Mathematics Middle School

If n is divided by 7 the remainder is 3. What is the remainder if 3n is divided by 7?

Answers

Answer 1
So, if n Divided by 7 = 3 , then n must be 21, because if you do 3 x 7 it equals 21, so now we know n is 21, then that means its 3 x 21 divided by 7 which is 9. Hope i helped ^-^
Answer 2

Final answer:

If an integer n, when divided by 7, leaves a remainder of 3, then multiplying n by 3 and dividing by 7 will leave a remainder of 2.

Explanation:

Let's solve the problem where n when divided by 7 leaves a remainder of 3 and find the remainder when 3n is divided by 7. According to the information, if n divided by 7 leaves a remainder of 3, we can express n as 7k + 3 for some integer k.

To find the remainder when 3n is divided by 7, substitute 7k + 3 for n: 3n = 3(7k + 3) = 21k + 9. We can further simplify this to 21k + 7 + 2, or 7(3k + 1) + 2. Here, it's evident that when 21k + 9 (or similarly 7(3k+1)+2) is divided by 7, it leaves a remainder of 2.

Related Questions

Jason ate one third of a pizza for dinner, and his brother ate one sixth of the same pizza.What portion of the pizza was left over?

Answers

One third = 2/6
2/6 + 1/6 = 3/6 = 1/2
They ate half a pizza.
That leaves the other half as the remainder

Jason and his brother ate a total of one half of the pizza when their portions, one third and one sixth respectively, are combined. Therefore, one half of the pizza was left over.

To calculate this, we add the fractions of the pizza that were consumed together:

Jason's portion: 1/3
Brother's portion: 1/6

We find a common denominator, which is 6 in this case, and sum the fractions:

(2/6) + (1/6) = 3/6

After simplifying 3/6, which is one half, we subtract this from the whole pizza to find the portion that is left:

1 - 1/2 = 1/2

Therefore, one half of the pizza was left over after Jason and his brother had their portions.

If the ratio of men to women is 3:2 and there are 120 men, how many women would there be?

Answers

There would be 80 women.
Here's the work:
120 divided by 3 = 40 
If the ratio is 3:2, there is always one less woman then men, so you subtract the 40 men in a group and you get your answer of 80

Hope I helped!! :)
I think the answer is 80, but I'm not quite sure : (

Player Points
Travis 6
Marcus 7
James 17
Taylor 2
Hector 1
Julio 22
Jonah 8
Chris 11
Scott 14

The chart shows the number of points different players scored during a game. What is the ratio of Julio's points to Jonah's points?
A) 1 : 2
B) 2 : 1
C) 4 : 11
D) 11 : 4

Answers

the answer is d 11:4
I believe the correct answer is D.

Figure ABCD is a parallelogram.
What is the value of x?

Answers

X=7 because the side with the equation is the same length as the side that’s 38, so you just subtract 3 from 38 and then divide 35 by 5. You get 7. So, x=7

Hope this helps:)
Please rate branliest
Hey there :)

A parallelogram is a quadrilateral which has 2 parallel sides

We can conclude that
AD = BC
5x + 3 = 38
Subtract 3 
5x = 38 - 3
5x = 35
Divide by 5 to isolate x
[tex] \frac{5x}{5} = \frac{35}{5} [/tex]
x = 7

If 4/5 X a= 2/5, what is a?

Answers

the answer is a=1
                          --
                          2
I really hope this helps

a is 1

any variable with nothing
in front of it is always 1

6x+8=7x+13

one solution
infinite solution
no solution

which one?

Answers

If it is referring to the number of solutions for the x value, then it would be one solution :)

The simplification 6x + 8 = 7x + 13 is one solution. The correct option is A.

What is one solution?

There is just one correct answer to some equations. There is only one value for the variable in these equations that causes the equation to be true.

If you solve an equation and the result is a variable equal to a number, the equation has just one solution. There is only ever one real number solution to a quadratic problem. A system is deemed consistent if it has at least one solution.

A consistent system is independent if it only has one solution. A consistent system is dependent if there are an endless number of possible solutions. Both equations show the same line on a graph when you plot the equations.

Therefore, the correct option is A, one solution.

To learn more about one solution, refer to the link:

https://brainly.com/question/29093214

#SPJ2

A scale on a hiking map shows that 1.5 inches =4 miles. What number of actual miles are represented by 6 inches on the map?

Answers

16. miles............

a 15-ft ladder is leaning against one wall of an alley 9 ft wide. the ladder slips, its top sliding down the wall, its foot sliding across the alley and striking the opposite wall at a speed of 4 ft/sec. How fast is the top of the ladder falling at that instance?

