All categories

2 years ago

Solve,justify and check: 3(7+5n)=6n+6(1+4n)

Mathematics

2 answers:

jenyasd209 [6]2 years ago

6 0

The answer should be 1=n

vlabodo [156]2 years ago

4 0

Answer:

1=n

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

7(3)+5(3)n= 6n+1(6)+4(6)n

Step 2- Multiply

21+15n= 6n+6+24n

Step 3- Add common variables to simplify.

21+15n= (24n+6n)+6

21+15n= 30n+6

Step 4- Subtract the smallest variable to both sides.

21+15n= 30n+6

-15n -15n

21= 15n+6

Step 5- Subtract 6 to both sides.

21= 15n+6

-6 -6

15= 15n

Step 6- Divide both sides by 15.

15= 15n

15 15

1=n

You might be interested in

Assignment The operation teeter is defined on the set T= { 2, 3, 5, 7 } by x teeter y=[x+y+xy) mod.8 a - Construct mod.8 table f

rosijanka [135]

Answer:

Case A) tau_net = -243.36 N m, case B) tau_net = 783.36 N / m, tau_net = -63.36 N m, case C) tau _net = - 963.36 N m,

Explanation:

For this exercise we use Newton's relation for rotation

Σ τ = I α

In this exercise the mass of the child is m = 28.8, assuming x = 1.5 m, the force applied by the man is F = 180N

we will assume that the counterclockwise turns are positive.

case a

tau_net = m g x - F x2

tau_nett = -28.8 9.8 1.5 + 180 1

tau_net = -243.36 N m

in this case the man's force is downward and the system rotates clockwise

case b

2 force clockwise, the direction of

the force is up

tau_nett = -28.8 9.8 1.5 - 180 2

tau_net = 783.36 N / m

in case the force is applied upwards

3) counterclockwise

tau_nett = -28.8 9.8 1.5 + 180 2

tau_net = -63.36 N m

system rotates clockwise

case c

2 schedule

tau_nett = -28.8 9.8 1.5 - 180 3

tau _net = - 963.36 N m

3 counterclockwise

tau_nett = -28.8 9.8 1.5 + 180 3

tau_net = 116.64 Nm

the sitam rotated counterclockwise

4 0

7 months ago

Explain how you know these two figures are similar

ICE Princess25 [194]

Is there a picture to go with it

4 0

2 years ago

A triangle drawn on a Cartesian plane has vertices p(-10,-2) Q(-10,6) and R(5,2). Calculate the perimeter,in units of the triang

lakkis [162]

Answer:

1 is a great place to work for and it is a great place to work for

Step-by-step explanation:

The Frog and the Ox are a great place to work for and it

4 0

2 years ago

In order to have 6,000,000 in 40 years with a 5.75% rate. how much should be deposited each month?

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

This is an Annuity question. It is asking for recurring monthly payment(PMT). You can use a financial calculator to solve it. I am using (Texas Instruments BA II plus)

Since the payments occur monthly , adjust the interest rate to monthly rate and multiply 40 years by 12 since we have 12 months in a year.

Total duration of investment ; N = 40*12 = 480

Interest rate; I/Y = 5.75% /12 = 0.4792%

Future value; FV = 6,000,000

Present value ; PV = 0

then CPT PMT = 3,222.912

Therefore $3,222.91 should be deposited each month to achieve the goal.

4 0

2 years ago

At a sleep over, six friends were talking about the number of hours of sleep they usually get each night. Five of them said: 12,

mr Goodwill [35]

Answer:

So average of a set of values is the sum of given values divided by the number of values

So, in this case the given values are 12, 9 , 4 , 8 ,7 and x (letting the 6th friend's time be x)

so the average will be:

(12 + 9 + 4 + 8 + 7 + x)/6 = 9

40 + x = 54

x = 54 - 40

x = 14 hours

4 0

2 years ago