Solve the equation for n
3(n-5) = -21

Answers

Answer 1

Answer:

n=−2

Step-by-step explanation:

Let's solve your equation step-by-step.

3(n−5)=−21

Step 1: Simplify both sides of the equation.

3(n−5)=−21

(3)(n)+(3)(−5)=−21(Distribute)

3n+−15=−21

3n−15=−21

Step 2: Add 15 to both sides.

3n−15+15=−21+15

3n=−6

Step 3: Divide both sides by 3.

Answer 2

Answer: n= -2

Step-by-step explanation:

3(n−5)=−21

Divide both sides by 3.

n−5=  

3

−21

​  

 

Divide −21 by 3 to get −7.

n−5=−7

Add 5 to both sides.

n=−7+5

Add −7 and 5 to get −2.

n=−2


Related Questions

Please Help, thank you :)

Answers

Answer:

p=-13

-13+16=3

The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584; "5" /"8" of them are seventh graders and "3" /"8" of them are eighth graders. If "4" /"5" of the seventh graders participated in track-and-field day and "7" /"8" of the eighth graders participated, about how many total students participated? Describe the process you used to find your answer.

Answers

Given that, the total number of students in seventh and eighth grade combined is 584.

The number of students in seventh grade= 5/8 of the total number of students.

[tex]=\frac 5 8 \times 584=365[/tex]

As 4/5 of the total seventh-grade students participated in the track-and-field-event.

So, the number of seventh-grade students participated

[tex]= \frac 4 5 \times 365=292[/tex]

The number of students in the eighth grade 3/8 of the total number of students.

[tex]=\frac 3 8 \times 584=219[/tex]

As 7/8 of the total eighth-grade students participated in the track-and-field-event.

So, the number of seventh-grade students participated

[tex]= \frac78 \times 219=191.625.[/tex]

The number of students must be a counting number, but here, as per the given information, the number of seventh-grade students participated coming out a fractional number, so the given information is incorrect.

Although, as per the given data, the mathematical value of the total number of students participated from both the grade combined

=292+191.625

=483.625 (mathematically)

Again, in real life, the fractional value of the total number of students is not possible.

Answer:

Given that, the total number of students in seventh and eighth grade combined is 584.

Step-by-step explanation:

Jack's family left home at 9:00 AM and drove to the amusement park at 60 mph. They spent 7 hours at the park and then drove back home. On the way home, traffic was bad and they drove 20 mph slower than in the morning. They got home at 8:00 PM. How far is the amusement park from Jack's home?

Answers

Answer:

96

Step-by-step

the distance from the amusement to jack's home is x (mile, x>0)

jack's family went to the amusement park at: 9 + x/60

On the way home, traffic was bad and they drove 20 mph slower than in the morning⇒ they drove: 60 - 20 = 40 mph

they left the amusement park at: 20 - x/40

have the following equation:

(20 - x/40) - (9+ x/60) = 7

⇔ 4 = x/40 + x/60

⇔ x = 96

so the distance from the amusement park to jack's home is 96 mile

                                         

Distance of amusement park from Jack's home = 96 miles

Let the distance from Jackie's house to the amusement park be x.

She drove at a speed of 60 mph to get to the amusement park.

Now, formula for time is;

Time = distance/speed

Time; t1 = x/60 hours

Now, we are told she spent 7 hours at the park. Thus; t2 = 7 hours

On her way back home from school, we are told she drove 20 mph slower than her speed in the morning. Thus, speed = 60 - 20 = 40 mph

Thus; time; t3 = x/40

Now, she left home by 9 am and got home by 8pm same day. This is a total of t = 11 hours

Thus;

t1 + t2 + t3 = 11

Plugging in the relevant values;

(x/60) + 7 + (x/40) = 11

Rearrange to get;

(x/60) + (x/40) = 11 - 7

(x/60) + (x/40) = 4

Multiply through by 120 to get

2x + 3x = 480

5x = 480

x = 480/5

x = 96 miles

Read more at; brainly.in/question/3442867

Which is greater
4.87 x 109 or 9.212 x 1087

Answers

Answer:

9.212 x 1087

Step-by-step explanation:

9.212 x 1087=10013.444

4.87 x 109=530.83

Answer:

The seconds one

Step-by-step explanation:

It equals more

Question 4 Multiple Choice Worth 1 points)
(04.02 LC)
What is the solution to the following system of equations?
X - 3y = 5
2x + y = 10
(5,0)
(0,5)
(7,0)
(0,7)

Answers

Option 1 is the correct answer

(5,0)

Answer:

( 5, 0 )

Step-by-step explanation:

 x - 3y = 5

2x +  y = 10  multiply by 3 to eliminate y and solve for x

 x - 3y = 5

6x + 3y = 30  then add

7x          = 35

simplify:

x = 35 / 7

x = 5  

substitute x = 5 back into the eq.2

 2x +  y = 10

2(5) +  y = 10

           y = 10 - 10

           y = 0

therefore the answer is ( 5, 0 )

A purse contains a collection of quarters, dimes, nickels, and pennies. The average value of the coins in the purse is 17 cents. If a penny is removed from the purse, the average value of the coins becomes 18 cents. How many nickels are in the purse?

Answers

Answer:

There are total of 17 coins in the purse

Step-by-step explanation:

Let x represent the no of coins in the purse

Let y represent the total amount

 y/x = 0.17

y = 0.17*x............................(i)

y-0.01 / x-1 = 0.18

y - 0.01 = 0.18x -0.18........(ii)

We substitute y = 0.17 x into the second equation:

0.17x - 0.01 = 0.18x - 0.18

0.17 = 0.01x

x = 17

Hence, there are total of 17 coins in the purse

A scientist receives a grant for $8,860,000. The
laboratory needs $12,000,000 for new renovations. How
much more money does the laboratory need for new
renovations? Write your answer in scientific notation.

Someone please help I need help!

Answers

Answer:

3140000

Step-by-step explanation:

12,000,000 - 8860000

Which ratio is different from the others? > 8 to 15 ,15:8 ,8:15 8/15​

Answers

8 to 15 is a different ratio than the others.

Triangle ABC is given by the points A(−1, 5), B(0, 3), and C(2, 4). It is reflected over the line y = −2x − 2. Does the image contain each of the points? Select Yes or No for A-C.
1. A' (-5,3) Yes or No
2. B' (-4,6) Yes or No
3. C' (-6,0) Yes or No

Please help!

Answers

Answer:

1.A'(-53) yes

2. yes

3 no

construct a 45-45-90 degree triangle with leg equal to AB

Answers

Lines AB and BC form a 90 degree angle. The other two angles, lines AC and BC and lines AC and AB from 45 degree angles.

The required 45-45-90 degree triangle is shown, where each of the two acute angles is 45 degrees and the length of the hypotenuse is equal to the length of each leg multiplied by the square root of 2.

What is the right-angle triangle?

A right-angled triangle, also known as a right triangle, is a triangle in which one of its interior angles measures exactly 90 degrees. The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.

Here,
o construct a 45-45-90 degree triangle with leg AB, we can follow these steps:

Draw a line segment AB and mark its midpoint as point M.Using a compass, draw a circle centered at point M with a radius AB. This circle will intersect AB at points C and D, which are equidistant from point M.Draw a line segment CD to connect points C and D. This line segment is the hypotenuse of the 45-45-90 degree triangle we want to construct.Draw a perpendicular bisector to AB at point M. This will intersect CD at point E, which is the midpoint of CD.Draw a line segment AE, which is one of the legs of the 45-45-90 degree triangle.Draw a line segment BE, which is the other leg of the 45-45-90 degree triangle.Label the triangle ABC with angle measures of 45 degrees at angles A and B, and 90 degrees at angle C.

The resulting triangle will have sides AB, BC, and AC, where AB and BC are equal in length and AC is the hypotenuse.

Learn more about right-angle triangles here:

https://brainly.com/question/3770177

#SPJ2

Solve for x.
12x − 6 = − ( 18x + 11 )
A. 6
B. -6
C. 1/6
D. -1/6

Answers

Answer:

D

Step-by-step explanation:

12x - 6 = -18x - 11

12x + 18x = -11 + 6

30x = -5

x = -1/6

The number of students in a chess club decreased from 40 to 19. What is the percent decrease? Round your answer to the nearest percent.


The percent decrease is
%.

Answers

The answer is .475 or .5 percent



A new student at Malden High School started the year with 2 friends . This number doubles every week.