Answers

2x dx/dt +2y dy/dt = 0 
x dx/dt + y dy/dt = 0 
9*4 + 12 dy/dt = 0 
dy/dt = - 3 ft/sec 

The equation - 5x² + 72x + 378 models the number of students enrolled in a school where x is the number of years since the school first opened in 1990. Which statement is true? A - Enrollment exceeded 650 students at one point B Enrollment never exceeded 650 students C The highest enrollment of any year was exactly 650 students D There were two years where 650 students were enrolled

Answers

i think the answer is a


Howard planted a tree in his front yard six months, one week, and two days ago. If today is August 13th, what day did Howard plant the tree in his yard?

A. February 4
B. February 13
C. February 20
D. February 22

Answers

For this to be easier, we know the date is February, since we are subtracting the 6 months. So let's start with February 13th, and subtract a week. One week is equal to 7 days, so 13-7= 6. We're now on February 6th, and we still have to subtract 2 days. 6-2=4, so we are at our date. A, Howard planted a tree in his front yard on February 4th.

Answer: February 4

Step-by-step explanation:

The ratio of the corresponding linear measures of two similar cans of fruit is 4 to 7. The smaller can has a surface area of 220 square centimeters. Find the surface area of the larger can

Answers

4/7=220/x. multiply 220 by 7 then divide by 4. x=385 square centimeters.

c/9 - 8 = 17
Solve the equation and show all work please show steps!!

Answers

C/9 - 8 = 17
------------
Simplify
1/9c - 8 = 17
----------------
Add 8 to each side
1/9c - 8 + 8 = 17 + 8
1/9c = 25
--------------------
Multiply each side by 9
9 * 1/9c = 9 * 25
c = 225

can you tell me the solution to -3 (p + 1) equal to -18

Answers

-3p-3=-18
-3p=-18+3
-3p=-15
p=5
Hi there!

The answer to the inequality given is p ≥ 5

To get there follow these steps:
1. Distribute the -3, -3p-3≤-18
2. Add -3 to both sides, {-3p (-3 + 3 = 0) ≤ (-18 + 3 = -15)} = -3p ≤ -15
3. Divide both sides by -3, [tex] \frac{-3p}{-3} [/tex] ≤ [tex] \frac{-15}{-3} [/tex]
4. The final answer is p ≥ 5

If you need this graphed see below:

-ASIAX   Frequent Answerer

A recipe for fruit punch uses 3 cups of apple juice for every 2 cups of grape juice. The table and graph show how many cups of each to use for different batch sizes. How many cups of grape juice do you need to make a batch that contains 12 cups of apple juice?

Answers

So... first you see that you have 12 cups of apple juice. Just do 12 divided by 3 and you'll get 4. Then break the 4 into ones and for every one you'll have two cups of grape juice. So.... 4 batches of punch will require 8 cups of grape juice.

If a quadrilateral has sides that measure 4 in. and angles that all measure 90°, we can consider the quadrilateral to be a/an

Answers

since all the sides are equal and the angles are 90 degrees
 it would be a square

In the figure, lines a, b, and c are parallel and m∠4=48° .

Drag and drop the correct angle measure for each angle.

Answers

m∠4=48° 
m<1 = m∠4=48° 
m<2 = 180 - 44 = 132
m<3 = m<2 = 132
m<5 = m∠4=48° 

The values of each angle are:

∠1 = 48

∠2 = 132

∠3 = 132

∠5 = 48

We have,

∠4 = 48

∠4 and ∠5 are corresponding angles.

so,

∠5 = 48

Now,

∠3 and ∠4 make a straight angle.

So,

∠3 + ∠4 = 180

∠3 = 180 - 48

∠3 = 132

Now,

∠2 and ∠3 are alternate angles.

So,

∠2 = ∠3 = 132

Now,

∠1 and ∠2 make a straight angle.

So,

∠1 + ∠2 = 180

∠1 = 180 - 132

∠1 = 48

Thus,

∠1 = 48

∠2 = 132

∠3 = 132

∠5 = 48

Learn more about angles here:

https://brainly.com/question/1597341

#SPJ2

What is the area of a circle with a radius of 7?

