The values of m and n are whole numbers greater than 1. Which is true about the quotient

The Values Of M And N Are Whole Numbers Greater Than 1. Which Is True About The Quotient

Answers

Answer 1

Answer:

"The expression will always equal m" is true about the quotient of [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex]

Step-by-step explanation:

Let us solve the question

∵ The expression is [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex]

→ In the division of fractions, we change the division to multiplication

   and reciprocal the fraction after the division sign

∵ The reciprocal of  [tex]\frac{1}{n}[/tex] is [tex]\frac{n}{1}[/tex]

∴  [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex] =  [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex]

→ In the multiplication of fractions, we can simplify the terms in

    the numerators by the terms in the denominators

∵ There is n in the numerator and denominator

∴ Cancel n up and down

∴  [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex] = [tex]\frac{m}{1}[/tex]

∴  [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex] = m

∴  [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex] = m

The quotient is m

The expression will always equal m


Related Questions

A bottle contains 15 marbles: 9 are white and 6 are green. What is the
probability of picking a white?

Answers

Answer:    3/5

Step-by-step explanation:

Fist find  out how many whites are there and divide it by the total to find the probability.

9/15   simplify it to  3/5

If you can explain and show me the answers that would be great!​

Answers

Answer:

1) B=-12

2) 189.69

Step-by-step explanation:

Explanation 1: To find B, we have to replace the given points in the equation, that is , x=2 and y=1

[tex]3x+By+6=0\\3.2+B.1+6=0[/tex]

Then we solve for B.

[tex]6+B+6=0\\B+12=0\\B=-12\\[/tex]

Hence , B=-12

explanation 2: you have the following equation for the number of liters 3% milk:

[tex]0.03+0.1(200)-x=0.05(200)[/tex]

Solve the previous equation for x:

[tex]0.03x+20-x=10[/tex]

[tex]0.03-x=10-20\\-0.97x=-10\\x=10.31[/tex]

Hence , there are 10.31 liters of 3% milk  

Add the numbers of liters 10% butterfat is :

[tex]200-10.31=189.69 liters[/tex]

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An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream a customer gets to choose a cone and a type of ice cream how many events are described

Answers

Answer:

2 events are described.

Step-by-step explanation:

Because only three types of cones and 31 flavours of ice cream.

QUESTION 8
Some seventh-, and eighth-grade students.spend time at
the elementary school tutoring students. Of the students
who tutor, 21 are seventh-graders and 18 are
eighth-graders. What percent of the tutors are
seventh-graders?
A) 54%
B) 46%
C) 52%
D) 21%

Answers

54 percent

You add the two together to get 39, then divide 21 by 39. This gives you 0.538, which turns into 54%

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A teacher has two daughters that are now older. But when they were little, they had a lot of toys! They had about 100 more frozen toys than mermaid toys (which we'll call r for "regular")Which expression shows how many Frozen toys they had?

r+100

100

r-100

100r

Answers

Answer:

r-100

Step-by-step explanation:

R-100 R-100 R-100

Look at the picture!
Please I need help!

Answers

The rule would be y=2x+5 for the table.

In an on-line survey, a school learns that 77 of 100 parents prefer to receive the newsletter electronically. How many paper newsletters would the school estimate are needed if there are 650 parents?

Answers

77% of the school want electronic newsletters, so 23% of the school want physical paper newsletters.

77% of 650 is 500.5.
23% of 650 is 149.5.

650/100 = 6.5
6.5x77 = 500.5
6.5x23 = 149.5

It's best to round that figure up to 150 as there will not be a parent who only needs half of the newsletter.

The number of paper newsletters the school needed is given by the equation A = 149.5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of paper newsletters the school needed be A

Now , the equation will be

The percentage of parents who prefers newsletters electronically = 77 %

So , percentage of parents who prefers paper newsletters = 100 % - 77 %

The percentage of parents who prefers paper newsletters = 23 %

The total number of parents = 650

So , the number of paper newsletters the school A = percentage of parents who prefers paper newsletters x total number of parents

Substituting the values in the equation , we get

The number of paper newsletters the school A = ( 23/100 ) x 650

The number of paper newsletters the school A = 149.5

Therefore , the value of A is 149.5

Hence , the equation is A = 149.5

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How do you solve this?

