Mathematics College

4.1 Number Talk: Division

Find each quotient mentally.

645 divided by 100

645 divided by 50

48.6 divided by 30

48.6 divided by x

Answers

Answer 1

Answer:

645/100 = 129/20 or 6.45

645/50 = 129/10 or 12.9

48.6/30 = 1.62

48 divided by x = 48.6/x

Step-by-step explanation:

645/100

Factor the number:

= 5*129/100

Factor the number:

= 5*129/5*20

Cancel the common factor:

= 129/20

645/50

Factor the number:

5*129/50

Factor the number:

5*129 / 5*10

Cancel the common factor:

= 129/10

48.6/30

Write the problem in long division format

Multiply the quotient digit (1) by the divisor (30)

Subtract 30 from 48

Add a decimal and bring down the next number

Divide 186 by 30 to get 6

Continue...A few steps later...

Subtract 60 from 60

Solution is 1.62

48.6/x

Re-write division as a fraction:

48.6/x

Related Questions

Write the ratio in fractional notation in lowest terms.
5 megabytes to 22 megabytes
The ratio is (Type the ratio as a simplified fraction.)

Answers

Answer:

99999k

Step-by-step explanation:

kjjuhhhhhhhhhuurdghsex

What’s the value of y in this picture

Answers

Answer: A 83

Step-by-step explanation:

Add 46 to 51 then subtract from 180 to get the correct answer(83)

Set up a system of linear equations, and then solve for the indicated quantities.
Three times the smaller of two numbers plus three times the larger number is – 15.
Six times the smaller number minus three times the larger number is – 21.
Find the numbers.
Let x represent the smaller number. Let y represent the larger number.

Answers

9514 1404 393

Answer:

smaller: -4larger: -1

Step-by-step explanation:

Substituting the given variables into the word problem, we have two equations:

3x +3y = -15

6x -3y = -21

Adding these equations eliminates y:

9x = -36

x = -4 . . . . divide by 9

Using this in the first equation, we have ...

3(-4) +3y = -15

-4 +y = -5 . . . . . divide by 3

y = -1 . . . . . . . . . add 4

The smaller number is -4; the larger is -1.

the product of -4 and a number is 36 find the number?

Answers

Answer:

Step-by-step explanation:

if you add 4- + 36 it's exactly the same as saying 4 - 36 = 32

pls mark brainlest for real :,,(

PLEASE help due today

Answers

Answer: Number 3; $1250

Number 4; Salesperson A ($7428.30)

Number 5; 18%

Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.

Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;

I = P x R x T

I = 5000 x 0.05 x 5

I = 1250

Therefore Joanna will pay $1,250 as interest

(No 4) The amount made by both salespersons is shown as follows;

A = 11% x 67530

A = 0.11 x 67530

A = 7,428.30

B= 8% x 85740

B = 0.08 x 85740

B = 6,859.20

Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30

(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;

Percent paid = (entertainment/total income) x 100

Percent paid= (6840/38000) x 100

Percent paid = 684000/38000

Percent paid = 18

Therefore he paid 18% for entertainment

(6) Nora makes a total of 3000 a month broken down as follows;

Rent = (26/100) x 3000

Rent = 0.26 x 3000

Rent = 780

Food = (30/100) x 3000

Food = 0.30 x 3000

Food = 900

Medical = (15/100) x 3000

Medical = 0.15 x 3000

Medical = 450

Clothes = (10/100) x 300

Clothes = 0.10 x 3000

Clothes = 300

Miscellaneous = (19/100) x 3000

Miscellaneous = 0.19 x 3000

Miscellaneous = 570

Answer: Number 3; $1250

Number 4; Salesperson A ($7428.30)

Number 5; 18%

Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.

Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;

I = P x R x T

I = 5000 x 0.05 x 5

I = 1250

Therefore Joanna will pay $1,250 as interest

(No 4) The amount made by both salespersons is shown as follows;

A = 11% x 67530

A = 0.11 x 67530

A = 7,428.30

B= 8% x 85740

B = 0.08 x 85740

B = 6,859.20

Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30

(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;

Percent paid = (entertainment/total income) x 100

Percent paid= (6840/38000) x 100

Percent paid = 684000/38000

Percent paid = 18

Therefore he paid 18% for entertainment

(6) Nora makes a total of 3000 a month broken down as follows;

Rent = (26/100) x 3000

Rent = 0.26 x 3000

Rent = 780

Food = (30/100) x 3000

Food = 0.30 x 3000

Food = 900

Medical = (15/100) x 3000

Medical = 0.15 x 3000

Medical = 450

Clothes = (10/100) x 300

Clothes = 0.10 x 3000

Clothes = 300

Miscellaneous = (19/100) x 3000

Miscellaneous = 0.19 x 3000

Miscellaneous = 570

Select all choices that describe rectangles with same area that are NOT congruent.

Answers

Answer:

Where are the options? This is kinda broad..

Answer:

Step-by-step explanation:

estimate for 389 × 4=

Answers

Answer:

1556

Step-by-step explanation:

389 times 4 is 1556

Answer:

Step-by-step explanation:

First let’s do normal multiplication

389*4=1556

Now let’s estimate

2000(whenever you estimate a number, you just round it up to the highest place in the number)

the set
of whole number less than 20

Answers

Answer:

maybe 3, 6, 9, 12, 15, 18?

Step-by-step explanation:

sorry if this doesn't help but I hope someone else can help you! good luck

Whole numbers less than 20 are 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1. How to know if they are divisible by 3? Add the numbers, and if the sum is divisible by 3.

PLEASE HELP FOR 25 points and maybe a Brainliest . The cost y (in dollars) of getting into a fair and riding x rides is
C(x) = 1.5x +5. You only have a total of $20 to spend at the fair.
a.graph the function and identify its domain and range.
b. Interpret the slope and the intercepts of the graph.
Thank you if u helped

Answers

I hope this image helps; It is graphed. The slope is 1.5x, the Y intercept is 5, the X intercept is -3.333... I am not good with domain and range, but I believe the domain is all {x| all natural numbers less than 10} (no decimals/fractions because you cannot have a fraction of a ride) and I believe the range is {y| any number greater than or equal to five an less than or equal to twenty}

A restaurant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. The bowl has 100 cards. What are the odds of jo winning a free lunch?

A)1/5
B)1/10
C)1/20
D) 1/500

Answers

Answer:

1/20

Step-by-step explanation:

15. To receive a B in his English class, Nicolas must have an average score of at least 84 on five
tests. He scored 90,91, 79, and 81 on his first four tests. What is the score range he can receive
on his last test and still receive a B in the class?

Answers

Answer:

(90+91+79+81+x)/5=84and 341+x=84*5and341+x=420and x=420-341 finally x=79

PLEASE HELP ME ON ALL ASAP!!!! I WILL GIVE BRAINLIEST!!!

Answers

Answer:0=16 1=23 2=30 3=37 4=44

Step-by-step explanation:

GIVE ME BRAINLIESTTTTTTTT

Darnell uses 1 1/4 packages of beads to make 10 bracelets. He wants to make 25 bracelets. How many packages of beads will he use?

Answers

Answer:

I believe the answer is 3 1/8

Step-by-step explanation:

Since he uses 1 1/4 packages just to make 10, we can start with him making the 20. That would mean he uses 2 1/2 packages. Now all we have left is the 5 in 25. 5 is half of 10 and since you use 1 1/4 to make 10 bracelets, use half of it to make 5. Add up all the package use and you get 3 1/8. This was kinda rushed so I'm not 100% sure, but I'm like 95% sure. Hope this helps!

3¹/₈ packages of beads are required to make 25 bracelets

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

Darnell uses 1 1/4 packages of beads to make 10 bracelets that is :

1 ¹/₄ = 5/4 packages of beads requires to make = 10 bracelets

Now, divide both side by 10 we get :

to make 1 bracelets = 5/40 = 1/8 packages of beads are required

Now, to find the numbers packages of beads to make 25 bracelets multiply both side by 25 :

to make 25 bracelets = 25/8 = 3¹/₈ packages of beads are required.

