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3 years ago

7th grade math help me please :(.

Mathematics

1 answer:

Anettt [7]3 years ago

8 0

6a: 11x+9
6b: 5y+14
6c: -3c-10
6d: 15x+10y
6e: -2n+13n
6f: 5w-5z
6g: 19x+8y+9
6h: 11a+4b-5

hope this helps and is correct!!

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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

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3 years ago

A certain cuty has 2700 pets. of these pets 1/4 are cats 1\5 are dogs 1/10 are horses 1/9 are frogs 1/4 are fish and the rest ar

andriy [413]

1/5 are dogs.

1/5 x 2700 = 540

--------------------------------------------
Answer: There are 540 dogs.
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3 years ago

It took Alice 6 5/6 hours to drive to her grandparents' house for Thanksgiving. On the way home, she ran into traffic and it too

salantis [7]

Time taken to drive to her grandparents house = 6 5/6 hours

We convert this mixed into improper fraction, we get = 41/6 hours

Time taken to drive to her grandparents house = 41/6 hours

Time taken to drive back = 8 2/9 hours

We convert this mixed into improper fraction, we get = 74/9 hours

Time taken to drive back = 74/9 hours

Difference between the two = 74/9 - 41/6 = (148-123)/18 = 25/18 hours = 1 7/18 hours

Therefore it took 1 7/18 hours longer to drive back.

6 0

3 years ago

Please answer this question

elena-14-01-66 [18.8K]

The area of the base (six triangles with a base 15m and a height 7.5√3m):

$A_B=6\cdot\dfrac{1}{2}\cdot15\cdot7.5\sqrt3\approx585\ m^2$

The area of side walls (six triangles with a base 15m and a height 12m)

$A_W=6\cdot\dfrac{1}{2}\cdot15\cdot12=540\ m^2$

The surface area:

$A_B+A_W=585+540=1,125\ m^2$

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3 years ago

A bag contains 5 red marbles, 4 blue marbles and 6 green marbles. If three marbles

Nina [5.8K]

Answer:

The probability of drawing three red marbles is 1/27, or about 3.71%

Step-by-step explanation:

Add all the marbles:

5 + 4 + 6 = 15

Find favourable outcomes:

The probability for drawing a red marble is:

5/15 or 1/3

Multiply this ×3 to find the probability of drawing three red marbles.

1/3 × 1/3 × 1/3 = 1/27

1 ÷ 27 = 0.0370370370 ... repeating

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3 years ago