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3 years ago

The data below represents the number of hours a group of students volunteered at a local soup kitchen.

Mathematics

1 answer:

irina [24]3 years ago

8 0

Answer:god

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

sashaice [31]

Answer:

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 an algebraic expression for the product of a number and 17? *

Nookie1986 [14]

Answer:

Step-by-step explanation

Since it says and that can mean add 17.

The product of a number is a number that was multiplied. So 30 is a product of 5 and 6.

So maybe the answer might be

x+17

7 0

3 years ago

These temperatures were recorded in International Falls, Minnesota, on four consecutive days: day 1: -10°F day 2: -13°F day 3: -

Gwar [14]

day 2 is your answer

5 0

3 years ago

1. Which diagram shows the construction of a 45° angle

Anni [7]

Answer:

The answer is A.

Step-by-step explanation:

I pirnt the picture out and grabbed a ruler and started looking for the answer and If you look at A. with a ruler you can tell that it is a 45° angle.

5 0

3 years ago

The variables y and x have a proportional relationship, and y = 25 when x = 60.

jeka94

Answer:

Step-by-step explanation:

A. x = 25

4 0

3 years ago

Read 2 more answers