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3 years ago

5

The stem-and-leaf plot. represents the number of flowers in different public gardens throughout the city. How many gardens have

at least 18 flowers, but fewer than 30 flowers.
Enter your answer in the box

1 5667788
2 1459
3 0056

1 answer:

zlopas [31]3 years ago

4 0

There are 6 numbers that are greater than or equal to 18 and less than 30.

6 gardens have 18-29 flowers.

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

10

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

What is the Median of this?

Alexeev081 [22]

First, sort the sumbers in order from the least value to the greatest value.

37, 45, 59, 67, 76, 68, 77, 78, 82, 82, 84, 84, 85, 85, 88, 90, 91, 91, 92, 92, 93, 95, 100, 100

There 24 scores listed. Divide 24 by 2 and you get 12.. Find the 12th number in the ordered list from the least value, which is the number 84. Find the 12th score in the ordered list from the large value, which is 85.
Because there are two central numbers, add the two central numbers and divide it by 2.

84+85=169
169/2=84.5

6 0

3 years ago

Read 2 more answers

Find 5x − 3y − z if x = −2, y = 2, and z = −3<br><br> −19<br> 19<br> 13<br> −13

Blababa [14]

5x - 3y - z
By hypothesis, x = -2, y = 2 and z = -3.

So you all need to do is replace each letter by its value and do the calculus:

5x - 3y - z = 5*(-2) - 3(2) - (-3)
= -10 - 6 + 3=
=-16 + 3
= -13

So when x = -2, y = 2 and z = -3
5x - 3y - z = -13 (answer d)

Hope this helps! :)

8 0

3 years ago

Brian and Cyril spend a certain amount of money from their money box each month to buy plants.

dimaraw [331]

I feel the answer is function 2 shows a greater rate of change because cyril spends 65 each month and brian spends 18 each month

8 0

3 years ago

ASAP can someone help me solve this problem

sveta [45]

Answer:

Step-by-step explanation:

x° + y° = 180°

2y° - 0.5x° = 180°

y° = 108°

x° = 72°

3 0

3 years ago