A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.

The test contains 10 three-point questions and 14 five-point questions.

The test contains 14 three-point questions and 10 five-point questions.

The test contains 20 three-point questions and 8 five-point questions.

The amount Nat's paid at the club before the discount is $157.90

Given:

Total bill including discount = $150

Discount = $5

Amount before discount = x

Total bill including discount = Amount before discount - (Discount × Amount before discount)

150 = x - (5% × x)

150 = x - (0.05 × x)

150 = x - 0.05x

150 = 0.95x

divide both sides by 0.95

x = 150 / 0.95

x = 157.89473684210

Approximately,

x = $157.90

Therefore, amount Nat's paid at the club before the discount is $157.90

Read more:

brainly.com/question/19535437

Answer:

$157.89

Step-by-step explanation:

The original price is x

you took away 5%, making the new price 95% of x, or .95x

Put it in an equation

.95x = 150

x = 150/.95

x = 30/.19

x = 3000/19

x=157 17/19

x is about $157.89

I'm not sure but i think it is $9

Answer:

20%

Step-by-step explanation: I took the quiz.

Answer:

The right answer is 25% because

Step-by-step explanation:

1.   40 - 8 = 32

2.  40 - 32 = 8

3.   8 / 32 = 0.25

4.   0.25 x 100 = 25

5.   25 = 25%

The next term or the fifth term of the geometric sequence is 0.5. The option A is the correct option.

What is geometric sequence?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

Here, (a) is the first term of the sequence and (r) is the common ratio.

The sequence given in the problem is,

648,  108,  18,  3,  . . .  and so on.

The common ratio between the two terns is,

\

Thus, the common ratio of the geometric series is 6.

The first term is 648 and the common ratio is 6. Thus the next or fifth term of the sequence is,

Hence, the next term or the fifth term of the geometric sequence is 0.5. The option A is the correct option.

Learn more about the geometric sequence here;

brainly.com/question/1509142

Answer:

To get from one term of this sequence to the next, divide by 6.

So, once we get to three, the next term will be 0.5 because 3/6 = 0.5

Let me know if this helps!