b). Kirchoff has more money than Maxi. If Kirchoff gave Maxi $20, they would have the
same amount. While it Maxi gave Kirchoff $22, Kirchoff would then have twice as much as
Maxi. How much does each one actually have?​

Answers

Answer 1

Answer:

k = 146

m= 106

Kirchoff has $146

Maxi has $106

Step-by-step explanation:

For the purpose of the equations, I’ll call Kirchoff and Maxi a and b respectively.

a - 20 = b + 20 (equation 1)

2(b - 22) = a + 22 (equation 2)

We can juggle those around for

a = b +40 (equation 1r (re-arranged)) and

2b - 44 = a + 22 so 2b - 66 = a (equation 2r (rearranged))

The equations are now:

a = b + 40 (new equation 1) and

a = 2b - 66 (new equation 2)

Substitute from new equation 1 to new equation 2:

b + 40 = 2b - 66 so 40 = b - 66 making b = 106.

Plug b = 106 into new equations 1 and 2 for:

a = 106 + 40 (new equation 1) and

a = 212 - 66 (new equation 2)

This gives a = 146 and b = 106

TEST: There’s a gap of $40, so giving $20 from a to b makes them equal.

SECOND TEST: Subtracting $22 from b makes it $84 and giving that sum to a makes it $168, twice as much. The tests work.

Kirchoff has $146 and Maxi has $106.


Related Questions

Solve each equation:
5x=1

Answers

Answer:

5x=1

Step-by-step explanation:

51

Find the slope of each line.

Answers

the slope is -3/4 :)

1. A recipe for a pan of brownies requires 1.50
cups of milk, 0.675 cups of sugar, and 1.05
cups of oil. How many cups of ingredients
will there be in the mixing bowl?

Answers

Answer:

3.225 cups

Step-by-step explanation:

1.50 cups + 0.675 cups + 1.05 cups = 3.225 cups

1.50 cups

1.05 cups

0.675 cups

3.225 cups

A student finished a 30 question test in 75 minutes . Which rate best represents the relationship between the numbers of minutes spent on test questions and the number of questions?

Answers

30 questions/75 mins

1 question/2.5 mins is your answer

Answer:

It dosent say at this rate so all you need is this

Minutes/ questions which your answer is

75/30

Help plz mportant!!! Choose the point-slope form of the equation below that represents the line that passes through the point (-1.6) and has a slope of -3.
а. y - 6 = -3x - 3
b. y - 6 = -3(x + 1)
c. y=-3x + 3
d. 3x+y=3​

Answers

Answer:

B

Step-by-step explanation:

point slope uses the form y - y1 = m(x - x1)

m stand for slope. in this case it is -3

x1 is -1 and y1 is 6

when you plug it in, you get

y - 6 = -3(x - [-1])

which simplifies to your final answer: y - 6 = -3(x + 1)

What method can be used to prove the triangles are congruent?

Answers

The answer would be aas

Answer:

The answer to this question would be AAS (Angle-Angle-Side)

Step-by-step explanation:

The triangles both have the same side and another same angle as shown in the image, but to make this AAS, there must be another angle, which is the center point of both triangles... these are the same because they are vertical angles.

which set of the numbers is equivalent to 75%? (0.75 3/5), (7.5 75/100), (3/4 0.075), (15/20 0.75)

Answers

Answer:

0.75

Step-by-step explanation:

it has to be 0.75 because to make a percentage you move decimal to the left twice and its a %. But i am sorry i do not know the second one, maybe someone else can help :)

Answer:

75.0

Step-by-step explanation:

I LUV MATH TeeHee


i actually hate it-

Answers

lol samee
i hate it too

Answer:

I HATE MATH TeeHee

Step-by-step explanation:

i actually hate it-

ED GE NU IT Y PE OP LE

what is the slope of the line?
plss answer now

Answers

Answer:

y= -3 I think but the next person will answer this for you

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Hint :

Slope of horizontal lines is

zero (( 0 )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ;

[tex]slope = 0[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Sam buys several pairs of jeans for $16.50 each, and a shirt for $25. Louis goes to a different store and buys the same number of jeans as Sam for $17.50 each, plus a shirt for $15. Is there a situation where both will pay the same amount for their purchases?
HELP MEEEE I HAVE TO TURN IT IN IN 10 MINUTES

Answers

There is not one !!!!!

26 - 20f = 6 please help me

Answers

answer : f=1

explanation : subtract 26 from both sides and then divide by -20, making f = q

Somebody help me fast
This is correct?!