Answers

Answer:

24 square root of 5

Step-by-step explanation:

Do you need the steps?

Answer:

22.63

Step-by-step explanation:

direct method through calculator

Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?​

Answers

Answer: B.) 8 Puzzles and 840 pieces

A triangle has angle measurements 24º and 85°. What is the measure of the remaining angle?
Enter your answer in the box.

Answers

Answer:

71 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180.

180 - 24 - 85 = 71.

The required measure of the remaining angle would be 71°

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

A triangle has angle measurements of 24º and 85° which is given in the question.

The linear pair of angles are adjacent angles the sum of their measures is 180°

∵ The two angles form a linear pair

∴ The sum of the two angles = 180°

Let the measure of the remaining angle would be x

⇒ 24° + 85°  + x = 180°

⇒ x = 180 - 24° - 85°

⇒ x = 71°.

Therefore, the required measure of the remaining angle would be 71°

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The number of pages in an Algebra 1 book is 99 less than the number of pages in a gemomerty book. Write and solve an equation to find the number n of pages in the geomerty book

Answers

Answer:

n = a + 99

Step-by-step explanation:

Given that :

a = number of pages in algebra book 1

n = number of pages in geometry book

a = n - 99

The number, n of pages in a geometry book is ;

Pages in algebra book = (pages in geometry book - 99)

a = n - 99

a + 99 = n - 99 + 99

a + 99 = n

which statement and reason best complete the proof

Answers

Answer:

Segment EG ≅ segment EG by the reflexive property.

Step-by-step explanation:

In the diagram given, already, two angles (<H and <HEG) of ∆HEG has been stated to be equal to two corresponding angles (<F and <FGE) of ∆FGE.

To prove that ∆HEG is congruent to ∆HEG by the Angle-Angle-Side Congruence Theorem, we need to state that they also have one corresponding side that is congruent.

Therefore, the statement and reason that will complete the proof would be:

Segment EG is congruent to segment EG by the reflexive property.

Both triangles share the same segment, EG. This completes the proof.

John works for a company that cuts down dead trees for the city. He needs to determine the height of the tree to ensure safety. He chooses a point 10 m from the base of the tree. From this point, the angle of elevation to the top of the tree is 46°. Determine the height of the tree to the nearest tenth of a meter.

Answers

Answer:

10.4m

Step-by-step explanation:

We solve the above question using the Trigonometric function of Tangent.

The formula is given as:

tan θ = Opposite/Adjacent

θ = Angle of Elevation = 46°

Opposite = Height of the tree = x

Adjacent = Distance from the base of the tree = 10m

Hence:

tan 46 = x/10

Cross Multiply

x = tan 46 × 10

x = 10.355303138m

Approximately to the nearest tenth = 10.4m

target sells sweaters and sneakers in the ratio 1:3.The store sold 9 sweaters yesterday.How many sneakers were sold?

Answers

Answer: 27

Step-by-step explanation: since the ratio is 1:3 u mutiply

1 by 9 which equals nine and then u multiply 3 by 9 and u get 27. This should be right I am sorry if it isn't.

kristen is building a pattern using triangles, the table shows the number of triangles in the first 4 terms of that pattern. which formula describes the number of triangles in the nth term of the pattern.

A. n=t+2
B.n=t+3
C. n=2t-1
D. n=2t + 3​

Answers

Answer:

its C. im doing test to i saw different page

Step-by-step explanation:

diff pge

How to put 1/25 as fraction simplified

Answers

Answer:

1/25

Step-by-step explanation:

1/25 is simplified, as 1 and 25 have no common factors.

(Unless you're saying 1/5 * 1/5?)

Fraction 1/25 is Already in its simplest form. It may be expressed in decimal form as 0.04

To simplify the fraction, we have to divide the numerator and denominator by their greatest common divisor (GCD).

Do the factorization of numerator and denominator

1 can be written as [tex]1\times1[/tex]

And 25 can be written as [tex]1\times5\times 5[/tex].

After factorization, we see that 1 is the greatest factor, which is common in both.

Divide the numerator and denominator by their greatest common divisor (1).

[tex]\dfrac{1 \div 1}{25\div1}[/tex]

[tex]=\dfrac{1}{25}[/tex]

Hence, 1/25 can not be further simplified.

