All categories

3 years ago

PLEASE HELP, I NEED THE ANSWERS ASAP, I WILL AWARD BRAINLIEST!

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

Answer:

1. The larger number is 2x + 7. The smaller number is x.

Let x be the smaller number

(7 + 2x) + x = 43

Since they are all in addition, we can get rid of the parenthesis.

7 + 2x + x = 43

2x and x are similar variables, we can add them both together.

7 + 3x = 43

7 + (-7) + 3x = 43 + (-7)

3x = 36

3x/3 = 36/3

x = 12

Let's check

[7 + 2(12)] + 12

(7 + 24) + 12

31 + 12 = 43

You might be interested in

Lemaitre (based on Hubble's observations) was the first to suggest the _____.

Molodets [167]

Universe exploded into existence

6 0

3 years ago

Read 2 more answers

Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create

anastassius [24]

Pattern is the rule that guides the formation of a set.

The sequence of the first five mosaics is 5, 8, 11, 14, 17
The sequence is arithmetic
There are 32 tiles in the tenth mosaic.

From the given design, the number of tiles used is:

$T_1 = 5$

$T_2 = 8$

$T_3 = 11$

(a) The first five

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

$T_4 = T_3 + 3 = 11 +3 = 14$

$T_5 = T_4 + 3 = 14 +3 = 17$

So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

(b) The type of sequence

The sequence is arithmetic

This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

(c) The number of tiles in the tenth mosaic

The nth term of an arithmetic sequence is:

$T_n = T_1 + (n - 1) \times d$

In this case:

$T_1 = 5$

$d =3$

$n = 10$

So, we have:

$T_{10} = 5 + (10 - 1) \times 3$

$T_{10} = 5 + 9 \times 3$

$T_{10} = 5 + 27$

$T_{10} = 32$

There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0

3 years ago

4. Write an equation that represents the line graphed below. CCP

AlekseyPX

Represents the line graphed

7 0

3 years ago

Read 2 more answers

What is the value of x

Amiraneli [1.4K]

Answer:

x = 37.53

Step-by-step explanation:

Tan theta = opposite/adjacent

tan 47 = x /35

Multiply each side by 35

35 tan 47 = x/ 35 * 35

35 tan 47 = x

37.53290485=x

To two decimal places

x = 37.53

7 0

3 years ago

What is the perimeter of a square if one side is 2 one side is 5 one side is 3 and the last side is 3

Usimov [2.4K]

Answer:

If you just add them together you get 13

Step-by-step explanation:

7 0

3 years ago