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2 years ago

A garden is 30 feet long. A row of beans is planted every 15 inches. How many rows of beans are in the garden?

Mathematics

1 answer:

prisoha [69]2 years ago

3 0

The number of rows of beans that are in the garden is 24 rows.

<h3>How many rows of beans are in the garden?</h3>

The first step is to convert feet to inches.

1 feet = 12 inches

30 x 12 = 360 inches

The second step is to divide 360 inches by 15 inches: 360 / 15 = 24 rows

To learn more about division, please check: brainly.com/question/194007

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What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

3 years ago

Alternate interior angels are____

Yuki888 [10]

Congruent. In other words, the angle on the inside- if that makes sense

3 0

3 years ago

PLEASEEEE HELP THANK YOU!!!

Temka [501]

Answer:

- 4 < x ≤ 7

Step-by-step explanation:

Given

- 10 ≤ - 5x + 25 < 45 ( subtract 25 from all 3 intervals )

- 35 ≤ - 5x < 20

Divide all 3 intervals by - 5, reversing the inequality signs as a consequence.

7 ≥ x > - 4

Hence - 4 < x ≤ 7

6 0

3 years ago

If f(x)= 9+3x, find f(-2)

tamaranim1 [39]

Answer:

f(-2) =3

Step-by-step explanation:

f(x) = 9+3x

Let x=-2

f(-2) = 9+3(-2)

= 9-6

= 3

8 0

3 years ago

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An airplane flies 80 km in 10 minutes and then flies 100 km in 20 minutes what is the average speed

Eddi Din [679]

The average speed = (speed 1 + speed 2)/2
the average speed = (80/10 + 100/20)/2
the average speed = (8 + 5)/2
the average speed = 13/2
the average speed = 6.5 km/minute

8 0

3 years ago