George has 9 more dollars than Frank, who has 3 more than Richard. What is the least amount of money that must be exchanged so that they each have the same amount of money?

I know the answer is $7 but is there a quicker way to do it instead of guess and check?

Answers

Answer 1
r+r+3+r+12

3r+15, let r=1

3+15=18, so we need each person to have 6

we know that g=12+1=13, f=3+1=4, r=1

So g must give away 7. f must take 2, and r must get 5

So 7+2+5=14 got exchanged in total.

But I can see that only $7 dollars was taken to be distributed to the other two as well.

Related Questions

Tara makes the following statement: "There is a 70% chance of sunny weather tomorrow and a 60% chance I will go to the beach." What is the probability that it will be sunny tomorrow and Tara will go to the beach? 42% 22% 11% 13%

Answers

Answer:

The probability is 42%

Step-by-step explanation:

The probability that A and B, two independent events, happens is given by:

P=P(A)*P(B)

In this case, lets call A the event in which there are sunny weather tomorrow and B the event in which Tara goes to the beach. Taking into account that they are independent, that means that one event doesn't affect the other, the probability P that it will be sunny tomorrow and Tara will go to the beach is:

P=0.7*0.6=0.42

Multiplying P by 100, we get:

P=42%

So, the probability that it will be sunny tomorrow and Tara will go to the beach is 42%

While visiting Yosemite National Forrest, Joe approximated the angle of elevation to the top of a hill to be 40 degrees. After walking 450 ft closer, he guessed that the angle of elevation had increased by 18 degrees. Approximately how tall is the hill?

Answers

Draw a diagram to illustrate the problem as shown in the figure below.

Let h = the height of the hill.
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x
h = x tan40 = 0.8391x             (1)

At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is 40 + 18 = 58°.
By definition,
tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135          (2)

Equate (1) and (2).
1.6003x - 720.135 = 0.8391x
0.7612x = 720.135
x = 946.0523

From (1), obtain
h = 0.8391*946.0523 = 793.8 ft

Answer:  The height of the hill is approximately 794 ft (nearest integer)

Solve the formula for the perimeter of a rectangle with width w and length l,for the length P=2w+2l solve for l

Answers

Answer:

[tex]l=\frac{P}{2}-w[/tex]

Step-by-step explanation:

we know that

The formula for the perimeter of a rectangle is equal to

[tex]P=2(w+l)[/tex]

where

l is the length

w is the width

Solve for l

That means ----> Isolate the variable l

Divide by 2 both sides

[tex]\frac{P}{2}=\frac{2(w+l)}{2}[/tex]

Simplify right side

[tex]\frac{P}{2}=w+l[/tex]

Subtract w both sides

[tex]\frac{P}{2}-w=w+l-w[/tex]

Simplify right side

[tex]\frac{P}{2}-w=l[/tex]

Rewrite

[tex]l=\frac{P}{2}-w[/tex]

Answer:Solve P = 2l + 2w for w.

The first step is to isolate the variable term, 2w.

Step-by-step explanation:

What is the transformation shown in the graph?

90° rotation
180° rotation
270° rotation
reflection

Answers

It's a 90 degree rotation since it only moves one quadrant up clockwise

The formula for the volume of a cylinder with a height of 5 units is V(r)=(5)(pi)(r^2) where r is the radius of the cylinder. What is the domain and range of this function?

Answers

The domain is all real numbers and the range is all real numbers greater than or equal to 0.

Answer:

D=(-∞,∞) Range = [0, ∞)

Step-by-step explanation:

V(r) =5πr²

Firstly we have to work with π as ≈ 3.14 so that we can make it better, by doing this we reveal it more clearly its quadratic form

V(r)= 15.71r²

As there is no restriction algebraically speaking. The Domain is all the Real Line. This is a Total Function.

As for the Range, since any negative value plugged into x² will turn into a positive one we'll only have positive results for y to each entry of x. So the Range is f(x) ≥0

As you can check it below.

Which statement belongs in the Perimeter section of the Venn Diagram?
A.The distance around a closed figure
B.The space or region of a closed figure
C.Base and altitude is found
D.Measured in units squared

Answers

The answer would be A

A. The distance around a closed figure is the correct answer.

Explanation:

The definition of perimeter is : The summation of the outer sides of any closed figure. Like in a rectangle, its the sum of all the four sides. In a circle, its the measure of the outline of the circle also called the circumference.

Hence, the distance around a closed figure is called its perimeter.

8 men and 6 women arrive separately in a random fashion to a meeting. What is the probability that the first 4 people to show up are men?

Answers

First, you add 8 and 6 which will be 14. Since it's asking for the first four, it would be 4 over 14.


You can reduce that which is always a good idea and it comes out to be 2 over 7. That because you would divide both the top and bottom (like usual) by 2 each.


If you would want it as a percent, you would turn it into a decimal first. The decimal would be .02857. That's of course if you divide 2 and 7 like normal.


From there you would move the decimal point over two places making it 28.57 percent.


Hope this helps!!

Linda made $238 for 17 hours of work.
At the same rate, how many hours would she have to work to make $168?

Answers

238/17= 14 dollars per hr
168/14= 12 hrs
Final answer: 12 hrs
for every hour of work that Linda does, she earns $14.
Therefore if she works for 12 hours, she will earn $168.

you can solve this by doing 238 divided by 17 which equals 14
and then do 168 divided by 14 which is 12.

a relationship is linear if it has a(n) (negative, positive, constant, or undefined) rate of change.

Answers

If it has a constant rate of change

Answer:

first one is (constant)

second answer is (slope)

the third answer is 2

Step-by-step explanation:

how much chocolate with each person get if 3 people share 1/2 lb of chocolate equally

Answers

Each person will get 1/6 of the chocolate

(06.04 LC)

If x = 2.7, 5x = ____. (Input decimals only, such as 12.7.)

Best answer will get BRAINLIEST!!!

Answers

y=5x, when x=2.7

y=5(2.7)

y=13.5
If x = 2.7, 5x would = 5(2.7), because 5x can also be written as 5 times x. So if x = 2.7, it could be written as 5 times 2.7, hence, 5(2.7).

5 * 2.7 = 13.5

Your answer is 13.5 .

Gary mails 10 to 3 power flyers to clients in one week. How many flyers does Gary mail

Answers

[tex]10^3=10*10*10=1000[/tex]
10×10×10=1000 You have to mutliply 10×10 which gets you 100 and then multiply that by 10 which equals 1000

You are making bouquets to sell. You have 60 roses, 84 daisies, and 24 lilies. Each bouquet will have the same number of each kind of flower. You want to use all of the flowers. What is the greatest number of bouquets you can make?

Answers

basically, u need to find the greatest common factor of 60,84,and 24. The GCF of these numbers is 12

60/12 = 5 roses
84/12 = 7 daisies
24/12 = 2 lilies

u can make 12 bouquets...each containing 5 roses, 7 daisies, and 2 lilies

Answer:

you can make 12 bouquets...each containing 5 roses, 7 daisies, and 2 lilies

Step-by-step explanation:

diana rode her stateboard at a average speed of 12mph what was her speed in feet per hour

Answers

her 12mph would be 17.6 ft per hr

Answer:

63,360 ft/h

Step-by-step explanation:

K(-5,-2), M(5,4), S(-3,6), T(3,-4)

Answers

K(-5,-2)  and M(5,4)
S(-3,6)   and  T(3,-4)
Let's calculate the slope m₁ of KM

m₁ = (y₂-y₁)/(x₂-x₁) → m₁ =(4+2)/(5+5) = 6/10 →m₁ = 3/5

Now let's calculate the slope m₂ of ST:
m₂ = (-4-6)/(3+3) → m₂ = (-10)/6 → m₂ = -5/3

We can conclude that KM and ST are perpendicular since thee product of their respective slopes (m₁).(m₂) = - 1
Proof: (3/5).(-5/3) = -15/15 = -1

I need help with this question

Answers

    8*7
--------------
10 + (2*2)
= 56/14
= 4
We have an expression and we know the values of the variables. Replace the variables with their respective values.

[tex]\frac{8 * 7}{10 + 2 * 2}[/tex]
[tex]\frac{56}{10 + 4}[/tex]
[tex]\frac{56}{14}[/tex]
4

So, 4 is the answer.

A line passes through (9, –9) and (10, –5). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers

Answers

Final answer:

a. The equation for the line in point-slope form is y + 9 = 4(x - 9), with a slope of 4.

b. The equation can be rewritten in standard form as 4x - y = 45.

Explanation:

a. To write the equation for the line in point-slope form, we need to determine the slope (m) and one point on the line (x1, y1).