Answers

Answer:

A.false

B.true

C.false

D.true

HEYO! so i have this problem that needs to be solved and not feeling good doesn't help either lol. So here it is....


what is 14/25 in simplest form?

Answers

Answer:

0.56

Step-by-step explanation:

Answer:

14/25

Step-by-step explanation:

Because you cant divide both of them by the same number.

Which shape has six square, flat sides that are equal in size?

Answers

Answer: cube

Step-by-step explanation:

Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides

Which of the following statements are true for a rhombus? It has two pairs of parallel sides. It has two pairs of equal sides. It has only two pairs of equal sides. Two of its angles are at right angles. Its diagonals bisect each other at right angles. Its diagonals are equal and perpendicular. It has all its sides of equal lengths. It is a parallelogram. It is a quadrilateral. It can be a square. It is a square.

A leatherback sea turtles was swimming at 850 below sea level. He went 165 meters and then descendes 165 meters. Draw a number line to show the change in position of the sea turtles from depth it was swimming. What integer represents the sea turtles change in position?

Answers

Answer:

0

Step-by-step explanation:

Initial. Position = (- 850) below sea level

Upward movement = 165m

Deownward movement (descent) = (165m

Change in position : net change

Upward movement + downward movement

(165 + (-165)m = (165 - 165)m = 0

The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
d = 0.04v + 1.1v
What is the stopping distance for a velocity of 10 miles per hour?
a. 10 ft
b. 7 ft
c. 15 ft
d. 13 ft

Answers

Note: The must be [tex]0.04v^2[/tex] instead of [tex]0.04v[/tex].

Given:

The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:

[tex]d=0.04v^2+1.1v[/tex]

To find:

The stopping distance for a velocity of 10 miles per hour.

Solution:

We have,

[tex]d=0.04v^2+1.1v[/tex]

where, d is stopping distance and v is velocity.

Substitute v=10  in the given equation to find the stopping distance for a velocity of 10 miles per hour.

[tex]d=0.04(10)^2+1.1(10)[/tex]

[tex]d=0.04(100)+11[/tex]

[tex]d=4+11[/tex]

[tex]d=15[/tex]

So, the stopping distance for a velocity of 10 miles per hour is 15 ft.

Therefore, the correct option is c.

The shadow of an object varies directly with its height.The shadow of a 25 ft trees is 6 ft.How long is the shadow of an 18 ft tree

Answers

Answer:

Well i got 4.32 but im not completely sure

Step-by-step explanation:

Store M sells 5 DVDs for $49. Store S sells 8 DVDs for $59.50. Which store offers the best deal
on DVDs?

Answers

hi

5 for  49  means    : 49/5   =  9+4/5 = 9.80 each

8 for  59.50   means     59.50/8 ≈  7.44

second offer is the best deal

Q1W7 Learning Task 1 (Introduction)
Factoring Polynomials

On the chart below, find a factor in Column B of each of the given polynomials in Column A using the Factor Theorem.
Column A
1. x² + 6x + 8
2. x³ - 7x + 6
3. x³ - 2x² - 5x + 6
Column B
x-3
x-1
x+2
x+3
x+1

Answers

Answer:

Column A                                            Column B

1. x² + 6x + 8                                        x-3,x+2

2. x³ - 7x + 6                                       x+1, x+2, x+3

3. x³ - 2x² - 5x + 6                              x-1, x+2, x-3

Step-by-step explanation:

Column A                                            Column B

1. x² + 6x + 8                                        x-3,x+2

2. x³ - 7x + 6                                       x+1, x+2, x+3

3. x³ - 2x² - 5x + 6                              x-1, x+2, x-3

Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.

