MATHEMATICS HIGH SCHOOL

You want to take 10 lessons at a swim club. You can pay a membership fee of $20 plus a fee per lesson. You can also decide no to pay a membership fee. In that case, the fee per lesson is $3 more. Is there any lesson fee for which these two plans cost the same?

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

Plan A: 20 + 10x

Where, x = fee per lesson

Plan B: $3 × 10 lessons = $30

Equate plan A and plan B

Plan A = Plan B

20 + 10x = 30

10x = 30 - 20

10x = 10

x = 10/10

= 1

x = 1

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Using the quadratic formula to solve 2x^2 = 4x – 7, what are the values of x?

Answers

For this case we have the following quadratic equation:

$2x ^ 2 = 4x - 7$

Rewriting the equation we have:

$2x ^ 2 - 4x + 7 = 0$

From here, we have:

$a=2 b = -4c = 7$

Substituting values in the quadratic equation we have:

$x = (-b+/-√(b^2-4ac))/(2a)$

$x = (-(-4)+/-√((-4)^2-4(2)(7)))/(2(2))$

Rewriting the equation we have:

$x = (4+/-√(16-56))/(4)$

$x = (4+/-√(-40))/(4)$

$x = (4+/-√(-4*10))/(4)$

$x = (4+/-2i√(*10))/(4)$

$x = (2+/-i√(*10))/(2)$

Answer:

The values of x are given by:

$x = (2+i√(*10))/(2)$

$x = (2-i√(*10))/(2)$

Answer:

Is C.

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Please Help Will Give Brainliest If Correct!The line segment shown is rotated 90° about the origin (counterclockwise). What are the new coordinates of point A?

A) (2, 1)
B) (-2, 1)
C) (-2, -1)
D) (1, 2)

Answers

Point A before being rotated = (1,-2)

A point (x,y) is rotated counterclockwise by 90°. The result will be (-y,x)

If point (1,-2) rotated counterclockwise by 90°, the result will be (2,1)

ANSWER: A. (2,1)

Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability that Jerome will get a green or yellow marble on the first draw and a pink on the second draw?

Answers

The answer is 7/50.

To calculate this, a multiplication rule and an addition rule are used.

There are in total 20 marbles:

3 green + 4 yellow + 5 blue + 8 pink = 20 marbles.

The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens, you will use the addition rule. We have two events from multiple pathways:

1. The probability that Jerome will get a green marble on the first draw is 3/20:

Of all 20 marbles, 3 of them are green. The probability that Jerome will get a green marble is 3/20.

2. The probability that Jerome will get a yellow marble on the first draw is 4/20:

Of all 20 marbles, 4 of them are yellow. The probability that Jerome will get a green marble is 4/20.

- Using the addition rule, the probability that Jerome will get a green or yellow marble on the first draw is 7/20:

3/20 + 4/20 = 7/20

The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied. Here we have two events:

1. The probability that Jerome will get a green or yellow marble on the first draw is 7/20.

2. The probability that Jerome will get a pink on the second draw is 8/20:

Of all 20 marbles, 8 of them are pink. The probability that Jerome will get a pink marble is 8/20.

- Using the multiplication rule, the probability that Jerome will get a green

or yellow marble on the first draw and a pink on the second draw is 7/50:
7/20 × 8/20 = 56/400 = 7/50

Answer:

he is correct

Step-by-step explanation:

A square with side length c has an area of 81 square centimeters. The following equation shows the area of the square. c^2 = 81. What is the side length of the square in centimeters?

Answers

Answer:

9 cm

Step-by-step explanation:

c^2=81

Take the square root of both sides.

The square root of c^2 is c.

The square root of 81 is 9.

c=9

Answer:

C = 9 centimeters

Step-by-step explanation:

First, look at the area of a square, which formula is c^2 or in standard format - s^2. Thus, we can say, c^2 = 81. Then, we can simplify, and put c = √81. Since 81 is a perfect square, 9 * 9 = 81. Thus the answer is 9 centimeters.

What is 22/52 reduced into a fraction

Answers

The common factor here is 2, so this reduces to 11/26

Same as the other person said 11/26 because 2 can go into both top and bottom numbers check: 11 x 2= 22 26 x 2 = 52 = 22/52 correct

A game consists of randomly choosing a bag out of a choice of 100 and then again randomly,picking a ball from it. Each bag has the same total number of balls