Which of the following best shows the associative property of addition?

How do I multiply 6/7 x 1/8?

Mamont248 [21]

6/56 = 3/28........................

7 0

3 years ago

Read 2 more answers

A. {0,1,2,3,4}<br> B. {1,2,3,4}<br> C. {-1,0,1,2,3}<br> D. {-2,-1,0,1,2,3,4}

Harlamova29_29 [7]

Option D:

The set is {-2, -1, 0, 1, 2, 3, 4}.

Solution:

Given set:

$\{x \in Z:-2 \leq x \leq 4\}$

Z means integer values.

Integer means set of positive and negative values including zero.

$-2 \leq x \leq 4$

This means x lies between -2 and 4.

If x strictly less than -2 and greater than 4 means you don't have to include -2 and 4.
But here x less than or equal to -2 and greater than or equal to 4, so you have to include -2 and 4.

The integers are -2, -1, 0, 1, 2, 3 and 4.

So, x belongs to the set {-2, -1, 0, 1, 2, 3, 4}

Hence the given set is defined by the set {-2, -1, 0, 1, 2, 3, 4}.

Option D is the correct answer.

6 0

3 years ago

There are 6 yellow hexagons 2 red trapezoids and 9 green triangles how many flowers could you make if they were changed 30 yello

Zinaida [17]

Answer:

<h3>a) 5 flowers</h3><h3>b) Trapezoid</h3>

Step-by-step explanation:

For one flower, the following shapes are used;

6 yellow hexagons, 2 red trapezoids and 9 green triangles

If we are given 30 yellow hexagons 50 red trapezoids and 60 green triangles, to get the number of flowers we can make, we will find the greatest common factor of 30, 50 and 60

30 = 6*5

50 = (2*5)+40

60 = (9*5)+15

We can see that 5 is common to all the factors. This means that we can make 5 flowers if they were changed to 30 yellow hexagons 50 red trapezoids and 60 green triangles.

Since there are 40 trapezoids left and 15 green triangles left, hence the shape that would have n as left over most is trapezoid (40 left over)

7 0

3 years ago

For a segment of a radio show a disc jockey can play 10 records. If there are 12 records to select from in how many ways can the

sveta [45]

Answer:

<h2>66 different ways </h2>

Step-by-step explanation:

This is a combination question. Combination has to do with selection. For example if r objects are to be selected from n pool of oblects, this can be done in nCr number of ways.

nCr = n!/(n-r)r!

According to the question, if a radio show can only play 10 records out of 12 records available, this can be done in 12C10 number of ways.

12C10 = 12!/(12-10)!10!

= 12!/2!10!

= 12*11*10!/2*10!

= 12*11/2

= 6*11

= 66 different ways

7 0

3 years ago

A force of 50 pounds is exerted at an angle of 80 with the horizontal. What is its horizontal component?

Shalnov [3]

Answer:

Option A is the correct answer.

Explanation:

Any vector can be resolved in to two components. Horizontal component and vertical component.

Consider a vector F which is at angle θ⁰ to the horizontal, we can resolve this vector in to two.

Horizontal component = F cos θ

Vertical component = F sin θ

Here we have Force , F = 50 pounds

Angle with horizontal = 80°

Horizontal component = F cos θ = 50* cos 80 = 8.68 pounds

≅ 9 lb.

Option A is the correct answer.

6 0

3 years ago