Write a division problem involving the division of a decimal by a whole number with an estimated quotient of 7.

GE = 3x + 12 and GH = 72. Find the value of x.

Furkat [3]

Answer: x=20

Step-by-step explanation:

5 0

3 years ago

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

2 years ago

A parallelogram has one angle that measures 118°. What are the measures of the other three angles in the parallelogram?

MariettaO [177]

Step-by-step explanation:

Given

We know that in a parallelogram opposite angles are equal. So 

1st and 3rd angles = 118°

Let 2nd and 4th angles = x

Now

118° + 118° + x + x = 360° ( Being sum of angles of parallelogram) 

236° + 2x = 360°

2x = 360° - 236°

2x = 124°

Therefore x = 62°

Now the measure of other all angles 

118° , 62° , 118°, 62°

3 0

2 years ago

A toy store’s percent of markup is 30%. A model train costs the store $50. Find the markup.

Over [174]

Answer: $15

Step-by-step explanation:

To find the markup price just multiply 30% by the amount.

30% * 50

0.3 * 50 = 15

4 0

2 years ago

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A number is doubled and then the product is increased by 6. This sum is then multiplied by -3, and the result is 54 greater than

34kurt

Answer:

-24

Step-by-step explanation:

Let the number be x

Then we have the equation

(2x + 6)*(-3) = -3x + 54
-6x - 18 = -3x + 54
6x - 3x = -18 - 54
3x = -72
x = -72/3
x = - 24

8 0

3 years ago

Read 2 more answers