Therefore, 3¹/₈ packages of beads are required to make 25 bracelets

Answers

answer:
1. 47
2. 119
3. 97
4. 62

explanation:

1. 180-133= 47
2. they’re vertical angles, so they’re equal
3. 180-83= 97
4. set the two expressions equal to each other and solve
8x-34 = 5x+2
x= 12
plug in 12 for x
5(12)+2
to get
62

Answer:

[tex]m\angle1 =47^o[/tex]

[tex]m\angle2 =119^o[/tex]

[tex]m\angle ABC =97^o[/tex]

[tex]m \angle FED = 62^o[/tex]

Step-by-step explanation:

angle 1 and the angle 133 degrees are supplementary angles, then added should give 180 degrees.

angle1 + 133 = 180 then angle1 = 180-133 = 47 degrees

[tex]m\angle1 = 180^o - 133^o=47^o[/tex]

Angle 2 is of the same measure as the angle marked as 119 degrees since they are what is called "corresponding angles between parallel lines."

Angle ABC plus angle that measures 83 degrees should add to 180 since their sum gives a straight line, then:

ABC + 83 = 180

ABC = 180 - 83 = 97 degrees

Last image:

The two angles with algebraic denomination should be equal because they are alternate internal angles, Then this equality can be written as:

8 x - 34 = 5 x + 2

solve for x by subtracting 5 x from both sides:

3 x - 34 = 2

add 34 to both sides:

3 x = 2 + 34

3 x = 36

x = 36/3

x = 12

and now knowing x we can find angle DEF

DEF = 5 x + 2 = 5 (12) + 2 = 60 + 2 = 62 degrees

Find an equivalent ratio in simplest terms 44:80

Answers

Answer:

11:20

Step-by-step explanation:

Divided by 4

Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-student sections of freshman algebra were available for the study. The two types of instruction (standard curriculum, computer-based curriculum) were randomly assigned to the four sections in each of the three schools. At the end of the term, a standard mathematics achievement test was given to each of the 24 students in each section.
a. Is this study experimental, observational, or mixed experimental and observational? Why?
b. Identify important factors, factor levels, and/or factor-level combinations.
c. Classify these factors as within- or between-subjects
d. what’s the dependent measures?
e. What is the basic experiment unit of study?

Answers

Answer:

A) experimental

B) The important factors are : Type of instruction, scores and High schools,

The factor levels are :

Level -1 which comprises of 3 highschool,

Level -2 which comprises of highschool and the highschool has 4 sections and each section has 24 students

Factor level combinations:

Level 1 : computer and standard based combination

C) Within the subject : 24 students

Between subject : High school

D) score of the test

E) student

Step-by-step explanation:

A) The study is experimental because of the random assignment of two different types of instruction to the students which will control/affect the technique of teaching without just observing the performance of the students from the side

B) The important factors are : Type of instruction, scores and High schools,

The factor levels are :

Level -1 which comprises of 3 highschool,

Level -2 which comprises of highschool and the highschool has 4 sections and each section has 24 students

Factor level combinations:

Level 1 : computer and standard based combination

C) Within the subject : 24 students

Between subject : High school

D) The dependent measure is the score of the test

E) The basic experiment unit of the study is : student

Find the LCD of the given rational equation:

Answers

Answer:

The correct answer is: D

Step-by-step explanation:

Consider the domain, which in this case x cannot be equal to -4 and -2.

The LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)

How to determine the LCD?

The rational equation is given as:

[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{x^2 + 2x - 8}[/tex]

Factorize the denominator of the fraction on the right hand side

[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{(x - 2)(x + 4)}[/tex]

Write out the common factors in the denominator

LCD = (x + 4)(x + 2)(x - 2)

Hence, the LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)

Read more about rational equation at:

https://brainly.com/question/1851758

#SPJ2

An object is moving at a speed of 4 miles every 9 hours. Express this speed in meters per day. Round your answer to the nearest whole number.

