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

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

Answer: A 83

Step-by-step explanation:

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

Answer:

32

Step-by-step explanation:

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

pls mark brainlest for real :,,(

Answer:

26

Step-by-step explanation:

26 is the only thing less than 27

Answer:

26

Step-by-step explanation:

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

Read more about ratio at:

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Answer:

11:20

Step-by-step explanation:

Divided by 4

Answer:

1/20

Step-by-step explanation:

Answer:

100 degrees

Step-by-step explanation:

60+40 makes the whole angle ABC

ANSWER

B.

STEP BY STEP

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

Step-by-step explanation:

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

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

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.

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!

Answer:

the helping hand got it

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

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

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)

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:

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9514 1404 393

Answer:

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.

Answer:

-10

-20

-26

48

40

-2

Step-by-step explanation:

I used a calculator to make sure

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)

Answer:

1 day = 86400 seconds

565900 divided by 86400 =

Step-by-step explanation:

a little more than 6 days

plz mark brainliest

Answer:

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

Step-by-step explanation:

-4<n<6

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)

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

Answer:

Where are the options? This is kinda broad..

Answer:

Step-by-step explanation:

Answer:

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

Answer:

99999k

Step-by-step explanation:

kjjuhhhhhhhhhuurdghsex

Answer:

I believe that your answer is C and Moon.