What is the first step to prove that 9n - 4n is divisible by 5?

Answers

Answer 1

Answer:

Collect like terms, ie do 9n-4n = 5n ...

5n will then be exactly divisible by 5 as 5n / 5 = n


Related Questions

The circle below is centered at the point (4,-3) and has a radius of length 3. What is its equation? 6 O A. (x - 4)2 + (y + 3)2 - 32 W O B. (x-3)2 + (y + 4)2 = 9 ОООО C. (X- 3)2 + (y - 4)2 = 9 D. (x + 4)2 + (y - 3)2 = 32. ​

Answers

Answer:

[tex](x-4)^2+(y+3)^2=9[/tex]

Step-by-step explanation:

Standard Form equation of a circle with center (h, k) and radius r:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Plug in given values: h = 4, k = -3, r = 3.

[tex](x-4)^2+[y-(-3)]^2=3^2\\\\(x-4)^2+(y+3)^2=9[/tex]

The tricky part can be the sign in the y squard term:  y - (-3) = y + 3.

Condos in Georgetown go up in value by 10% each year. If the Sutton family's condo is now worth $120,000, what will it be worth in 8 years?

Answers

With 8 percent increase each year the Sutton family's condo's worth in 8 years will be $216000.

What is exponential function?

An exponential function is a mathematical function in the form f(x) = ax, where {x} is a variable and {a} is a constant which is called the base.

Given is that Condos in Georgetown go up in value by 10% each year. Sutton family's condo's current worth is $120,000.

We can write the function to calculate the worth after {T} years as follows.

A{T, R} = A{I} {1 + RT}

A{T, R} = {120000} {1 + (10/100) x 8}

A{T, R} = {120000} {1 + 0.1 x 8}

A{T, R} = {120000} {1 + 0.8}

A{T, R} = {120000 x 1.8}

A{T, R} = 216000

Therefore, the Sutton family's condo's worth in 8 years will be $216000.

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What is 2(−2x+1)−5x+2= -23

Answers

Answer:

Step-by-step explanation:

To solve this equation, you will need to manipulate the equation in order to isolate the variable x on one side of the equation. Here is one way you could solve this equation:

Begin by distributing the 2 on the left side of the equation: 2(-2x+1) = -46 + 2x.

Next, distribute the -5 on the right side of the equation: 2(-2x+1) = -23 - 5x.

Combine like terms on the right side of the equation: 2(-2x+1) = -5x - 23.

Combine like terms on the left side of the equation: -4x + 2 = -5x - 23.

Add 4x to both sides of the equation to isolate the variable on one side: 2 = -x - 23.

Add 23 to both sides of the equation: 25 = -x.

Finally, divide both sides of the equation by -1 to solve for x: x = -25.

Therefore, the solution to the equation is x = -25.

Answer:

x=3

Step-by-step explanation:

2(−2x+1)−5x+2= -23

Distribute

-4x+2-5x+2=-23

Combine like terms

-9x+4=-23

Subtract both sides by 4

-9x=-27

Divide both sides by -9

x=3

Hope this helps :)

What is the midpoint of 0 and 5?

Answers

The midpoint of 0 and 5 is 2.5.

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.

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Simplify the expression. Explain each step. 7(9w) 7(9w) = 11 Associative Property of Multiplication Multiply 7 and 9.​

Answers

Answer:

Step-by-step explanation:

7(9w)7(9w) = 11

(7 ×7)(9×9)(w×w) = 11

49 ×81 w² = 11

3969w² = 11

[tex]\frac{3969w^{2} }{3969}[/tex] =  [tex]\frac{11}{3969}[/tex]

w²   =  [tex]\frac{11}{3969}[/tex]

[tex]\sqrt{w^{2} }[/tex]   =   [tex]\sqrt{11/3969}[/tex]

w = ± [tex]\frac{\sqrt{11} }{63}[/tex]

Because the solution contains a square root the answer contains both a negative and a positive solution.  

A research company desires to know the mean consumption of meat per week among males over age 27. They believe that the meat consumption has a mean of 4.7
pounds, and want to construct a 98 % confidence interval with a maximum error of 0.09 pounds. Assuming a variance of 1 pounds, what is the minimum number of
males over age 27 they must include in their sample? Round your answer up to the next integer.

Answers

Answer:

To construct a 98% confidence interval with a maximum error of 0.09 pounds and assuming a variance of 1 pound, the minimum sample size can be calculated using the formula:

n = (2 * standard error of the mean / margin of error)^2

Plugging in the values, we get:

n = (2 * (1 / sqrt(n)) / 0.09)^2

Solving for n, we get n = 832.6. Rounding up to the next integer, the minimum number of males over age 27 they must include in their sample is 833.

