Describe 2 different ways7/3 as a mixed number

1 answer:

4 0

Well, you can do it these two methods⬇

1) ⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇
2 and 1/3 (which is also written as 2 1/3)
⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆

⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇
Theres only one way, but if you're putting it as a decimal then you just divide 7 from 3 to get your answer
⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆

•So, 7 ÷ 3 = 2.3
•And 2(3) + 1 = 7 / 3 (if that makes sense)

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There is a mound of g pounds of gravel in a quarry. Throughout the day, 300 pounds of gravel are added to the mound. Two orders

galina1969 [7]

Answer:

$g+300-700-700=1500, g=2600$

Step-by-step explanation:

At the start of the day there are g pounds of gravel in the quarry.

Then it says that there were 300 pounds added to the mound, so at this point the pounds of gravel in the mound are now g+300.

Then two orders of 700 pounds are sold and removed from the mound. That means they removed 700 pounds from the mound 2 times. Therefore at this point the pounds of gravel in the mound are now g+300-700-700.

Then it says that at this point, the amount of pounds in the mound are 1500. Hence we get

$g+300-700-700=1500$

To solve for g we just add 700 two times to both sides of the equation, and subtract 300 from both sides of the equation, getting:

$g+300-700-700+700+700-300=1500+700+700-300$

And so $g=2600$

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C the vertex of the function

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Let x^2+15x=49

Slav-nsk [51]

<span>x^2 + 15x + 56.25 = 105.25

"Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
x^2 + 15x + 56.25 = 49 + 56.25
Which is
x^2 + 15x + 56.25 = 105.25
Which is the answer desired.

Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?" Well, we know that the left hand side of the equation can now be written as
(x+7.5)^2 = 105.25

Now take the square root of each side
(x+7.5) = sqrt(105.25)

And let's use both the positive and negative square roots.
So x+7.5 = 10.25914226
and
x+7.5 = -10.25914226

And let's find X.
x+7.5 = 10.25914226
x = 2.759142264

x+7.5 = -10.25914226
x = -17.75914226

So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>

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