Henry is three more than twice Nicholas’ age. Marcus is 9 less than six times Nicholas’s age. If Henry and Marcus are twins, how old is Nicholas?

Answers

Answer 1

Answer:

Step-by-step explanation:

Henry is 3 more than twice Nicholas' age. You can write this as :

H = 3 + 2N

Marcus is 9 less than 6 times Nicholas' age:

M = 6N - 9

Since Henry and Marcus are twins, this means H = N.

3 + 2N = 6N - 9

Add 9 to both sides

12 + 2N = 6N

Subtract 2N from both sides

12 = 4N

Divide both sides by 4 to find N.

N = 12/4 = 3


Related Questions

Select all that are equivalent to: (-12x-8)/4
3x-2


1/4 (12x+8)​

-(12x+8)/-4
-3x-2−3x−2

-3x+2−3x+2

Answers

All that are equivalent to (-12x-8)/4 is:
•A
•B
•C

The cost of 6 team sweatshirts is $84.
At this price, how much would it cost to
buy sweatshirts for a whole team of 24
players?

Answers

Answer:

336

Step-by-step explanation:

What is the difference of the polynomials?
(m^2n^2-7) -(mn+4)

Answers

Answer: m^2n^2-mn-11

Step-by-step explanation: edge

9x - 8> 40 +7
help !!!!!!!!

Answers

Answer: x>55/9

Step-by-step explanation: Divide both sides by  9  

     x-(55/9)  > 0

Add  55/9  to both sides

            x > 55/9

Inequality plot for

        9.000 x  - 55.000  >  0

ANSWER BRIEFLY AND FAST FOR GUARANTEED BRAINLY AND POINTS!

• commutative property
• addition property of equality
• 2x=8
• distributive property
• division property of equality
• x=4
• multiplication property of equality
• subtraction property of equality

Answers

Answer:

See below

Step-by-step explanation:

[tex]2(x+5)-3 =15[/tex]

Using the distributive property in the LHS we get

[tex]2x+10-3 =15[/tex]

[tex]2x+7=15[/tex]

Now add -7 both sides. So we have the subtraction property of equality.

[tex]2x+7+(-7)=15+(-7) \text{ This is what I meant for add}[/tex]  

[tex]2x+7-7=15-7[/tex]

[tex]2x=8[/tex]

Now divide both sides by 2. So we have the division property of equality

[tex]\dfrac{2x}{2} =\dfrac{8}{2}[/tex]

[tex]x=4[/tex]

Please help im timed:)

Answers

Answer:

A

Step-by-step explanation:

Simplify and subtract.

Answer:

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4)

2x+10y-2.8x-5.2y+16

-0.8x+4.8y+16

solve for x
-1+30x+24=6(5x+4)
???

Answers

Answer:

No solution.

Step-by-step explanation:

Write the expression, combine like terms, and distribute.

-1+30x+24=6(5x+4)

30x+23=30x+24

Get rid of the variable first because they're both 30x (it makes it a lot easier).

30x+23=30x+24

-30x      -30x

23=24

23 is not equal to 24. When this happens, it means there is no solution, and that's just the answer.

Hope this helps you out!! Have a great day C:

Find all of the zeros of f(x)=x^4+5x^3-8x-40​

Answers

x=−5 x=2hope it helpss

Suppose m is the line with equation y = −4 and ΔA'B'C is mapped to ΔA"B"C" by applying the glide reflection T3, 0 Rm.
What are the coordinates of ΔA″B″C″?

Answers

Answer:

The coordinates of ΔA''B''C'' are;

A''(-1, -3), B''(-2, -6), C''(1 , -7)

Step-by-step explanation:

A glide reflection involves the reflection of the preimage over a given line, followed by the translation of the resulting image along the given line

Given that the coordinates of the triangle ΔA'B'C' are;

A'(-4, -5), B'(-5, -2), C'(-2, -1), we have by reflection across the line y = -4

A''(-4, -4 + 1) = A''(-4, -3)

B''(-5, -4 - 2) = B''(-5, -6)

C''(-2, -4-3) = C''(-2, -7)

Translation of A''B''C'' by T 3, 0, we have;

A''(-4, -3)  → T₃, ₀ → A''(-4 + 3, -3) = A''(-1, -3)

B''(-5, -6)  → T₃, ₀ → B''(-5 + 3, -6) = B''(-2, -6)

C''(-2, -7) → T₃, ₀ → C''(-2 + 3, -7) = C''(1 , -7)

The coordinates of ΔA''B''C'' are therefore;

A''(-1, -3), B''(-2, -6), C''(1 , -7).

Answer:

A″(−1, −3), B″(−2, −6), C″(1, −7)

option A

Which number is equivalent to the fraction 15/7? 2
2 1/7
7/15
1 8/7​

Answers

Answer:

2 1/7

Step-by-step explanation:

Answer:

2 1/7, is 15/7(improper fraction) as a mixed fraction, and

1 8/7 is an improper mixed fraction equivilent to 2 1/7.

Step-by-step explanation:

15/7 = 7/7 + 7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7

1 8/7 = 1 + 8/7 = 1 +7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7

Answer −9
x + 1 = −80
Brainlist included

Answers

Answer:

x=9

Step-by-step explanation:

-9x+1=-80

To eliminate the one, you subtract one from both sides.

That gives you:

-9x=-81

Then you divide both sides by negative nine to get x by itself.

x=9

your answer would be x=9.

Which is an equation of a line with a slope of 1/2 that contains the point (-4,7)?

