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GalinKa [24]
3 years ago
13

A park ticket is $42 per person. For groups with up to 8 people, the cost per ticket goes down $3. Molly's ticket cost $30. How

many people are in Molly's group?
Mathematics
1 answer:
Rzqust [24]3 years ago
3 0

There are 4 people in Molly's group.

Step-by-step explanation:

Let,

x be the number of people.

Individual ticket price = $42

Price after discount = $30

Discount per ticket = $3

Discount for x people = 3x

According to given statement;

42-3x=30  

Subtracting 42 from both sides

42-42-3x=30-42\\-3x=-12\\

Dividing both sides by -3

\frac{-3x}{-3}=\frac{-12}{-3}\\x=4

There are 4 people in Molly's group.

Keywords: Subtraction, division

Learn more about subtraction at:

  • brainly.com/question/11007026
  • brainly.com/question/11207748

#LearnwithBrainly

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The combined math and verbal scores for students taking a national standardized examination for college admission, is normally d
kipiarov [429]

Answer:

The minimum score that such a student can obtain and still qualify for admission at the college = 660.1

Step-by-step explanation:

This is a normal distribution problem, for the combined math and verbal scores for students taking a national standardized examination for college admission, the

Mean = μ = 560

Standard deviation = σ = 260

A college requires a student to be in the top 35 % of students taking this test, what is the minimum score that such a student can obtain and still qualify for admission at the college?

Let the minimum score that such a student can obtain and still qualify for admission at the college be x' and its z-score be z'.

P(x > x') = P(z > z') = 35% = 0.35

P(z > z') = 1 - P(z ≤ z') = 0.35

P(z ≤ z') = 1 - 0.35 = 0.65

Using the normal distribution table,

z' = 0.385

we then convert this z-score back to a combined math and verbal scores.

The z-score for any value is the value minus the mean then divided by the standard deviation.

z' = (x' - μ)/σ

0.385 = (x' - 560)/260

x' = (0.385×260) + 560 = 660.1

Hope this Helps!!!

8 0
4 years ago
What is the value of x. Please explain how you came to your answer (my other question is worth less and has a scam answer on it
Liono4ka [1.6K]

Answer:

Step-by-step explanation:

8 0
3 years ago
Write the equation of a Line that is perpendicular to y=5/2x+3 and passes
koban [17]

Answer:

Step-by-step explanation:

Slope of perpendicular lines = -1

y = 5/2x + 3

m_{1}=\frac{5}{2}\\\\m_{1}*m_{2}=-1\\\\

        m_{2}= -1 ÷ m_{1}

               = -1*\frac{2}{5}=\frac{-2}{5}

(-3 , -5)

Equation of the required line: y - y₁ = m(x -x₁)

                                                y - [5] = \frac{-2}{5}(x - [-3])\\

                                               y+5=\frac{-2}{5}x + 3*\frac{-2}{5}\\\\y+5=\frac{-2}{5}x-\frac{6}{5}\\\\   y =\frac{-2}{5}x-\frac{6}{5}-5\\\\   y = \frac{-2}{5}x-\frac{6}{5}-\frac{5*5}{1*5}\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{25}{5}\\\\\\ y=\frac{-2}{5}x-\frac{31}{5}

5 0
3 years ago
Identify each number as rational or irrational.
emmasim [6.3K]

Answer:

1. Rational

2. Irrational

3. Irrational

4. Rational

5. Irrational

Step-by-step explanation:

Rational numbers are numbers you can identify as the ratio of two integers. Which means they don't go on forever. 1 and 4 are both rational numbers while 2, 3, and 5 are irrational.

4 0
3 years ago
XY=4x+7 and YZ=8x-1, Find XY
laiz [17]

Answer:

XZ = 12x + 6

Step-by-step explanation:

XZ = XY + YZ

XZ = <u>4x</u> + 7 + <u>8x</u> - 1

XZ = 12x + 6

5 0
3 years ago
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