The constant of proportionality in terms of the cost per text is the coefficient of

in the equation

. Since the coefficient of

is 0.25, the constant of proportionality in terms of the cost per text is 0.25.
Proportionality constants are usually expressed as fractions, so lets convert 0.25 to a fraction. To do that we are going to add the denominator 1 to our decimal, and then we will multiply both numerator and denominator by ten for every number after the decimal point:


Finally, we can simplify our fraction:

We can conclude that the constant of proportionality in text of the cost per text is
1/4
Answer:
x=7
Step-by-step explanation:
We have been given all exterior angles of a quadrilateral which is a polynomial having 4 sides
We know that sum of all exterior angles of a regular polygon is always 360 degree.
So we can all given exterior angles and set it equal to 360
(12x+37)+(12x-2)+(46)+(20x-29)=360
12x+37+12x-2+46+20x-29=360
12x+12x+20x+37-2+46-29=360
44x+52=360
44x=360-52
44x=308
divide both sides by 44
x=7
<u>Hence final answer is x=7.</u>
#1
m∠A=180 - 115 - 24 = 41°
By the law of sines:
b/sinB = a/sinA ⇒
b = (a*sinB)/sinA = (21*sin24°)/sin41° = (21*0.4067)/0.656 ≈ 13
c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (21*sin115°)/sin41° = (21*0.9063)/0.656 ≈ 29
#2
m∠C=180 - 119 - 27 = 34°
By the law of sines:
b/sinB = a/sinA ⇒
b = (a*sinB)/sinA = (13*sin119°)/sin27° = (13*0.8746)/0.454 ≈ 25
c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (13*sin34°)/sin27° = (13*0.5592)/0.454 ≈ 16
#3
m∠C=180 - 57 - 37 = 86°
By the law of sines:
c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (11*sin86°)/sin57° = (11*0.9976)/0.8387 ≈ 13.1
The answer to this question is 24/99. 0.24 with 24 repeating in fractional form is 24/99. You put a 9 in the denominator for every repeating digit.
C= 8x + 5y
y-number of child tikets
C-8x= 5y
(C-8x)/5 =y
First option from up to down