A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left with him?

Answers

Answer 1

Answer:

[tex]\frac{7}{40}[/tex]

Step-by-step explanation:

[tex]1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})[/tex]

[tex]1-\frac{33}{40}[/tex]

[tex]\frac{7}{40}=0.175[/tex]

Answer 2

Answer:

7/40 is still left with him.

Step-by-step explanation:

LCM 5,10,8 = 40

2/5 = (x8) = 16/40 = food

3/10 = (x4) = 12/40 = rent

1/8 = (x5) = 5/40 = other expenses.

16/40 +12/40 + 5/40 = 33/40

40/40 - 33/40 = 7/40


Related Questions

How do you convert a decimal into a mixed number 10.5

Answers

Answer:

10[tex]\frac{1}2}[/tex]

Step-by-step explanation:

10.5 represents a whole number of 10 and a leftover .5 value.

.5 represents one half

the fraction for one half is 1/2.

leaving you with 10[tex]\frac{1}{2\\}[/tex]

It would be 10 1/2 because .5 represents 1/2 and u keep the 10 the same

which graph shows a function and it’s inverse ?

Answers

Answer: D.

Step-by-step explanation:

Trust me I been there

Graph B shows the functions and its inverse.

Graph with function and it’s inverse is to be determine.

What are functions?

Functions is the relationship between sets of values.

Here,
For graph  A,C, and D do not have axis of symmetry that why this option can be omitted it does not contain function with its inverse.
While graph B has axis of symmetry and equal and opposite 2 function that is graph b has function and its inverse.

Graph B shows the functions and its inverse.

Learn more about function here:

brainly.com/question/21145944

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The sum of two consecutive numbers is 89. What are the two numbers? A. 43 and 46 B. 44 and 45 C. 38 and 51 D. 45 and 46

Answers

Answer:

C

Step-by-step explanation:

Its C

A. 1/2
B. 2
C. 1
D. -2

Answers

Is the C

Because 3+(-1) = 2

2:2= 1

Answer:

C

Step-by-step explanation:

Can someone help me out?

Answers

Answer:

see explanation

Step-by-step explanation:

15

The x- coordinate of E is the same as the vertex F

The y- coordinate of E is the same as the vertex G

E = (b, c )

The x- coordinate of D is the same as vertex G

The y- coordinate of D is the same as vertex F

D = (a, 0 )

16

The x - axis is an axis of symmetry in the rhombus , thus

D is a reflection of B so D = (0, b )

The y- axis is an axis of symmetry in the rhombus, thus

E is a reflection of C so E = (a, 0 )

Find the perimeter and area of the rectangle given below. A rectangle ABCD with vertices ​A(2​,4​), ​B(2​,7​), ​C(5​,7​), and ​D(5​,4​).

Answers

Answers:

Perimeter=6 units

Area=0 units ^2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Two sides of a triangle have lengths of 5 and 9. Which inequalities
represent the possible lengths for the third side, x? *

Answers

Answer:

4 < x < 14

Step-by-step explanation:

The third side is between the difference and the sum of the other two sides

9-5 < x < 9+5

4 < x < 14

Differentiate the function.

y = (4x − 1)^2 (4 -x^5)^4

dy/dx=​

Answers

Answer:

[tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Distributive Property

Algebra I

Terms/CoefficientsFactoring

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                                [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = (4x - 1)²(4 - x⁵)⁴

Step 2: Differentiate

Product Rule:                                                                                                 [tex]\displaystyle y' = \frac{d}{dx}[(4x - 1)^2](4 - x^5)^4 + (4x - 1)^2\frac{d}{dx}[(4 - x^5)^4][/tex]Chain Rule [Basic Power Rule]:                                                                       [tex]\displaystyle y' = [2(4x - 1)^{2 - 1} \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^{4 - 1} \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Simplify:                                                                                                             [tex]\displaystyle y' = [2(4x - 1) \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle y' = [2(4x - 1) \cdot 4x^{1 - 1}](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^{5 - 1}][/tex]Simplify:                                                                                                          [tex]\displaystyle y' = [2(4x - 1) \cdot 4](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^4][/tex]Multiply:                                                                                                         [tex]\displaystyle y' = 8(4x - 1)(4 - x^5)^4 - 20x^4(4x - 1)^2(4 - x^5)^3[/tex]Factor:                                                                                                           [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 2(4 - x^5) - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute 2:                                                             [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute -5x⁴:                                                         [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 20x^5 + 5x^4 \bigg][/tex][Brackets] Combine like terms:                                                                     [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3(-22x^5 + 5x^4 + 8)[/tex]Factor:                                                                                                           [tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Help please someone

Answers

Answer: 751 points

Step-by-step explanation:

454 + 297 = 751

Answer:

751

Step-by-step explanation:

-297 + 454 = 751

Easier way of doing this is rounding 297 to 300 and doing 454 + 300, and subtracting 3.

please help❤️

A cannonball shot from the top of a building
can be modeled by the following equation:
h = –16(t = 3)2 + 189

Answers

Answer:

nole entiendo preguntale atu profe

Can someone please help me answer this question?

