The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than second. How much did each person receive? 1st person: 2nd person: 3rd person: show work

Answers

Answer 1

Answer:

1st person: $432nd person: $853rd person: $96

Step-by-step explanation:

Let a, b, c represent the amounts received by the first, second, and third person, respectively.

  2a-1 = b

  c = b+11

  a + b + c = 224

Substituting for c, we have ...

  a + b + b+11 = 224

  a +2b = 213

Substituting for b, we have ...

  a +2(2a -1) = 213

  a +4a -2 = 213 . . . . . eliminate parentheses

  5a = 215 . . . . . . . . . . add 2

  a = 43 . . . . . . . . . . . . .divide by 5

  b = 2a -1 = 2(43) -1 = 85

  c = b +11 = 85 +11 = 96

The amounts received were ...

1st person: $432nd person: $853rd person: $96

Related Questions

Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years

Answers

Answer:

4 years

Step-by-step explanation:

As 4*8 is 32

So 144+32 is 176

And 5*4=20

108-20 is 88

88*2 is 176

Which number has a 2 with a value ten times less than the 2 in the number 725,983?

Answers

Answer:

"Which number has a 2 with a value ten times less than the 2 in the number 725,983?"

First, the value of the 2 in the number 725,983 can be find by separatig each digit as:

725,983 = 700,000 + 20,000 + 5,000 + 900 + 80 + 3.

Then the value of the 2 is: 20,000.

Now we want a number that has a 2 with a value then times less than 20,000.

this is:

20,000/10 = 2,000.

Then we want a number that has a 2 in the thousands place.

For example, 132,000 is a number that can be an answer, the only thing you need is that the 2 is in the thousands place (the fourth digit counting from the right)

Describe how to divide using partial quotients

Answers

Answer:

Subtract from the dividend an easy multiple of the divisor (e.g. 100x, 10x, 5x, 2x). Record the partial quotient in a column to the right of the problem. Repeat until the dividend has been reduced to zero or the remainder is less than the divisor. Add the partial quotients to find the quotient.

Step-by-step explanation:

Describe how to divide using partial quotients^^

Identify the property shown by the equation.
14 × 6 = 6 × 14

Answers

it’s the reflexive property

last week Bill ran 31.5m.
less than castel. Bill ran 10.4m.
How many miles did castel run?

Answers

Answer:

41.9

Step-by-step explanation:

Add 31.5 and 10.4 on a sheet of paper.

Your answer will be 41.9.

So, the answer is 41.9.

Hope it helps!

Answer:

41.9m Or maybe 41.1m.

Step-by-step explanation:

It works with subtraction and a lil bit of addition.

0.5 + 0.4 = 0.9. Or maybe 0.5 - 0.4 = 0.1?

31 + 10 = 41.

So the answer is 41.9m

(Hope this helped you! <3)

Maggie is making muffins with a recipe that yields 18 muffins.

a. There are 12 people in Maggie's book club. If the muffins are divided evenly among each person, how much will each person get?

b. If Maggie wants to divide the muffins evenly between 36 students in her class, how much muffin would each person get?

Answers

Answer:

1 muffin each

1/2 of a muffin

Step-by-step explanation:

if there are 18 and there are 12 people each person would get 1 and u would have 6 leftover.

they would get 1/2 because if she made 18 and splits each one evenly she would have 36 pieces of muffin and there are 36 people.

Find the transformations from y=x^2 for the following equation: f(x)=(x+4)^2 -9

Answers

y=x^2 moves right 4, down 9.

-72 + 12 x 4 / (-6) solve it

Answers

Answer:

The answer is -80.

Step-by-step explanation:

First, you need to multiply 12x4.

-72+12x4/(-6)

-72+48/(-6)

Now, we divide 48/-6. (Using P.E.M.D.A.S)

-72+48/-6

-72+-8

Finally, we add the negatives.

This gives us... -80 as your answer.

