A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).

Answers

Answer 1

The location of the treasure on the treasure map is (b) (7.6,8.8)

The ratio is given as:

[tex]m : n = 5 : 9[/tex]

The coordinates of the rock and the tree are:

[tex]Rock =(3,2)[/tex]

[tex]Tree = (16,21)[/tex]

The x and y coordinates of the location of the treasure are:

[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

So, we have:

[tex](x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})[/tex]

[tex](x,y) = (\frac{107}{14},\frac{123}{14})[/tex]

[tex](x,y) = (7.6,8.8)[/tex]

Hence, the location of the treasure is (b) (7.6,8.8)

Read more about line segment ratios at:

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A Treasure Map Says That A Treasure Is Buried So That It Partitions The Distance Between A Rock And A

Related Questions

What divided by 6 equals 0.41?

Answers

2.46

I think.

Because if you multiply 6 and 0.41 you get 2.46.

Answer:

2.46

Step-by-step explanation:

x/6=0.41

Multiply 6 on both sides and you get 2.46

Please help with this

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Answer:

the value of ST is 2 of its x is 2

combine k/4 and 5k


pls pls pls pls

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[tex]\dfrac k4 + 5k = \dfrac{k + 20k}4 = \dfrac{21k}4[/tex]

Your answer is 21k/4

Ernie played 35 soccer games this season. He won 28 games. Enter the
percentage of games Ernie won.

Answers

28 / 35 first divide

= 0.8

Then multiply the decimal with 100

0.8 x 100

= 80

There fore the answer is 80%

Hope this helps!
Brainliest is much appreciated!

Answer:

I think it;s 9.8

Step-by-step explanation:

You divide 35 and 28 i think

One triangle weighs how much

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Answer:

13

Step-by-step explanation:

what does 5/6 + (-4/9) (-2) equal

Answers

Answer:

HIya There!!!

________________________

To add fractions, find the LCD and then combine.

Exact Form:

31 /18

Decimal Form:

1.7 ¯ 2

Mixed Number Form:

1  13 /18

________________________

“Happiness resides not in possessions and not in gold, the feeling of happiness dwells in the soul.” – Democritus

________________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

The length of a rectangular hall exceeds its breadth by 7 m. If the breadth is decreased by 1 m and the length increased by 2 m, the area remains the same. Find the length and breadth of the hall.​

Answers

Answer:

Step-by-step explanation:

Let the length be :x+7

Let the breadth be:x

After addition and subtraction

Length:x+7+2=x+9

Breadth:x-1

A.T.Q

x(x+7) = (x+9)(x-1)

x²+7x = x(x-1)+9(x-1)

x²+7x = x²-x+9x-9

x²+7x-x²+8x = 9

8x-7x = 9

So, Breadth: 9m

So, Length :16m

4,268 ÷ 2 = n.

Find n.

A. 1,324

B. 1,234

C. 2,134

D. 2,314

Answers

Answer:

C.2,134

Step-by-step explanation:

4÷2=2

2÷2=1

6÷2=3

8÷2=4

Answer:

C

Step-by-step explanation:

Had that same question and I just guessed and got it right

If you have a book to read that is 20 pages, and you have read 15% of the book, how many pages as you read?

Answers

Answer:

you would of read 3 pages

Step-by-step explanation:

Can ya'll help- none of the answers i've gotten match any answers-

Answers

Answer:

1 8/11

Step-by-step explanation:

Using a calculator you can determine this information easily. I recommend doing so.

the answer is

1 and 8/11

explanation

Kent had $280. He spent 3/7 of his money on a present and 1/4 of his money on a meal. How much money did Kent spend altogether​

Answers

Answer:

$190

Step-by-step explanation:

he spent 3/7·(280), or $120 on a present

he spent 1/4·(280), or $70 on a meal

he spent $190 altogether

Which of the following could be used to solve the triangle below?



Answers

Answer:

sine

Step-by-step explanation:

cosine might be the answer because it is using the hypotenuse and it’s adjacent.

Why is the addition or subtraction of k to the output of a function considered a translation?

Answers

Answer:

k translates a function up or down

Step-by-step explanation:

hope this helped :)

Suppose you know the area of the yard is 7,500 square feet. How can you find the value of a?


—help and it comes with a picture

Answers

Answer:

a = 50

Step-by-step explanation:

From the introduction, you know that the area is 3a^2

You also know that it is 7500 square feet. \

So the two must be equal

3a^2 = 7500                    Divide by 3

a^2 = 7500/3

a^2 = 2500

The square root of 2500 is 50

sqrt(a^2) = sqrt(2500)

a = 50

The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?

Answers

Answer: The numbers are 71 and 15.

Explanation:
Let x = the first number
Let y = the second number

From what they give us, we know:
x - y = 56
5y = x + 4

Either one of the equations can be rearranged and substituted into the other equation to find one variable, or number.

5y = x + 4
5y - 4 = x or x = 5y - 4

x - y = 56
5y - 4 - y = 56
4y - 4 = 56
4y = 60
y = 15

To find the other variable (number), substitute that value in either equation.

x - y = 56
x - 15 = 56
x = 71

To check the solutions, substitute both variables into each equation to make sure they work.

x - y = 56
71 - 15 = 56
56 = 56

5y = x + 4
5*15 = 71 + 4
75 = 75

Researchers claim that 90% of people are left handed. Suppose the researchers' claim is true. Mrs. Reyes has a Statistics class with 30 students. What is the probability that exactly 25 of them are left handed?

Answers

Answer:

10.23% to the nearest hundredth.

Step-by-step explanation:

This is a Binomial Probability Distribution.

If exactly 25 are left handed then exactly 5 are right handed.

So (probability that exactly 25 are left handed)

= 30C5*(0.1)^5(0.9)^25

= 0.1023047706

= 10.23%.

