How can $500 be divided between four people so that each person gets $20 more than the person before.

Answers

Answer 1

Answer:

$95, $115, $135, $155

Step-by-step explanation:

If the first person gets x dollars:

the next person gets 20 more, so x + 20 dollars

the next person gets x + 40 dollars

and the last person gets x + 60 dollars

We add all these allocations together, and we get $500

x + (x + 20) + (x + 40) + (x + 60) = 500

Combine like terms

4x + 120 = 500

Subtract 120 on both sides

4x = 380

Divide by 4 on both sides

x = 95

So the first person gets $95.

The second person must get $115

The third must get $135

And the fourth must get $155

Checking our work:

95 + 115 + 135 + 155 = 500


Related Questions

Your bank account balance is -$20.85. You deposit the $15.50. What is your new balance?

Answers

Answer:

-5.35

Step-by-step explanation:

-20.85

+15.50

this helps with the problem

The LCM of two numbers is 352
The HCF of the numbers is 4.
One of the numbers is 44.
Find the other number.

Answers

Answer:

Let the other number be

x

Given:LCM+HCF=600

⇒14HCF+HCF=600

⇒15HCF=600

⇒HCF=40

⇒LCM=14×40=560

Since HCFxLCM=Product of 2 numbers

=>40×560 = 280×x

⇒x=

280

40×560

⇒x=40×2

⇒x=80

hence the other number is 80.

Rick had 6 meters 63 centimeters of wire in his toolshed. He bought 2 meters 24 centimeters more wire and put this in his shed. The next day, he used 344 centimeters of wire. How much wire does Rick have left in the toolshed?

Answers

Answer:

543 centimeters or 5 meters 43 centimeters

Step-by-step explanation:

663+224=887

887-344=543

Giải phương trình x^4-2x^3+2x^2-x-6=0

Answers

Answer:

[tex]x_{1} = - 1. \: \: x_{2} = 2[/tex]

Step-by-step explanation:

attached

Which linear inequality is represented by the graph?
Oys-x-1
O yzx-1
O y<3x-1
Oy> 3x - 1

Answers

Answer:

The fourth answer choice is correct.

y>3x-1

The linear inequality that is represented here is y> 3x - 1. The last option is correct.

What is a linear inequality?

These are inequalities that shows linear functions. It is showing the data that is not equal in the graph that is presented.

We can see that the line cuts through 3 at the X axis and -1 at the y axis.

Read more on linear inequalities here:

https://brainly.com/question/17152894?referrer=searchResults

R is between Q and S. If QR = 33.4 and SQ = 80, find RS

Answers

Answer:

56.6

Step-by-step explanation:

if SQ are 80 just subtract 33.4 from 80 to get 56.6 is RS

Which of the following fractions has the greatest value?

3/4

5/8

5/6

5/9

3/7

Answers

We can see that 420/504 is the largest value among the fractions. the fraction 5/6 has the greatest value.

To determine which fraction has the greatest value, we can compare the fractions by finding a common denominator and comparing the numerators.

Let's find a common denominator for all the fractions, which is the least common multiple (LCM) of the denominators.

The denominators are 4, 8, 6, 9, and 7.

The LCM of 4, 8, 6, 9, and 7 is 504.

Now, let's convert each fraction to have a denominator of 504:

3/4 = (3/4) * (126/126) = 378/504

5/8 = (5/8) * (63/63) = 315/504

5/6 = (5/6) * (84/84) = 420/504

5/9 = (5/9) * (56/56) = 280/504

3/7 = (3/7) * (72/72) = 216/504

Comparing the numerators, we can see that 420/504 is the largest value among the fractions.

Therefore, the fraction 5/6 has the greatest value.

for more such question on fractions visit

https://brainly.com/question/78672

#SPJ8

Use the distributive property to write an equivalent expression.
8(3v+3w-2)

Answers

24v+24w-16
I multiplied all the numbers inside the parenthesis to 8, so (8 x 3w),(8 x 3v),(8 x -2). Basically Distrbutive property is you distribute the 8 into the numbers inside the parenthesis and by distribute you just multiply. Lemme know if this is the answer you were looking for!