Joseph has 10 wooden boards, each is 2 meters in length. he needs 8 yards of wood to repair his fence and 25 feet to make shelves. Which project(s) can joseph complete with the wood he has? Note that 1 meter is approximately 1.09 yards.
a. Joseph can complete both projects
b. Joseph can only repair his fence.
c. Joseph can only make shelves
d. Joseph does not have enough wood to complete either job.​

Answers

Answer:

the answer is A he can complete both projects.

Step-by-step explanation:

find the slope of a line perpendicular to y= -6x+4

Answers

Answer:

-6

Step-by-step explanation:

y= -6x+4 is in y=mx +b

[tex]y= -6x+4 \\Slope =m = -6[/tex]

Simplify the expression (0.4)^3.
A. 0.64
B. 1.2
C. 12
D. 0.064

Answers

Answer:

Step-by-step explanation:

(0.4)^3= (0.4)(0.4)(0.4)= (0.16)(0.4)= 0.064

the answer is D

theo can run 1/2 mile in 1/10 hour. If theo continues at this rate how far can he run in a hour?

Answers

1/2 mile x 10 = 5 miles

The length of a rectangle is 6 feet more than three times the width of the rectangle. The length of the rectangle is 24 feet. What is the width of the rectangle?

Answers

Answer:

6 ft

Step-by-step explanation:

The length is (3 × width) + 6,

And the length is 24

If you take 6 away from the length, it will be 18, because 24 - 6 = 18

And then the length is also 3× the width (+6 - we've already done this part) so if you divide 18 by 3 you will get 6 ft as the answer

hope this helps x

2(x-5)=3(x+7) Show the process, please.

Answers

Answer:

-31

Step-by-step explanation:

(2×x) - (2×5) = (3×x) + (3×7)

2x-10 = 3x+21

2x-3x = 21+10

-x = 31

therefore, x = -31

Answer:

x=11

Step-by-step explanation:

2(x+5)=3(x+7)

2x+10=3x+21

3x-2x=21-10

x=11

Hope this helps! :)

Given the following equilateral triangle,what is X?

Answers

Answer:

I could be wrong on this BUT

Step-by-step explanation:

4x+10=30

-10=-10

4x = 20

x= 5

(-3) + (+1) =
steps of solving

Answers

Answer:

-2

Step-by-step explanation:

Opening brackets,

-3+1=-2

Answer:

-2

Step-by-step explanation:

3 - 1 = 2

so it's basically adding 1 to the -3 so it would be -2

Factorize each of the following expressions

Answers

Answer:

h.) 9w^2(2-3w-4w^2).

I.) x^3(42x^3+36x+49).

k.) 5ab(5a+3b).

l.) 9mn(3n-1m).

n.) 7p^2q^3(2p^2q+p-3q).

This is my answer...I hope it helps you

Becky brought cookies to work. The graph below shows the number of cookies her individual coworkers ate.

How many people ate fewer than 6 cookies?

Answers

Answer:

18 people

Step-by-step explanation:

count the x's over the 1, 2, 3, 4, and 5 dashes

1 = 3 people

2 = 5 people

3 = 3 people

4 = 4 people

5 = 3 people

3 + 5 + 3 + 4 + 3 = 18

Answer:

19 people not 18

Step-by-step explanation:

The triangle ABC had points at A(2,0), B (-1,3), and C(4,5) after undergoing a transformation, it’s new points are A’(6,0),B’(3,3), and C’(8,5) is the new figure congruent to the old figure? Why or why not?

Answers

Answer:

yes

Step-by-step explanation:

from the two sets of given points, we can conclude a translation of (x + 4, y + 0) occurred. when something is congruent the size and shape stay the same. translations only affect the location. therefore the answer is yes the transformation is congruent.

If AC = 14, find the value of x. Then find AB and BC.

Answers

Your question is incomplete; However, a similar question is:

If B is between A and C, AB = x, BC = 2x + 2, and AC = 14, find the value of x. Then find AB and BC.

