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3 years ago

How many positive integers less than 60 have an even number of positive divisors?

Mathematics

2 answers:

saul85 [17]3 years ago

8 0

Answer:

There are 52 such numbers that have even divisors.

Step-by-step explanation:

All the numbers between 2 and 59 have an EVEN number of positive divisors.

Except the Perfect Squares..

or 4, 9, 16, 25, 36 and 49, which have 3 divisors each.

So:

59 - 2 + 1 =58

Now subtract 58 from 6 (perfect squares)

58- 6=52

Therefore,it means that there are 52 such numbers that have EVEN divisors....

Pie3 years ago

3 0

Answer:

Step-by-step explanation:

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M=-4/3, point (0,-12)

postnew [5]

Y - y1 = m(x - x1)
slope(m) = -4/3
(0,-12)....x1 = 0 and y1 = -12
sub
y - (-12) = -4/3(x - 0) =
y + 12 = -4/3(x - 0) <=== point slope form

y + 12 = -4/3x
y = -4/3x - 12 <=== slope intercept form

y = -4/3x - 12
4/3x + y = -12
4x + 3y = -36 <=== standard form

3 0

3 years ago

Jacob rolls two fair number cubes. The faces of the number cubes are labeled 1 through 6. If Jacob rolls the number cubes at the

sweet-ann [11.9K]

Answer:

(1,1), (1,2), (2,1), (2,2)

Step-by-step explanation:

8 0

3 years ago

What is the slope of the line x + 6y= 12

Lubov Fominskaja [6]

x + 6y = 12

You want the y-value to be on one side of the equation, so you have to subtract the x-value from both sides.

6y = -x + 12

Next, you divide both sides by 6, so that the y-value will be by itself.

y = - $\frac{1}{6}$ + 2

We know that the slope or the 'm' value is located before the x-value based on y = mx +b, therefore the slope is - $\frac{1}{6}$

5 0

3 years ago

Kai had a gross weekly paycheck of $616 last week. Kai worked 6 hours for 4 of the days and 8 hours on 1 day. What is Kai's hour

gizmo_the_mogwai [7]

The correct answer is B. $ 19.25

Explanation:

To calculate the hourly rate of pay, first, let's calculate the total number of hours Kai worked, and then divide the total earned into the number of hours.

6 hours x 4 days = 24 hours

8 hours x 1 day = 8 hours

24 hours + 8 hours = 32 hours

This shows Kai worked a total of 32 hours. Now to find the hourly rate of pay, follow this procedure:

$616 (total earned) ÷ 32 hours = $19.25 each hour

This means Kai earns $19.25 for each hour of work and therefore the hourly rate of pay is $19.25.

4 0

3 years ago

Read 2 more answers

In the blueprint for A rectangular balcony is 1 inch by 1.75 inches if the actual length is 7 feet what is the perimeter

Elenna [48]

Answer:

22 feet

Step-by-step explanation:

Given

In blue print,dimensions of rectangular balcony are, length(l)=1.75inch and breadth(b)=1inch
The actual length(L)=7 feet

To find the actual perimeter, we need the breadth of balcony(B)

The ratio of length to breadth in blue print must be equal to the ratio of actual length to breadth

⇒

$\frac{\text{length of rectangular balcony in blueprint}}{\text{breadth of rectangular balcony in blueprint}} =\frac{\text{length of rectangular balcony actually}}{\text{breadth of rectangular balcony actually}}$

$\frac{l}{b} =\frac{L}{B} \\B\times l=L \times b\\B= \frac{L \times b}{l}=\frac{7 \times 1}{1.75} =4$

Therefore Breadth actually=4 feet

⇒Perimeter

$=2\times(length+breadth)\\=2\times(7+4)\\=2\times(11)\\=22$

Therefore perimeter of rectangular balcony= 22 feet

5 0

4 years ago