What what is 4/18 closest to

Mathematics

1 answer:

jeyben [28]3 years ago

5 0

Simplified, its 2/9. If you mean on a number line,its 5/18 or 3/18.

You might be interested in

Find an equation of the tangent line to the curve x^2+2xy+4y^2=12 at the point (2,1)

ohaa [14]

We have that
x²+2xy+4y²=12

we know that
A better way to do this problem is using what is called “Implicit Differentiation
so
step 1
Differentiate both sides of the equation using the Chain Rule
x²+2xy+4y²=12-------> 2x+2y+2xy1+8yy1=0
2xy1+8yy1=-2x-2y--------> y1*[2x+8y]=-2x-2y
y1=(-2x-2y)/(2x+8y)
for the point (2,1)
y1=(-2*2-2*1)/(2*2+8*1)-------> y1=-6/12------> y1=-1/2

step 2
find the equation of the tangent line with m=-1/2 and the point (2,1)
y-y0=m*(x-x0)------> y-1=(-1/2)*(x-2)-----> y-1=(-1/2)x+1
y=(-1/2)x+2

the answer is
y=(-1/2)x+2

using a graph tool
see the attached figure

4 0

3 years ago

The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh

konstantin123 [22]

Answer:

33 copies were paperback and 12 were hardcover.

Step-by-step explanation:

Let h represent the number of hardcover copies and p represent the number of paperback copies.

We know that the total number of copies was 45; this gives us the equation

h+p = 45

We know that each hardcover copy is 7 ounces; this gives us the expression 7h.

We also know that each paperback copy is 5 ounces; this gives us the expression 5p.

We know that the total weight was 249 ounces; this gives us the equation

7h+5p = 249

Together we have the system

$\left \{ {{h+p=45} \atop {7h+5p=249}} \right.$

We will use elimination to solve this. First we will make the coefficients of the variable p the same; to do this, we will multiply the top equation by 5:

$\left \{ {{5(h+p=45)} \atop {7h+5p=249}} \right. \\\\\left \{ {{5h+5p=225} \atop {7h+5p=249}} \right.$