1. x² + 6x + 8      

= 1+6(1) +8= 15

1. x² + 6x + 8

  4+ 12+8 = 24

1. x² + 6x + 8

 (-1)² + 6(-1)+ 8

= 1-6+8= 3

1. x² + 6x + 8

 (-2)² + 6(-2)+ 8

= 4-12+8= 0

1. x² + 6x + 8

(3)²+ 6(3) +8

= 9+18+8 ≠ 0

1. x² + 6x + 8

(-3)²+ 6(-3) +8

= 9-18+8 =-1

For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3

2. x³ - 7x + 6

1-7+6= 0

2. x³ - 7x + 6

(-1)³-7(-1) +6

= 13-1≠0

2. x³ - 7x + 6

(2)³-7(2) +6

= 8-14+6= 0

2. x³ - 7x + 6

(-2)³-7(-2) +6

= -8 +14+6

2. x³ - 7x + 6

(-3)³-7(-3) +6

= -27+21+6 = 0

For this polynomial we have x+1= 0 , x+2 = 0  and x+3= 0, or x=-1,-2,-3

3. x³ - 2x² - 5x + 6

(1)³-2(1)²-5(1)+6

= 0

3. x³ - 2x² - 5x + 6

(-1)³-2(-1)²-5(-1)+6

= -1 -2 +5+6

=8

3. x³ - 2x² - 5x + 6

(2)³-2(2)²-5(2)+6

= 8-8-10+6

=-4

3. x³ - 2x² - 5x + 6

(-2)³-2(-2)²-5(-2)+6

= -8-8+10+6

=0

3. x³ - 2x² - 5x + 6

(3)³-2(3)²-5(3)+6

= 27-18-15+6

=0

3. x³ - 2x² - 5x + 6

(-3)³-2(-3)²-5(-3)+6

= -27-18+15+6

=-14

For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3

What is the slope of a line perpendicular to the line whose equation is 2x-y=−6. Fully reduce your answer.

Answers

Answer:

m-perpindicular= -[tex]\frac{1}{2}[/tex]

PLEASE MARK BRAINLIEST

Explain the economic activities of the people in North America.​

Answers

The people living in the north America are involved in different economic activities like animal husbandry, industries, services, farming, fishing etcc …

The current exchange rate for the mexican peso to the us dollar is 3 to.if a tourist dinner bill was 15 pesos,what is the amount in the us dollar​

Answers

Answer:

5

Step-by-step explanation:

3x=15

x=15/3

x=5

please HELP ASAP
What is the missing side, x?

Answers

Answer:

76

Step-by-step explanation:

Dan uses 340 grams of blueberries to make 24 fluid ounces of smoothie. last week he made 54 fluid ounces of smoothie. how many grams of blueberries did dan use last week?

Answers

Answer: He used 765 grams of blueberries.

Step-by-step explanation:

The quantity of blueberries is directly proportional to the quantity of smoothie.

Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]

[tex]y_2=54\text{ fluid ounces}[/tex]

To find : [tex]x_2[/tex]

[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]

[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]

Hence, he used 765 grams of blueberries.

Expand the product (x-3)(x+2)

Answers

The answer is-

x^2−x−6

simplify the square root of 272​

Answers

If you are looking for the square root, which I’m assuming. It’s 4 square root of 17, or 16.492

Room temperature ranges from 25 degrees Celsius to 25 degrees Celcius. Find the range of room temperature in degrees Fahrenheit. Use the formula F-32=1.8C to convert from the Celsius scale to the Fahrenheit scale.

Answers

Complete question :

Room temperature ranges from 20 degrees Celsius to 25 degrees Celcius. Find the range of room temperature in degrees Fahrenheit. Use the formula F-32=1.8C to convert from the Celsius scale to the Fahrenheit scale

Answer:

68°F to 77°F

Step-by-step explanation:

Given that:

Temperature range in degree celcius :

20°C to 25°C

The temperature range in degree Fahrenheit is :

Using the relation :

F-32=1.8C

20°C :

F-32=1.8(20)

F = 36 + 32

F = 68°

25°C :

F-32=1.8(25)

F = 45 + 32

F = 77°

Hence, range of room temperature in Fahrenheit scale is :

68°F to 77°F

Please help, I will give brainliest to correct answer!!
n/4 = 6
What is the value of n?

Answers

Answer:

N=24

Step-by-step explanation:

N/4=6 (times 4 to the other side)

N=24

Answer:

n = 24

Step-by-step explanation:

1) Isolate n!

n/4 = 6

×4 ×4

n = 24

The ratio of 6th graders to 7th graders in a class of 35 students is 3:4. How many more 7th graders than 6th graders are in the class?

Answers

Answer:

Assessment started: undefined.

Item 1

The floor of a dollhouse is shaped like a rectangle with a length of 34 foot and a width of ​512​ foot. Use this model to determine the floor's area.

What is the floor's area?

Enter your answer as a fraction in simplest form by filling in the boxes.

Step-by-step explanation:

Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed, while only 12% of the 525 boys were left handed. Which is closest to the number of left-hander girls at mason Junior high school?

Answers

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let.me solve the number of left handed girls and you then choose the closest answer to the value that I get.

Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed. Therefore, the number of left handed girls will be:

= 32% × 475

= 32/100 × 475

= 0.32 × 475

= 152 left handed girls

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