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nika2105 [10]
4 years ago
7

5/6-2/5 in simplest form

Mathematics
1 answer:
DiKsa [7]4 years ago
7 0

Answer:

13/30

Step-by-step:

First, you find the common denominator, which is 30. For the first fraction, multiply the bottom by five. Since you do that, you have to multiple the top by 5 as well, giving you 25/30. For the second problem, you multiple the top and bottom by six giving you 12/30. 25 minus 12 is 13 so you get 13/30.

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Solve the following quadratic equation for all values of x in simplest form. (x-4)^2=33​
Brrunno [24]

\huge\text{$x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}$}

To solve for x, we need to isolate it on one side of the equation.

Take the square root of both sides, making sure to use both positive and negative roots.

\begin{aligned}(x-4)^2&=33\\x-4&=\pm\sqrt{33}\end{aligned}

\sqrt{33} cannot be simplified, so we'll leave it as-is.

Add 4 to both sides to fully isolate x.

x=\pm\sqrt{33}+4

Expand the solution by making two solutions, one where \sqrt{33} is positive and one where it's negative.

x=\sqrt{33}+4,\ x=-\sqrt{33}+4\\x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}

5 0
3 years ago
Read 2 more answers
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vivado [14]

Answer:

Option 4:  y > 2x

                x + 2y < -8

Step-by-step explanation:

Taking first equation:

y > 2x

Putting x = 0

y > 0

Putting y = 0

0 > x

So the blue line in drawn according to first equation.

Taking second equation:

 x + 2y < -8

Putting x = 0

 2y < -8

y < - 4

putting y = 0

 x < -8

So the red line is drawn accordingly.

i hope it will help you!

7 0
3 years ago
Find an equation of the line passing through the pair of points (2,3) and (5,9). Write the equation in the form Ax + By = C.
8090 [49]

Answer:

- 2x +  y  = - 1 , so the B is correct.

Step-by-step explanation:

+ Because of "the line passing through the pair of points (2,3) and (5,9)", that means the line has the equation y = ax + b where a = (9-3)/(5-2)= 6/3= 2

+ So the equation is y = 2x + b.

+ Then we replace x= 2 and y= 3 into y = 2x + b for finding  like:

3 = 2*2 + b or 3 = 4 + b, so we find b = 3 - 4 = - 1.

+ The equation of this line is y = 2x - 1 or in the form:

                                  2x - y - 1 = 0 (or -2x + y = -1)

Have a good day!

7 0
4 years ago
The total cost of a sweater and a pair of pants was $89.47. If the price of the sweater was $8.53 less than the pair of pants, w
Strike441 [17]

Answer:

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Let P = price of pants

S + P = 89.47 because that was the total spent

S = P - 8.53   because the sweater is 8.53 less than pants

Substitute P-8.53 in place of S in the

1st equation and solve for P

P - 8.53 + P = 89.47

2P - 8.53 = 89.47     add 8.53 to both sides

2P = 89.47 + 8.53

2P = 98.00  divide both sides by 2

P = 98.00/2

P = $49.00

S = P - 8.53

S = 49.00-8.53

S = $40.47

A sweater costs $40.47 and the pants cost $49.00

5 0
2 years ago
Give a # that makes 10 - x &lt; 5 true.
Nimfa-mama [501]
It could be any number that is 4 and under
5 0
3 years ago
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