Solve for n.

11(n – 1) + 35 = 3n

n = –6

n = –3

n = 3

n = 6

Answers

Answer 1
The answer is n=-3.

negative three
Answer 2
ANSWER

[tex]n = - 3[/tex]


EXPLANATION

We have the equation,

[tex]11(n - 1) + 35 = 3n[/tex]


We expand the brackets to obtain,



[tex]11n - 11+ 35 = 3n[/tex]



We simplify the constant terms to obtain,


[tex]11n + 24 = 3n[/tex]



We now group the constant terms on one side of the equation and the variable terms on the other side.



[tex]11n - 3n = - 24[/tex]


We simplify to obtain,

[tex]8n = - 24[/tex]


We divide both sides of the equation to get,


[tex]n = -3[/tex]

Hence the correct answer is B.

Related Questions

a rose garden has 8 rows of 26 rose bushes each. in each of the first 5 rows, 7 bushes have pink roses. in each of the first 3 rows, 12 bushes have yellow roses. the rest of the bushes have red roses. how many bushes have red roses?

Answers

137 bushes have red roses


Thomas earns $2100 per month and then got a 15 raise .how much will Thomas make per month after his raise

Answers

so I guess you man 15% raise!
2100×0.15=315
now that's the actual increase in pay
so what he actually gets it 2100+315=2415 dollars per month more than previous month's

Final answer:

Thomas will earn $2415 per month after a 15% raise on his current salary of $2100, which results in a raise amount of $315.

Explanation:

Thomas currently earns $2100, and with a 15% raise, we need to calculate the increase in his monthly pay. To find the amount of the raise, we calculate 15% of his current earnings. That is, we multiply his earnings by the raise percentage expressed in decimal form: $2100 × 0.15 = $315.

After finding the raise amount, we add it to his current salary to find his new monthly earnings. $2100 + $315 = $2415 per month. Therefore, after a 15% raise, Thomas will make $2415 per month.

Carly can ride her bicycle 6000 meters in 15 minutes how far can she ride her bicycle in two minutes

Answers

C. 800 Meters hope I helped

C would be the correct answer and | hope you have a good day

What is 3x-6+1=-2x-5+5x

Answers

It is no solution. 3X= -2X+5X So your answer is no solution.

Brett mows 3 lawns each week to make money. He earns $15 for each lawn that he mows. Which expression represents the amount of money Brett has earned after w weeks? Select each correct answer.

w(3⋅15)
w(3+15)
3w+15
15w+15w+15w

Answers

w(3x15) is the answer


Rebecca had 9/10 of a yard of ribbon. Then she gave 7/20 of a yard to a friend. How much does she have left? Explain your work

Answers

A yard is a unit of length. Hence, the Rebeccas have  [tex]\frac{11}{20}[/tex] a yard of ribbon.

What is the yard?

A yard is a unit of length in both US Customary and British Imperial Systems of Measurement.

Here, Rebecca had [tex]\frac{9}{10}[/tex] a yard of ribbon, and Rebecca gives [tex]\frac{7}{20}[/tex] of a yard of a friend.

Now, we have to subtract [tex]\frac{7}{20}[/tex] from the original [tex]\frac{9}{10}[/tex].

Since the denominator is the same as the rules of fractions.

Now, we multiply [tex]\frac{9}{10}[/tex] by [tex]\frac{2}{2}[/tex] so that the denominator [tex]10[/tex] and [tex]20[/tex] would be the same.

Therefore,

[tex]\frac{9}{10}[/tex]×[tex]\frac{2}{2}[/tex]=[tex]\frac{18}{20}[/tex].

Here, both the denominator are the same, we can subtract [tex]\frac{7}{20}[/tex] from the [tex]\frac{18}{20}[/tex].

[tex]\frac{18}{20}-\frac{7}{20}\\=\frac{11}{20}[/tex]

Hence, the Rebeccas have  [tex]\frac{11}{20}[/tex] a yard of ribbon.

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Final answer:

Rebecca has 11/20 of a yard of ribbon left after subtracting the 7/20 yard she gave to a friend from her initial 9/10 yard of ribbon by converting both fractions to have a common denominator.

Explanation:

Rebecca started with 9/10 of a yard of ribbon and gave away 7/20 of a yard. To find out how much ribbon she has left, we need to subtract the amount she gave away from the amount she started with. This can be done following these steps:

Ensure that both fractions have a common denominator. The least common multiple of 10 and 20 is 20, so multiply the numerator and the denominator of the first fraction (9/10) by 2 to get the equivalent fraction with a denominator of 20, which gives us 18/20.

