All categories

3 years ago

Which pair of expressions are equivalent?

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

4 0

Answer:

second one

Step-by-step explanation:

Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2

So it will be 2x+18y

2*9=18

You might be interested in

For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at door in ad

Talja [164]

Answer:

310 tickets were sold in advance before school pay and 340 door tickets were sold in advance.

Step-by-step explanation:

Given:

Let number of tickets sold in advance be 'x'.

Cost of advance ticket = $3

Cost of door tickets = $5

Also given:

Thirty more tickets were sold at door in advance

Hence number of door tickets sold = $x+30$

Total Money Collected = $2630

Now we can say that Total Money Collected is equal to sum of number of tickets sold in advance multiplied by Cost of advance ticket and number of door tickets sold multiplied by Cost of door tickets.

Framing in equation form we get;

$3x+(x+30)5=2630$

Solving the equation to find the value of x we get;

$3x+5x+150=2630$

Combining the like terms we get;

$3x+5x=2630-150\\\\8x= 2480$

Now Dividing 8 on both side using division property we get;

$\frac{8x}{8} =\frac{2480}{8}\\ \\x=310$

Substituting the value of x to find number of door tickets been sold.

number of door tickets sold = $x+30=310+30 =340$

Hence, 310 tickets were sold in advance before school pay and 340 door tickets were sold in advance.

8 0

3 years ago

1/2n+3=6 what is the solution to this equation

nata0808 [166]

Answer:

n=6

Step-by-step explanation:

1/2 n + 3 = 6

Subtract 3 from each side

1/2 n +3-3=6-3

1/2n = 3

Multiply each side by 2

1/2 n * 2 = 3*2

n = 6

7 0

3 years ago

Read 2 more answers

Keiko the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the

soldier1979 [14.2K]

Hey!

Hope this helps....

~~~~~~~~~~~~~~~~~~~~~~~~~

Given Information:

No client can do both Plans

On Wednesday: 3 clients did Plan A, and 2 clients did Plan B

On Thursday: 5 clients did Plan A, and 6 clients did Plan B

Keiko was training for a total of 6 hours on Wednesday, and training for a total of 12 hours on Thursday

------------------------------

We'll let t stand for length of time

Wednesday:

3t + 2t = 6

5t = 6

t = 1.2 hours > translates to 1 hour, and 12 minutes

On Wednesday, she was with her clients individually for 1 hour and 12 minutes

Thursday:

5t + 6t = 12

11t = 12

t ~ 1.1 hours > translates to about 1 hour and 6 minutes

On Thursday, she was with her clients individually for about 1 hour and 6 minutes

-----------------------

We'll let A stand for total length of time for Plan A, and B stand for total length of time for Plan B

We'll let W stand for Wednesday, and T stand for Thursday...

We'll let z stand for total amount of clients for that plan...

~~~~

We know, for Plan A, on Wednesday there were 3 clients, and Thursday there were 5 clients

We also know for Plan B, on Wednesday there were 2 clients, and Thursday there were 6 clients

~~~~~

(3W + 5T)/z = A

(3(1.2) + 5(1.1))/8 = A

(3.6 + 5.5)/8 = A

9.1/8 = A

Plan A = 1.1375 hours > 1 hour 8 minutes 15 seconds

(2W + 6T )/z ~ B

(2(1.2) + 6(1.1))/8 ~ B

(2.4 + 6.6)/8 ~ B

9/8 ~ B

Plan B ~ 1.125 hours > 1 hour 7 minutes 30 seconds

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

When ever the symbol " ~ " is used in an equation, it stands for "About"...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Sorry for the mess up before....

8 0

4 years ago

Suppose the number of radios in a household has a binomial distribution with parameters n=11 and p=40%. Find the probability of

Ivenika [448]

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x=r) = nCr × q^(n-r) × p^r

From the information given,

n = 11

p = 40% = 40/100 = 0.4

q = 1 - 0.4 = 0.6

x represent the number of radios

a) P( x = 1) or P(x = 9)

P(x = 1) = 11C1 × 0.6^(11-1) × 0.4^1

P(x = 1) = 0.027

P(x = 9) = 11C9 × 0.6^(11-9) × 0.4^9

P(x = 9) = 0.0052

P( x = 1) or P(x = 9) = 0.027 + 0.0052 = 0.0322

b) P(x lesser than or equal to 7) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6)

P(x = 0) = 11C0 × 0.6^(11-0) × 0.4^0 = 0.004

P(x = 1) = 0.027

P(x = 2) = 11C2 × 0.6^(11-2) × 0.4^2 = 0.089

P(x = 3) = 11C3 × 0.6^(11-3) × 0.4^3 = 0.177

P(x = 4) = 11C4 × 0.6^(11-4) × 0.4^4 = 0.24

P(x = 5) = 11C5 × 0.6^(11-5) × 0.4^5 = 0.22

P(x = 6) = 11C6 × 0.6^(11-6) × 0.4^6 = 0.15

P(x = 7) = 11C7 × 0.6^(11-7) × 0.4^7 = 0.15

P(x lesser than or equal to 7) = 0.004 + 0.027 + 0.089 + 0.177 + 0.24 + 0.22 + 0.15 + 0.07 = 0.977

c) P(x greater than or equal to 5) = 1 - P(x lesser than or equal to 4) = 1 - (0.004 + 0.027 + 0.089 + 0.177 + 0.24) = 1 - 0.537 = 0.463

d) P(x lesser than 9) = P(x lesser than or equal to 7) + P(x = 8)

P(x = 8) = 11C8 × 0.6^(11-8) × 0.4^8 = 0.02

P(x lesser than 9) = 0.977 + 0.02 = 0.997

e. P(x greater than 7) = 1 - P(x lesser than or equal to 7) = 1 - 0.977 = 0.023

5 0

3 years ago

Reed wants to buy a new tent for an upcoming camping trip. The tent is marked down from its original price by 20%, and Reed has

lukranit [14]

You would take 175 and multiply it by 0.20 which is 35. The you would subtract 35 from 175 because it is marked down so you would get 140. Next, you would take 140 and multiply it by 0.10 and get 14. Finally subtract 14 from 140 to get your answer which would be $126.

7 0

3 years ago