Answers

Answer:

Thats not a proper question

Step-by-step explanation:

i agree with what the other person said

20. Rectangle ABCD is transformed to create rectangle EFGH. What sequence of
transformations maps one to the other? Select all that apply.

a. Reflect over the y-axis, then reflect over the x-axis
b. Rotate 180° about the origin, then translate up 4 units
c. Translate down 4 units, then rotate 180° about the origin
d. Translate 4 units to the right, then rotate 180° about the origin

Answers

Answer:

B

Step-by-step explanation:

rotate 180 --> translate up by 4:  (x,y)--> (-x,-y) --> (-x,-y +4)

12 divided by 3 +6 times 2 simplified

Answers

Answer:  I believe the answer is 16 hope this helps

Step-by-step explanation:

Step-by-step explanation:

3 + 6 = 9

9 x 2 = 18

12/18 = 0.66 repeating

0.66 repeating >> simplified >> 2/3

**Please mark brainliest :))

help me pleaseeeeeeeo

Answers

Answer: x=-2

Step-by-step explanation:

First subtract 4 from both sides

Sqrt(x+3)=1

Then square both sides

X+3=1

Then subtract 3

X=-2

Hope this helps!

Answer:

mmm x = -2 and put -2 over the square root on your calculator

Step-by-step explanation:

I hope this is right lol

Which is the minimum or maximum value of the given function?

A.
The function has a minimum value of -4.
B.
The function has a maximum value of -4.
C.
The function has a maximum value of -3.
D.
The function has a minimum value of -3.

Answers

Answer:

The function has a minimum value of -4.

Step-by-step explanation:

i got it right

TARGET TAS
The average American household spends about $40,000 each year. If there are about 1 x 10 households, what is the
total amount of money spent by American households in one year? Write your answer in scientific notation and
standard form.

Answers

Is there a picture with this or jus solve it?

∵Brainliest for the first right answer ∵

Answers

Answer:

D. 0.42 divided by 7

Hope this helps! Please mark Brainliest!

Answer:

D. is correct

Step-by-step explanation:

I took the test

if y is directly proportional to x and y = 56 when x = 8 what is the value of y when x = 13

Answers

Answer:

y=91

Step-by-step explanation:

if x=8 when y=56,we can make a formula like this(y=7x) &then we can solve easly

y=7x

y=7*13

y=91

i hope helps you

"If x = y, then x + 4 = y + 4" represents the
property of equality.
OA) substitution
B) subtraction
C) addition
D) transitive

Answers

Answer:

C

Step-by-step explanation:

Look in your old textbooks

C) addition,

x + 4 = y + 4

choose all the numbers that are factors of 16
A. 2
B. 16
C. 3
D. 4
E. 8
F. 12
G. 6
H. 5
I. 10
J. 1​

Answers

2, 4, 8, and 1 i belive

Tommy is travel to see his aunt. He drives for 40 minutes for 1280 miles, how fast was Tommy driving?

Answers

Answer:

1280/40=32

Step-by-step explanation:

Answer:

speed = 32 miles per hour

= 32 mi/h

A square patio has a perimeter of (8x + 28) feet. What is the length of the patio?

Answers

2x+12 sorry if wrong

what is the answer to 10 x 102

Answers

Answer: 1,020

Step-by-step explanation:

The answer is 1020!!

Please help legit things only or you get banned thanks!!!!!!!!!!!!!

Answers

it’s c, because angles a and b are complementary, which would mean the sum would have to be 90.

Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate?
–250
–240
240
250

Answers

Answer:

it is a becouase if you estimate (–25.31) to -25 and 9.61 to 10 / 25x10 would be 250 since -25.31 was negative it would be option A or -250

Step-by-step explanation:

The composition of transformations always results in the lengths of segments of the pre-image and image remaining equal. (True or False)

Answers

Answer:

False.

Step-by-step explanation:

In translation, rotation and reflections there is no size change but in dilation the size of the pre-image changes.

So, it is false.

the us air force has 19 women for every 81 men enlisted.what is the ratio of men to women

Answers

Answer: 81 to 19

Step-by-step explanation:

Which expression could be used to determain the cost of a $40 video game aftera 15 percent discount

Answers

Answer:

$34

Step-by-step explanation:

40*.15

=6

40-6

=34

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