36. Walter and Brian each have a CD collection.
The number of CDs in Walter's collection can be represented by x.
The number of CDs in Brian's collection is 3 times the number in
Walter's collection.
The total number of CDs in both collections is 144.
What is x, the number of CDs in Walter's collection?
A. 108
B. 48
C. 72
D. 36

Answer:

we know

perimeter of triangle = sum of all sides

here lengths of sides are consecutive integers so

length  of three sides = x, (x+1) and (x+2)

now

Perimeter = 111

or,  x + (x+1) + (x+2) = 111

or 3x + 3 = 111

or 3x = 108

x = 36

x = 36

(x+1) = 36 + 1 = 37

(x+2)= 36 + 2 = 38

Step-by-step explanation:

if if you put x equals to -5

it becomes -(-5)^2 which is equal to -25

Answer:

-25

Step-by-step explanation:

1) The equation is -(-5)^2

2) When you square a negative number, it will be a positive

3) So in this equation it would be -(25)

4) However, there's another negative sign in front.

5) So the answer therefore is -25

Hope this helps!

Answer:

y = 28 - b

Step-by-step explanation:

you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.

Answer:

u+xy=18+(-10)8

=18-80

= -62

Answer:

True.

Step-by-step explanation: If you substitute the solution into the original equation, it is the only number that will make the equation balanced or have an equal value on both sides of the equals sign.

Answer:

p =− 2

q = 5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

p =− 2

q = 5

Answer:

q = 5

p = -2

Step-by-step explanation:

I'm gonna use elimination

2p + 5q = 21  Multiply 3 ------> 6p +15q = 63

3p - 2q = -16  Multiply 2 -------> 6p -4q = -32

 6p +15q = 63

 6p -4q = -32                                                                                                                  -__________

19q = 95

q = 5

To find P use any of the equations and substitute q to 5

3p -2(5) = -16

3p -10 = -16

3p = -6

p = -2

Answer:

D = 8

Step-by-step explanation:

[tex]d= \sqrt{(5-(-3))^2+(-1-(-1))^2} \\d= \sqrt{(8)^2+(0)^2} \\d= \sqrt{64+0} \\d= \sqrt{64} \\d= 8[/tex]

Answer:

2x - 5 - x²

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 2x - 5 - x²

Answer:

Step-by-step explanation:

x + 9 = -16

Subtract 9 form both sides

x + 9 - 9 = - 16 - 9

x = -25

Answer:

X= -25

Step-by-step explanation:

Subtract 9 from both sides.

Answer:

N=7

Step-by-step explanation:

1. Distribute the 6 into the parentheses

6+30n-6n=174

2.combine like terms

6+24n=174

3. Subtract 6 on both sides

24n=168

4.now divide

24/24 cancels out 24/168 is what 7 soooo

n=7

Answer:

[tex]\sqrt{35}[/tex]

Step-by-step explanation:

h =-19

j =16

[tex]\sqrt{j-h} = ?[/tex]

Substitute values into the given equation

[tex]\sqrt{16-(-19)} \\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=\sqrt{16+19}\\\\\mathrm{Add\:the\:numbers:}\:16+19=35\\\\=\sqrt{35}[/tex]

Answer:

158 cm2

Step-by-step explanation:

surface area = (6×5)+2(8×5)+(8×6) = 158 cm2

Answer:

a) FC ←→ and BD ←→ are distinct lines that intersect.

b) B , C and D are distinct points that are collinear.

c) Another name for plane [tex]X[/tex] is plane AEF.

d) E , A , F and C are distinct points that are coplanar.  

Step-by-step explanation:

The first step to solve this question is to look carefully at the picture.

For a) :

We can see that the line FC and the line BD intersect at the point C.

We can write :

a) FC ←→ and BD ←→ are distinct lines that intersect (we can see more lines that intersect with FC ←→ in the picture such as AC ←→  or AE ←→).

For b) :

We can see that the line BD ←→ passes through the points B , C and D (B , C and D are collinear points).  

We can write :

b) B , C and D are distinct points that are collinear.

For c) :

We can name any plane using three points which are contain in the plane but this three points must not be collinear points.

We can name the plane [tex]X[/tex] using the points A , E and F (this is a possible solution).

We can write :

c) Another name for plane [tex]X[/tex] is plane AEF.

Finally, for d) :

Two or more points are coplanar wherever they belong to the same plane.

In the picture, the points A , E , F and C belong to the plane [tex]X[/tex].

We can write :

d) E , A , F and C are distinct points that are coplanar.

Answer:

5 degrees below zero = -5 degrees

Answer:

2

Step-by-step explanation:

1+3(x-1)-2x

Substitute the value of x into the equation:

1 + 3(4-1) -2 (4)

1 + 3(3)- 8

1 + 9 - 8

2

Answer:

-3(4a+3)+4(6x+1)

12a+(-9)+24x+5

12a-4+24x

Step-by-step explanation:

Because you can't add 12a & 24x bc they're different variables ( a & x ) & -9+5 you always minus it and it's going to be a negative because -9 is bigger than 5

Answer: x=0

Step-by-step explanation:

(you are trying to find x)

4+10=-2(8x-7)

2+5=(8x+7)

7=(8x+7)

0=8x

x=0

Pls rate this brainliest

(6g^4h^5)^2. We have to square each term individually. Remember, squaring an exponent is just multiplying the exponents together.

6^2 = 36

(g^4)^2 = g^8

(h^5)^2= h^10

The final answer: 36g^8h^10

Answer:

 3=f

Step-by-step explanation:

3(6-f)-4=3f-4

18- 3f=3f-4

14-3f=3f-4

14=6f-4

18=6f

3=f

Answer:

f=3

Step-by-step explanation:

f(1)= 5(1)-1

f(1)= 5-1

f(1)= 4

Answer: 4

Answer:x=0

Step-by-step explanation:

Answer:

0 = 0

True

Step-by-step explanation:

[tex]8 + 4x = 2x + 8 + 2x[/tex]

Collect like terms

[tex]8-8 =2x+2x -4x\\[/tex]

Simplify

[tex]8-8 =0\\2x+2x =4x\\4x -4x =0\\\\0=0[/tex]

Since A is the midpoint of BC, we can assume BA and AC are equal to each other.

We also know that BC = BA + AC = 23 + 23 = 46

Answer:

n= 98/3

Step-by-step explanation:

1. Complete distributive property *5(n-14)* and *2(n+14)*

5n-70=2n+28

2. Subtract 5n from both sides

-70=-3n+28

3. Subtract -70 from both sides

-98=-3n

4. Divide the variable from both sides *-3n*

-98/-3

5. Simplify

98/3

Final Answer:

98/3

Answer:

Domain is All Real x.

Range is f(x) ≥ 2.

Step-by-step explanation:

The vertical lines about the x - 1 means the Absolute value ( always positive).

|x - 1| will always be positive or 0 and it's graph is  shaped like a V with the vertex at (1, 0)

The + 2 will move the graph up 2 units so the vertex becomes (1, 2).

Step-by-step explanation:

By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.

This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.

So z = 3.2 (1 d.p.)

Step-by-step explanation:

x=4.2

y=2.7

z=x

(×+y=×

(4.2+2.7=×)

×=6.9

Answer:

1.5<x<4 i hope this is right sorry if its not

Step-by-step explanation:

Answer:

b

Step-by-step explanation: