The value of y when x=8 and z = 1/4 is 1 based on the joint variation
<h3>How to determine the value of y?</h3>
The variation is given as
A joint variation
Such that y varies jointly as x and z
This means that
y = kxz
Where k is the constant of variation
From the question, we have
y=15 when x=5 and z=6
This means that
15 = k * 5 * 6
So, we have
15 = 30k
Evaluate
k = 0.5
Substitute k = 0.5 in y = kxz
y = 0.5xz
When x=8 and z = 1/4, we have
y = 0.5 * 8 * 1/4
Evaluate
y = 1
Hence, the value of y is 1
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The product of the two equation in which one is binomial equation another quadratic equation, is 12a³+2a²+23a+18.
<h3>How to multiply two equations?</h3>
To multiply the two equation, each term of the first equation is multiples from the second term.
The first equation given in the problem is,
The second equation given in the problem is,
The product of these two equations are,
Hence, the product of the two equation in which one is binomial equation another quadratic equation, is 12a³+2a²+23a+18.
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The length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet
Given:
Kit
Plane = 27 feet
wingspan = 18 feet
Model:
Plane = 13.5 inches
Wingspan = x feet
convert 13.5 inches to feet
1 feet = 12 inches
13.5 inches = 1.125 feet
So,
equate Ratio of plane to wingspan
27 : 18 = 1.125 : x
27/18 = 1.125 / x
cross product
27 × x = 18 × 1.125
27x = 20.25
x = 20.25/27
x = 0.75 feet
Therefore, the length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet
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Solve for y by simplifying both sides of the equation, then isolating the variable.
y = 9.
You'll need to write your question a bit clearer. It's difficult to understand because a lot of it seems jumbled together.