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3 years ago

Consider Akelia’s sequence 5, 8, 11, 14, 17, ….

Mathematics

1 answer:

bonufazy [111]3 years ago

5 0

Answer:

It would be 20

Step-by-step explanation:

As we can see, the sequence starts from 5 and increases by three each time. In fact, one possible formula for that sequence could be:

$a_n=3n+2\hspace{10}n\in N$

Let's confirm the formula by evaluating the first 6 terms:

$a_1=3(1)+2=3+2=5\\a_2=3(2)+2=6+2=8\\a_3=3(3)+2=9+2=11\\a_4=3(4)+2=12+2=14\\a_5=3(5)+2=15+2=17\\a_6=3(6)+2=18+2=20$

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HELP PLEASE I NEED HELP ON THIS PROBLEM "Three more than 8 times a number is -39.Find the number.

mr_godi [17]

8x + 3 = -39
8x + 3 -3 = -39 - 3
8x = -42
8x/8 = -42/8
x = -5.25

7 0

3 years ago

Emma has 18 yellow flowers and 30 white flowers. She wants to split them into vases in equal groups. What is the largest number

likoan [24]

Answer:

Flowers, yellow flowers, white flowers, group, GCF

For this case we have 18 yellow flowers and 30 white flowers, we must find a number that represents the largest number of groups of flowers that can be formed, bearing in mind that each group must contain the same number of yellow and white flowers. To do this, we must find the GCF (Greatest Common Factor) of yellow flowers and white flowers.

We look for the factors of 18, that is, the numbers for which 18 is divisible, these are:

18, 9, 6, 3, 2 and 1

We look for the factors of 30, that is, the numbers for which 30 is divisible, these are:

30, 15, 10, 6, 5, 3, 2, 1

Thus, we can see that GCF of both numbers is 6.

Then we can form 6 groups of flowers. To know the amount of flowers of each color in each group, we divide:

Thus, 6 groups of flowers can be formed with 3 yellow flowers and 5 white flowers each.

Answer:

The largest number of groups that can be done is 6.

Read more on Brainly.com - brainly.com/question/950582#readmore

Step-by-step explanation:

4 0

3 years ago

Help asap help please.

Xelga [282]

Answer:

30(x+1)/(x+7)

Step-by-step explanation:

This is not a rational expression because denominator has a domain of which it can be undefined.

To rationalize multiply by the reciprocal of the denominator (1/6+1/x+1)

___5___ *(6)(x+1) --> _____30(x+1)_____ --> 30x+1_ --> 30x+1

1/6+1/x+1 *(6)(x+1)--> 6(x+1)/6 + 6(x+1)/(x+1) --> (x+1)+6 --> x+7

Final Answer: 30(x+1)/(x+7)

7 0

3 years ago

Which expression is equivalent to the following expression 3+13+3+13+3+13 : a) 3(13) b) 3(3+13) c)3×13 d) 3(3×13)

Alex Ar [27]

Answer:

The answer is B

Step-by-step explanation:

3+3+3+13+13+13

This is 3 times 3

This is also 3 times 13

Which would be 3(3+13)

8 0

3 years ago

When x = 5, the value of the expression –2(x – 10) is

nikitadnepr [17]

Answer:

The value of the expression at x=5 is 10

Step-by-step explanation:

The given expression is $-2(x-10)$

Let us simplify this expression.

Distribute -2 over the parentheses, we get

$-2x+20$

Now, substitute x = 5, we get

$-2(5)+20$

On simplifying, we get

$-10+20\\=10$

The value of the expression at x=5 is 10

8 0

3 years ago

Read 2 more answers