The slope can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Taking the points (9, -9) and (10, -5), we can substitute the values into the formula to get m = (-5 - (-9)) / (10 - 9) = 4 / 1 = 4.

Now we can use the formula y - y1 = m(x - x1) with the point (9, -9) to get y - (-9) = 4(x - 9). Simplifying, we have y + 9 = 4x - 36.

b. To rewrite the equation in standard form, we need to bring the equation to the form Ax + By = C, where A, B, and C are integers.

Starting from the point-slope form, we can expand and simplify the equation to get y + 9 = 4x - 36 becomes y = 4x - 45.

To make all the coefficients integers, we can multiply the equation by 5 to get 5y = 20x - 225, rearrange the terms as -20x + 5y = -225, and divide every term by -5 to get the standard form 4x - y = 45.

Indicate, in standard form, the equation or inequality that is shown by the graph. (0,4)(4,0)


Answers

(0,4)(4,0)
slope = (0 - 4) / (4 - 0) = -4/4 = -1

y = mx + b
slope(m) = -1
use either of ur points....(0,4)...x = 0 and y = 4
sub and find b, the y int
4 = -1(0) + b
4 = b

equation is : y = -x + 4....in standard form, it is : x + y = 4

Answer:

standard form y = -x + b.

Step-by-step explanation:

Given : Graph and points (0,4)(4,0).

To find : Standard form of equation .

Solution : We have given that  points (0,4)(4,0).

Let [tex]x_{1}[/tex] = 0 ,   [tex]x_{2}[/tex] = 4

[tex]y_{1}[/tex] =4  ,      [tex]y_{2}[/tex] = 0.

Slope = [tex]\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }[/tex].

Plugging values

Slope = [tex]\frac{0 - 4}{4 - 0}[/tex].

Slope = -1 .

Standard form y = m x + b

                        y = -1 x + b.

Plug (0,4)  

 4 = -1 ( 0)+ b

4 = b .

Now , plugging values b= 4 , m = -1.

y = -x + b.

Therefore, standard form y = -x + b.

what else would need yo be congruent to show that EFG HIJ by SSS ?

Answers

The correct answer here is A. EG is congruent to HJ. SSS stands for side, side, side, so to prove congruency with this method, you would need all 3 sides to be congruent.

One of two complementary angles is 8 degrees less than the other.
Which of the following systems of equations represents the word problem?

x + y = 90 and x - y = 8
x + y = 90 and 90 - x = 8
x + y = 90 and y = 8x

Answers

I think it is the middle one becuase complimentary angles add up to 90 degrees and if one is 8 less than the other it would be proved like that.

Answer:  The correct option is

[tex](A)~~x+y=90,~~x-y=8.[/tex]

Step-by-step explanation:  Given that one of the two complementary angles is 8 degrees less than the other.

We are to select the correct system of equations represents the given word problem.

Let x and y represents the two complementary angles where y is less than x.

Since one angle is 8 degrees less than the other and y is less than x, so we have

[tex]x-y=8.[/tex]

We know that the sum of two complementary angles is 90 degrees, so we get

[tex]x+y=90.[/tex]

Thus, the required system of equations representing the given word problem will be

[tex]x+y=90,\\\\x-y=8.[/tex]

Option (A) is CORRECT.

Suppose that 19 inches of wire costs 57 cents.
At the same rate, how much (in cents) will 14 inches of wire cost?

Answers

57/19=3 cents per inch
14*3=42 cents

Sue surveyed the students at her school to find out if they like sandwiches and/or tacos. The table below shows the results of the survey: Like Sandwiches Do Not Like Sandwiches Total Like Tacos 43 7 50 Do Not Like Tacos 27 23 50 Total 70 30 100 If a student likes sandwiches, what is the probability that student also likes tacos? 43% 61.4% 71.4% 86%

Answers

                              like sandwiches          hate sandwiches         total
like tacos                         43                               7                          50
hate tacos                        27                             23                          50
total                                  70                             30                         100

if a student likes sandwiches...there are 70 that like sandwiches....what is the probability that the student also likes tacos....of the 70 that likes sandwiches, 43 of them also likes tacos..
43/70 = 0.614 = 61.4% <==.

Answer:

61.4%

Step-by-step explanation:

There are a total of 43+27 = 70 students that like sandwiches.

Out of these, 43 also like tacos; this is

43/70 = 0.614 = 61.4%

The population of a particular country was 28 million in 1985; in 1990, it was 36 million. The exponential growth function A=28e^{kt} describes the population of this country t years after 1985. Use the fact that 5 years after 1985 the population increased by 8 million to find k to three decimal places.

