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WINSTONCH [101]
3 years ago
6

Subtract and simplify.

Mathematics
1 answer:
wlad13 [49]3 years ago
3 0
Remove parantheses, subtract and solve using quadratic formulae

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Given that these simultaneous equations
Tatiana [17]

The value of k is(3\sqrt{ 10})/2

<h3>How to solve the simultaneous equation?</h3>

Given:

x-y=k.............(eq i)

2x²+y²-15..............(eq ii)

We would make y the subject formula in eq ii

2x²+y²-15= 0

2x² + y²= 15

y²= 15-2x²

y= \sqrt{15-2x^2}...........(eq iii)

Substitute the value of y into eq i

x-(\sqrt{15-2x^2}= k

x- (\sqrt{15} - 2x= k

k= (3\sqrt{ 10})/2

Read more about simultaneous equations here:

brainly.com/question/16863577

#SPJ1

3 0
1 year ago
Kevin and Randy Muise have a jar containing 70 coins, all of which are either quarters or nickels. The total value of the coins
Nikitich [7]

Answer:

50 nickels, 20 quarters.

Step-by-step explanation:

System of equations (q = # of quarters, n = # of nickels):

<em>q + n = 70, 0.25q + 0.05n = 7.50</em>

the first equation can be changed to q = 70 - n, so we are able to <em>substitute q with 70 - n</em>.

So, it will look like <em>0.25*70 - 0.25n + 0.05n = 7.50</em>. This can be simplified to <em>0.2n = 10</em>, which means that n = 50.

Knowing that we can solve <em>q + 50 = 70</em>, which means that q = 20.

6 0
3 years ago
What is the solution to 9x−6&lt;21?
Alisiya [41]

Answer:

x > 3

Step-by-step explanation:

1) Add 6 to both sides.

9x > 21 + 6

2) Simplify 21 + 6 to 27.

9x > 27

3) Divide both sides by 9.

x >  \frac{27}{9}

4) Simplify 27/9 to 3.

x > 3

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>option</u><u> </u><u>B</u><u>.</u><u> </u><u>x</u><u> </u><u>></u><u> </u><u>3</u>.

7 0
2 years ago
Jordan mixed together 9 gal. of Brand A fruit drink and 8 gal. of Brand B fruit drink which contains 48% fruit juice. Find the j
Pie

Answer:

Step-by-step explanation:

You do this by figuring out the amounts of pure fruit juice in all.

Explanation:

Mixture:

17 gal 30% contains:  

17

⋅

30

100

=

5.10

gal pure juice

From Brand B:

8 gal 48% contains:  

8

⋅

48

100

=

3.84

gal pure juice

So  

5.10

−

3.84

=

1.26

gal came from 9 gal of brand A

So the percentage of A is:

1.26

9

⋅

100

=

14

%

pure juice.

Mark brainliest if this answer is correct please

8 0
3 years ago
What is the volume of the portion of the sphere in which the students' favorite color is red? Round your answer to the nearest t
Finger [1]

Answer:

.28

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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