Are 3x + 5 and 2x + 15 + x - 5 equivalent? Explain how you know.

Answer:

Assumed the base is a square

Find the height:

Find the side of base:

Find volume:

Find the surface area:

Answer:

the height of pyramid

tan 42°=h/ DO

h=6 tan 42° = 5.4 units

the side of base a = 2DO/√2 = √2DO = 6√2 = 8.5 units

volume= V = a?h/3 = 8.52(5.4)/3 = 130.1 units

surface area{S }= a + 4×1/2×a/(a/2)² + h² =

8.5²+ 2*8.5 √((8.5/2)² + 5.4²)= 189.7 unit²

Answer:

odancLo mismo estoy bus

Step-by-step explanation:

Simplifying

4(x + 2) = 28

Reorder the terms:

4(2 + x) = 28

(2 * 4 + x * 4) = 28

(8 + 4x) = 28

Solving

8 + 4x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 4x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 4x = 28 + -8

4x = 28 + -8

Combine like terms: 28 + -8 = 20

4x = 20

Divide each side by '4'.

x = 5

Simplifying

x = 5

Simplifying

2(x + 4) = 28

Reorder the terms:

2(4 + x) = 28

(4 * 2 + x * 2) = 28

(8 + 2x) = 28

Solving

8 + 2x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 2x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 2x = 28 + -8

2x = 28 + -8

Combine like terms: 28 + -8 = 20

2x = 20

Divide each side by '2'.

x = 10

Simplifying

x = 10

Answer:

6

Step-by-step explanation:

24/4=6

Answer:

6 inches

Step-by-step explanation:

4x=24

x=24/4

x=6

Hence, each side is 6 inches

Answer:

-2 -1,1, and 2 only

Step-by-step explanation:

Answer

A) 4b+11   B) To evaluate the expression make sure you give the value of B because in order to simplify you need to find out the answer to b to then evaluate

Step-by-step explanation:

Part A

8b+8-4b+3

8b-4b+8+3

4b+11

Answer:

4b+11

Step-by-step explanation:

8b + 8 - 4b + 3

8b + 8 - 4b + 3

4b+8+3

4b+8+3

4b+11

Answer:

13.5 and 2.76

Step-by-step explanation:

Answer:

7 x (3c)

Step-by-step explanation:

Answer:

d. 7+3c

Step-by-step explanation:

3xc first bc pemdas, then add 7

Answer:

it is 8 hours................

Answer:

takes you 8 hours

Step-by-step explanation:

Answer:

B = 155°, C = 25°, D = 155°

Step-by-step explanation:

Assuming you require B, C, D

A and B are adjacent angles and are supplementary , that is

A + B = 180°

25° + B = 180° ( subtract 25° from both sides )

B = 155°

A and C are vertically opposite angles and are congruent, then

C = 25°

B and D are vertically opposite angles and are congruent , then

D = 155°

Answer:

use ph0t03ath or m4th3ay

Answer:

8y(7x^3-4x+2)

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

I know it is

Answer:

60

Step-by-step explanation:

5 percent (calculated percentage %) of what number equals 3? Answer: 60.

Step-by-step explanation:

✰ [tex] \underline{ \underline{ \large{ \tt{ \:T \:O \: \: F \: I \: N \: D}}} }: [/tex]

✰ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O\: N}}}} : [/tex]

Basically there are two ways to find out the value of y. I'm gonna show you the both ways.

First one :

[tex] \large{ \tt{x + 25 \degree + 35 \degree = 180 \degree}} \text{(Sum \: of \: angles \: of \: a \: triangle)}[/tex]

⇾ [tex] \large{ \tt{x + 60 \degree = 180 \degree}}[/tex]

⇾ [tex] \large{ \tt{x = 180 \degree - 60 \degree}}[/tex]

⇾ [tex] \large{ \tt{x = 120 \degree}}[/tex]

[tex] \large{ \tt{x + y = 180 \degree}} \text{(Sum \: of \: angle \: in \: a \: straight \: line})[/tex]

⤑ [tex] \large{ \tt{120 \degree + y = 180 \degree}}[/tex]

⤑ [tex] \large{ \tt{y = 180 \degree - 120 \degree}}[/tex]

⤑ [tex] \boxed{ \large{ \tt{y = 60 \degree}}}[/tex]

