a) As the constants are equal, the situation represents a proportional relationship.
b) The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constants for each situation are:
k = 30/45 = (30/15)/(45/15) = 2/3 = 20/30.
Since the constants are equal, the situation represents a proportional relationship.
The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
c. 44,950,000
Step-by-step explanation:
The following table is missing:
Year Attendance (millions)
1985 18.4
1990 25.2
1995 33.1
2000 37.6
Using a calculator, the line of best fit is obtained. Equation:
y = 1.31x - 2581.6
where y is attendance (in millions) and <em>x</em> is the year. Replacing with x = 2005 into the equation, we get:
y = 1.31(2005) - 2581.6
y = 44.95 millions or 44,950,000
Answer:
40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)
Step-by-step explanation:
Add 4y to both sides of the equation:
x=4y-22
Now replace x in the equation:
(4y-22)-4y=-22
Distribute the negative sign:
-4y+22-4y=-22
Add common terms:
-8y+22=-22
Add 8y to both sides of the equation:
8y-22=22
Add 22 to both sides of the equation:
8y=44
Divide both sides by 8:
y=5.5
The equation that could be used to solve for the length of XY is XY = 22/sin(41)
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Sine rule is used to show the relationship between the sides and angles of a trinagles.
Using sine rule on triangle XYZ:
XY / sin(Z) = XZ / sin(Y)
XY / sin(90) = 22/sin(41)
XY = 22/sin(41)
The equation that could be used to solve for the length of XY is XY = 22/sin(41)
Find out more on equation at: brainly.com/question/2972832
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