A. Constant of proportionality in this proportional relationship is; k=5
B. Equation to represent this proportional relationship is : c=t/k
Step-by-step explanation:
A.Given that : the amount she pays each month for international text messages is proportional to the number of international texts she sends, then
$3.20 k = 16 ---------where k is the constant of proportionality
k= 16/3.20 =5
k=5
B. Let c be the cost of sending the texts per month and t be the number of texts sent per month , so
c=t/k
c=t/5 ---------- is the proportionality relationship.
For t=16 , c= 16/5 =$3.20
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Proportionality :brainly.com/question/11490054
Keywords: cell phone plan, month, international texts, proportional,paid
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Answer:
(35 - 4)/2 = w and 15.5kg
Step-by-step explanation:
To get the weight of both bags you would have to first subtract the backpack's weight from the total weight. 35 - 4 = 31. Now divide by 2 to get the weight of one bag. 31/2 = 15.5. Each bag weighs 15.5 kg
Answer:
100/25, 60/15, and 4/1
Step-by-step explanation:
Answer:
0.6 m
Step-by-step explanation:
-The area of a circular shape is given by the formula:
![A=\pi r^2\\\\\#Where\\r-Radius\\A-Area](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%5C%5C%5C%5C%5C%23Where%5C%5Cr-Radius%5C%5CA-Area)
We substitute the given value of area in the formula to solve for Radius:
![A=\pi r^2\\\\1.13=\pi r^2\\\\r=\sqrt{\frac{1.13}{\pi}}\\\\=0.59974\approx0.6\ m](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%5C%5C%5C%5C1.13%3D%5Cpi%20r%5E2%5C%5C%5C%5Cr%3D%5Csqrt%7B%5Cfrac%7B1.13%7D%7B%5Cpi%7D%7D%5C%5C%5C%5C%3D0.59974%5Capprox0.6%5C%20m)
Hence , the radius length of the table is 0.6 m
Answer: Option (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Explanation:
Given expression:
![(2^3)(2^{-4})](https://tex.z-dn.net/?f=%282%5E3%29%282%5E%7B-4%7D%29)
<em>Step-1: </em>Add the exponents and keep the same base by using
property.
![(2^3)(2^{-4}) = 2^{(3+(-4))} = 2^{-1}](https://tex.z-dn.net/?f=%282%5E3%29%282%5E%7B-4%7D%29%20%3D%202%5E%7B%283%2B%28-4%29%29%7D%20%3D%202%5E%7B-1%7D)
Step-2: The reciprocal of
is
, which is ![2^1](https://tex.z-dn.net/?f=2%5E1)
Step-3: The exponent of
is +1; therefore, change the sign of exponent. The end expression will now become:
![2^{-1}](https://tex.z-dn.net/?f=2%5E%7B-1%7D)
Hence, the correct option is (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.