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polet [3.4K]
2 years ago
14

for a different punch recipe, the equation,s=4c represents the number of cups of seltzer,s, that you need for,c, cups of cranber

ry juice. what is the constant of proportionality?
Mathematics
1 answer:
asambeis [7]2 years ago
8 0

Answer:

4

Step-by-step explanation:

If two variables are proportional then

y\propto x

y=kx    ...(i)

where, k is constant of proportionality.

The given equation is

s=4c       ...(ii)

where,

s = number of cups of seltzer.

c = cups of cranberry juice.

On comparing (i) and (ii), we get

Independent variable: x=c

Dependent variable: y=s

Constant of proportionality: k=4

Therefore, the constant of proportionality is 4.

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A sports shop has 60 employees. 20% of the employees work part-time. How many part-time employees does the sports shop have?
torisob [31]

Answer:

12

Step-by-step explanation:

60÷100=0.6 0.6x20=12

Therefore the sports shop has 12 part-time employees

8 0
2 years ago
Michael is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%, what is the sale
Anna35 [415]

Answer      

Find out the  what is the sale price of the jeans including tax .

To prove

Let us assume that the sale price of the jeans including tax be x .

As given

Michael is buying a pair of jeans that regularly cost $40.

They are on sale for 20% off.

If the tax rate is 8% .

20% is written in the decimal form

= \frac{20}{100}

= 0.20

8% is written in the decimal form

= \frac{8}{100}

= 0.08

Than the equation becomes

x = 40 - 40 × 0.20 + 40 × 0.08

x = 40 - 8 + 3.2

x = 43.2 - 8

x = $35.2

Therefore the sale price of the jeans including tax be $ 35.2 .



4 0
3 years ago
A searchlight rotates through one complete revolution every 4 seconds. How long does it take the light to rotate through 90 degr
frez [133]
1 full revolution=360
4seconds=360degrees
how many seconds is 90 degrees
4:360=x:90
4/360=x/90
simpllfiy
1/90=x/90
1=x

answer is 1 second
6 0
2 years ago
Read 2 more answers
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w
faltersainse [42]

40 x 5280 = 211200 feet per hour

211200 / 3600 = 58.666 = 59 feet per second

5 0
2 years ago
In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.
vazorg [7]
If you apply the or both
Only 1 of the students would need to know the "or both", therefore maximizing the remaining amount of students you can put in.

Gerald, let's call him, knows French AND German, so there's only one less student that knows french and german. Gerald is 1 student.

MAXIMUM:
There are now 14 monolinguistic French speakers and 16 monolinguistic German's, 30 students + Gerald=31.

Minimum:
As a bonus, the minimum is 15 students knowing french AND German and only 2 monolinguistic German speakers, so 17.
8 0
2 years ago
Read 2 more answers
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