Answer:
b.) 104
Step-by-step explanation:
Percent formula:
x/y = p/100
where x is the fraction, y is the total, and p is the percent
This means:
x = number of games the team won
y = total number of games
p = percent the number of teams won
Let's plug these values into the equation:
x/y = p/100
x/160 = 65/100
Solve by cross-multiplying:
x/160 = 65/100
100(x) = 100x
160(65) = 10,400
100x = 10,400
/100 /100
x = 104
Therefore, the team won 104 games.
Is it more difficult to run up a ramp with a slope of 1/5 or a ramp with a slope of 5? Explain.
a dlope of 1/5 is walkable; a slope of 5 is not without climbing gear.
Answer:
Option B. ![w=5h-8](https://tex.z-dn.net/?f=w%3D5h-8)
Step-by-step explanation:
we have
![h=(\frac{1}{5})w+(\frac{8}{5})](https://tex.z-dn.net/?f=h%3D%28%5Cfrac%7B1%7D%7B5%7D%29w%2B%28%5Cfrac%7B8%7D%7B5%7D%29)
Solve for w
That means ----> isolate the variable w
Multiply by 5 both sides to remove the fraction
![5h=w+8](https://tex.z-dn.net/?f=5h%3Dw%2B8)
subtract 8 both sides
![5h-8=w+8-8](https://tex.z-dn.net/?f=5h-8%3Dw%2B8-8)
![5h-8=w](https://tex.z-dn.net/?f=5h-8%3Dw)
Rewrite
![w=5h-8](https://tex.z-dn.net/?f=w%3D5h-8)
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