Answers

Answer:

17166 m/days

Step-by-step explanation:

1 mile = 1609.34 m

4 miles = 1609.34×4

= 6437.38m

1 hour = 0.0416667

9 hours = 9 × 0.0416667

= 0.375 days

Speed= (6437.38/0.375) m/days

= 17166.34667 m/days

= 17166 m/ days ( nearest whole number)

A number, n, is greater than -4 and less than or equal to 6.

Answers

Answer:

-3-,2,-1,0,1,2,3,4,5

Step-by-step explanation:

-4<n<6

Line M passes through the points (-5, 9) and (-1, 9) which is true of line M?
A: line M is a vertical line with an undefined slop
B: line M is a vertical line with a slope of zero
C: Line M is a horizontal line with an undefined slope
D: Line M is a horizontal line with a slope of zero

Answers

Answer:

D: Line M is a horizontal like with a slope of zero

Step-by-step explanation:

A vertical line would have the same x-value for coordinates but different y-values. It would also have an undefined slope.

Therefore, we can rule out A and B.

A horizontal line always has different x-values but the same y-value. It would also have a slope of zero.

Therefore, C is wrong and D is our answer.

Let's first find the slope of the line.

We can do this using the slope formula.

m = y₂ - y1 / x₂ - x₁

We take the second y minus the first y over the second x minus the first x.

So we have 9 - 9 / -1 - (-5).

So we have 0 / 4 which is 0.

So the slope of our line is zero.

We can eliminate any choices that say the slope is undefined.

Now, if we have a slope of zero, the line is flat or horizontal.

So we know line M has to be a horizontal or flat line with a slope of zero.

So our answer is D.

Emilia made fewer than 27 bracelets last week. The variable b represents the number of bracelets. The inequality b less-than 27 describes the number of bracelets that Emilia made. Which could be a solution to the inequality?
26
29
33
40

Answers

Answer:

Step-by-step explanation:

26 is the only thing less than 27

Answer:

Step-by-step explanation:

I mark as brainliest

Answers

B i think- jsjdjdndnjdddkjskskdjdjdbsbsbdnd

Answer:
The second answer
Explain:
if you count the grid, it's 8 right and 5 up from the dentist to his house

Lines A and CD (if shown) are straight lines. Find x. Give reasons to justify your solutions.
Please Write in a form like the table below.

Answers

Answer/Step-by-step explanation:

STATEMENT ====> REASONS

1. m<AOB = 180° ==> 1. Definition of straight angle

2. m<AOF + m<FOG + m<GOB = m<AOB ==> 2. Angle Addition Postulate

3. (5x - 15)° + 90° + 2x = 180° ==> 3. Substitution

4. Solve as algebra to get x

5x - 15 + 90 + 2x = 180

Collect like terms

5x + 2x - 15 + 90 = 180

7x + 75 = 180

Subtract 75 from both sides

7x + 75 - 75= 180 - 75

7x = 105

Divide both sides by 7

7x/7 = 105/7

x = 15 ===> 4. Algebra

what are the congruent angles and sides???

Answers

Answer:

the helping hand got it

A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.

Answers

Answer:

The side lengths of the image after the dilation = 13.5 cm and 20.25cm

Step-by-step explanation:

A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.

Dilation can also be referred to as scale factor

6cm × 2.25 = 13.5 cm

9 cm × 2.25 = 20.25 cm

The side lengths of the image after the dilation = 13.5 cm and 20.25cm

On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 10 kg weighs 80 N. Calculate the mass of another object that weighs 72 N.

Answers

Answer:

9kg

Step-by-step explanation:

If a 10kg object exerts a weight of 80N, it means that the gravitational acceleration is 8N/kg. This means that the weight of an object will be 8x its mass. So, if we want to find an object's mass from its weight, we simply need to divide it by 8. 72/8=9. The other object has a mass of 9kg.

Hope this helped!

