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KonstantinChe [14]
4 years ago
10

How many solutions are there for the system of equations shown on the graph?

Mathematics
1 answer:
Damm [24]4 years ago
6 0
Ur lines are parallel...this means they never intersect...this means there is no solutions
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Find the quotient of 5/30 1 divided by15 over 23 reduce your answer to the lowest fraction
Fofino [41]
A. 23/93If you wish to divide by a fraction then this is the same as multiplying by that fraction after you swap the numerator and denominator of that fraction. So (5/31) / (15/23) is the same as (5/31) x (23/15). When multiplying fractions you multiply the numerators by each other, and place them as the numerator of the answer and then multiply the denominators and that becomes the denominator of your answer. In this case you now have (5x23)/(31x15). You wish to reduce the fraction so you have (5x23)/(31x5x3) if you factor them. A 5 may be removed from both the top and bottom leaving you (23)/(31x3), or 23/93 sorry for the long answer but there you go
4 0
4 years ago
Read 2 more answers
A movie theater sold 4 adult tickets for every 2 child tickets. The theater sold
Bond [772]

Answer:

Total amount of tickets is 48

Step-by-step explanation:

<u>Step 1:  Determine the amount of tickets they solid in all</u>

We see that the movie theater has a ratio of 4 adult tickets for every children ticket which means that wen a child purchases a ticket there are 2 adult tickets that come along.

32 adult tickets / (2 adult tickets per child)

16 children tickets

<em>Total tickets: </em> 32 adult tickets + 16 children tickets = 48 tickets

Answer:  Total amount of tickets is 48

6 0
2 years ago
Find an equation of the sphere with point P such that the distance from P to A(−2, 6, 2) is twice the distance from P to B(4, 3,
Sveta_85 [38]

Answer:

3*x^{2} - 36*x + 3*y^{2} -12*y + 3*z^{2} -4*z + 62 = 0

Step-by-step explanation:

The distance from a point P = (x,y,z) to another point A = (a,b,c) is given by ((x-a)^{2} + (y-b)^{2} + (z-c)^{2})^{1/2}.

So, if the distance from P to A is twice the distance from P to B, we have an equality given by:

((x+2)^{2} + (y-6)^{2} + (z-2)^{2})^{1/2} = 2*((x-4)^{2} + (y-3)^{2} + (z+1)^{2})^{1/2}

If we power by 2 both sides of the equality to remove the square roots, we have:

(x+2)^{2} + (y-6)^{2} + (z-2)^{2} = 4 * ((x-4)^{2} + (y-3)^{2} + (z+1)^{2})

And solving every parenthesis and operating the similar terms, we have:

(x^{2} + 4*x + 2) - 4*(x^{2} - 8*x + 16) + (y^{2} - 12 * y + 36) - 4*(y^{2} -6*y + 9) + (z^{2} -4*z+4) - 4*(z^{2}+2*z+1) = 0

Operating and multiplying both sides by -1:

(3*x^{2} - 36*x +62) + (3*y^{2} -12*y + 0) + (3*z^{2} -4*z + 0) = 0

Giving as result:

3*x^{2} - 36*x + 3*y^{2} -12*y + 3*z^{2} -4*z + 62 = 0

The sphere can be seen here: https://www.wolframalpha.com/input/?i=3*x%5E2+-+36*x+%2B+3*y%5E2+-12*y+%2B+3*z%5E2+-4*z+%2B+62+%3D+0

7 0
4 years ago
Gloria pays her insurance three times each year. The first payment is 50% of the annual
Xelga [282]

Answer:

First payment (50%) would be 512$

The next two payments would be 32$ each

Explanation:

.5(1024)= 512

.25(512)=128

.25(128)= 32

4 0
3 years ago
Solve the system of equations and choose the correct ordered pair. 
konstantin123 [22]
The answer is A (9,4)
5 0
3 years ago
Read 2 more answers
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