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saul85 [17]
3 years ago
14

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?
Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

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

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the sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger
Reil [10]
<h2>Answer:</h2>

x\geq 3 \ and \ x+1 \geq 4

<h2>Step-by-step explanation:</h2>

The question in this problem is:

<em>The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger. What are the numbers?</em>

<em />

First of all, let's name the first variable x which is the smaller number. Accordingly, the lager number will be x+1 given that those numbers are consecutive. On the other hand<em> at most </em>conveys the idea of an inequality, which is:

\leq \\ which \ means \ less \ than

So:

1. The sum of 2 consecutive integers can be written as:

v+(v+1)

2. Nine times the smaller and 5 times the larger can be written as:

9v-5(v+1)

Finally, the whole statement:

The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger:

x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\

x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\ \frac{6}{2} \leq \frac{2x}{2} \\ \\ 3 \leq x \\ \\ x\geq 3 \\ \\ and \\ \\ x+1 \geq 4

The two numbers are:

x\geq 3 \ and \ x+1 \geq 4

6 0
3 years ago
A deli offers 2 platters of sandwiches. Platter A has 2 roast beef and 3 turkey sandwiches. Platter B has 3 roast beef and 2 tur
erica [24]

Answer:

2 x+3 y and 3 x+ 2 y

Step-by-step explanation:

Let x represents the number of roast beef and y represents the number of turkey sandwiches.

Let r and t represent cost of the roast beef and sandwich.

Platter A:

Platter A has 2 roast beef and 3 turkey sandwiches. So, equation is 2 x+3 y.

Total cost of the platter = 2 r x+3 t y

Platter B:

Platter B has 3 roast beef and 2 turkey sandwiches. So, equation is 3 x+2 y.

Total cost of the platter = 3 r x+2 t y

So, the two equations are 2 x+3 y and 3 x+ 2 y.

7 0
3 years ago
How many cups of lemonade were sold in all? Write and solve an equation
Lady_Fox [76]

There is no full question.



7 0
3 years ago
11. 33 is what percent of 75?
alukav5142 [94]
If you would like to know what percent of 75 is 33, you can calculate this using the following steps:

x% of 75 is 33
x% * 75 = 33
x/100 * 75 = 33     /*100/75
x = 33 * 100 / 75
x = 44%

Result: 44% of 75 is 33.
8 0
3 years ago
Read 2 more answers
Will give brainliest answer
melamori03 [73]

Answer:

See attached

Step-by-step explanation:

<em>Refer to attached</em>

Point B has coordinates of (8, 12) relevant to point P

  • Scale factor is 1/4

So the coordinates of the image are

  • x = 8/4=2, y= 12/4=3

The point is

  • B'(2, 3)

4 0
4 years ago
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