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A biology test is worth 100 points and has 36 questions.

a. Multiple-choice questions are worth 2 points each and essay questions are worth 6 points each. How many questions of each type are on the test?

b. Your friend says that it is possible for the multiple-choice questions to be worth 4 points each. Is your friend correct? Explain.

Answers

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

[tex]M + E= 36[/tex] --- Number of questions

[tex]2M + 6E = 100[/tex] --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in [tex]M + E= 36[/tex]

[tex]E = 36 - M[/tex]

Substitute 36 - M for E in [tex]2M + 6E = 100[/tex]

[tex]2M + 6(36 - M) = 100[/tex]

[tex]2M + 216 - 6M = 100[/tex]

Collect Like Terms

[tex]2M - 6M = 100 - 216[/tex]

[tex]-4M = - 116[/tex]

Divide both sides by -4

[tex]M = \frac{-116}{-4}[/tex]

[tex]M = 29[/tex]

Substitute 29 for M in [tex]E = 36 - M[/tex]

[tex]E = 36 - 29[/tex]

[tex]E = 7[/tex]

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

[tex]2M + 6E = 100[/tex] would be:

[tex]4M + xE = 100[/tex]

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

[tex]4 * 29 + x * 7 = 100[/tex]

[tex]116 + 7x = 100[/tex]

Subtract 116 from both sides

[tex]116-116 + 7x = 100 -116[/tex]

[tex]7x = 100-116[/tex]

[tex]7x = -16[/tex]

Make x the subject

[tex]x = -\frac{16}{7}[/tex]

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

Your friend is incorrect.

The test contained 29 multiple choice questions and 7 essay questions.

Let x represent the number of multiple questions and y represent the number of essay questions.

Given that there are a total of 36 questions, hence:

x + y = 36    (1)

Also, the test is worth a total of 100 points, hence:

2x + 6y = 100   (2)

Solving equation 1 and 2 simultaneously gives:

x = 29, y = 7

Therefore the test contained 29 multiple choice questions and 7 essay questions.

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- The output of a function is 3 less than 6 times the
input. Find the input when the output is 15.

Answers

Answer:

(15+3)/6= the input

18/6= 3

since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:

6*3= 18

and 18-3= 15 so it checks out.

Step-by-step explanation:

I hope this helps :)

The double number line shows that 5 kilograms of avocados cost $9 dollar .



Based on the ratio shown in the double number line, what is the cost for 1 kilogram of avocados?

Answers

Answer:

hii hope it helps

Step-by-step explanation:

sorry for these pics

Somebody please help me

Answers

Answer:

A). Scale factor = [tex]\frac{1}{4}[/tex]

B). Length of the unknown side = 2.75 feet

Step-by-step explanation:

Part A

Since, the large rectangle was scaled by a scale factor 'k' to form the smaller rectangle,

Scale factor = [tex]\frac{\text{Side length of the image}}{\text{Side length of the preimage}}[/tex]

                    = [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]

                    = [tex]\frac{4}{16}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Part B

Scale factor = [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]

[tex]\frac{1}{4}=\frac{\text{Side length of the smaller rectangle}}{11}[/tex]

Therefore, side length of the unknown side = [tex]\frac{11}{4}[/tex] = 2.75 feet

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The number of weekly social media posts varies directly with the square root of the poster's age and inversely with the cube root of the poster's income. If a 16-year-old person who earns $8,000 makes 64 posts in a week, what is the value of k?

Answers

Answer:

k= 320

.................

A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cookie?


1/9

1/3

2/21

2/3

Answers

2/21 is the answer to the question

The probability of picking a chocolate chip cookie is 1/3.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A box contains 5 chocolate chip cookies, 4 sugar, and 6 oatmeal raisin.

N represents no. of.

So, N(S) = 5 + 4 + 6 = 15.

N(CC) = 5, N(SR) = 4 and N(OR) = 6.

∴  The probability of picking a chocolate chip cookie is = N(CC)/N(S).

= 5/15.

= 1/3.

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What is the gradient of the blue line?​

Answers

Answer:

gradient = - 5

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

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

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5

Gabby has 20 coins in her pocket that are quarters, dimes, and nickels. The total value of the coins is $2.70. The number of nickels that she has is equal to the number of quarters plus the number of dimes. Choose the system of equations that can be solved to find the number of quarters, 9, dimes, d, and nickels, n, that Gabby has.