Answers

Answer

We know that this is a straight line, so it will follow the slope intercept equation:
y = mx + b.
To solve this problem, we need to plug in the x and y values for one point to get b, and then we will know the equation for the line, which is valid for all points.
x = −4

y = −3

m = 1/2
Let's start by solving for b:
b = y − mx
Now we can plug in numbers:
b = −3 − (1/2 × −4)

b = −3 − (−2)

b = −3 + 2

b = −1
Now that we know m and b, we can plug into our original equation:

The equation is y = 1/2x − 1.

You have a recipe that requires 1/3 cup of sugar but you only want to make a fourth of the recipe how much sugar do you need to make this fraction of the recipe? A) 1/12 cup b) 7/12 cup c) 3/4 cup d) 4/3 cup

Answers

Answer:

A

Step-by-step explanation:

how I solved it was 4x3=12

Answer:

A.

Step-by-step explanation:

That is  1/4 * 1/3 = 1/12,

PLEASE HELP THE ONES I CIRCLE ARE THE ONES YOU DO

Answers

Answer:

1 is a competition, 2 is protection, 5 is division, and 8 is solution.

Step-by-step explanation:

hope these are all correct and you ace this!

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 9
y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 5
y = –3x – 11y
y = –3x + 25

Answers

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 7) and (x₂, y₂ ) = (- 3, 6)

m = [tex]\frac{6-7}{-3+6}[/tex] = [tex]\frac{-1}{3}[/tex] = - [tex]\frac{1}{3}[/tex] , thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 6 ), then

6 = 1 + c ⇒ c = 6 - 1 = 5

y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line

Answer:

B

Step-by-step explanation:

Based on this persons answer this is what it it

A set of ordered pairs is called what?

Answers

Answer:

A relation

Step-by-step explanation:

Answer:

A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

Step-by-step explanation:

Maria's dinner bill is $21.89 after tax. If she wants to leave a 15% tip, what will the total cost of the dinner be?
Please Answer

Answers

Answer:

Step-by-step explanation:

The answer would be, 25.17.

You need to multiple the total by 0.15 . Then add the answer to the total.

Answer:

$25.17

Step-by-step explanation:

$21.89 multiplied by 0.15 equals $3.28.

You then add the original bill to $3.28 which equals $25.17 for the total cost.

The difference of six times a number and seven results in 35.

Identify the steps necessary to solve the equation.

Answers

Answer:

Let the number be x

According to the question,

6x -7 = 35

=> 6x = 35 + 7

=> x = 42/6

=> x = 7

The solution to the equation is x = 7.

We have,

Let's assume the unknown number is represented by the variable 'x'.

- Translate the given information into an equation:

6x - 7 = 35.

- To isolate the variable 'x', start by adding 7 to both sides of the equation:

6x - 7 + 7 = 35 + 7.

- Simplify:

6x = 42.

- Next, divide both sides of the equation by 6 to solve for 'x':

(6x)/6 = 42/6.

x = 7

Therefore,

The solution to the equation is x = 7.

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ6

I need help with dis

Answers

Answer:C is supposed to be in eight and six/ 8 and 10 should be 40

Step-by-step explanation:

Answer:

1=8, 2=24, 3=40

Step-by-step explanation:

HELP QUICK
Find the y-intercept of the graph of the equation given. Write your answer as an ordered pair.


-5x+2y=10

Answers

The y-intercept is 5
B/c when you solve the equation for y you get
y=5/2x+5
So replace

Mr. Morgan ingested $20,000 dollars in an account earning 4.5% annual interest. How many years would it take for him to earn $5,400 in simple interest?

I know the answer is 6 but I just don’t know HOW

Answers

Answer:

6

Step-by-step explanation:

I will mark BRAINLIEST ​

Answers

Answer:

Im cochie man and give me points plz i need em im sorry :(

Step-by-step explanation:

ILL MARK BRAINLIEST PLS NEED HELP

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

These type of problems could be a little tricky so I'll explain this one as I go.

So the first step I would do is to multiply the 8 in both sides so you end up with...[tex]x+11=-24[/tex]

After that it should be easier and you'll go at it normally by subtracting the 11 in both sides and that should leave you with the answer of [tex]x=-35[/tex]

how are translations described mathematically

Answers

Answer:

In geometry, a translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. This is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.

The double number lines show the ratio of yards to miles.



How many yards are in 555 miles?

Answers

There 976,800 yards in 555 miles.
976,800 is the correct answer

Which of the following groups of numbers are integers?
A-4, 8, -54, 29
B-22,1/2,0,88

C 25, 89, 16, -5

g. 3/8 22, 19,0

Answers

A and C are the correct answers
a - 4,8,-54,29
b- 22,1/2,0,88

12x = 40.8 find the number for the variable
4.3
3.4
4.4
489.6

Answers

Answer:

3.4

Step-by-step explanation:

Equation:

12x = 40.8

Isolate the variable:

x = 40.8/12

x = 3.4

Answer:

x = 3.4

Step-by-step explanation:

12x = 40.8

40.8 / 12 = 3.4

x = 3.4

Help urgent!!!!!!!!!!!

Answers

Answer:

X= -5x hope this helped :)

Matrix elements! Can someone help

Answers

Answer:

2

Step-by-step explanation:

The number is in the fifth row  and first column so 2

Which graph represents the function f(x) = –|x + 3|?

Answers

Answer:

Step-by-step explanation:

f(x) = –|x + 3| is a case of the absolute value function

f(x) = -|x - {a}| + c, where (a, c) is the vertex.  Comparing them, we see that

the value of a must be -3 and that of c must be 0.

Thus, the vertex of the graph is at (-3, 0), and the graph opens up; it looks like a "v" shape.

Next time, kindly share the given graphs.

Answer:

third graph

Step-by-step explanation:

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