Step-by-step explanation:

GEOMETRY HELP PLEASE!6

Answers

You can go on there website and get there answers on there. Search up delta math answer key, it will lead you that there cite and click on which lesson your in then skip questions until you find the one your at

Jack spent half of his weekly allowance on video games. To earn more money his parents let him wash the car for $6. What is his weekly allowance if he ended with $15? (do NOT use $ in your answer. Numbers only)

help please

Answers

Answer:

90 is your answer i hope this helps

Step-by-step explanation:

correct answer gets brainlest
Select all of the expressions that could represent 19x50 using
distributive property

1. 19(25x2)
2. 19+25+25
3. (19x25) + (19x25)
4. 19x50
5. 19x25x25
6. (10x50) + (9x50)

Answers

Answer:

1. 19(25x2)

Step-by-step explanation:

19 x 25 = 475

475 x 2 = 950

19(25x2)
= 19(50)

19 x 50

(10x50) + (9x50)

number 1 and 4 and 6

What is the length of the missing leg? If necessary, round to the nearest tenth.

Answers

The length of the other leg is 65 cm

How to find the length of the other leg

From the question, we have the following parameters that can be used in our computation:

Leg 1 = a

Leg 2 = 72 cm

Hypotenuse = 97 cm

The length of the hypotenuse of the right triangle can then be calculated using

Hypotenuse² = Leg 1² + Leg 2²

Substitute the known values in the above equation, so, we have the following representation

97² = a² + 72²

So, we have

a² = 97² - 72²

Evaluate

a² = 4225

Take the square roots

a = 65

Hence, the other leg is 65 cm

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hiii please help!! thank u

Answers

The answer is B Bc it’s not a true proportion
The correct answer is B

I'LL MARK AS THE BRAINLIEST ANSWER PLS HELPP
how many 5 digit even numbers can be formed with the digits 1,2,3,4,5 and 6 if repetition is allowed?​

Answers

i’m 99.9999% sure it’s 60

Help, please
Or else I will send the rock to your house

Answers

Answer:

Hi

The answers is

W=36 ÷ 4

Which choices are correct when determining the distance between - 56 and 69?
-)
A)
The distance is 125 units.
B)
distance --56-69
C)
distance - 1-56-691
D)
The distance is -125 units.
E)
distance --1-56 +691

Answers

The answer is a hope this helps

Answer:

c

Step-by-step explanation:am srry its c

If 16 inches of ribbon costs $2.08, how much will 36 inches of
ribbon cost? Show your thinking.

Answers

4.68

find unit rate by dividing 208 cents by 16 which is 13 than multiply by 36

Answer:

16 inches of ribbon cost- $2.08

36 inches of ribbon cost- ?

36*$2.08/ 16

$74.88/16

= $4.68

Thus, 36 inches of ribbon would cost $4.68

Mrs. Whitaker had a bag of 56 marbles. If 1/4 of the marbles were red and 3/7 were yellow, how many marbles were neither red nor yellow?

Answers

Answer:

38 marbles

Step-by-step explanation:

56 x 1/4 = 14

56 x 3/7 = 24

14 + 24 = 38


Determine if the card below represents a reflection over the x-axis or a
reflection over the y-axis

Answers

Answer:

reflected over x axis

Step-by-step explanation:

The grid is separated into 100 squares. What decimal value is shaded?
A. 0.0027
B. 0.027
C. 0.27
D. 2.7

Answers

C is the correct answer

How can you use cause-and-effect relationships to explain how the difference in air pressure results in the wind direction that you saw in the photograph?

Answers

Answer: Hope This Helps!

Step-by-step explanation:

Changes in air pressure are determined by a variety of forces, including the density and temperature of air masses. When air moves from between areas of high pressure and low pressure, wind directions and speeds may change. The driving force behind changes in air pressure and therefore the creation of wind is gravity.

Jose has $34 to spend at the Texas State Fair. If the entrance ticket costs $12, then how much money does jose have to spend on food and games?

ONE-STEP EQUATIONS APPLICATION II 6TH MATH
WITH EQUATION!

Answers

Answer:

22

Step-by-step explanation:

34-12=22 you just basically subtract 34 and 12 and it gives you 22 but theres the equation too

34-12=22

Jose has 22$ to spend on food and games

What is so yeah can anyone please help me 6(3×-5)=10

Answers

20/9 is the answer that I got
First distribute the numbers,
6(3x+5)=10 becomes 18x-30=10
Then add 30 to both sides, 18x-30+30=10+30.
After that simplify it, 18x=40.
Since x should be alone, divide both sides by 18.
x= 20/9 is the answer.

5 Chapter 3 Test
X
+
orms/d/e/1FAIpQLSe6KTRWYSZGI024oXrwsAChqJkpGlz8jsBYaiJCTAMB-2RfA/viewform?hr_submission=chki
3. What is the value of the 8 in 0.283? Select ALL that apply. *
0.8
0.08
8 x 1/10
8 x 1/100
eight hundredths

Answers

Answer:

0.08, 8 hundreths, 8 x 1/100

Step-by-step explanation:

The first digit before the decimal is a unit.

The first digit after the decimal point is called a tenth

The second digit after the decimal point is called hundreths

The third digit after the decimal point is called a thousandths

The 8 is the second digit after the decimal point.