Now subtract the second fraction (7/20) from the first fraction (18/20) since they now have a common denominator. This gives us 18/20 - 7/20 = 11/20.

Therefore, Rebecca has 11/20 of a yard of ribbon left.

In the story Charlotte's Web, How does the goose react to her big news?
A. She threatens the rat
B. She bows shamelessly
C. She trembles with fear
or D. She sits still and talks less

Answers

i believe the answer is choice A. She threatens the rat

Am I doing this right?
16,14=4
15,35=5
24,32=4
27,63=9
20,80=20
18,38=2
14,49=7
66,99=33
9,35=1
6,24,42=6
30,50,70=10
32,48,96=12
10w,5w=5
16xy,24xy=8
21ab,35a=7
10jk,15k=5
3mn,9mn,12mn=3
6xy,9x,3y=3

Answers

The greatest common factor of 24, 32 = 8
Factors of 24 are 1,2,3,4,6,(8),12,24;Factors of 32 are 1,2,4,(8),16,32 

32,48,96 = 16
Factors of 32: 1,2,4,8,(16),32
Factors of 48: 1,2,3,4,6,8,12,(16),24,48
Factors of 96: 1,2,3,4,6,7,12,(16),24,32,48,96

10w = 2 * 5 * w
5w = 5 * 1 w
GCF = 5w

16xy = 2 * 8 * x * y
24xy = 3 * 8 * x * y
GCF = 8xy

21ab = 3 * 7 * a * b
35a = 5 * 7 * a
GCF = 7a

10jk = 2 * 5 * j * k
15k = 3 * 5 * k
GCF = 5k 

3mn = 3 * m * n
9mn = 3 * 3 * m * n
12mn = 3 *4 * m * n 
GCF= 3mn 

The area of a rectangle is 201.5 square inches. The length of the rectangle is 13 inches. What is the width of the rectangle?

Answers

For a rectangle,

area = length * width

We can solve the equation for width.

width = area/length

Divide the area by the length to find the width.

width = (201.5 in.^2)/(13 in.) = 15.5 in.

Answer: the width is 15.5 in.

list these number from greatest to least: 0.386, 0.3, 0.6833, 0.836

Answers

the correct order from greatest to least is:


0.863, 0.6833, 0.386, 0.3

The lines x= 1/4y + a and y=1/4x +b intersect at the point (1,2). What is a+b?

Answers

Plug in the point for each equation:

x=1/4y + a
(1)=1/4(2) + a
1=1/2+a
1/2=a

y=1/4x+b
2=1/4(1) +b
b= 7/4

Solve a+b:
a+b=?
(2/4)+(7/4)= 9/4= 2.25

Final answer:

The values of a and b are 1/2 and 7/4 respectively. The sum of a and b is 9/4.

Explanation:

To find the values of a and b, we need to solve the system of equations formed by the given lines. Let's start by substituting the given coordinates (1, 2) into the equations:

x = (1/4)y + a -> 1 = (1/4)(2) + a -> 1 = 1/2 + a -> a = 1 - 1/2 = 1/2

y = (1/4)x + b -> 2 = (1/4)(1) + b -> 2 = 1/4 + b -> b = 2 - 1/4 = 7/4

Therefore, a = 1/2 and b = 7/4. To find the sum of a and b, we add them: a + b = 1/2 + 7/4 = 2/4 + 7/4 = 9/4

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A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What was the bicyclist's average rate of speed in miles per hour?


8:00 A.M. --> 3.5 ---> 8:14 A.M. -------> 8.5 -----> 8:48 A.M.

The average rate of speed is ___
miles per hour.

Answers

I think that it is saying that 8:15-8:45 is 7.5 miles right? Then 8- 8:15 is 4.5 and you are trying to find the average of an HOUR. So in order to get an hour you need 15 more mins. Which is 4.5 miles according to the chart. (8-8:15). So 4.5+4.5+7.5=16.5. Divided by three is 5.5 miles per hour. I'm not sure but this is what I would do. 

Answer:

Step-by-step explanation:

How it works

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savageluzti avatar

savageluzti

12/14/2017

Mathematics

High School

answered

A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What was the bicyclist's average rate of speed in miles per hour?

