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Mama L [17]
3 years ago
13

Please help ~~ and if you could, please explain what a constant of proportionality is :)

Mathematics
2 answers:
morpeh [17]3 years ago
8 0

Answer:

The answer is D. k=5

Step-by-step explanation:

The constant of proportionality is just the rate the x increases or decreases at.  The x is increasing by 5 over time so the COP or rate is 5.

Masja [62]3 years ago
5 0

Answer:

The answer is D: K=5

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

So, what you do is that you get the first number, which is 5/25. Simplify it and divided to get it as low as possible, if you do that, you would get 1/5 and 1/5 can also mean 5/1 in these situations. So your basic answer is 5.

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Joseph has a job walking dogs and gets paid per dog. He needs to walk 45 dogs to earn enough money to pay for his soccer team fe
rusak2 [61]

Using proportions, it is found that it will take him 22.5 hours to walk the 45 dogs.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

He walks 3 dogs in 1 hour and 30 minutes, we means that the time in hours it takes for him to walk a dog is:

t = 1.5/3 = 0.5 hours.

Hence the time it will take him to walk 45 dogs is given by:

45 x 0.5 = 22.5 hours.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
1 year ago
A discount airline sells a certain number of tickets, x, for a flight for $90 each. It sells the number of remaining tickets, y,
yKpoI14uk [10]

Answer:

x+y= 120

90x+250y=27,600

Step-by-step explanation:

x= number of certain tickets

y= number of remaining tickets

The statement indicates that for a particular flight the airline sold 120 tickets which means that the sum of the different tickets is 120. The first equation is:

x+y= 120

Then, the statement says that certain number of tickets costs $90 and the remaining tickets cost $250 and that for a particular flight, the airline collected $27,600. From this, you can say that the number of certain tickets, x, multiply for its price that is $90 plus the number of the remaining tickets, y, multiply for its price that is $250 would be equal to $27,600. The equation would be:

90x+250y=27,600

According to this, the answer is that the system of equations that represents this relationship between x and y is:

x+y= 120

90x+250y=27,600

7 0
4 years ago
Vanessa draws one side of equilateral ΔABC on the coordinate plane at points A(–2, 1) and B(4,1). Select all the possible coordi
Radda [10]

(1, \sqrt{27})  and (1, - \sqrt{27})

Step-by-step explanation:

Step 1 :

The co ordinates of the given equilateral triangle are A(-2,1) and B(4,1)

The distance between these 2 points is the length of the given triangle

Distance between the 2 points is  \sqrt{(x2-x1)^{2}+ (y2-y1)^{2}} = sqrt (sq(4-(-2)) + sq(1-1)) = 6

Hence the given triangle has 3 equal side of length 6 unit.

Step 2:

The length of the other side should be 6. Let (x,y) be the co-ordinate of the point C

We have then x = 1 (because the perpendicular from C to AB bisects AB we have the point C to have the x co-ordinate as 1)

Also we have the distance between the point B(4,1) and C(1,y) to be 6 as this is an equilateral triangle

Hence \sqrt{(4-1)^{2} + (1-y)^{2 } = 6

=> 9 + 1 + y^{2} -2 y = 6

=> y^{2}-2 y - 26 = 0

=> y = 2± sqrt(4+104) / 2 = 1 ± sqrt(27)

Hence the possible co ordinates of C are (1, \sqrt{27})  and (1, - \sqrt{27})

3 0
4 years ago
Show 46/200 on the hundredths grid. then write the fractions as a demical
SSSSS [86.1K]
If we want to has 100 in the denominator we have to divide numerator and denominator by 2. Then total value of fraction doesnt change.
\frac{46}{200}= \frac{46:2}{200:2}= \frac{23}{100}
Now read the fraction, its 23 hundreds, now just write as decimal, so, 0.23
3 0
4 years ago
The average temperature change in degrees Fahrenheit per hour if the temperature fell 22degree Fahrenheit in 10 hours
Nonamiya [84]

Answer:

2.2 degrees per hour

Step-by-step explanation:

22/10=2.2

4 0
3 years ago
Read 2 more answers
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