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Alexxandr [17]
2 years ago
14

49w^2-4=0. Simplied fraction?

Mathematics
1 answer:
HACTEHA [7]2 years ago
8 0

Answer:

{-2/7, 2/7}

Step-by-step explanation:

Here you're being asked to solve the given equation 49w^2-4=0 for w with the hint that the solutions are fractions.

49w^2-4=0 is the product of the sum and difference of two squares:

(7w - 2)(7w + 2) = 0

Setting each factor equal to zero and solving for w, we get:

{-2/7, 2/7} as the solutions.

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in 2 h, kelly laid new floor tile over 1/5 of the room. when she was joined by annette, the rest of the work was completed in 3h
jeyben [28]

Answer: Annette will take 6 hours to do the entire job alone.

Step-by-step explanation:

Given: Time taken by Kelly to do \dfrac{1}{5} of job = 2 hours

i.e. Time for complete job done alone by Kelly =5\times2=10\ hours

Rest of work = 1-\dfrac{1}{5}=\dfrac{4}{5} of the job

\dfrac{4}{5}  of the complete job done by both Kelly and Annette in 3 hours

Time would be taken by then to do entire job together = 3\times\dfrac{5}{4}=3.75\ hours

Let t be the time taken by Annette to do job alone.

Then, as per situation

\dfrac{1}{3.75}=\dfrac{1}{10}+\dfrac{1}{t}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{3.75}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{4}{15}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow\ t=6

hence, Annette will take 6 hours to do the entire job alone.

7 0
3 years ago
HELP DUE AT MIDNIGHT TN
White raven [17]

Answer:

102

Step-by-step explanation:

These angles are congruent due to corresponding angles thm

3x + 21 = 6x - 60

3x - 6x = -60 - 21

-3x = -81

x = 27

3x + 21

3(27) + 21

81 + 21

102

8 0
2 years ago
23.5% of 128 Round to the nearest tenth if necessary
hram777 [196]
The answer is 30.08....................................................................
.
5 0
3 years ago
HELP!!! solve the following system:<br>y = x + 3<br>3x + y = 19
MariettaO [177]
3x + (x+3) = 19
4x + 3 = 19
4x = 16
x = 4

y= x+3
y= 4+3
y= 7
8 0
3 years ago
What is the solution for the following system of equations?<br><br>5x + 7y = 3<br><br>2x + 3y = 1
spayn [35]
<span>A) 5x + 7y = 3
B) 2x + 3y = 1

Multiplying Equation B by -2.5
</span><span>B) -5x -7.5y = -2.5 Then adding this to Equation A)
A) 5x + 7y = 3</span>

-.5y  = .5
y = -1

Since
<span>2x + 3y = 1 then
2x -3 = 1
then x = 2

</span>
6 0
3 years ago
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