All categories

3 years ago

In how many ways can 3 novels, 2 mathematics books, and 1 chemistry book be arranged on a bookshelf if

1 answer:

4 0

The 3 novels should be arranged in one side of the shelf.
The 2 mathematics books should be arranged in the other side of the shelf.
The 1 chemistry book should be arranged with the mathematics shelf because they are both study topics

You might be interested in

‼️‼️solve by substitution {2p-3r=6

Anestetic [448]

Answer:

#7: (p, r) = (0, -2) #8: (z,w) = z, $\frac{8}{3}$ + $\frac{4}{3}$ z), ∈R #9: (c,d) = (3,3) #10: (u,x) ∈∅ #11: (a,b) = (-1, 2) #12:

Step-by-step explanation:

Solve for 2p

2p - 3r = 6

2p = -6 -3r

substitute the given value of 2p into equation 2p - 3r = 6

-6 - 3r - 3r = 6

solve for r

r= -2

substitute value of r in equation

2p = -6 - 3x (-2)

solve for p

p=0

solution is ordered pair (p,r) = (0, -2)

Solve for w

w= $\frac{8}{3}$ + $\frac{4}{3}$ z

substitute the given value of w into equation

6 ( $\frac{8}{3}$ + $\frac{4}{3}$ z) - 8z = 16

solve for z

z ∈ R

The statement is true for any value of z and w that satisfy both equations from the system. Therefore, the solution is in parametric form.

(z,w) = z, $\frac{8}{3}$ + $\frac{4}{3}$ z)

Solve for c

c + d = 6

c = d

substitute the given value of c into equation c + d = 6

d + d = 6

solve for d

d=3

substitute value of d in equation

c=3

solution is ordered pair (c,d) = (3,3)

#10

Solve for u

u= 3-2x

substitute the given value of c into equation

2 (3-2x) +4x = -6

solve for x

x ∈∅

Since the system has no solution for x the answer is

(u,x) ∈∅

#11

Solve for b

b= 5+3a

substitute the value of b into equation

3a + 5 + 3a+ b = -1

solve for a

a= -1

substitute the value of a into equation

b= 5 + 3x (-1)

solve for b

b=2

solution is ordered pair (a, b) = (-1, 2)

6 0

3 years ago

Eliminate the parameter,t, in the parametric equation, x=6cos t, and y =3 sin t

german

X = 6 cos(t)
y = 3 sin(t)

we can rewrite these equations as:

$\frac{x}{6}=cost(t) \\ \\ \frac{y}{3} =sin(t)$

Taking squares of both equations we get:

$( \frac{x}{6})^{2}=sin^{2} (t) \\ \\ 
( \frac{y}{3})^{2}=cos^{2}(t)$

Adding both the equations, we get:

$\frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=sin^{2}(t)+cos^{2}(t) \\ \\ 
 \frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=1$

6 0

3 years ago

Which fractions are equivalent to the following?

LiRa [457]

It would be B. if that helps

5 0

3 years ago

Read 2 more answers

What has happened when a basic drink of water has to come from a designer bottle and be from the purest water source?

Lapatulllka [165]

A need has become a want

3 0