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3 years ago

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There are 2 yellow marbles and 9 orange marbles in a bag. You randomly choose one of the marbles. What is the probability of cho

osing a yellow marble? Write your answer as a fraction in simplest form.

1 answer:

belka [17]3 years ago

7 0

Answer:

2 out of 11

Step-by-step explanation:

hope this helps

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Answer part A and part B and explain how you got your answers please ❤️

Vanyuwa [196]

Part a: Option c: $3x+90+x-14=180$

Part b: The value of x is 26

Explanation:

Part a:

Option a: $3x+x-14=180$

Since, adding all the angles in the straight line results in 180°, and only two of the three angles were added in the equation to find the value of x.

Thus, the equation $3x+x-14=180$ cannot be used to determine the value of x.

Hence, Option a is not the correct answer.

Option b: $3x+90+x-14=90$

Adding all the angles in the straight line results in 180°.

Thus, adding all the angles does not equals to 90°

Hence, the equation $3x+90+x-14=90$ cannot be used to determine the value of x.

Hence, option b is not the correct answer.

Option c: $3x+90+x-14=180$

Since, the straight line is 180° and thus adding the angles in this straight line will result in 180°

Thus, the angles in this straight line are 3x, 90° and x-14.

Hence, adding these angles will result in 180°

Thus, the equation becomes

$3x+90+x-14=180$

Hence, the equation used to determine the value of x is $3x+90+x-14=180$

Thus, Option c is the correct answer.

Option d: $4x+90=360$

Adding all the angles in the straight line results in 180°.

Since, not all the three angles were added in this equation and the equation equals to 180°

Hence, the equation $4x+90=360$ cannot be used to determine the value of x.

Thus, Option d is not the correct answer.

Part b:

To determine the value of x, we shall add all the angles of the equation $3x+90+x-14=180$

Thus, we get,

$4x+76=180$

Subtracting both sides by 76,

$4x=104$

Dividing both sides by 4, we get,

$x=26$

Thus, the value of x is 26.

4 0

3 years ago

5. You are scheduling your classes for next year. There are 4 required classes: a physical education

puteri [66]

<h3>Answer: 450</h3>

==============================================

Explanation:

For now, let's consider we can only select 2 classes instead of 4. Let's say we only had to worry about PE and history.

Let A,B,C,D,E represent the five PE classes.

Let F,G,H,I,J,K represent the six history classes.

If you arrange the letters in a table, you should get 5*6 = 30 different inner boxes of the table. Refer to the diagram below.

Each two letter code in the table represents the 2 class combo. For example, BG means you picked PE class B and history class G.

This idea can be extend to selecting 3 classes. Imagine that each of the codes in the table are laid along the side of a new table. So we'd have a table of 30 rows. Then lay out 5 columns (say with letters L,M,N,O,P) to represent the 5 English classes. You would get a table of 30*5 = 150 different combos here. Of course you shouldn't actually make such a table since it's so large, but I'm simply just saying for you to imagine one. All of the tables mentioned are completely optional. A tree diagram is another way to organize things, though tree diagrams tend to get cumbersome.

Anyway, we would have 5*6*5 = 30*5 = 150 different ways to pick the PE, history and English classes. We can extend this out to include the math classes as well.

-------------------------

In short, all we do is multiply the given values together:

5*6*5*3 = 30*15 = 450

This idea is known as the counting principle.

5 0

2 years ago

A driver descended to a depth of -65 feet in 5 minutes. If she descended at the same rate each minute, what’s the rate?

Sidana [21]

This is an easy one.

65/5= 13.

Therefore, she descended 13 feet per minute.

7 0

3 years ago

What is the successor of the natural number 2012?

andriy [413]

The succesor of the natural number 2012 is 2013.

4 0

2 years ago

Read 2 more answers

at a particular school 40% of children travel by bus if this represents 400 children, how many children attend the school

Oksana_A [137]

Answer:

560 students

Step-by-step explanation:

400x1.4=560

8 0

3 years ago

Read 2 more answers