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3 years ago

Which gives 28 + 24 as a product of the GCF and a sum?

Mathematics

1 answer:

VashaNatasha [74]3 years ago

7 0

Answer:

b. 4 (7 + 6)

Step-by-step explanation:

Finding the GCF between 28 and 24:

We keep dividing while both numbers can be divided by the same factor. So

28 - 24|2

14 - 12|2

7 - 6

There is no number for which 7 and 6 are both divisible by, so the GCF between 28 and 24 is 4.

Simplifying in function of the GCF:

Now, we put 4 in evidence, and divide the rest of the expression by 4. So

$28 + 24 = 4(\frac{28}{4} + \frac{24}{4}) = 4(7 + 6)$

The answer is given by option b.

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If you roll two fair dice repeatedly, what is the probability that you will get a sum of 4 before you get a sum of 5 ? (a) (b) (

AlexFokin [52]

Answer:

The probability that you will get a sum of 4 before you get a sum of 5 is $\frac{1}{12}$

Step-by-step explanation:

Given : If you roll two fair dice repeatedly.

To find : What is the probability that you will get a sum of 4 before you get a sum of 5 ?

Solution :

When two dice are rolled the outcomes are

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Total number of outcomes = 36

Favorable outcome get a sum of 4 before you get a sum of 5 is (1,3) ,(2,2) and (3,1) = 3

The probability that you will get a sum of 4 before you get a sum of 5 is

$P=\frac{3}{36}$

$P=\frac{1}{12}$

Therefore, The probability that you will get a sum of 4 before you get a sum of 5 is $\frac{1}{12}$

5 0

3 years ago

A company that manufactures toy trains is making a new boxcar. To fit on the track, the smallest dimension of the toy boxcar mus

pochemuha

Answer:

Length = 12 inches, height = 3 inches

Step-by-step explanation:

First, you have to set up a proportion. 2/7, x/42.

Then, you cross multiply and get the setup of 84=7x

Finally, you divide 84 by 7 and get 12.

12 is the length, and there is no other answer that has 12 in the height. You could just do the same proportion to get 3, though.

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3 years ago

Read 2 more answers

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Snezhnost [94]

Point A is at (-5.1 , 3.3)

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3 years ago

Gideon is painting all sides of a square pyramid-shaped decoration at the top of his fence post. A net of the decoration is show

frez [133]

Gideon is painting all sides thus we find the overall area of the square pyramid given in the picture. A square pyramid is a polyhedron that consists of a square and 4 triangles. To solve the area that Gideon will have to paint, we can calculate the area of the square and the area of the triangles then add these two values of area. We proceed as follows:
Area of the square = s^2 where s is the measure of the side
Area of the square = 4^2 = 16 in^2

Area of the triangle= 1/2 bh where b is the base of the triangle and h is height of the triangle
Area of the triangle = 1/2 (4) (5) = 10 in^2
We multiply the area of the triangle to four in order to obtain the total area of the triangles.
Total area of the triangles = 4 x 10 = 40 in^2

We then add the two areas,
Total Area = 16 + 40 = 56 in^2

Thus the total area that Gideon will have to paint for one square pyramid is 56 in^2.

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3 years ago

Simplify the product using a table.

bearhunter [10]

The answer is b

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3 years ago