2 and 1/2 divided by 1/3

Mathematics

1 answer:

Keith_Richards [23]3 years ago

7 0

$2 \frac{1}{2}: \frac{1}{3}= \frac{5}{2}\cdot \frac{3}{1}= \frac{15}{2}=7 \frac{1}{2}$

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C.) 4. Solve the system of equations

raketka [301]

You can set them equal to each other so -3x+4=4x-10 and then you add 3x and 10 on both sides and get7x=14 and then divided both sides by 7 and get x = 2 and check by plugging in and you get -2 for y on both so solution is x=2

7 0

3 years ago

A number is doubled and then 1 is added to it. The answer is divided by 5 and then increased by 16. The final result is 18.

ipn [44]

So let's break down this sentence (Let n = unknown number):

"A number is doubled and then 1 is added to it"; Remember that double means multiplied by 2. With this sentence, we can determine that "2n + 1" is a part of the equation.
"The answer is divided by 5, and then increased by 16"; The "answer" they refer to is "2n + 1" from the prior sentence. Since this is divided by 5 and <em>then</em> added by 16, we can determine that $\frac{2n+1}{5}+16$ is a part of our equation.
"The final result is 18"; This means that the prior part of the equation is equal (=) to 18. <u>With this info, our full equation is $\frac{2n+1}{5}+16=18$ </u>

Now, let's solve our prior equation found in A. To solve for the unknown number, n, we need to isolate the variable onto 1 side of the equation. Firstly subtract both sides by 16 to cancel out the + 16 on the left side:

$\frac{2n+1}{5}=2$