Answers

A = pi r^2
A = 3.14 x 7^2
A = 3.14 x 49
A = 153.86

what is the value of 4 in 546210

Answers

The value of 4 in 546210 is 40000.
To find the answer, you just need to understand one 'trick': replace al the following numbers with zeroes and delete the numbers which are in front of the number you are looking for, so: 546210 -> 540000 -> 40000
(In words, your answer is fourty thousand)

Lee wants to cut this piece of canvas into two rectangles that are 3x2 and 3x5. He wants the sum of the two small rectangles to be the same as the area of the large rectangle. Can he do this? explain

Answers

Yes he can because if you multiply 3x2 and 3x5 and find the sum which is 6 and 15 find TLCM you get 30 so yes

List all the angles which are congruent to angle A!! ( a pair of parallel lines is cut by a transversal as shown in the figure)

Answers

Answer: A, C, E, & G

Step-by-step explanation:

Solve for y 3/11 = 6/y

Answers

Y would be equal to 22

Answer:

Khan academy says 22 is the correct answer

Step-by-step explanation:

It just does

Find the missing number(?) so that the equation has no solutions. ?x+3=3(-x+7)

Answers

I think the answer is -3
?x+3=3(-x+7)

?x+3=-3x-21

?x = -3x-21-3

?x +3x = -24

(?+3) x = -24

the equation has no solutions if  (?+3)=0
?+3=0
? = -3

what is 3.87 rounded to the nearest tenth

Answers

The answer is 3.9
Hope this helps

First, find the digit in the tenth places; which is 8. Then look to the digit right of that number. Is it less or more than 5? Well, 7 is more than 5, so we round up.

3.87 => 3.9

Which expression represents the prime factorization of 84?

Answers

Hello,

The answer would be "2^2*3*7".

Reason:

The prime factorization of 84 is 84:

Therefore wrote in a expression would equal....

2^2*3*7

2^2=4

4*3=12

12*7=84

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Can someone please help

Answers

x= # tickets Shaun sold
1/2x+3= # tickets Trudy sold

Add them together.

= x + (1/2x + 3)
combine like terms
= (x + 1/2x) + 3
= 1 1/2x + 3
convert to improper fraction
= 3/2x + 3

ANSWER: 3/2x + 3 (3rd choice down)

Hope this helps! :)

How many unit cubes are in the rectangular prism?

A)
12 cm3
Eliminate

B)
15 cm3


C)
20 cm3


D)
60 cm3 What is the BEST estimate for the capacity of a bath tub?

A)
50 fluid ounces


B)
50 gallons


C)
50 cups


D)
50 pints

Answers

the answer is D) 60 because to find the answer you have to do length times width times height and if you do that you get 60

yadeeeeeeeeeeeeeeeeydaeeeeeeeeeeeeeeeeeeeeeeeee

15 POINT QUESTION! Multiply and simplify. (4x−2)(3x^2−2x+1)

Answers

To answer this, first, you need to multiply the first bracket to the second bracket. Then, it will show like this: 4x(3x^2)-4x(2x)+4x(1)-2(3x^2)-2(-2x)-2(1)= 12x^3-8x^2+4x-6x^2+4x-2.
Then simplify them by adding or subtracting the same objects (same exponents and same variables). If they don't have the same objects, just let them be.
The final answer will be: -12x^3-14x^2+8x-2
The correct answer is 12x³-14x²+8x-2.

Explanation:
We use the distributive property:
4x*3x² - 4x*2x + 4x*1 - 2*3x² - 2*(-2x) - 2*1 = 12x² - 8x² + 4x - 6x² + 4x - 2.

Combining like terms, we have 12x³-14x²+8x-2.

What are the amounts of interest and maturity value of a loan for 150,000 at 6 1/2% simple interest for 3 years?

Answers

The formula for computing the amount of simple interest is:

I = Prt

Where P = principal amount of the loan

             r = interest rate of the loan

             t = duration of the loan

Substituting the amounts in the formula,

I = (150,000) (6.5%) (3)

  = 29,250

To compute for the maturity value, you have to add the interest to the principal amount:

Maturity value = 150,000 + 29,250 = 179,250

Final answer:

To calculate the amount of interest and maturity value of a loan, use the formula: Interest = Principal × Rate × Time. In this case, the interest is $29,250 and the maturity value is $179,250.

Explanation:

To calculate the amount of interest and maturity value of a loan, we can use the formula:

Interest = Principal × Rate × Time

Maturity Value = Principal + Interest

In this case, the principal is $150,000, the rate is 6.5% (0.065 in decimal form), and the time is 3 years.

Step 1: Calculate the interest

Interest = $150,000 × 0.065 × 3 = $29,250

Step 2: Calculate the maturity value

Maturity Value = $150,000 + $29,250 = $179,250

Therefore, the amount of interest is $29,250 and the maturity value of the loan is $179,250.