Answer:

8(3v+3w-2)=(8×3v+8×3w-8×2)

Step-by-step explanation:

8×3v=24v.

8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)

8×(-2)=-16.

The table below represents a function.

what could be the equation of the function?​

Answers

Answer: Choice C.  y = -1.5x

===============================================================

Explanation:

Pick any two rows from the table to form the (x,y) points. I'll pick the first two rows.

Use the slope formula to find the slope of the line through (-6,9) and (-4,6)

m = (y2-y1)/(x2-x1)

m = (6-9)/(-4-(-6))

m = (6-9)/(-4+6)

m = -3/2

m = -1.5

Of the four answer choices, only choice C has a slope of -1.5 so that must be the final answer. Note how the y intercept is b = 0 due to the point (0,0).

So y = -1.5x can be written as y = -1.5x+0; however, it's easier to go with the first option.

As a check, let's try something like x = 2

y = -1.5x

y = -1.5*2

y = -3

This verifies the second to last row of values. I'll let you check the other rows.

Which is the graph of f(x) = 1/4 (4)^x ?

Answers

Answer:

The only graph that is fully shown.

Step-by-step explanation:

I did the math and the points check out.

How do you translate "A number, x, multipled by one thousand. " as a variable expression​

Answers

Answer: 1000x or 1000•x

U have ur x variable and it’s being multiplied by 1000
So it’s just 1000•x or 1000x

I hope this helps :)

points....................​

Answers

Answer:

what.....................

Answer:

muchas gracias por los puntos

que tengas un buen dia

-X -y -32 = -9
Z= -3x - 1
z = 5y -Z + 23

Answers

Answer:

[tex]x = - \frac{85}{46} [/tex]

[tex]y = - \frac{64}{23} [/tex]

[tex]z = \frac{209}{46} [/tex]

Find the Value of X

(please don't just give me a fake answer)

Answers

(6+4)/6=(x+1 +x)/(x+1)
10/6=(2x+1)/(x+1)
10(x+1)=6(2x+1)
10x+10=12x+6
10-6=12x-10x
2x=4 /2
X=2


PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST ​

Answers

Answer:

Subtract four to get the next term.

Step-by-step explanation:

66 - 4 = 62

62 - 4 = 58

58 - 4 = 54

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer:

B

Step-by-step explanation:

Subtract 4

Anyone know the answers to 26 and 28?Please help me I’m sleep deprived

Answers

Answer:

26. 30 ≥ 7.5a + 4.5s         28. $22.50

Step-by-step explanation:

26. The family doesn't want to spend over 30 dollars, so when writing the inequality the amount they spend needs to be less than or equal to 30, hence the greater than/equal to sign. When writing the expression a - amount of adults & s - amount of students.

*remember in the question it states middle and high schoolers both count as students

The 7.5 is cost for adults and the 4.5 is cost for students.

28. You can use the expression created in 26

7.5a + 4.5s

Then substitute in the amount of people into their respective categories.

7.5(2) + 4.5(3) = 22.50

PLEASE HELP!! i can’t figure this out!

Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1.

Answers

Answer:

1,-1

Step-by-step explanation:

midpoint is (-3)+5÷2 ; (-3)+1÷2

=1;-1

I need help with maths lol

Answers

Answer:

Step-by-step explanation:

To get equivalent expressions, if you are adding or subtracting, the number and letter you get on the left must be the same as the one on the right.

In B. The answer is incorrect because 4t is minus on the left. The letters are different, so 4t must remain minus. Not B

In C the numbers will combine when you add. If they are the same,, they remain the same. They do not become powers the answer for C is 10s. So C is not correct.

In D you are indicating that 6 is multiplied by 4s.  You can only multiply 6 and 4. They don't add. Not D

A is correct.

