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3 years ago

How can I identify witch of those numbers don’t belong with the other there 50.1 -50 over two -50.1 square root of 50?

Mathematics

1 answer:

PolarNik [594]3 years ago

7 0

I'm assuming you were given these four values

50.1, -50/2, -50.1, sqrt(50)

where 'sqrt' stands for 'square root', and the slash symbol means divide or fraction.

If my assumption is correct, then the term that does not belong is sqrt(50). This is because the other values are all rational. We can express them as a fraction of two whole numbers

50.1 = 501/10
-50/2 is already a fraction, no need to do any work for this one
-50.1 = -501/10

But we can't do the same with sqrt(50). It is irrational. Note how 50 is not a perfect square. Your calculator will show that sqrt(50) = 7.07106781186548 and that decimal sequence goes on forever without any pattern. If you were given sqrt(49), then it would work because sqrt(49) = 7 = 7/1.

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Is x = 2 a solution of the equation 8 - 5x = 3?*<br> (5 Points)<br> O Yes<br> O No

kondaur [170]

Answer:

No sir

Step-by-step explanation:

first you will try to get x by its self.

so were it says -5x = 3 you wanna do

+5 +5 on both sides to cancel out 5 so that would be

X = 8 because -5 + 5 is 0 which in this case will be left with X

you already have 8 so x = 8

Hopefully this helps

3 0

3 years ago

Monica's rectangular living room is 12 ft by 15 ft. She has a square rug that covers 5/9 of the area of the floor. What is the s

GarryVolchara [31]

10 ft i think. 5/9 of 180 (which is 12 x 15) is 100 and 10 x 10 is 100

4 0

3 years ago

Eight times the difference of a number and seventeen is thirty"?

Y_Kistochka [10]

Difference of a number and 17: x - 17
eight times that = 8(x - 17)
8(x - 17) = 30

divide both sides by 8
x - 17 = 30/8

x = 30/8 + 17 which is 20.75

5 0

3 years ago

Read 2 more answers

Write a rule for the linear function in the graph<br> Plz help

Scilla [17]

Answer:

y = -x +4

Step-by-step explanation:

The y-intercept of the line is at +4, so the only viable choice is the last choice.

___

Each of the equations is shown in slope-intercept form:

y = mx + b

where b is the y-intercept, the y-value when x=0. The graph shows that as point (0, 4). So, the equation you're looking for is ...

y = (some x-term) +4

If you want to spend more brain power on the problem, you can compute the slope of the line as ...

m = ∆y/∆x = (1-4)/(3-0) = -3/3 = -1

Now, you know for sure the equation of the line is ...

y = -x +4

4 0

3 years ago

Dana has 800 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed are

grin007 [14]

Answer:

Perimeter of rectangle states that total distance around the outside, which can be found by adding together the length of each side.

As per the given statement, Dana has 800 yards of fencing to enclose a rectangular area.

Therefore, perimeter of rectangle = 800 yards.

Perimeter(P) of rectangle is given by :

P = 2(x+y) where x is the length and y is the width of the rectangles respectively.

Then,

2(x+y) = 800

Divide both sides by 2 we get;

x+y =400

y = 400 -x .....[1]

We know, the area(A) of rectangle is given by

A = xy .....[2]

Substitute equation [1] into [2] we get;l

A = x(400-x)

using distributive property $a\cdot (b+c) = a\cdot b+ a\cdot c$

$A = 400x -x^2$

$A =-x^2+400x$ ......[3]

To maximize the enclosed area.

For a quadratic function in standard form $y =ax^2+bx+c$ , the axis of symmetry is a vertical line given by;

$x = -\frac{b}{2a}$

Then; we have from equation [3]

a = -1 and b = 400

By axis of symmetry;

$x = -\frac{b}{2a}$ = $-\frac{400}{2 \cdot -1} =\frac{400}{2} = 200$

Substitute in equation [1] to solve for y:

y = 400 - 200 = 200

The dimensions of the rectangle that maximize enclosed area are:

x = 200 units and y = 200 units.

Maximum area = $200 \times 200 = 40,000$ square units.

We can say that maximum area of rectangle will always be a square

4 0

2 years ago