Answer:
A: 4/5
Step-by-step explanation:
The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.
So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.
The answer would be -9/40
Here’s how you solve it!
Use PEMDAS through out the whole process
Anything that I should multiplied by 1 stays the same so you can multiply the 1 first so your equation looks like this:
3✖️1/8✖️(2/3➕2✖️2/3✖️(1/4➖6/5))
Now subtract the fractions that are in the parentheses, subtract 1/4➖6/5 so your equation looks like this:
3✖️1/8✖️(2/3➕2✖️2/3✖️(➖19/20))
Since a positive multiplied by a negative equals a negative change the sign so your equation should look like this:
3✖️1/8✖️(2/3➖2✖️2/3✖️19/20)
Then use the greatest common divisor and reduce it by 2
3✖️1/8✖️(2/3➖2/3✖️19/10)
Then reduce again
3✖️1/8✖️(2/3➖1/3✖️19/5)
Then multiply the two factors so it now looks like this:
3✖️1/8✖️(2/3➖19/15)
Now subtract what’s in the parentheses so you get this:
3✖️1/8✖️(➖3/5)
Since a positive multiplied by a negative equals a negative it will now look like this:
➖3✖️1/8✖️3/5
Now all you have to do left is calculate the product to get your answer:
-9/40
Hope this helps! :3
For Wendy’s age you can’t do 30-6=24 and then for Zaviel’s you can do 24-6=18 so Wendy is 24 years old and Zaviel is 18 years old.
30-6=w
W-6=z
30-6=24(w)
24-6=18(z)
Answer:
The length is 43 feet, the width is 15 feet, and the area is 645 square feet
Step-by-step explanation:
Let us solve the question
∵ The drawing plan shows a rectangle that is 17.2 inches by 6 inches
∴ The drawing length = 17.2 inches
∴ The drawing width = 6 inches
∵ The scale in the plan is 2 in.: 5 ft
→ By using the ratio method
→ inches: feet
→ 2 : 5
→ 17.2 : L
→ 6 : W
→ By using the cross multiplication
∵ 2 × L = 17.2 × 5
∴ 2L = 86
→ Divide both sides by 2
∴ L = 43 feet
∴ The actual length is 43 feet
→ By using the cross multiplication
∵ 2 × W = 6 × 5
∴ 2W = 30
→ Divide both sides by 2
∴ W = 15 feet
∴ The actual width is 15 feet
∵ The area of the rectangle is A = L × W
∵ L = 43 feet
∵ W = 15 feet
→ Substitute them in the rule of the area
∴ A = 43 × 15
∴ A = 645 feet²
∴ The actual area is 645 square feet