Find The Difference.
1)5-15=
2)-13-7=
3)-19-7=
4)36-(-12)=
5)-29-(-11)=
6)-7-(-5)

Answers

Answer:

-10

-20

-26

-2

Step-by-step explanation:

I used a calculator to make sure

help with this immediatey please

Answers

Answer:

100 degrees

Step-by-step explanation:

60+40 makes the whole angle ABC

ANSWER

STEP BY STEP

convert 565900 seconds into days

Answers

Answer:

1 day = 86400 seconds

565900 divided by 86400 =

Step-by-step explanation:

a little more than 6 days

plz mark brainliest

Which 2 subjects are 2 unit apart

Answers

Answer:

I believe that your answer is C and Moon.

Other Questions

plz help I will mark you brainlist plz Match these items.1. maximum number of electrons = 2 2. maximum number of electrons = 6 3. maximum number of electrons = 10 4. maximum number of electrons = 14 fpds What is the message of thiscartoon? I need help asap pleaseeeee PLEASE HELP ASAP DUE IN 1 HOUR: I WILL GIVE BRAINLISTChoose a essay topic: write 3 reasons why you agree and 3 reasons why you disagree 1. Should the driving age be lowered to 15 years old?2. Should it be mandatory that students participate in extra-curricular activities(school related; chess club, drama club, food club, school sports etc.)?3. Are television, movies, and music responsible for teen violence?4. Is it important to study Shakespeare in secondary school?5. Should the sale of junk foods be banned from Ontario secondary schools?6. Do people depend too much on technology? Pls help, will reward brainliest!!Describe the three regions of Panama In general, how does Irving characterize the people of Sleepy Hollow? A. simple but sullen B. worldly and cheerful C. simple but sincereD. worldly and shrewd The ADP-ATP cycle is critical to producing cell energy. What do you know about this cycle? (More than one answer)1. On average, 34-36 molecules of ATP are gained through the process of aerobic cellular respiration fromone glucose molecule.2. When phosphate is added to ADP, free energy from food sources is stored in the phosphate bond,producing ATP.3. The hydrolysis of ATP to ADP is reversible.4. When a phosphate group is removed from ATP by hydrolysis, ADP is produced and energy is stored forcellular processes.5. Only aerobic cellular respiration is used to break down glucose into ATP that is usable by the cell.6. Glycolysis is the first step in both aerobic and anaerobic cellular respiration. Which components should Enterprise Free Cash Flows include? I. Capital expenditures II. Financing costs III. Taxes IV. Working capital requirements Which molecule is a source of carbon, hydrogen, and oxygen atoms for making proteins?watersaltscarbohydratescarbon dioxide 5) The price of a gallon of gas was $4.00. The price went up by 10% and then went down by 10%. Antonio thinks that since the price both rises and falls by 10%, the price of a gallon of gas is back to $4.00. His teacher tells him that he is incorrect. Explain why Antonio's reasoning is incorrect. (1 point) Determine the price of a gallon of gas after the 10% rise and 10% fall. (1 point) Total of 2 points. * A rectangular box is 8 inches long, 10 inches wide and 6 inches tall. What is the approximate length of its longest diagonal? 10 inches 14.1 inches 4.9 inches 24 inches PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 monthly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford? Yall pray for me I'm doing a huge math test The main idea of a text (5 points) ais not always directly stated bis always stated in the first paragraph cusually appears in the conclusion dis found in the body of the text Select the correct answer.What is the sqare root of 75 in simplest form? Bramble Corp. sells MP3 players for $60 each. Variable costs are $30 per unit, and fixed costs total $120000. How many MP3 players must Bramble sell to earn net income of $300000? What makes a great ruler? Explain 3 traits a great ruler/leader has in order to be considered great. change the following sentence into reported speech: "Stay in bed for a few days, " the doctor said to me. Your soccer team is holding a silent auction dinner as a fundraiser to pay for the team uniforms. The list shows all the expenses for the silent auction.A tablet that costs $280Soccer tickets that cost $100A gift card that costs $20The cost of the food is $400The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 50 tickets will pay for the cost of the prizes and foodBuild a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.

4.1 Number Talk: Division Find each quotient mentally. 645 divided by 100 645 divided by 50 48.6 divided by 30 48.6 divided by x

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4.1 Number Talk: Division

Find each quotient mentally.

645 divided by 100

645 divided by 50

48.6 divided by 30

48.6 divided by x