Martin is seating people in the cars of a roller coaster. Each car can seat 8 people. Six of the roller coaster cars are yellow and nine of the roller coaster cars are green. People will be randomly seated in the roller coaster cars. What is the probability that the first person will be seated in a yellow roller coaster car?

Answers

Answer 1

Answer:

The probability is 2/5

Step-by-step explanation:

Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car

The number of cars to select from is 6 + 9 = 15 cars

The number of yellow cars is 6

So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5


Related Questions

Solve this equation: x - 2 1/4 = 3 1/8

Answers

Answer:

The answer is 5 3/8

Step-by-step explanation:

please help i’ll make brainless

Answers

Answer:

Blank 1: 2

Blank 2: 7

Step-by-step explanation:

We can see that the starting value is 2, and the ratio is 7

16an - 19an +8b +9an +12 b

Answers

Answer:

16an - 19an + 9an + 8b + 12b

6an + 20b

Answer:

6an+20b I believe

Step-by-step explanation:

I’ll give brainlest to you if you answer this question correctly!

Answers

Answer:

Step-by-step explanation:

we can take any value as its two variable equation.

(-3,0)  (0,9)   (-2,3)

put these numbers on a graph

I hope this helps

Casey started a puzzle yesterday and completed 63 of the pieces. Today, he is
continuing the puzzle and is laying down the pieces at a constant rate. After 13
minutes, he now has 115 pieces put together. After 21 minutes, he has 147 pieces in
total put together. At what rate is he putting this puzzle together today?
7 pieces/min
2 pieces/min
4 pieces/min
9 pieces/min

Answers

Answer:

4 pieces a minute

Step-by-step explanation:

115 minus 63 equals 52. 52 is what they did in 13 minutes so 52 divided by1 3 is 4 so 4.

what are the solutions ?
[tex]7x ^{2} + 10x - 3 = x ^{2} + 3x[/tex]

Answers

Answer:

[tex]x = \frac{ - 3}{2} \: or \: \frac{1}{3} [/tex]

Step-by-step explanation:

[tex]7 {x}^{2} + 10x - 3 = {x}^{2} + 3x[/tex]

[tex] = > 7 {x}^{2} - {x}^{2} + 10x - 3x -3 = 0[/tex]

[tex] = > 6 {x}^{2} + 7x - 3 = 0[/tex]

[tex] = > 6 {x}^{2} + 9x - 2x - 3 = 0[/tex]

[tex] = > 3x(2x + 3) - 1(2x + 3) = 0[/tex]

[tex] = > (2x + 3)(3x - 1) = 0[/tex]

Here x will have 2 values.

1) [tex]2x + 3 = 0[/tex]

[tex] = > 2x = - 3[/tex]

[tex] = > x = \frac{ - 3}{2} [/tex]

2)[tex]3x - 1 = 0[/tex]

[tex] = > 3x = 1[/tex]

[tex] = > x = \frac{1}{3} [/tex]

April has five times as many clear marbles as blue marbles she has 4 times as many blue marbles as red marbles she has three red marbles how many blue and clear marble does she have altogether

Answers

Answer:

12 blue marbles

60 clear marbles

Step-by-step explanation:

From the information given:

Let the red marble be = r

the blue marble = b;  & the clear marbles be c

April has five times as many clear marbles as blue marbles.

i.e

5c as b

She has 4 times as many blue marbles as red marbles;

i.e.  4b as r

She has 3 red marbles

i.e. r = 3

If r = 3

Then; 4 times as many blue as r will be:

= 4 × 3

= 12 blue marbles

If b = 12; then 5 times as many clear marbles as blue marbles will be:

= 5 × 12

= 60 clear marbles

Write each as a fraction or mixed number in lowest terms
6.05
12.346
7.5

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the decimal number

[tex]6.05[/tex]

Rewrite as

[tex]=6+0.05[/tex]

[tex]=6+\frac{5}{100}[/tex]        ∵ 0.05 = 5/100

[tex]=6+\frac{1}{20}[/tex]

[tex]=\:\frac{121}{20}[/tex]

[tex]=6\frac{1}{20}[/tex]

Given the decimal number

12.346

Rewrite as

[tex]=12+0.346[/tex]

[tex]=12+\frac{173}{500}[/tex]              ∵ 0.346 = 346/1000 = 173/500

[tex]=12\frac{173}{500}[/tex]

Given the decimal number

7.5

Rewrite as

[tex]=7+0.5[/tex]

[tex]=7+\frac{1}{2}[/tex]                 ∵ 0.5 = 1/2

[tex]=7\frac{1}{2}[/tex]

A volunteer made m muffins for the bake sale. After selling 28 muffins, 21 muffins remained. Write and solve an algebraic equation to find how many muffins she originally made. *

Answers

Answer:

The original amount of muffin she original made will be: m = 49

Step-by-step explanation:

Let 'm' be the muffins made for the bake sale.