8:00 A.M. <--- 4.5 ---> 8:18 A.M. <------ 7.5 ------> 8:48 A.M.

The average rate of speed is ___ miles per hour.

2

SEE ANSWERS

Answer

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15

eliho

Beginner

1 answer

6 people helped

Average rate of speed is equal to total distance divided by the total time. the total distance is equal to 4.5+7.5, or 12 miles. The total time from 8:00 to 8:48 is 48/60 of one hour. 12*60/48=15 miles per hour

Smenevacuundacy and 21 more users found this answer helpful

THANKS

15

4.0

(6 votes)

Answer

5.0/5

7

Alleei

Virtuoso

4.8K answers

20.6M people helped

Answer : The bicyclist's average rate of speed in miles per hour is 15 mile/hr.

Step-by-step explanation:

Average rate if speed : It is defined as the ratio total distance to total time.

Formula used :

As per question,

Total distance traveled by bicyclist = 4.5 mile + 7.5 mile = 12 mile

Total time taken by bicyclist = (8:48 A.M - 8:00 A.M) = 48 min = 0.8 hr

conversion used : ( 1 hour = 60 minute)

Now put all the given values in the above formula, we get the bicyclist's average rate of speed in miles per hour.

Therefore, the bicyclist's average rate of speed in miles per hour is 15 mile/hr.

On the plans for new house, the house is 18 inches wide by 20 inches long. If the house is actually going to be 27 feet wide, what will the actual length of the house be?

A.) 24.3 ft

B.) 40.5 ft

C.) 30 ft

D.) 25 ft

Marked brianlist if yoy explian how you got the answer.

Answers

its to scale. so every inch is 1.5 feet according to the statement of 18 inches being equal to 27 feet. In that case, the answer is C. because 20X1.5 is 30

The mean of 100 scores is 84. If each score is increased by 2 then what is the new mean?

Answers

The new mean would be 86 
84x100=8400
100 scores that you're adding two onto
100x2=200
8400+200=8600
8600/100= 86

To find the new mean after increasing each score by 2, we add 2 to the original mean of 84 to get a new mean of 86

The question concerns the calculation of the new mean when each score in a set is increased by a consistent amount. Given that the mean of 100 scores is 84, if we increase each score by 2, the new mean is also increased by 2. This is because the mean is the sum of all values divided by the number of values. Adding 2 to each score adds 200 to the total sum (since there are 100 scores), but the number of values remains the same. Thus, the new mean is 84 + 2, which equals 86

A total of 375 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answers

Taking into account the definition of a system of linear equations, the amount of adult tickets sold was 125.

System of linear equations

A group of two or more first-degree equations, whereby two or more unknowns are connected, is known as a system of linear equations.

Finding the value of each unknown is necessary to solve a system of equations and verify that all of the equations are satisfied. That is to say,  it is necessary to find the values of the unknowns since, when substituted, they must result in the suggested solution in both equations.

Amount of adults tickets sold

In this case, a system of linear equations must be proposed taking into account that:

"a" is the amount of adults tickets sold."s" is the amount of student tickets sold.

You know:

A total of 375 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold.

The system of equations to be solved is

s= 2×a

s + a=375

There are a number of ways to solve an equation system; nevertheless, it is decided to use the substitution method, which involves clearing one of the two variables from one of the equations in the system and replacing it with its value in the other equation.

In this case, substituting the first equation in the second you get:

2×a + a= 375

Solving:

3×a= 375

a= 375÷ 3

a= 125

Finally, the amount of adult tickets sold was 125.

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What is the slope of this graph?

Answers

Answer: The slope (m) of the line using two points where the line goes through is:

m = - 4 (negative 4).


Solution:

m=(y2-y1) / (x2-x1)

Taking two points in the graph where the line goes through:

P1=(0,2)=(x1,y1)→x1=0, y1=2

P2=(1,-2)=(x2,y2)→x2=1, y2=-2

Replacing in the formula of the slope:

m=(-2-2) / (1-0)

m=(-4) / (1)

m=-4

Fill in the missing reasons in the Two-column proof below.
Given: m∠2 + m∠3 + m∠4 = 180°
Prove: m∠1= m∠3 + m∠4

Statement Reasons
a. m∠2 + m∠3 + m∠4 = 180° a.
b. m∠1 + m∠2 = 180° b.
c. m∠1 + m∠2 = m∠2 + m∠3 + m∠4 c.
d. m∠1 + m∠2 - m∠2 = m∠2 + m∠3 + m∠4 -m∠2 d.
e. m∠1 = m∠3 + m∠4 e.