This should serve as a guide

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]AB = x[/tex]

[tex]BC = 2x + 2[/tex]

[tex]AC =14[/tex]

Required

Determine x, AB and BC.

Since B is between A and C;

[tex]AB + BC = AC[/tex]

Substitute x for AB; 2x + 2 for BC and 14 for AC

[tex]x + 2x + 2 = 14[/tex]

[tex]3x + 2 = 14[/tex]

Collect Like Terms

[tex]3x = 14 - 2[/tex]

[tex]3x = 12[/tex]'

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

Substitute 4 for x in

[tex]AB = x[/tex]

[tex]BC = 2x + 2[/tex]

[tex]AB = 4[/tex]

[tex]BC = 2(4) + 2[/tex]

[tex]BC = 8 + 2[/tex]

[tex]BC = 10[/tex]

I really need some help! I'm really bad with mathematics/geometry! Given paralleogram ABCD≅parallelogram EFGH, which congruency statement is true? A. ∠B≅∠E B. BC≅GH C. ∠C≅∠G D. AD≅EF

Answers

Answer:

C

Step-by-step explanation:

The congruency statement ∠ C ≅ ∠ G  is the only true statement.

So option C is the correct option.

Given,

parallelogram ABCD parallelogram EFGH

We need to see the properties of parallelograms and make each property congruent to each other and see which of the options given is true.

The given options are:

A. ∠B≅∠E

B. BC≅GH

C. ∠C≅∠G

D. AD≅EF.

What are parallelograms and their properties?

It is a quadrilateral that has two pairs of parallel sides and the opposite angles are equal.

Properties of a parallelogram :

- The opposite sides are parallel and congruent.

- The opposite angles are equal.

- The consecutive angles are supplementary.

- If any one of the angles is a right angle, then all the other angles will be at    

 a right angle.

- The two diagonals bisect each other.

So if we compare two parallelograms the above properties are congruent.

Let's draw the two parallelograms ABCD and parallelogram EFGH.

 A____________ B                    E____________F

   \                            \                       \                         \

     \                            \                       \                         \

       \                            \                        \                         \

        D_____________C.                   H____________G

The following are congruent:

AB≅EF

BC≅FG

CD≅GH

AD≅EH

∠ A ≅ ∠ E

∠ B ≅ ∠ F

∠ C ≅ ∠ G

∠ D ≅ ∠ H

Checking the above congruent we see that we have  ∠ C ≅ ∠ G in the given option.

Thus, ∠ C ≅ ∠ G is the only correct option.

Learn more about parallelogram here:

https://brainly.com/question/11220936

#SPJ2

Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)? distance line plane point

Answers

Answer:

its D

Step-by-step explanation:

just took the quiz

The undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) as a point. Therefore, option D is the correct answer.

We need to identify the undefined geometric term from the options.

There are three undefined terms in geometry :

1) point 2) line 3) plane

What is the point?

A point has zero dimension and it is used to locate a figure on a coordinate plane.

The location of the figure is represented by a point in the form of ordered pairs (x,y), on the coordinate plane where x= abscissa and  y= ordinate.

A line is the one-dimensional straight indefinite path on the plane that has no width.

A plane is a two-dimensional flat surface that extends up to infinity.

Therefore, option D is the correct answer.

To learn more about an undefined geometric term visit:

https://brainly.com/question/949373.

#SPJ6

PLEASE HELP ME ASAP!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS

Answers

Q1

Answer:

[tex]x \leqslant \frac{5}{3} [/tex]

Step-by-step explanation:

[tex]3x \leqslant 5 \\ 3x \div 3 \leqslant 5 \div 3\\ x \leqslant \frac{5}{3} [/tex]

explanation for second step:

you divide each side by 3 to get rid of the '3' in '3x'

Add.
-3 + (-4)

And

4 pluse (-3)

Answers

Answer:

-6

Step-by-step explanation:

-3 + (-4) 4 + (-3) is -6 I hope that helps because that what I got

3(x - 2) = 18
what is the solution?

