What it the ordered pair of 7x-2y=3

1 answer:

3 0

In a system of equations with two variables, you generally need two equations to find a unique solution, and this system is no exception. One example of a solution to this problem is (1, 2), but (3, 9) and (5, 16) also work, and there are actually infinitely many solutions to this single equation.

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If y varies inversely as x, and y=10 when x=2, find y when x=8

dedylja [7]

$\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=10\\
x=2
\end{cases}\implies 10=k2\implies \cfrac{10}{2}=k\implies 5=k
\\\\\\
therefore\qquad \boxed{y=\cfrac{5}{x}}
\\\\\\
\textit{when x = 8, what is \underline{y}?}\qquad y=\cfrac{5}{8}$

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Answer:

Step-by-step explanation:

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At bjs you can buy 6 cans for $4.99 or 10 cans for 7.99. Which pack is a better buy?

WINSTONCH [101]

For this, you have to calculate the Unit value,

Unit value of 1rst one, 4.99/6 = 0.83

Unit value of 2nd one, 7.99/10 = 0.79

As, 2nd one is cheaper, so it is better :))

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Solve the system. x – y +z = 14 y +z = 15 z = 7 Enter your answer as an ordered triple.

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All you have to do is find out the answer on your own buddy.

Step-by-step explanation:

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A tank contains 4500 litres of water. Water flows out of the tank at a rate of 1.2 litres per second. How many minutes will it t

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The first thing to notice with this question is that the volume of the tank is given in cm3 yet the rate at which the water leaks is in litres, so a conversion of units will be neccessary. We know that there are 1000cm3 for every litre so 45000cm3 is equivilent to 45 litres (45,000/1000 = 45). So what do we know now? Well the tank of water contains 45 litres, and every minute 0.75 litres is lost, so our objective is to find out how many miuntes go by before the tank is empty. In other words how many 0.75s go into 45, luckily division can help us out. 45/0.75 = 60 minutes.

Mark brainliest please

Hope this helps you

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