Answers

Answer:

132.5 inches

Step-by-step explanation:

The area of a triangle is 1/2 base height. the area of a rectangle is base height. Applying those principles gives us two equations: 8.5 x 10 / 2, and 9 x 10

then we have 42.5 and 90. in order to find the entire figure, they must be added so 42.5 plus 90 is 132.5. make sure to add the unit!

Answer:

Step-by-step explanation:

Triangle area

A=h_b*b/2

=8.5*10/2

=42.5in^2

Rectangle area

A=lw

=9*10

=90

Add all together

42.5+90

=132.5in^2

Express the series using sigma notation. 6 + 9 + 12 + 15.

Answers

15

Σ  40

n=6

explanation; add all the numbers to get 40

6 is the first number and 15 is the last number

Answer: D on edg

Step-by-step explanation:

What is the difference between (8y-7) and (1-3y)?

Answers

________________________________

Solution,

(8y-7)-(1-3y)

= 8y-7-1+3y

= 8y+3y-7-1

=11y-8

Hope it helps

Good luck on your assignment

_____________________________

15

Type the correct answer in each box. Use numerals instead of words.

This system of equations has been placed in a matrix:

y = 650x + 175

y= 25,080 - 120x

Column 1

Column 2

Column 3

Row 1

-1

Row 2

120

Reset

Next

Answers

The matrix representation of the system looks:

| -650   0 |

|   -1  120 |

To clarify, it seems you have provided a system of equations:

y = 650x + 175

y = 25,080 - 120x

Now, you want to create a matrix representation of this system by filling in the values in the columns and rows.

Column 1: The coefficient of x in the first equation is 650, so we put -650 in Column 1.

Column 2: The coefficient of x in the second equation is -120, so we put -120 in Column 2.

Column 3: There are no constants in front of x in the given system, so we put 0 in Column 3.

Row 1: Since the first equation has a positive coefficient of x, we put -1 in Row 1.

Row 2: The second equation has a negative coefficient of x, so we put 120 in Row 2.

for such more question on matrix

https://brainly.com/question/30715889

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The temperature falls from 0 degrees to -12.4 degrees in
13 1/2
hours. Which expression finds the change in temperature per
hour?

Answers

Answer:

Step-by-step explanation:

The temperature falls from 0 degrees to -12.4

0-(-12.4) = 12.4

12.4/13.4 degree per hours

0.9185 degrees/ hour

I don’t need you to explain just answer.

Answers

Answer:

domain= {-4,2,3,4}

range = {-4,0,2,3}

Plzzzzzz helpppp


What information is missing but is needed to solve this problem?


The community theater staged performances on Friday, Saturday, and Sunday. There were 357 people at Friday's performance and 422 at Sunday's performance. How many people attended Saturday's performance?



A)the number of people at Friday's, Saturday's, and Sunday's performances combined

B)the number of people at Friday's and Sunday's performances combined

C)the difference between the number of people at Friday's and Sunday's performances

D)the average of the number of people at Friday's and Sunday's performances

Answers

Answer:

a. the number of people at Friday's, Saturday's, and Sunday's performances combined.

Step-by-step explanation:

The reason this information is needed to solve this problem is because we are looking to find the number of people who attended Saturday's performance. Without any information on Saturday's performance, there is no way to solve the problem. We are given the number of people on Friday and Sunday's performance, but are not given a total amount of people on all performances.

Answer:

A) The number of people at Friday's, Saturday's, and Sunday's performances combined.

Step-by-step explanation:

We are looking for the amount of people who attended Saturday's performance, but only one of the answers contains anything about Saturday, which is A. All the information in the other 3 choices we already know, because we know the amount of people at both Friday and Saturday's performance, so we can do some simple math to figure it out.

Factor. x2−8x+16
(x+8)2
(x−4)2
(x+4)2
(x−8)2

Answers

Answer:

B

Step-by-step explanation:

[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]

You can confirm this by working in reverse:

[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]

Hope this helps!