Learn more about Simple Interest here:

https://brainly.com/question/40405117

#SPJ3

Which formula can be used to describe the sequence? , −4, −24, −144,...

Answers

-4 to -24 you have to multiply 6

-24 x 6 = -144

Formula

a(n) = -4x6(n-1)

Answer:

[tex]An= -4(6)^{n-1}[/tex]

Step-by-step explanation:

−4, −24, −144,...

There is no common difference

-24/-4= 6

-144/ -24= 6

common ratio = 6

when there is a common ratio then it is an Geometric sequence

[tex]An= a1(r)^{n-1}[/tex]

a1 is the first term = -4

r is the common ratio = 6

Formula becomes

[tex]An= -4(6)^{n-1}[/tex]

A computer randomly selects a number from the given set.

{18, 47, 51, 60, 63, 65}

What is the probability that a number greater than 50 is selected?

Enter your answer as a fraction, in simplest form, in the box.

P(> 50) =

Answers

It is 4/6 or 2/3. The percentage is 66.6666666% for that outcome
2/3 possibility. Out of the six possible numbers, 4 are greater than 50. That means the probability is 4/6. 4/6 simplified is 2/3.   
Other Questions
Find the second of 3 consecutive integers if the sum of the first and the third is 26 What is the speed limit in Nicaragua on average compared to the USA? state if the polygons are similar What is (-102.75) divided by (-3) rounded to the nearest hundredth 1. Which best describes the effect of adding the prefix un- to a word?1) It strengthens the meaning 2) It weakens the meaning 3) It makes the opposite meaning4) it changes a word from an adjective to a noun2. Why does Robert Frost allude to Eden in " Nothing Gold Can Stay"?1) Eden's short-lived perfection is similar to the temporary perfection of nature's first green2) Eden is known to be filled with gold 3) Eden is a place that remained perfect forever, just like the world described in Frost's poem.4) Eden is a place that Frost visited many times3. Review the theme. The world is full of natural beauty. Which best explains how the "Barter" by Sara Teasdale and "Beauty" by E-Yeh-Shure' develop this theme?1) They use sensory appeals to describe the natural world. 2) They demonstrate the dangers of the natural world.3) They explain the temporary qualities of natural beauty.4) They show how the world looks as a storm approaches.4. Review the metaphor. I was angry with my foe:I told it not, my wrath did grow.And I water'd it in fears,Night and morning with my tears:And I sunned it with smiles,And with soft deceitful wiles.And it grew both day ad night,Till it bore an apple bright;And my foe beheld it shine,Which best explains the meaning created by the metaphor?1) The speaker's anger grew bigger with than a tree.2) The speaker thinks preserving the natural world is more important than holding a grudge.3) The speaker nurtured his anger as one would nurture a tree 4) The speaker's foe tried to harm his prized tree5. Review the passage.There is no Frigate like a BookTo take us Lnds awayNor any Coursers like a page Of prancing Poetry-This Traverse may the poorest takeWithout oppress of Toll-How frugal is the ChariotThat bears the Human soul. Which best explains the function of the dashes that end lines 4 and 6?1) They are meant to confuse readers 2) They give her writing its humor3) They are very ordinary and similar to other poets' work4) They help readers know when to slow down their reading Find the mean, median, mode, and range of this data : 49,49,54,55,52,49,55. What change occurs to the mass of an object when an unbalanced force is applied to it? The mass increases. The mass decreases. The mass remains the same. The mass reduces to zero. The mass changes by an indeterminate amount which of the following terms relate to the meaning of "physical" Placing a catheter into the aorta or directly into an artery or vein is called how do u write 0.16 in words 1. What form of government was first formed in ancient Greece? (1 point)MonarchyDictatorshipDemocracyOligarchy What are the three primary components of an Inbox? What was the purpose of Operation Torch??a]To regain control of North Africab]To create a front in Western Europec]To protect oil fields in the Soviet Uniond]To deprive the Japanese of raw materials A band changes a fast-paced rap song by singing the words to quiet guitar strums.Which type of interpretation is most likely used here? A.Shift in tone B.Approach C.Character depiction D.Adaptation of setting How far is it from the log ride to the pirate ship? what are the four main ideas of physical science, What kind of mixture is blood EXPERTS/ACe/GENIUSES HeLPp PLZ a good introduction and body paragraph with jellyfishes ? What do I need to convert mass of product to ma's of a reactant