Answers

Answer: x=8

Step-by-step explanation:

3(x-2) =18

3(8-2) =18

24-6    = 18

     18   =  18

The outside temperature is -13 degrees. The temperature drops by 9 degrees, but then increases by 16 degrees. What is the final temperature outside? *

Answers

Answer:

The final outside temperature = -6°

Step-by-step explanation:

GIven that :

the outside temperature = -13°

The temperature drops by 9°

But then increases by 16°.

The final temperature can be expressed as:

the outside temperature - temperature drop

= -( 13° - 9°)

= - 22°

it is said that the temperature later increase by 16°

∴  - 22° + 16°

= -6°

The final outside temperature = -6°

8. The square and equilateral triangle below have equal perimeters. Find the value of x. Then, calculate the perimeter of each shape. 78 - 8.1 10x - 13 x: 8 Perimeter: 9​

Answers

Answer:

x=3.3

P = 60

Step-by-step explanation:

The perimeter of the square is

P = 4s

   = 4(7x-8.1)

    =28x -32.4

The perimeter of the equilateral triangle is

P = 3s

   = 3(10x-13)

    =30x-39

The perimeters are equal

28x -32.4 = 30x-39

Subtract 28x from each side

28x-28x -32.4 = 30x-28x-39

-32.4 = 2x-39

Add 39 to each side

-32.4 +39 = 2x-39+39

6.6 = 2x

Divide by 2

6.6/2 = 2x/2

3.3 =x

The perimeter is

30x-39 = 30*3.3 -39 = 99-39 = 60

                           

PLEASE HELP QUICK!!!! Which on are function and which ones are not? A. {(1, 2), (−3, 2), (4, −1), (2, 1), (2, 3)} B. {(−3, 1), (4, 2), (3, −1), (2, −4)} C. {(4, 2), (4, −1), (3, −2), (1, 4), (−2, 4)} D. {(3, −2), (−3, 2), (5, −2), (−1, −1)}

Answers

A. {(1,2) , (-3,2), (4,-1), (2,1), (2,3)}

B. {(-3,1), (4,2), (3,-1), (2,-4)}

C. {(4,2), (4,-1), (3,-2), (1,4), (-2,4)}

D. {(3,-2), (-3,2), (5,-2), (-1,-1)}

Function is something like domain mustn't have the same value in a single set. For example,

{(1,2), (3,4), (5,9)} This is Function because in a single set, none of the domains (x value) are the same. (Domain is the set of x, so the domains are 1,3 and 5)

{(1,2), (1,5), (2,9)} This is NOT Function because in a single set, 2 orders (1,2) and (1,5) both have same domain (x value) and that is both x = 1.

For the A, It's not function because of (2,1) and (2,3)

For the B. It's function because all x values (domain) are different. (they mustn't be the same value or else it won't be function)

For the C, Not function because of (4,2) and (4,-1)

For the D, it's function.

Question 5 of 10
What is the solution to this equation?
5x-4 + 3x = 36

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]5x-4+3x=36[/tex]

Combine like terms:

[tex]8x-4=36[/tex]

Add 4 to both sides. The left side cancels:

[tex](8x-4)+4=(36)+4\\8x=40[/tex]

Divide both sides by 8:

[tex](8x)/8=(40)/8\\x=5[/tex]

Thus, the value of x is 5.

Answer:

The value of x=5

Step-by-step explanation:

1) 5x-4+3x=36

2) (Add 4 to each side so that the 4 cancels out) 5x+3x=40

3) (Combine like terms, 5x and 3x) 8x=40

4) (Solve: divide each side by 8) x=40

5) answer: 5

I hope this helps let me know if I am wrong and good luck

Can you help me with this i will give you a branliest

Answers

If thats the whole question, it’s a pattern so the angle doesn’t change at all
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