Answers

A=28e^(kt)
A= 36 million
T=5 years (1990-1985)
36=28e^(5k)
Solve for k
First divide each side by 28 to get
36/28=e^(5k)
Take the log
Log (36/28)=5k×log (e)
5k=log (36/28)÷log (e)
K=[log (36/28)÷log (e)]÷5
K=0.05

The value of k is 0.05.

The exponential growth function is: A = 28e^kt

Where

A = future value of population

e = 2.718

k = growth rate

t = time

The  exponential growth function can be written as:

36 = 28 x e^k 5

log(36/28) ÷ log(e) ÷ 5 = 0.05

A similar question was answered here: https://brainly.com/question/1440123

(-2)^2-(-8)*[(-2)-(-10)]

Answers

Greetings!

"How to solve [tex](-2)^2-(-8)*[(-2)-(-10)][/tex]"...

Follow PEDMAS:
[tex](-2)^2-(-8)*[(-2)-(-10)][/tex]
[tex]=(-2)^2-(-8)*[(-2)+(10)][/tex]
[tex]=(-2)^2-(-8)*(8)[/tex]
[tex]=4-(-8)*(8)[/tex]
[tex]=4-(-64)[/tex]
[tex]=4+64[/tex]
[tex]=68[/tex]

The answer would be 68.

Hope this helps.
-Benjamin

which system of linear inequalities has the point (2 ,1) in its solution set?

Answers

Answer:

its the last one number 4

Step-by-step explanation:

Final answer:

The system of linear inequalities that includes the point (2, 1) in its solution set is y ≥ 2x - 3 and y ≤ -2x + 5.

Explanation:

The system of linear inequalities that has the point (2, 1) in its solution set can be represented by the inequalities:

y ≥ 2x - 3y ≤ -2x + 5

To determine if the point (2, 1) satisfies these inequalities, we can substitute the x and y values into each inequality and check if the resulting statements are true. In this case, 1 is indeed greater than or equal to 2(2) - 3, and 1 is also less than or equal to -2(2) + 5, so the point (2, 1) is indeed in the solution set of this system of linear inequalities.

Learn more about Solution of Linear Inequalities here:

https://brainly.com/question/28484221

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3. Your teacher wants to make sure everyone has a pencil for class. She has 104 students in all of her classes. The office gave her 4 boxes of pencils. How many pencils were in each box if each of her students receives 1 pencil? Question 3 options: A 26 B 25 C 100 D 50

Answers

104 / 4 = 26 boxes <===
A because 104 divided by 4 equals 26. A is the correct answer

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown. R (1, 1) S (3, 1) T (1, 6) R' (–1, –1) S' (–3, –1) T' (–1, –6) Which best describes the transformation? The transformation was a 90° rotation about the origin. The transformation was a 180° rotation about the origin. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.

Answers

The transformation was a 180° rotation about the origin.
Because, if we take formulas of rotation about the origin:
X1=x*cos£+y*sin£.
Y1=-x*sin£+y*cis£.
And £=180°
Than we recieve
x1=-x
y1=-y

Answer:

B I took the test and got it right

Step-by-step explanation:

Jim earned $140 during the summer doing chores. He bought 2 sets of pens worth $25 each using his chore money. How much money was left after he bought the pen sets?

Answers

25 x 2 = 50

140-50 = 90 dollars left

$25 x 2 = $50
$140 - $50 = $90

$90 was left after he bought the pen set


Hope this helps : )

Solve for x

3x + 3 − x + (−7) > 6

Answers

3x + 3 - x + (-7) > 6

Simplify.

3x + 3 - x - 7 > 6

Add like terms.

(3x - x) + (3 - 7) > 6

Simplify.

2x - 4 > 6

Now, we're essentially trying to get "x" by itself.

So, we must add 4 to both sides.

2x > 6 + 4

Simplify.

2x > 10

Divide both sides by 2.

x > 5

~Hope I helped!~


Multiply (x – 4)(x2 – 5x – 6).

Answers

(x - 4)(x^2 - 5x - 6) =
x(x^2 - 5x - 6) - 4(x^2 - 5x - 6) =
x^3 - 5x^2 - 6x - 4x^2 + 20x + 24 =
x^3 - 9x^2 + 14x + 24 <==
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