What is the smallest angle of rotational symmetry for a square?
45°
90°
180°
360°

Answers

Answer:

90 degrees

Step-by-step explanation:

When we want to find the rotational symmetry of a shape, we will take the total angle measure of most shapes (360 degrees) and divide it by the number of angles that shape has. Since a square has 4 angles, thats what we will divide by and the answer we get will be the smallest angle of rotation.

360 / 4 = 90

Best of Luck!

The smallest angle of rotational symmetry for a square is 90°. A square has four sides of equal length and four angles of 90° each, which means that rotating it by any multiple of 90° will result in the same image. Thus, the smallest angle of rotational symmetry is 90°.

What is a polygon?

In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:

• Triangle

• Quadrilateral

• Pentagon

• Hexagon

• Heptagon

• Octagon

• Nonagon

Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:

α = 360/n

The smallest angle of rotational symmetry for a square is 90°.

This means that the square can be rotated by 90° and still look the same.

It can also be rotated by 180° and 270° to look the same,

but the smallest angle is 90°.

Read more on regular polygon here:

brainly.com/question/20911145

#SPJ7

graph the function. f(x)=−∣∣x+2∣∣+1

Answers

Answer:

f(x)=-|x+2|+1

I've attached the graph for it

Guy above is right
Explanation:I done the assessment

A man mixes 90 litres of milk, containing 10% of water with 60 liters of milk containing 20% of water, then the percent of water in the minture is?​

Answers

Answer:

it is 15 percent than

Step-by-step explanation:

hope i could help

28 + 2h = 2h + 6. What does “h” equal?

Answers

I believe the answer is 28=6, but I could be wrong tho.

2h – 2h = 28-6 —> 0 = 22

It cannot be solved because 2h -2h equals zero, so there is no h .

The Coal Utility Company is burning coal to produce electricity. The following cost function illustrates the cost in dollars (C) of removing t% of the hazardous toxins generated from burning coal. What happens to the cost as t approaches 100?
C= 55,000t/100-t for 0 ≤ t < 100

A The cost continues to increase.
B The cost continues to decrease.
C The cost approaches $0.
D The cost approaches $55,000.

Answers

Answer:

the cost continues to increase

Step-by-step explanation:

the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.

To determine what happens to the cost (C) as t approaches 100%, we can take the limit of the cost function as t approaches 100.

The cost function is given as: [tex]\[ C = \frac{55,000t}{100 - t} \][/tex]

Now, let's find the limit of C as t approaches 100:[tex]\[ \lim_{{t \to 100}} C = \lim_{{t \to 100}} \frac{55,000t}{100 - t} \][/tex]

To find this limit, we can use direct substitution:[tex]\[ \lim_{{t \to 100}} \frac{55,000 \times 100}{100 - 100} = \lim_{{t \to 100}} \frac{5,500,000}{0} \][/tex]

Since the denominator approaches 0 as t approaches 100, the limit is undefined (infinite).

Therefore, the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.

To know more about infinity:

https://brainly.com/question/31331496

#SPJ3

a mans age today is four years less than five times the age of his oldest son. let a represent the son's age. write an expression to represent the man's age.

Answers

Answer:

m = 5s - 4

Step-by-step explanation:

Man = m

Son = s

the mans age is 4 years less than 5 times his sons age

5 times his sons age is 5s

4 less than that is 5s - 4

The man's age is 5s - 4 or m = 5s - 4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

solve the following compound inequality. graph the solution. -4 < 3x + 2 <= 2​

Answers

Answer:

-2 < x <= 0

Step-by-step explanation:

Isolate the variable.

-4 < 3x + 2 <= 2

Subtract 2 from each side.

-6 < 3x <= 0

Divide both sides by 3

-2 < x <= 0

1.Give another name for line s
2. Name then intersection of lines r and s
3.Name three non- collinear points
4. Give another name for plane n

Answers

Step-by-step explanation:

1 ) Another name for lines can be x y z etc ...

2 ) line r and s intersect at point B

3 ) point A B D

point D B C

4 ) Another name for plane N can be P Q T etc...

