The value of y is -8 if the x -24 and y varies directly with x, and If y = 4 when x = 12.
<h3>What is a proportional relationship?</h3>
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
The question is incomplete.
The complete question is:
If y varies directly with x, and If y = 4 when x = 12, how do you find y when x = -24?
y ∝ x (given)
y = kx
k is the constant of proportionality.
4 = 12k (y = 4, and x = 12)
k = 1/3
y = x/3
Plug x = -24
y = -24/3
y = -8
Thus, the value of y is -8 if the x -24 and y varies directly with x, and If y = 4 when x = 12.
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Answer:
The correct answer is: 
Step-by-step explanation:
As stated in the question that x represents the number of minutes his <em>normal</em> commute takes. Here the keyword is normal; in the <em>normal</em> commute, Ken takes side streets instead of the toll road.
However, in this scenario, we have to come up with the equation that takes Ken's commute via <em>toll road</em>.
Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:
<em>Without considering Ken getting late, </em>the equation would become the following:
--- (A)
<em>As Ken is leaving late</em>, we have to incorporate that time as well by <em>adding</em> it in the aforementioned equation (A).
In this case, it's 20 minutes; therefore, the equation (A) will become:
Hence, the correct answer is .
Answer:
BC = 15.01
Step-by-step explanation:
Tan θ = Opposite / Adjacent
tan 65 = BC / 7
BC = tan 65 × 7
BC = 2.145 × 7
BC = 15.01
-1,3 that’s easy u should definitely pay attention in class
Answer:
79%
Step-by-step explanation:
fraction = 158/200
Denominator has to be over 100 to be able to be converted to percent
158/200 = 79/100
79/100 = 79%
