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pshichka [43]
3 years ago
9

What two numbers add to get 20 and multiply to get 50

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0
It is around 17 and 3 but it gets to close at that point but I was able to get down to 2.95 and 17.05
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glenn swims 2/3 miles on monday, 3/4mile on wednesday, and 5/6 miles on friday. What is the total of distance glenn swims on tho
Archy [21]

Answer:

She swam a total distance of 2  1/4 miles in those three days.

Step-by-step explanation:

Okay, so- The first thing you need to do is make all denominators equal to make these fractions able to be added together. So, I made all denominators 12. (Tell me if you don't know how to make them all the same denominator, and I'll be happy to help!)

<u>2/3  =  8/12   </u>

<u>3/4  =  9/12 </u>

<u>5/6  =  10/12</u>

Then, I added the numerators together. Like this:

<u>8 + 9 + 10 = 27 </u>

So, this would be:

<u>27/12</u>

Lastly, I changed this improper fraction to a mixed number. I multiplied the denominator twice because it looked like it would be closest to 27 without going over.

<u>12 * 2 = 24 </u>

<em>The "2" will be the whole number in the mixed fraction.</em> Now, I'm going to subtract 24 from the numerator.  

<u>27 - 24 = 3 </u>

<u>2 3/12</u>

After simplified, the fraction will be:

2 1/4  

<h3>Hope this helps! Let me know if you need help with something else or if you have questions about this problem !</h3>

8 0
3 years ago
The function f(x) = −x^2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), i
pychu [463]
Set the function to equal zero:

-x^2 - 5x + 50 = 0

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Plug the values into the equation:

a = -1, b = -5, c = 50

x=\frac{5\pm\sqrt{-5^2-4(-1)(50)}}{2(-1)}

x=\frac{5\pm\sqrt{25+200}}{-2}

x=\frac{5\pm15}{-2}

Solve for both plus and minus:

\frac{5 + 15}{-2} = \frac{20}{-2} = -10

\frac{5 - 15}{-2} = \frac{-10}{-2} = 5

x = -10, x = 5

The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.

The answer is '<span>x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>
4 0
3 years ago
The plane perpendicular to the rotation axis and midway between the north and south geographic poles, is called the
mariarad [96]

Answer:

equator

Step-by-step explanation:

8 0
3 years ago
What is the area of the given figure?
Scilla [17]

Answer:

Option A

Step-by-step explanation:

Area of the given figure = area of triangle + area of rectangle

A = side x height/2 + width x length

  = 5 x (8-1-2)/2 + 5 x 8

  = 52.5 in2

                                     

6 0
4 years ago
A piece of land is to be fenced and subdivided as shown to that each rectangle has the same dimensions. Express the total amount
nlexa [21]
There are 3 rectangles.

In the plane, each rectangle has 2x + 7 horizontal side.

The fence covers 3 horizontal sides => 3 (2x + 7)

In the plane, the vertical sideis x. And the fence covers 4 vertical sides => 4x

Then the total amount of fecncin is: 3(2x+7) + 4x = 6x + 21 + 4x = 10x + 21

Answer: 10x + 21<span> </span>
6 0
3 years ago
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