Given that after selling 28 muffins, 21 muffins remained.

Thus, the equation becomes

[tex]m - 28 = 21[/tex]

adding 28 to both sides

[tex]m-28+28 = 21+28[/tex]

[tex]m = 49[/tex]

Therefore, we conclude that the original amount of muffin she original made will be: m = 49

Do you agree or disagree with each statement? Explain your reasoning.

Employee A gets a pay raise of 50%. Employee B gets a pay raise of 45%. So Employee A gets the bigger pay raise.

Pls help.

Answers

Answer:

agree

Step-by-step explanation:

I agree with employee A getting a bigger pay raise than employee B if employee be got a bigger pay raise that is because they have more responsibility or have more skills than employee B.

The sides of four triangles are given...

Answers

Answer:

Triangle C is

Step-by-step explanation:

can i get brainliest answer pleaseeee

Question 12
7 pt
Marcus bought school supplies for $42.00, not including tax. If the tax rate was 8.5%,
what was the total cost of the school supplies, including tax?

Answers

Answer:

$45.57

Step-by-step explanation:

First, calculate the dollar amount of the tax. This can be done by multiplying the price by the sales tax percentage

$42 × 8.5%= $3.57

Now, add the sales tax amount back to the price.

42 + 3.57 = 45.57

construct a 2x2 matrix whose element are given by i+j​

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Assuming i and j refer to the row and column of a given element, that matrix would be ...

  [tex]\left[\begin{array}{cc}2&3\\3&4\end{array}\right][/tex]

__

Rows are numbered top down, starting with 1. Columns are numbered left-to-right, starting with 1. The upper left element is in row 1, column 1, so has a value here of 1+1 = 2. Each number is one more than the one to its left. Each number is 1 more than the one above it.

A package of pairs of insulated costs ​$. What is the unit price of the pairs of

Answers

Answer:

$5.89 per pair

$35.34   6 pairs

$35.34/6=$5.89 per pair

What numbers are prime numbers?

Answers

Any number that can’t be divided by 2 is prime u won’t give you answer because I want you to use your thinking power

Answer:

C

Step-by-step explanation:

all four numbers in c do not have any other factors other than 1 and itself. All quotients of the number are not whole numbers.

ITS EASY BUT I ALWAYS CANT SOLVE IT

Find the perimeter and the area of a rectangle with the sides 3 3/10 meters and 6 2/3 meters.

The area of the rectangle is __ m2. The perimeter of the rectangle is __ m.

Answers

Answer:

The area of the rectangle is 22 m^2. The perimeter of the rectangle is 19.93

Step-by-step explanation:

The area of a rectangle is [tex]l*w[/tex]. The perimeter of a rectangle is [tex]2(l+w)[/tex] or just adding up all 4 sides. Now, all you need to do is math.

[tex]A= 3.3 * (20/3) = 22\\P = 2 (3.3 + (20/3)) = 19.93[/tex]

If your teacher has rounding rules, please follow it.

Can someone please help me with this

Answers

X is between -6 and 11 and y between -6 and 8

9514 1404 393

Answer:

  [-6, 8]

Step-by-step explanation:

The range of a function is its vertical extent.

Here, the low point on the graph is (11, -6). The high point on the graph is (-6, 8). The graph is continuous between these points, so every value between a low of y=-6 and a high of y=8 is part of the range:

  -6 ≤ y ≤ 8 . . . . . . . . [-6, 8] in interval notation

Can someone please help me

Answers

Answer:

B hope that help

Step-by-step explanation:

3 drinks and 2 pretzels costs $16, but 5 drinks and 5 pretzels costs $31.25. What is the price of one pretzel?