MARK AS BRAINLIST IF IT IS USEFUL

r-6

--------- = - 3

- 3

Answers

Answer:

r=0

Step-by-step explanation:

f(x) = x² + 3x – 4 if x = 5a

Answers

Answer:

Step-by-step explanation:

f(5a) = ([tex]5a)^{2}[/tex] + 3× 5a - 4

Plz help me answer this question

Answers

Answer:

I think it's the top left one

Step-by-step explanation:

The length is 6, the width is 3, and the height is 4, which matches the expression.

Step-by-step explanation:

[tex](6 \times 3 + 3 \times 4 + 4 \times 6) \\ = (18 + 12 + 24) \\ = 54[/tex]

does anyone have the answers for all?

Answers

Answer and Step-by-step explanation:

1-6

a.

What you can do is plug in 6 and start by doing the first machine first, then the second. If this doesn't work, do the second machine, then the first machine.

The order that works is second machine, then first machine.

Second Machine:

y = [tex](6)^{2} -6[/tex] = 36 - 6 = 30

Plug into first machine now.

First Machine:

y = [tex]\sqrt{(30) - 5} = \sqrt{25} = 5[/tex]

We see that the result is 5.

b. If we were to do the order of second machine, then first machine, we will never get a negative result (or -5 for that matter), due to the fact that you can't algebraically square root a negative number.

However, if we were to do the order of first machine, second machine, we can get a negative number. To get -5, we plug in 6 for x in the first machine, getting an answer of 1. We plug this into the second machine, getting 1^2 - 6, which results in -5.

1-7. The absolute value of a value is the positive version of that value.

a. |54| = 54

b. [tex]-|-7\frac{3}{5}|[/tex] = [tex]-7\frac{3}{5}[/tex]

c. |3| - |-1| = 3 - 1 = 2

d. |2.2 - 5.13| = |-2.93| = 2.93

1-8.

a.

_

|  |

|  |

|  |

|  |

|  |        

|  ||  ||  ||  ||  |

(5 boxes on each side)

_

|  |

|  |

|  |

|  |

|  |          

|  ||  ||  ||  ||  ||  |

(6 boxes on each side)

b. The amount of squares on each side of the figure increases by 1.

c. There would be 1 square, because we know that the pattern is there is 2 squares added to the next figure, 1 at each end. If we go back a figure, we take away 2 squares.

1-9.

a. -42 - 17 = -59

b. 8 - (-9) = 8 + 9 = 17

c. 8(-9) = -72

d. -42 ÷ (-7) = 6

e. -2(-3)(-4) = 6(-4) = 24

f. -18 - 7 = -25

g. [tex](-5)^{2}[/tex] = 25

h. [tex]-5^{2} = -(5)^2 = -(25)[/tex] = -25

i. [tex]\sqrt{49}[/tex] = 7

1-10.  x = 2 Plug 2 in for x, then solve.

a. y = 7 - 3(2) = 7 - 6 = 1

b. y = [tex](2)^2 -1[/tex] = 4 - 1 = 3

c. y = [tex]\frac{18}{2}[/tex] = 9

#teamtrees #PAW (Plant And Water)

I hope this helps!

