MATHEMATICS HIGH SCHOOL

1) Which BEST describes the number of solutions for the given equation?Consider the equation 7x-6 + 3 = 5x + 2x +
5
A)
one solution
B)
two solutions
infinitely many solutions
D)
no solution
2) Which equation has infinitely many solutions?
A) 9x - 3 = 3x + 6x + 2 + 3
B) 12(X + 8) - 11x - 5
11x - 2x + 15 = 8 + 7 + 9x
D) 5x - 8 - 11 - 7x + 12x

Answers

Answer 1
Answer:

Answer:

number one is D no solution

number two is B 12(x+8)-11x-5

Step-by-step explanation:
Answer 2
Answer:

Final answer:

The given equation 7x - 6 + 3 = 5x + 2x + 5 has no solution. The equation with infinitely many solutions is 11x - 2x + 15 = 8 + 7 + 9x.

Explanation:

For the first part of your question, let's begin by simplifying the given equation 7x - 6 + 3 = 5x + 2x + 5.

When simplified, it becomes 7x - 3 = 7x + 5, and further simplifying will give us -3 = 5, which is not correct.

Hence, this equation has no solution. So the option is D) No solution.

For the second question, let's simplify each equation and see which one results in a true statement that doesn't involve 'x'. The equation A) 9x - 3 = 3x + 6x + 2 + 3 simplifies to 9x - 3 = 9x + 5, which also gives us a false statement -3 = 5. So, the answer is not A).

If we do the same for the remaining options, we'll find that the equation with infinitely many solutions is C) 11x - 2x + 15 = 8 + 7 + 9x, simplifying it gives 9x + 15 = 15 + 9x which is a true statement for any x.

So, the equation with infinitely many solutions is option C).

Learn more about  equations here:

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A group of 25 students want to see a drake concert. Tickets for members of drakes fan club cost $20 and tickets for no members cost $25. The total cost for tickets is $550

Answers

If you would like to know how many of each type of ticket were sold, you can calculate this using the following two equations:

a ... the number of drakes fan club tickets
s ... the number of no members tickets

$550 = a * $20 + s * $25 ... 550 = 20 * a + 25 * s
a + s = 25 ... a = 25 - s
__________________
550 = 20 * a + 25 * s

550 = 20 * (25 - s) + 25 * s

550 = 20 * 25 - 20 * s + 25 * s

550 - 20 * 25 = 5 * s

550 - 500 = 5 * s    /5

s = 50 / 5 

s = 10 tickets

a = 25 - s = 25 - 10 = 15 tickets

Result: There were 15 drakes fan club and 10 no members tickets sold.

for his long distance phone service, Pablo pays an eight dollars monthly fee +6 cents per minute. Last month, Pablo's long-distance bill was $19.46. For how many minutes was Pablo billed?

Answers

He was billed for 191 minutes. $19.46-$8 fee=$11.46/6=191

Of the 1,000 students in a local college, 420 own brand X mobile phones and 580 own brand Y mobile phones. Of these students, 80 own both brands of mobile phones. Find the probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone.2/14

5/21

3/28

4/29

Answers

Answer: The probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone is 4/29.

Step-by-step explanation:

Since, the total number of students, n(s) = 1,000

The number of students who have X mobile phones, n(X) = 420,

And, number of students who have Y mobile phones, n(Y) = 580,

Thus, the probability of the student that has Y phones,

P(Y)=(n(Y))/(n(S))=(580)/(1000)=0.58

While, the number of students who have both phones, n(X∩Y) = 80

Thus, the probability of the student who has both phones,

P(X\cap Y)=(n(X\cap Y))/(n(S))=(80)/(1000)=0.08

Hence, the probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone.

P((X)/(Y))=(P(X\cap Y))/(P(Y))

=(0.08)/(0.58)

=(8)/(58)=(4)/(29)

Hence, the required probability is 4/29.
If we were to put this in terms of a venn diagram, we would have 360 owning only brand X, 500 owning only brand Y, and 80 in between, owning both. Therefore, 80 out of the 580 owners of brand Y may have X as well, which we put into fraction form 80/580, and reduce to 4/29.

Which of the following best defines density?A.
A measure of the volume of a given substance

B.
A number between 0 and 1 that defines how thick a substance is

C.
A measure of how much mass a given volume of a substance will have

D.
A measure of the mass of a given substance

Answers

Answer:

Density = mass/volume

Step-by-step explanation:

The mass per unit volume of a given substance is called its density. It can be represented by d or ρ. Mathematically, it is given by :

density=mass/volume

The SI unit of mass is kg and the SI unit of volume is m³. So, the SI unit of density is kg/m³.

So, the statement that defines density is "A measure of how much mass a given volume of a substance will have". Hence, the correct option is (c).
Density is mass per unit volume, therefore the correct answer is C. A measure of how much mass a given volume of a substance will have

If ab = 10 and a2 + b2 = 30, what is the value of
(a + b)^2?

Answers

Answer: (a + b)² = 50

Step-by-step explanation:

(a + b)² = (a + b)(a + b)

= a² + ab + ab + b²

So, (a + b)² = a² + b² + 2ab

Then substitute the value of ab and (a² + b²)

(a + b)² = 30 + 2(10)

= 30 + 20

Therefore, (a + b)² = 50
ab=10
a^2+b^2=30
((a+b)^2=a^2+2ab+b^2=a^2+b^2+2*10=30+20=50

URGENT PLEASE HELP
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Answers

Yes 
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2/9 0.22222
3/9 0.33333
4/9 0.44444
5/9 0.55555
6/9 0.66666
7/9 0.77777
8/9 0.88888
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