Question:
The quantities x and y are proportional.
x y
5.8 7.5
11.2
Find the constant of proportionality (r) in the equation y=rx
Answer:
The constant of proportionality is 75/58 or 1.29
Step-by-step explanation:
Given
The table above
Required
Find the constant of proportionality
The question has an incomplete table but it can still be solved because x and y are proportional.
Given that
y = rx
Make r the subject of formula
Divide through by x
y/x = rx
y/x = r
r = y/x
When y = 7.5, x = 5.8
Substitute these values
r = y/x becomes
r = 7.5/5.8
Multiply denominator and numerator by 10
r = (7.5 * 10)/(5.8 * 10)
r = 75/58
In this case, it's best to leave the answer in fraction.
However, it can be solved further.
r = 75/58
r = 1.29 (Approximated)
Hence, the constant of proportionality is 75/58 or 1.29
Answer:
£1290
Step-by-step explanation:
35%+40%= 75%
£600=25% £600÷20=30 25%of till = 30 notes 100%=120 notes
40% of 120 =48notes 48x10=£480
90notes-48notes=42notes
42x£5=£210
£600+£480+£210=£1290
Positive 14/472 (because of rise over run when finding slope)
Given:
Spoilage rate of fruits = 9% = 0.09
To find:
Amount of fruits to be order to have 100 pounds of peaches and considering the spoilage rate.
Solution:
Let the required amount of fruits you should order be x.
So, spoiled fruits = 9% of x = 0.09x
He would like to have 100 pounds of peaches to sell.
Divide both sides by 0.91.
The required amount of fruits to be order is 110 lbs. Therefore, the correct option is D.
Answer: Amy = domestic stock
Rick = Employer stock
Nisha = International stock
Step-by-step explanation:
Amy invests in shares that won't be affected by exchange rate fluctuations. This shows that the stock that Amy invested in is a domestic stock. These are the stocks that are usually sold by companies in the home country.
As a part of Rick's full-time benefits package, he can invest in compally stock. This shows that Rick invested in the employer stock.
Nisha needs to research the political situation in a specific country before she purchases stock. Nisha invested in an international stock.