Other Questions
this is distance & midpoint formulas I dont know how to solve this can anyone help? MN has the endpoints at M(3,7) and N(-9,3) what is the midpoint of MN? What did Christopher Columbus and Ponce de Len eachset out to find and what did they find instead? Two representative elements are in the same period of the periodic table. Which statement correctly describes the atoms of the two elements?(1 point)They have the same number of valence electrons.They have the same number of valence electrons.They have valence electrons in different energy levels.They have valence electrons in different energy levels.They have valence electrons in the same energy level.They have valence electrons in the same energy level.They have the same number of electrons.Helium is in group 18 of the periodic table. How is helium different from the other elements in this group?(1 point)Helium atoms have valence electrons in the first energy level, while atoms of the other elements in the group have valence electrons in the second energy level.Helium atoms have valence electrons in the first energy level, while atoms of the other elements in the group have valence electrons in the second energy level.Helium atoms have 2 valence electrons, while atoms of the other elements in the group all have 8 valence electrons.Helium atoms have 2 valence electrons, while atoms of the other elements in the group all have 8 valence electrons.Helium atoms have a full outer energy level, while atoms of the other elements in the group do not have a full outer energy level.Helium atoms have a full outer energy level, while atoms of the other elements in the group do not have a full outer energy level.Helium atoms have 2 electrons, while atoms of the other elements in the group all have 18 electrons.Use the periodic table to answer the question.Which element has atoms with valence electrons in a higher energy level than those of calcium (Ca)?lithium (Li)lithium (Li)cesium (Cs)bromine (Br)oxygen (O)Use the periodic table to answer the question.Which statement best describes the arrangement of electrons in an atom of fluorine (F)?There are seven electrons in the first energy level and two electrons in the second energy level.There are seven electrons in the first energy level and two electrons in the second energy level.There are five electrons in the first energy level and two electrons in the second energy level.There are five electrons in the first energy level and two electrons in the second energy level.There are two electrons in the first energy level and seven electrons in the second energy level.There are two electrons in the first energy level and seven electrons in the second energy level.There are two electrons in the first energy level and five electrons in the second energy level. select the code requirements when it is located in a crawl space You may select more than one. 1. Alice decides to measure the density of the banana. a)What equipment will she need to measure it? b)Explain how she could use that equipment to measure the density. I stopped corresponding with Ben a long time ago. I havent7. Its almost 3 months since I last played badminton. I havent 8. Her sister didnt meet her cousin a few years ago. Her sister9. I didnt live in Tra Vinh when I was eight years old. I havent 10. We last talked to our form teacher three months ago. We have not11. My brother stopped smoking four weeks ago. My brother hasnt12. My teacher hasnt talked to us since we left school. My teacher last13. My father hasnt planted trees in the garden for two months. My father stopped 14. I have not visited Uncle Tri since 2005. I last 15. She hasnt written to John since August. She stopped16. They stopped producing this kind of toy a long time ago. They havent17 . We last saw Mary when we left university. We havent18. I last travelled by plane a year ago. I havent19. We stopped communicating with each other by radio a long time ago. We haven t 20. You last helped me when you graduated from college. You havent 4. Ciertos individuos en su escuela son lderes. Qu hace que la gente siga a los dems? Una encuesta realizada indic queel rasgo que ms valoraban los estudiantes en un amigo era la honestidad. Por qu cree que esto es cierto? A student pays 12.50 for headbands Which of the following is equivalent to the radical expression below whenx20?VAX 1X+7A. x 47B. VAXA + 20%C. VAMAXD. X* 20% Emma enjoys a supportive family and has been raised with strong values and beliefs. She volunteers at the family's church and also at a local food bank twice a week.Emma also maintains high grades, but lately she has been lacking in energy, despite eating throughout the day. The family doctor has confirmed overall physical healthwith no signsillness. What something that Emma could do to improve on this area of wellness?O Establish and follow a healthier diet and incorporate regular physical activityExpand her social circle with stronger and more diverse friendshipsO Make time to reflect more on his personal belief system and worldviewO Reduce his volunteer commitments to a more manageable level Why is a brain tumor more likely to be formedfrom glial cells than from neurons? Choose the equation that satisfies the data in the table.-15 0 15[y024 Multiply.(b - 7)(2b +9)(b - 7)(2b + 9) = (Simplify your answer.) What brought settlers to America? By theend of the colonial period. how was Americaon her way to becoming a nation of freedomand prosperity? How would you change the flowing water model to make it more like actual geologic process on Earth? Which of the following is an accurate statement about the health triangle?Select one:a.It's most important to work on physical health.b.You can work on only one side at a time.c.Good overall health requires a balance between all three sides.d.If you work on social health, other areas of health will automatically improve. The area A of the rectangle shownis described by the inequality12 compound inequality for x.8x 3/4 Please help ASAP!!!!!!! Upholstered furniture in the reception area should beshampooed at least once everySelect one:O A. six months.O B. 24 months.O C. three months.O D. 12 months.