Answers

(3d + 2p = 16)5
(5d + 5p = 31.25)3
Make them same d value
15d + 10p = 80
15d + 15p = 93.75
Subtract both (elimination)
-5p = -13.75
Divide by -5
p = 2.75
Answer: $2.75 per pretzel

2x +y =4 and 5x + 4y = 7

Answers

x=2-y/2 for the first problem
y=4-2x for the first problem

x=7/5-4y/5 for the second problem
y=7/4-5x/4 for the second problem

Pls help PLSSSS PLSSS

Answers

Answer:

a. Geometric

b. 20, 10 and 5

c. Tn = 20(0.5)^n-1

d. 0.00004 ft

Step-by-step explanation:

a. The sequence is geometric

The reason for this is that we will be multiplying each term by a particular value

If it was arithmetic, we would have been adding instead. But since it is geometric, we shall multiply terms by a particular number

b. 1st term is

20

second term

1/2 * 20 = 10

Third term

1/2 * 10 = 5

c. Explicit formula

Mathematically, that will be;

Tn = ar^n-1

Where r is 1/2 or 0.5

Tn = a(0.5)^n-1

where Tn is the present term and n is the present number of the term

d. 20th term

T20 = 20 * 0.5^19

T20 = 0.00004 ft

Please answer!!!! And show work if possible!!!!! ​

Answers

Step-by-step explanation:

Triangles ABX and DCX are similar.

Since they are similar, AX/DX = AB/DC.

Hence AX/2.8 = 8/4 and AX = 5.6.

If you were offered $18 dollars per hour, $3,000 dollars a month or $37,000 dollars a year, which would you take if salary was the only consideration?

Answers

Answer:

I will consider $18/hour pay

Step-by-step explanation:

Before we an know which of the money to consider, we need to converted the equivalent amount in years

If $18 dollars is offered per hour, to know the equivalent amount per year.

1year = 8760hour

$18 = 1hr

x = 8760hr

x =18×8760

x = $157680

For the monthly pay

$3000 = 1month

y =12months

Since 12months are in year

Cross multiply

y = 3000×12

y = $36000

Since the hourly pay equivalent in years is greater than the monthly and yearly pay, hence I would consider $18 per hour pay

Help me please !!!!!

Answers

Answer:

a = 1

Step-by-step explanation:

[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]

One must simplify this expression, by distributing. In order to find a solution, where x has infinite solutions, one must make this equation an identity. That means that the equation will hold true, no matter what value of x is plugged in.

[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]

Distribute;

6x - 2 = 6x - 2a

Inverse operations;

6x - 2 = 6x - 2a

-6x        -6x

-2 = -2a

1 = a

For this equation to be true no matter what, a must equal 1.

Answer:

1

Step-by-step explanation:

please help asap will give brainliest

Answers

Answer:

56.6

Step-by-step explanation:

2 (pi)(r)

2 (3.142) (9)

6.284 (9)

56.556

one decimal place = 56.6

Answer:

28.2

Step-by-step explanation:

C=2(3.142)(4.5)

Radius- half the width.

Hope this helped :)

does anyone know what the. distance would be ?? plz answer asap only if you are correct:)

Answers

Answer:

6 units :)

Step-by-step explanation:

If x = 6 and y = –2, evaluate the following expression:
7(2x – 3y)

Answers

Answer:

14x-21y

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. This is:

  7(2x – 3y)

= 7(2(6) – 3(-2))

= 7(12 + 6)

= 7(18)

= 126

Well's College in New York was previously an all girls school. In 2005, the college began to allow boys to enroll. By 2012, the ratio of boys to girls was 3:7. If there were 200 more girls than boys, how many boys were enrolled that year?

Answers

Answer: 150 boys

Step-by-step explanation:

Let the number of boys be x

Since there were 200 more girls than boys, the number of girls will be: = x + 200

Since the ratio of boys to girls was 3:7, this can be solved further below:

3/7 = x/x+200

Cross multiply

(7 × x) = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150

The number of boys enrolled is 150

Number of Girls will be:

= X + 200

= 150 + 200

= 350

Check: Number of boys / Number of girls

= 150/350

= 3/7

= 3:7

Please answer correctly !!!!!!!!!!! Will mark Brianliestttt helpppp !!!!!!!!!!!!

Answers

Answer:

18

Step-by-step explanation:

The centroid divides the median into 2 parts from the vertex to one point to the opposite side of the vertex where the median starts.

Put into simpler language. HB is twice as long as HF

If Hf is 6 then HB is 12. BF is the total length of both or 6 + 12 = 18

Christine needs to make a total of 40 deliveries this week. So far she has completed 14 of them . What percentage of her total deliveries has Christine completed?

Answers

Answer:

Christine has completed 35% of her total deliveries.

Step-by-step explanation:

To find the answer, you can use a rule of three considering that as Christine needs to make a total of 40 deliveries this week, this would represent 100% and with this you can find the percentage that the 14 deliveries completed represent:

40 → 100%

14  →    x

x=(14*100)/40=35%

According to this, the answer is that Christine has completed 35% of her total deliveries.

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