4)
Rosa's = 41/12 + 8/12
Rosa's = 49/12
Rosa's = 4 1/12
Pablo has 3 7/9 quarts and Rosa has 4 1/12 quarts
Answer:
Step-by-step explanation: The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
There are 8 ounces in 1 cup.
54/8 =6.75 cups
Answer:
mean = 12.9
median = 9.5
Step-by-step explanation:
mean = sum of all observations / total no. of observations
= 7+9+10+6+8+12+5+11+48+13 / 10
=129 / 10
= 12.9
median = middlemost no. after arranging in ascending order
= 5,6,7,8,9,10,11,13,48
=9 and 10
=9+10 / 2
= 19 / 2
= 9.5
Answer:
625 seconds and 10 minutes
Step-by-step explanation:
distancs=S=5km=5000m
average speed=v=8m/s
time taken=t=?
as we know that
average speed=
average speed×time taken=distance covered
here we have to find the time taken
time taken=
time taken=
time taken=625seconds
now we convert seconds into minutes
10 minutes
