All categories

3 years ago

If the average of x, y, and z is 32 and the average of y and z is 27, what is the average of x and 2x?

1 answer:

6 0

X + y + z = 32 * 3
27 + 27 + x = 96
X = 54
2x = 108
Average of x and 2x = (54+108) / 2 = 164 / 2 = 82
Average of X and 2X = 82

You might be interested in

(Unitary Method)

Sati [7]

Given :-

12 workers can do a piece of work in 20 days .

To Find :-

How many workers should be added to complete the work in 16 days ?

Solution :-

According to the question ,

→ In 20days 12 workers can do a piece of work.

→ In 1day 12*20 workers can do that work

( Less days , more workers )

→ In 16 days 12*20/16 = 15 workers can do the work.

So 15 -12 = 3 workers should be added to complete the work.

Hence the required answer is 3 .

I hope this helps.

7 0

3 years ago

A girl has 3 different swimsuits, 4 different shorts and 3 different pairs of flip-flops. In how many different ways can this gi

In-s [12.5K]

Answer:

Option D is the correct answer.

Explanation:

A girl has 3 different swimsuits, 4 different shorts and 3 different pairs of flip-flops.

Different ways can this girl wear a swimsuit, a pair of short and a pair of flip-flops = 3P₁ x 4P₁ x 3P₁

= 3 x 4 x 3

= 36

Different ways can this girl wear a swimsuit, a pair of short and a pair of flip-flops = 36

Option D is the correct answer.

4 0

3 years ago

3 1 - 2.6 ________ 0.05

olya-2409 [2.1K]

Work:

$\frac{31 - 2.6}{0.05}$

$\frac{28.4}{0.05}$

Answer:

$567. \frac{}{9}$

6 0

3 years ago

Please answer soon I need this answer very quickly for math. Thank you!

Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

$a_n=4n+5$

1. First 5 terms:

For first 5 terms, we have to put n=1,2,...5,

So,

$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

2. Sum of first 25 terms:

For that we have to find 25th term first

$a_{25} = 4(25)+5\\=100+5\\=105$

The formula for sum is:

$S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425$

3. Type of sequence

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

$d=4$

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

4 years ago

It takes Kayla 12 minutes to walk from her house to her grandparents' house. She walks to and from their house twice a week. Abo

Natalija [7]

12 plus 12 (walk to and from her grandparents) times 2 (two times a week she goes) equals 48. So, she spends 48 minutes walking between the two houses.

5 0

4 years ago

Read 2 more answers