Answers

Answer:

There's 9 nickels and no dimes

Step-by-step explanation:

the quarters equal $2.25

so there is at least 9 nickel's witch equals .45 cents add them and get $2.70 so

The system of equations to find the number of quarters, 9, dim, d, and nickels, n, that Gabby has are;

n = q + dn = 10q +d = 10

Since, the total value of quarters, dim, and nicke is; $2.70.

Since the number of nickels that she has is equal to the number of quarters plus the number of dimes; we have;

n = q + d

Since, Gabby has 20 coins in her pocket.

n + q + d = 20

Therefore 2n = 20 from n = q + d

n = 10

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1

Mary and Darryl are selling flower bulbs for a school fundraiser. Customers can buy bags of

windflower bulbs and bags of daffodil bulbs. Mary sold 10 bags of windflower bulbs and 4

bags of daffodil bulbs for a total of $226. Darryl sold 6 bags of windflower bulbs and 4 bags of

daffodil bulbs for a total of $166. What is the cost each of one bag of windflower bulbs and

one bag of daffodil bulbs?

Answers

Answer:

15 windflower bulbs

19 daffodil bulbs

Step-by-step explanation:

Given

Represent windflower with W and daffodil with D.

So:

Mary's sales is:

10W + 4D = 226 --- (1)

Darryl's sales is:

6W + 4D = 166 ---- (2)

Required

Solve for W and D

We'll make use of elimination method.

Start by subtracting (2) from (1)

10W - 6W + 4D - 4D = 226 - 166

4W = 60

Multiply both sides by ¼

¼ * 4W = 60 * ¼

W = 60 * ¼

W = 15

Substitute 15 for W in (1)

10W + 4D = 226

10 * 15 + 4D = 226

150 + 4D = 226

Collect like terms

4D = 226 - 150

4D = 76

Multiply both sides by ¼.

¼ * 4D = 76 * ¼.

D = 19

8, 6, 4, 2, 0, ...
The first 5 terms of a linear sequence are shown above.
What is the 100th term in the sequence?

Answers

9514 1404 393

Answer:

  -190

Step-by-step explanation:

The n-th term of an arithmetic (linear) sequence is given by ...

  an = a1 +d(n -1)

where a1 is the first term (8) and d is the common difference. We note that each term is 2 less than the one before, so the common difference is -2.

  an = 8 -2(n -1)

Then the 100th term is ...

  a100 = 8 - 2(100 -1) = 8 -198 = -190

The 100th term is -190.

x/3 - 1/2 = 10

show work

Answers

Answer:

x = 63/2

Step-by-step explanation:

x /3  =  21 /2

3 . x/3 = 3 . 21/2

x  =  63 /2

What is the y-value of the solution to the following system of linear equations? Y=x+8
x+2y=1

A.-7
B.-5
C.3
D.13

Answers

Answer:

X is -5

y is 3

Step-by-step explanation:

X is -5 y is 3 why well if u break it down it’ll help give u the answer ig

98 = 3y - 4 whats tha answer

Answers

Answer:

y = 34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

you would add 4 to both sides and get

102=3y

then you would divide by three and get

34=y

Select the correct answer.
ОА
Which equation represents the line that is perpendicular to y = $5 + 23 and passes through (-40,2012
- 15
y = - = - 30
= 5 + 52
= - 56
ОВ.
Ос. y =
OD.

Answers

Answer:

The question is written kinda bad, so i take the next two assumptions:

The original line is:

y = 5*x + 23

And we want to find a perpendicular line that passes through the point (-40, 2012)

Suppose that we have a linear equation:

y = a*x + b

A perpendicular line to this one, will have a slope equal to -(1/a)

Then a random perpendicular line to the one above, is:

y = -(1/a)*x + c

In this case, we start with the line:

y = 5*x + 23

Then the family of perpendicular lines to this one, will be like:

y = (-1/5)*x + c

Where c can be any real number.

Now, we also want this line to pass through (-40, 2012)

This means that when x = -40, the value of y must be 2012

We could replace these values in our equation above and solve it for c.

2012 = -(1/5)*(-40) + c

2012 = 40/5 + c

2012 = 8 + c

2012 - 8 = c = 2004

Then the equation is:

y = -(1/5)*x + 2004.

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