All categories

3 years ago

Nathan read 2 books in 10 months. What was his rate of reading in books per month

Mathematics

1 answer:

Novay_Z [31]3 years ago

4 0

<h2>Answer:</h2><h2>The rate of reading a book per month = $\frac{1}{5}$ = 20%</h2>

Step-by-step explanation:

Nathan read 2 books in 10 months.

The time taken to complete 1 book = $\frac{10}{2}$ = 5 months

To complete 1 book it takes 5 months.

The rate of reading a book per month = $\frac{1}{5}$ = 20%

You might be interested in

Formula of perimeter and area

OverLord2011 [107]

Answer:

Perimeter: 4 * s

Area: S 2

Diagonal: s 2 \sqrt {2} 2

Area of square when diagonal is given = 1 2 × d 2 \frac {1} {2}\times d^ {2} 21 × d2

Step-by-step explanation:

5 0

1 year ago

Read 2 more answers

Write the equation of the line in point-slope form that passes through (5, -1) and has a slope of 2/3

kolezko [41]

Answer:

y-(-1)=2/3(x-5)

Step-by-step explanation:

Point slope form is

y-y_1=m(x-x_1) where m is the slope, x_1 is the x coordinate of a point that the line passes through, and y_1 is the y coordinate of a point the line passes through.

Substituting, we get

y-(-1)=2/3(x-5)

5 0

2 years ago

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

2 years ago

Help! Is it parallel, perpendicular, or neither? Thanks *ignore handwriting*

Digiron [165]

These lines are perpendicular!
y = x
y = -x–2
The slopes are reciprocals of each other, so they are perpendicular.

7 0

2 years ago

Read 2 more answers

Help me pleaseeeeeeeeeeede

nekit [7.7K]

What does the spaces in between the numbers mean

6 0

2 years ago