Answer:

(x−4)^2

Step-by-step explanation:

I did the test

Find the counterexample to one of the following statements

1). A triangle cannot have an angle that is greater than 90º .

2). The product of two positive numbers is always greater than their sum.

Answers

Answer:

1) You know that the addition of all interior angles of a triangle always should add up to 180°

Then, for example, we can construct a triangle with angles

100°, 40°, 40° such that

100° + 40° + 40° = 180°

So we have an example of a triangle that has one angle greater than 90°.

2) Suppose that we have the positive numbers 0.5 and 1.

The product is: P = 0.5*1 = 0.5

the sum is: S = 0.5 + 1 = 1.5

The sum is greater than the product.

AC =
Round your answer to the nearest hundredth.
B
6
70degrees
A
?
с

Answers

Answer:

AC ≈ 2.18 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan70° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{AC}[/tex] ( multiply both sides by AC )

AC × tan70° = 6 ( divide both sides by tan70° )

AC = [tex]\frac{6}{tan70}[/tex] ≈ 2.18 ( to the nearest hundredth )

Please help ASAP- will give brainliest! Picture Below

Answers

Answer:

c

Step-by-step explanation:

Answer:

A - ( 2, - 4 )

Step-by-step explanation:

M, N , O is reflected at the points (-2,2) - O (-5,3) - M (-2,4) - N, and the triangle MNO is rotated 180 degrees around the origin , Down once because the triangle is being rotated around the origin and then right which would be the answer A. Hope this Helps : )

How many triangles???

Answers

Answer:

4

Step-by-step explanation:

The triangle itself

Also the 3 at the top

They are the only ones with 3 sides

Answer:

9 triangles

Step-by-step explanation:

Which best compares the volumes of cylinder X and cylinder Y?
A. The volume of cylinder X is less than the volume of cylinder Y.
B. The volume of cylinder X is equivalent to the volume of cylinder Y.
C. The volume of cylinder X is greater than the volume of cylinder Y.
D. There is not enough information to compare the volumes.

Answers

Considering the equation for the volume of a cylinder, it is found that the correct statement is:

A. The volume of cylinder X is less than the volume of cylinder Y.

What is the volume of a cylinder?


The volume of a cylinder of radius r and height h is given by:

[tex]V = \pi r^2h[/tex]

In this problem, cylinder Y suffered an inclination, hence it's radius increased, having a higher volume than cylinder A, as they have the same height, hence option A is correct.

More can be learned about the volume of a cylinder at https://brainly.com/question/9408912

Answer:

It is answer B

Step-by-step explanation:

this is because of law of Cavalieri which states that if a shape has the same radius(or length and base) and same height, it has the same volume.

Using the following image, solve for x.

Answers

Answer:

x=6

Step-by-step explanation:

(2+x)+1=2x-3

3+x=2x-3 .     Combine like terms

6+x=2x          Add 3 to both sides

x=6                Subtract X from both sides

A certain bag of potting soil is 1/4 peat moss, and the rest is dirt. What part is dirt?
1/4
А
B
3/8
3/4
D
7/8
E
1-1/4

Answers

Answer:

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

[tex]D = \frac{3}{4}[/tex]

Step-by-step explanation:

Given:

1 bag of potting soil

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

Required

What part is dirt?

The whole bag of potting soil is represented as 1;

Let P represent Peat Moss and D represented Dirt; Such that

[tex]P + D = 1[/tex]

Subtract P from both sides

[tex]P - P + D = 1 - P[/tex]

[tex]D = 1 - P[/tex]

Substitute [tex]\frac{1}{4}[/tex] for P

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

Take LCM

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

[tex]D = \frac{3}{4}[/tex]

Hence, [tex]1 - \frac{1}{4}[/tex] or [tex]\frac{3}{4}[/tex] of the potting soil is Dirt

What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12

A. 19

B. 17

Answers

Answer: B. 17

The mode is the most frequent or most occurring value. The value 17 shows up the most times, at two times, so this is the mode. The value 19 is not even part of the given set of values, so you can immediately cross of choice A.

Side note: it is possible for a set to have more than one mode, and it's also possible to not have a mode at all.

Answer:

17

Step-by-step explanation:

It's the only number that repeats and I also took the test :)

PLEASE ANSWER ASAP 10 points WILL MARK THE BRAINIEST!

Answers

What’s the question asking

whats a quadrilateral with two sides going in the same direction

Answers

Answer:

Trapezoid.

Step-by-step explanation:

That is a trapezoid ( in the UK a trapezium).

