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elena-14-01-66 [18.8K]
3 years ago
9

Determine the constant of Proportionality in the situation below

Mathematics
1 answer:
9966 [12]3 years ago
4 0

a constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

in this case, 10 video games cost $145

the question's basically asking what you have to multiply 10 by to get 145

y= 145; x=10

k= y/x = 145/10=14.5

the constant of proportionality is 14.5


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Michael can buy 4 sandwiches and 3 cups of coffee for $23.75. Amy can buy 2 sandwhiches and 5 cups of coffee for $19.75 how much
Kobotan [32]

Answer: The cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

Step-by-step explanation:

Let x be the cost of one sandwich and y be the cost of one cup of coffee.

By considering the given situation, we have the following equations :-

4x+3y=23.75.................(1)\\\\2x+5y=19.75................(2)

Multiply 2 on both sides of equation (2) , we get

4x+10y=39.5................(3)

Subtract equation (1) from equation (3), we get

7y=15.75\\\\\Rightarrow\ y=\dfrac{15.75}{7}=2.25

Put value of y in (1), we get

4x+3(2.25)=23.75\\\\\Rightarrow\ 4x+6.75=23.75\\\\\Rightarrow\ 4x =17\\\\\Rightarrow\ x=4.25

Hence, the cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

8 0
2 years ago
One long-distance company offers a plan such that each minute costs $0.10 and each call has a $0.25 service
gladu [14]

Answer:

<em>y=0.10(t)+0.25 </em>

<em>27 minutes and 30 seconds </em>

Step-by-step explanation:

We know that you start with 25 cents as a service fee, this is for making the call. For each minute you talk, 10 cents are added. Multiply the number of minutes spent by 10 cents a minute for the cost based on the call. Then add the 25 cents service fee.

If you talked for 5 minutes:

y=0.10(5)+0.25

y=0.50+0.25

y=0.75

75 Cents

For three dollars, you would plug in 3 for y

3.00=0.10(t)+0.25

-0.25            -0.25

2.75=0.10(t)

divide both sides by 0.10 to get

27.5=t

You can talk for 27 minutes and 30 seconds

27 minutes

<u>Hope this helps :-)</u>

3 0
3 years ago
-(12+8)? Also |16-11| need help
hram777 [196]

-(12+8)=-(20)=-20

|16-11|=|7|=7

8 0
3 years ago
Please answer this question!!!!!!!!!!!!! I really need help!!!!!!!!!!
Romashka-Z-Leto [24]
We can't help you if you don't say the problem with ou need help with
7 0
3 years ago
I need help with geometry!
ss7ja [257]

Step-by-step explanation:

If m is parallel to n and one of its angle is 25

Therefore, the vertically opposite angle to angle of 25 is also equal to 25

Now, we have to find x

Therefore, x=180-25 ( interer angles on the same side of the transversal so addition of both angles is 180)

Therefore, x =155

8 0
2 years ago
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