Answer:
Step-by-step explanation:
An equation is formed of two equal expressions. The number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Jamison needs a total of $395 to buy a new bike but he has only $35 saved. Also, He earns $15 each week delivering newspapers.
Now, the equation that can represent the situation can be written as,
Cost of the bike = Amount Saved + Earning by delivering newspapers
Substituting the values,
$395 = $35 + $15x
where x is the number of weeks for Which Jamison needs to work in order to purchase the new bike. Therefore, solving the equation for x,
395 = 35 + 15x
395 - 35 = 15x
360 = 15x
x = 360 / 15
x = 24
Hence, the number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.
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Answer:
(√6)/2 square units
Step-by-step explanation:
The area of a triangle is half the magnitude of the cross product of the vectors representing adjacent sides.
QR = (4-3, -1-(-4), -4-(-5)) = (1, 3, 1)
QS = (3 -3, -5-(-4), -6-(-5)) = (0, -1, -1)
The cross product is the determinant ...
The magnitude of this is ...
|QR × QS| = √((-2)² +1² +(-1)²) = √6
The area of the triangle is half this value:
Area = (1/2)√6 . . . . square units
Answer:
P in terms of V is:
P = 432/V
Step-by-step explanation:
We know that y varies inversely as x, we get the equation
y ∝ 1/x
y = k/x
k = yx
where k is called the constant of proportionality.
In our case,
P is inversely proportional to V
Given
P = 18
V = 24
so
P = k/V
k = PV
substituting P = 18 and V = 24 to determine k
k = 18 × 24
k = 432
now substituting k = 432 in P = k/V
P = 432/V
Therefore, P in terms of V is:
P = 432/V