Another way :

[tex] \large{ \tt{y = 35 \degree + 25 \degree}} [/tex] ( Exterior angle is equal to the sum of two non - adjacent interior angles )

↦ [tex] \boxed{ \large{ \tt{y = 60 \degree}}}[/tex]

➝ [tex] \large{ \boxed{ \boxed{ \tt{Our \: Final \: Answer : \underline{y = 60 \degree}}}}}[/tex]

⋆ Hope I helped ! ⋆

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding the answer ! ツ

♡ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

12 for length, 6 for width

Step-by-step explanation:

Trust me its right

Answer:

12 for length 6 for width (:

Step-by-step explanation:

Answer:

Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288

Step-by-step explanation:

P.S - The exact question is -

Given - A shipment of 12 television sets contains 3 defective  sets.

To find - In how many ways can a hotel purchase  5 of these sets and receive at least 2 of the defective  sets?

Proof -

We know that The combination of n distinct objects taken k at a time is

[tex]^{n} C_{k} = \frac{n!}{k! (n-k)!}[/tex]

Now,

The number of ways hotel can receive 2 defective sets among 5 that can be purchased is

[tex]^{9} C_{3} * ^{3}C_{2} = \frac{9!}{3! (9-3)!} \frac{3!}{2! (3-2)!}[/tex]

⇒[tex]^{9} C_{3} * ^{3}C_{2}[/tex] = 84(3) = 252

Now,

The number of ways that hotel receives 3 defective sets among 5 that are purchased is

[tex]^{9} C_{2} * ^{3}C_{3} = \frac{9!}{2! (9-2)!} \frac{3!}{3! (3-3)!}[/tex]

⇒[tex]^{9} C_{2} * ^{3}C_{3}[/tex] = 36(1) = 36

Now,

Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 252 + 36 = 288

⇒Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288

Answer:

3(x-1)(x+2)

Step-by-step explanation:

i dont know if this what u looking for but i think:

3(x-1)(x+2)

Answer:

Triangle A and Triangle B

Answer:

$40.19

Step-by-step explanation:

50 - 0.2(50) = 50 - 10 = 40 - 0.05(40) = 40 - 2 = 38 * 1.0575 = 40.185 = $40.19

Answer:

C

Step-by-step explanation:

Answer:

it is the third one

Step-by-step explanation:

i hope it works

Answer:

Step-by-step explanation:

a solution is where both of the lines meet.  or they have the same point on each line. so you can set the equation of each line equal to the other.

for this  "solution" just look at the graph and see where the two lines meet.. and find the x coordinate of that point.

I see it meeting at x =2     get it?

Answer:

Twenty cookies deal

Step-by-step explanation:

A dozen cookies cost 18.75. A dozen is exactly 12. If you divide 18.75 by 12 you should get the unit price which is about $1.56 for each cookie. For 25.50 you just divide it by 20 and you should get about 1.20 which makes it a better deal.

Answer:

y = -2x + 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

recall   the two formulas

y = mx - b            slope-intercept

y - y1 = m(x-x1)     point-slope

with these  we can get the equation .  we also need to find the slope  m

m =  y2-y1 / x2-x1

m = 3 - (-1) / 2-4

m = 3 + 1 / -2

m = 4 / -2

m = -2

now with the slope known,  plug in either point into the point-slope formula and work to the slope-intercept formula, I'll use (2,3)  as the point to plug in.

y - 3 = -2(x-2)

y - 3 = -2x +4

y = -2x + 7

there.. that's your answer

y = -2x + 7  

Answer:

The answer is 25 feet.

Step-by-step explanation:

You have to apply Pythagoras Theorem :

[tex] {c}^{2} = {15}^{2} + {20}^{2} [/tex]

[tex] {c}^{2} = 625[/tex]

[tex]c = \sqrt{625} [/tex]

[tex]c = 25 \: feet[/tex]

Answer:

25 square units

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

since this is a square the area is 25

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

Perhaps you want to solve for x the rational equation ...

  (2+5x)/(3x) = (7x -18 +2x)/(3x)

Multiplying by 3x and collecting terms, we have ...

  2 +5x = 9x -18

  20 = 4x . . . . . . add 18-5x to both sides

  5 = x . . . . . . . . divide both sides by 4

The solution is x=5.