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BARSIC [14]
3 years ago
8

The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?

Mathematics
2 answers:
Anit [1.1K]3 years ago
4 0

For proportionality constant problems, set up the equation as,

x=Ky,

Where x and y are the two variables you are comparing and <em>K </em>is the proportionality constant. If we take <em>Caramel Corn  </em>values as x and <em>Cheddar Corn </em>values as y, and then solve for <em>K </em>for each ratio lines, we will get the same answer. Let's check.

15=K(10)\\K=\frac{15}{10}= \frac{3}{2},

30=K(20)\\K=\frac{30}{20}= \frac{3}{2}, and

45=K(30)\\K=\frac{45}{30}= \frac{3}{2}.

Hence, the proportionality constant, in this case <em>K,</em> is equal to \frac{3}{2} or 1.5. First answer choice is correct.


ANSWER: 1.5


tia_tia [17]3 years ago
4 0

Answer:

1.5

Step-by-step explanation:

The answer is 1.5 because if you were to take 1 whole of the cheddar corn, it'll be 10 and half of that is 5 and when you add those together you get 15 which is 1.5 of 10. I know this is right because i took the quiz and got 100%

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Type the correct answer in each box.
Mariulka [41]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)    

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

r=\sqrt{(2+4)^{2}+(-3-5)^{2}}

r=\sqrt{(6)^{2}+(-8)^{2}}

r=\sqrt{100}\ units

r=10\ units

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center

r is the radius

we have

(h,k)=(5,-4)\\r=10\ units

substitute

(x-5)^2+(y+4)^2=10^2

(x-5)^2+(y+4)^2=100

6 0
3 years ago
Which of the following is a factor of 2x3 – 2?
Ilya [14]
I hope this helps you

8 0
2 years ago
Read 2 more answers
8. What would be the area of a trapezoid whose bases are 6 m and 14 m with a height of 4 m? * ​
Korolek [52]
A=40m

A=a+b
2h=6+14
2·4=40m²
8 0
3 years ago
1/4d=1/5g(g+e)-h <br> solve for d<br> Please show your work.
loris [4]

Answer:

See below

Step-by-step explanation:

To solve for d, multiply both sides of the equal sign by 4.

4(1/4d) = 4 (1/5g(g+e)-h)

4/4d = 4(1/5g^{2} + 1/5ge - h)

d = 4/5g^{2} + 4/5ge - 4h

5 0
3 years ago
Terrence gets a loan with a $50 processing fee. The loan is for $700 with an interest rate of 8% for one
agasfer [191]

Answer:

15.14%

Step-by-step explanation:

The formula for APR is stated thus:

APR=fees+interest/principal/n*365*100

principal is the loan amount of $700

fees is the processing fees on the loan which is $50

interest amount=principal*interest %=$700*8%=$56

n is the number of days of the loan which is a year i.e 365 days

APR=($50+$56)/$700/365*365*100

APR=$106/$700/365*365*100

APR=0.151428571 /365*365*100

APR=0.151428571 *100=15.14%

The annual percentage rate on the loan is 15.14% which represents the actual cost on the loan not just the interest cost of 8% annually

4 0
3 years ago
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