There is a pair of parallel sides.

Someone help ASAP! Weill give brainliest. (Not a quiz or test or anything)

Answers

Answer:

17.8

Step-by-step explanation:

First:

put the equation together

(2x+3) * (x+2)=91

Secondly:

condense

parenthisis can be dropped and normal problem solving can be used.

5x+2=91

subtract 2 from either side of the =

this will give you 5x=89

next divide 5 from each side because it is multiplying the x

x=17.8

Suppose that the weights of 5400 registered female Labrador retrievers in the United States are distributed normally with a mean of 62.5 lb and a standard deviation of 2.5 lb. Approximately how many of the Labrador retrievers weigh less than 65

Answers

I believe the normal distribution is symmetrical above and below

the mean.  That tells us that in this kind of distribution, the mean

and the median are the same number ... 50% of the population

is below it, and 50% is above it.

So if the female Labs' weight actually follows a 'normal' distribution

with a mean of 62.5 lbs, then 2,700 of them weigh more than 62.5 lbs

and 2,700 of them weigh less than that. 

The standard deviation doesn't matter.  

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The Road Not Taken by Robert Frost Two roads diverged in a yellow wood, And sorry I could not travel both And be one traveler, long I stood And looked down one as far as I could To where it bent in the undergrowth; Then took the other, as just as fair, And having perhaps the better claim, Because it was grassy and wanted wear; Though as for that the passing there Had worn them really about the same, And both that morning equally lay In leaves no step had trodden black. Oh, I kept the first for another day! Yet knowing how way leads on to way, I doubted if I should ever come back. I shall be telling this with a sigh Somewhere ages and ages hence: Two roads diverged in a wood, and I I took the one less traveled by, And that has made all the difference. What is a theme of The Road Not Taken? How does the writer develop the theme? Write at least two paragraphs in which you trace the development of the theme of the poem and analyze how specific details shape the theme. Use evidence from the text to support your response. Your response should be two or three complete paragraphs. A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the percentages are normally distributed. What type of test is this hypothesis test? If a patient needs a 30-day supply of tablets four times a day, how many tablets will the patient need for discharge? Simplify expression. Use the distributive property. :)14-2(4x+3y) Please answer correctly !!!!!!! Will mark brianliest answer !!!!!!!!!! an increase in the velocity of money will lead to The main() module in the starter code below takes integar inputs separated by commas from the user and stores them in a list. Then, it allows the user to manipulate the list using 3 functions:mutate_list() takes 3 parameters -- a list, index number, and a value -- and inserts the value in the position specified by the index number in the list.remove_index() takes 2 parameters -- a list and an index number -- and remove the element at the position number indicated by index. It also prints the total number of elements in the list before and after removing the character in this fashion:"Total elements in list = 11Total elements in list = 10"reverse_list() takes 1 parameter -- a list -- and returns the list reversed.Examples:Example 1:Enter values in list separated by commas: 1,2,4,63,6,4,22,53,76[1, 2, 4, 63, 6, 4, 22, 53, 76]Menu:mutate list(m), remove (r), reverse_list (R)Enter choice (m,r,R): m4,45[1, 2, 4, 63, 45, 6, 4, 22, 53, 76]Example 2:Enter values in list separated by commas: 1,2,4,6,84,3,2,2,76[1, 2, 4, 6, 84, 3, 2, 2, 76]Menu:mutate list(m), remove (r), reverse_list (R)Enter choice (m,r,R): R[76, 2, 2, 3, 84, 6, 4, 2, 1]Example 3:Enter values in list separated by commas: 12,2,3,5,2,6,2,1,2,333,65[12, 2, 3, 5, 2, 6, 2, 1, 2, 333, 65]Menu:mutate list(m), remove (r), reverse_list (R)Enter choice (m,r,R): rExample 4Total elements in list = 11Total elements in list = 10[12, 2, 3, 5, 6, 2, 1, 2, 333, 65]please use the codes belowdef main():user_list = input("Enter values in list separated by commas: ")user_list = user_list.split(",")user_list = [int(i) for i in user_list]print(user_list)print("Menu: ")print("mutate list(m), remove (r), reverse_list (R)")user_choice = input("Enter choice (m,r,R): ")if user_choice == 'm':index_num, v = input().split(",")index_num = int(index_num)v = int(v)mutate_list(user_list, index_num, v)print(user_list)elif user_choice == 'r':index_num = int(input())remove_index(user_list, index_num)print(user_list)elif user_choice == 'R':new_list = reverse_list(user_list)print(new_list)main()