Answers

a. Given (This is part of the original problem)
b. Supplementary angles form 180 degrees (The definition of supplementary angles is that two or more angles have a sum of 180 degrees. DC is a straight line and has a measure of 180 degrees)
c. Substitution (Given the two previous statements, they are each equal to 180 degrees. Since 180=180 then you can substitute the angles in the equation.)
d. Subtraction (m<2 is being subtracted)
e. Subtraction postulate (Since the same quantity was being subtracted from each side of the equation, they are still equal)

Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?

Answers

the correct answer for this problem is y+1=6/7(x+3). hope this helps, and it should cause i got this correct

A linear equation or function is always a representation of a straight line in the coordinate plane. The equation of the line that passes through points (4, 5) and (−3, −1) is y = (6/7)x + 9/7.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

The equation of a straight line is given by, y = mx + c

Where m is the slope while c is the y-intercept.

The slope of line passing by two points (x₁, y₁) and (x₂, y₂)

Slope(m) = (y₂ - y₁)/(x₂ - x₁)

The slope of the line that passes through  (4, 5) and (−3, −1) will be,

m = (-1 -5)/(-3-4)

m = -6/-7 = 6/7

So equation converts as, y = (6/7)x + c

Substitute, (4,5)

5 = (6/7)4 + c

c = 9/7

So, y = (6/7)x + 9/7 will be the equation.

Hence "The equation of the line that passes through points (4, 5) and (−3, −1) is y = (6/7)x + 9/7".

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what is the difference between 5 and 2/5

Answers

5 is a whole number
2/5 is a fraction

P(6,0) under the translation (x -6, y -1) ?

Answers

it would probably be -6 -1

The translated point for P(6, 0) under the translation (x - 6, y - 1) is (0, -1).

let's work through this step by step.

First, let's understand the translation given: (x - 6, y - 1). This means that for any point (x, y) in the original coordinate system, the corresponding point in the translated system will be (x - 6, y - 1).

Now, let's find the translated point for P(6, 0). Using the translation rule, we substitute x = 6 and y = 0 into the formula (x - 6, y - 1):

Translated point = (6 - 6, 0 - 1)

Translated point = (0, -1)

So, the translated point for P(6, 0) under the translation (x - 6, y - 1) is (0, -1).

To solve this problem, we first understand the translation rule given. In this case, the translation rule is (x - 6, y - 1), which means we subtract 6 from the x-coordinate and subtract 1 from the y-coordinate to find the new coordinates after translation.

Next, we substitute the coordinates of point P(6, 0) into the translation rule. For x, we have 6, and for y, we have 0. Plugging these values into the rule gives us (6 - 6, 0 - 1), which simplifies to (0, -1).

Therefore, the translated point for P(6, 0) under the translation (x - 6, y - 1) is (0, -1).

complete question

P(6,0) under the translation (x -6, y -1) ?

2x+3y+7=3 in standard form

Answers

2x+3y+7=3

2x + 3y + 7 - 7 = 3 - 7

2x + 3y = -4

Use numbers to explain the pattern you see when you count forward by tens

Answers

Final answer:

Counting forwards by tens reveals a pattern where the tens digit increases and the units digit remains zero. Our decimal system is designed around powers of ten, making multiplication and division by ten intuitive by simply moving the decimal point right for multiplication and left for division.

Explanation:

When you count forward by tens, you can notice a pattern where the unit digit is always zero, and the digit in the tens place increases by one each time. For example, starting from 10, the sequence is 10, 20, 30, 40, 50, and so forth. This happens because each number is equivalent to a number of ten dollar bills, for example, 2 ten dollar bills make 20, 3 ten dollar bills make 30, etc.

Our numerical system is a base-10, or decimal system, influenced by the fact that humans typically have ten fingers, making it natural for us to count in tens. Each place value in a number is ten times greater than the place to its right. Therefore, when we multiply a number by ten, we effectively shift all digits one place to the left, adding a zero at the end. This is similar to when we multiply by powers of ten; for instance, 103 (or 10·10·10) is 1,000. The number of zeros in a power of ten also tells us how many places to move the decimal point to the right when multiplying.

