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PIT_PIT [208]
3 years ago
9

Malcolm is filling bags with rice. He starts with a 5 1/4 pound container of rice and fills each

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Basically we want to know how many times 5/8 goes into 5 1/4.

5 1/4 ÷ 5/8 = 21/4 ÷ 5/8 = 21/4 × 8/5 = 42/5 = 8.4 bags

Since we cannot have a fraction of a bag, he can fill 8 bags completely.

answer: 8 bags

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How many solutions do these equations have
Arlecino [84]

Answer:

\large\boxed{\bold{one\ solution}\ (1,\ -4)\to x=1,\ y=-4}

Step-by-step explanation:

\left\{\begin{array}{ccc}y=2x-6\\y=-x-3\end{array}\right\\\\\text{These are linear functions. We only need two points to draw a graph.}\\\\\text{Choice two values of x, substitute to the equation,}\\\text{and calculate the values of y.}\\\\y=2x-6\\for\ x=0\to y=2(0)-6=0-6=-6\to(0,\ -6)\\for\ x=3\to y=2(3)-6=6-6=0\to(3,\ 0)\\\\y=-x-3\\for\ x=0\to y=-0-3=0-3=-3\to(0,\ -3)\\for\ x=-3\to y=-(-3)-3=3-3=0\to(-3,\ 0)\\\\\text{Look at the picture}

\text{The intersection of the line is the solution of the system of equations:}\\\\(1,\ -4)\to x=1,\ y=-4

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