Therefore the answer is eight hundreths or represented by the decimal form of 0.08

It is also 8 x 1/100 because if we multiply this we get 0.08

In the story "How Tacos Conquered America" and "The Story of Spaghetti and
Meatballs" have a lot of similarities and differences. Read more to find out what they
have in different and what they have in common. Although the stories had a lot of
similarities it also had a lot of differences for reference Where do these beloved foods
have their roots Tacos were Originated in mexico where a owner of taco bell
"There was just one problem. The cooks at the restaurant hated making them! Each cornmeal tortilla shell had to be
individually fried in scalding oil. The cooks had to turn each tortilla by hand until it was perfectly crispy. The process
was dangerous and painful. The cooks had the burns to prove it ".Juvencio Maldonado was going to
change that. He got to work and made his Mechanical fryer which made up to 7 tacos at a time
and no more burns.



Dose this sound good

Answers

uhm Yes it sounds good

HELP!! PLZZZZZZZZZZZZZZZZZZZZZZZ!!!

Answers

Answer:

x (greater than or equal to) -53 *The last bubbled option*

Step-by-step explanation:

What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=14

Answers

Answer:

4x - y = -5

Step-by-step explanation:

The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).

4x - y = 14     becomes     4x - y =  C

Now substitutte -2 for x, -3 for y and calculate C:

4(-2) - (-3) = C, or

-8 + 3 = C = - 5

Thus, the new equation is 4x - y = -5

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

A) y + 1 = -3 ( x - 7 )

Step-by-step explanation:

I used the Desmos website. Hope this helps.

Answer:

A

Step-by-step explanation:

3x + y = 4

y = -3x + 4

y + 1 = -3(x - 7)

Karime walks 3/4 of a mile each day for 5 days. The number of miles karime walks altogether is between which two whole numbers? Lacey chose A that is 0and1 as the correct answer how did she get that answer?

Answers

On solving the provided question, we can say that - by fraction we karime walks = 3/4 so, 3/4  X 5 = 15/4

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

karime walks = 3/4

for = 5 days

so, 3/4  X 5 = 15/4

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a wheel having a diameter of 50 cm. if the elf travels a distance of 25 meters. how many revolutions did the wheel go through

Answers

Approx 16 revolutions the wheel go through to travel the distance 25 meters by a diameter of 50 cm.

In the given question, a wheel having a diameter of 50 cm.

If the elf travels a distance of 25 meters then we have to find how many revolutions did the wheel go through.

Since we have the wheel's diameter, we can determine the radius of the wheel. As we already know, the length of a wheel's revolution is equal to its circumference, which is a circle with a diameter of 2πr.

We will now enter the radius value into the algorithm to determine how many revolutions the wheel must make. To reach the desired result, divide the total distance by the distance covered in one revolution to determine the number of revolutions needed to travel 25 m.

r = [tex]\frac{50}{2}[/tex] = 25 cm

The radius of the wheel is 25 cm.

Now we put the value of r in the formula of circumference.

2πr = 2π×25

2πr = 50π cm

Total distance is 25 m. So we convert m in cm by multiplying the 100.

Now the total distance is 2500 cm.

2500 = n × 50π

Now putting the value of π = 3.14

2500 = n×50 × 3.14

2500 = n×157

Divide by 157 on both side, we get

n = 15.924

n = 16(approx)

Hence, approx 16 revolutions the wheel go through to travel the distance 25 meters by a diameter of 50 cm.

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What are the 4 quadrants called?

Answers

The 4 quadrants are called as Quadrant I, Quadrant II, Quadrant III and Quadrant IV.

The term quadrant in math is also known as the coordinate grid, cartesian coordinate system, or Cartesian plane, are basically constructed by taking a vertical axis, or the y-axis and setting it against a horizontal axis, or the x-axis and it creates a grid with four quadrants.

According to the cartesian system, here the coordinate plane is divided into four equal parts by the intersection of the x-axis and the y-axis such as the vertical number line.

Here the four quadrants are written as,

Quadrant I that is placed upon the upper right quadrant is the first quadrant, denoted as Quadrant I and the value on the x-axis and the y-axis both have positive numbers.

Next one is Quadrant II which is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the y-axis has positive numbers.

Third one is Quadrant III placed on the bottom left quadrant is the third quadrant, denoted as Quadrant III and the value of both the x-axis and the y-axis have negative numbers.

Final one is Quadrant IV which is placed on the bottom right quadrant is the fourth quadrant, denoted as Quadrant IV and here the value of the x-axis has positive numbers and the y-axis has negative numbers.

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Freedom Middle School is holding a fundraiser. The sixth-graders have raised 63% of their goal amount. The seventh- and eighth-graders have raised 0.61 and 2/3 of their goal amounts, respectively. List the classes in order from least to greatest of their goal amounts.

Answers

Answer:

Eighth graders: 2/3 (66%)

Sixth graders: 63%

Seventh graders 0.61 (61%)
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