Conversely, when we divide by powers of ten, we move the decimal point to the left by the number of zeros in that power of ten. For example, dividing 1,000 by 102 (or 100) moves the decimal two places to the left, giving us 10. This is an excellent example of the practical use of the base-10 system in arithmetic operations.

Final answer:

When counting forward by tens, each number is 10 greater than the previous number.

Explanation:The pattern when counting forward by tens is that each number is 10 greater than the previous number.For example, if you start counting at 10, the next number would be 20, then 30, 40, and so on.This pattern continues indefinitely, with each number being 10 more than the previous number.

(PLEASE HELP ILL GIVE ALL THE COINS ICAN ASAP).In the situation, simple interest is calculated yearly. How much interest was earned? Drag and drop the answer into the box. Principal: $8000; Time: 4 years; Interest rate: 12%; Interest: ? $960 $3,840 $8,000 $11,840 $32,000

Answers

The formula to find the simple interest is
I=prt
I interest earned?
P principle 8000
R interest rate 0.12
T time 4 years
So
I=8,000×0.12×4
I=3,840....the answer

Hope it helps!

Answer:jgxgiddgidx

Step-by-step explanation:Hgxhfzjgxgdjgjggjdjgjgcy

.85 as a fraction in simplest form

Answers

.85  = 85/100 = = 17/ 20

answer
17/20
Hello!

To find this, turn .85 into 85/100 and simplify.

Simplified, it's 17/20.

Hope this helps! ☺♥

PLEASE HELP I NEED THE ANSWER A.S.A.P!!!!!!!!! 20 POINTS!!!!!!!!!!!!!!!

When solving an equation using the distributive property that involves distributing fractions usually the first step is to multiply by the LCD to eliminate the fraction in order to simplify computation. Is it necessary to do this solve 1/2 (4x+6) = 1/3 (9x-24)? Why or why not?

Answers

it is. i had a problem in my text book just like it once. it didnt telll me why though. i will find out and let you know.

Answer:

need points ty

Step-by-step explanation:

The length of a rectangle is 4 more than twice the width. If the length is 62, find the width.

Answers

62 - 4 = 58  
58 / 2 = 29
The width is 29.



Which expression uses the greatest common factor and the distributive property to rewrite the sum 75 + 45?

A. 45(30 + 1)
B. 15(5 + 3)
C. 15(3 + 7)
D. 5(70 + 40)

Answers

75 + 45

First let's find the greatest common factor.
75: 1, 3, 5, 15, 25, 75
45: 1, 3, 5, 9, 15, 45
Their GCF is 15.

To get 75, you multiply 15 by 5.
To get 45, you multiply 15 by 3.

Therefore, 15(5 + 3) = 75 + 45.

B. 15(5 + 3)

The expression that uses the greatest common factor and the distributive property to rewrite the sum 75 + 45 is B. 15(5 + 3)

What is distributive property?

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

Given; the distributive property to rewrite the sum 75 + 45

First find the greatest common factor.

75: 1, 3, 5, 15, 25, 75

45: 1, 3, 5, 9, 15, 45

Their GCF is 15.

To get 75, we will multiply 15 by 5.

To get 45, we will multiply 15 by 3.

Therefore, 15(5 + 3) = 75 + 45.

The expression that uses the greatest common factor and the distributive property to rewrite the sum 75 + 45 is B. 15(5 + 3)

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The sum of three consecutive numbers in 132. What is the smallest of the three numbers?

Answers

It is 42. It is 42 because 42+44+46=132 and 42 it the least number there.

The highest elevation in Africa is in Kilimanjaro which is 19,334 feet above sea level. The lowest elevation in Africa is at Lake castle which is 509 feet below sea level. What is the difference in elevation between the two locations

Answers

A. 19843 is your answer. Any questions?

The amount of fat, in grams, in granola is proportional to the volume, in cups, of the granola as shown on graph.

Answers

Answer:

What is the answer to the question

Step-by-step explanation:

The rate in gram per cup is 4.5

A rate is a measure of the quantity or change in one variable with respect to another, often expressed as a ratio.

Commonly used to describe speed, efficiency, or frequency, rates quantify how one quantity changes in relation to another, usually over time.

The rate in this scenario is the slope of the line.

slope = ∆y/∆x

∆y = change in y

∆x = change in x

slope = 18-0)/4-0

slope = 18/4

= 4.5

Therefore, the rate is 4.5 grams per cup

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