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

This problem involves the binomial probability distribution, where we have a fixed number of trials (30 students in this case), and each trial has two possible outcomes (left-handed or not left-handed).

The probability of success (a student being left-handed) is 0.9, based on the researchers' claim.

The probability of a failure (a student not being left-handed) is 1 - 0.9 = 0.1.

We want to find the probability that exactly 25 students out of 30 are left-handed.

This can be calculated using the binomial probability formula:

[tex]P(X = k) = ^nC_ kp^k (1 - p)^{n-k}[/tex]

where:

n = 30 (the number of trials)

k = 25 (the number of successes we want)

p = 0.9 (the probability of success in each trial)

Plugging in the values, we get:

[tex]P(X = 25) = ^{30}C_ {25}~ 0.9^{25} ~0.1^5[/tex]

Using a calculator or statistical software, we can find that:

P(X = 25) ≈ 0.2031

Therefore,

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

Learn more about probability here:

https://brainly.com/question/14099682

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If 15 out of 25 students are boys,what percent of the class is made up of boys?

Answers

Answer: 6%

Step-by-step explanation:

Find the area of a trapezoid h= 4 b1= 1 1/2 b2 = 3 1/2

Answers

Answer:

10

Step-by-step explanation:

if

  a= base 1 (1.5)

  b= base 2 (3.5)

  h= height (4)

[tex]A=\frac{a+b}{2}h=\frac{1.5+3.5}{2} 4[/tex]

Translate this phrase into an algebraic expression.
7 increased by twice Goran's savings
Use the variable g to represent Goran's savings.

Answers

Answer: 2g + 7 or 7 + 2g

Step-by-step explanation:

7 increased by twice g can be represented as 2g + 7 or 7 + 2g

how to solve 1/2x +8 = 7+ 1/2x

Answers

[tex]\frac{1}{2}x +8=7+\frac{1}{2}x <=>\frac{1}{2}x -\frac{1}{2}x =7-8<=>0x=-1[/tex] (no solution)

P/s:    [tex]\frac{1}{2}x +8\neq 7+\frac{1}{2}x[/tex]

Ok done. Thank to me :>

The sum of 3 and m
A.x-3
B.1/2y
C.3+m
D.14+3x
E.x+5
F.14+4x

Answers

Answer:

C

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

first of all thank you for reading this

it's addition which 3 + m

What is Decrease 20g by 10% please?

Answers

Answer:

18

Step-by-step explanation:

please help me asap, i suck at math tbh :)

ty!

Answers

x intercepts: (9,0)
y intercepts: (0,-6)

Answer:

Y intercept = (0,-6)

X intercept = (9,0)

Step-by-step explanation:

To find the y-intercept of an equation, let x = 0 and then solve for y

6(0) - 9y = 54 (6 times 0 gives us 0)

0 - 9y = 54 (subtract 9y from 0 gives you -9)

-9y = 54 (divide both sides by -9, the left side cancels out and the right side gives you -6)

y = -6 and x = 0

To find the x-intercept of the equation just let y = 0 and then solve for x

6x - 9(0) = 54 (9 times 0 gives us 0)

6x - 0 = 54 (subtract 0 from 6x gives us 6x)

6x = 54 (divide both sides by 6, left side cancels, right side gives 9)

x = 9 and y = 0

which statement describes the solution to the system of equations?

Answers

Answer:

The solution is (3, 5).

Step-by-step explanation:

The solution to a system of equations is a point that satisfies both equations - that is, a point that you can input to both equations that makes both of them true. On a graph, you can find this solution by searching for the place where the lines intersect.

In this case, it looks like the lines intersect at the point (3, 5), so this is our final answer. Hopefully that's helpful! :)

The solution is (3, 5), this statement describes the solution to the system of equations.

Option B is correct.

Here, we have,

The statement that describes the solution to the system of equations where two lines intersecting at (3, 5) is:

"The point of intersection of the two lines is (3, 5)."

When two lines intersect at a single point, that point is the solution to the system of equations.

In this case, the coordinates (3, 5) represent the x and y values where the two lines cross each other.

This means that both equations are satisfied when x = 3 and y = 5.

The solution to a system of equations is a point that satisfies both equations - that is, a point that you can input to both equations that makes both of them true.

On a graph, you can find this solution by searching for the place where the lines intersect.

"The point of intersection of the two lines is (3, 5)."

Option B is correct.

To learn more on equation click:

https://brainly.com/question/14468218

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Solve for h. (h − 8)(h + 2) = 0

Answers

Answer:

donwload the gautmaht this is very powerful calculator to math problems

Step-by-step explanation:

make this is helpful too you

The number of feet in an unknown
number of yards. Let b = the variable.
Algebraic expression:

Answers

There are 3feet in one yard.

Let B = number of feet

Let Y = number of yards

B = 3Y

(THE ULTIMATE QUESTION)solve one step equation (will also give Brainliest)


1. 3x = -18

2.x/4 = 16

3.-9x = 45


4.x + 8 = -10

5.-3x = -9

6.x/-2 = -3

Answers

Answer:

1 = --6

2 x=64

3 x= --5

4 x= --18

5 x=3

6 x=6

Step-by-step explanation:

GIMME BRANlIEST PLZZZ

2(5 - 8x) -13 = 9(1 - x) -12 ​

Answers

2 (5 - 8x) - 13 = 9 (1 - x) - 12

10 - 16x - 13 = 9 - 9x - 12

10 - 13 - 16x = 9 - 12 - 9x

- 3 - 16x = - 3 - 9x

- 3 + 3 = - 9x + 16x

0 = 7x

0/7 = x

0 = x

_____

Hope it helps ⚜

Answer:

x = 0

Step-by-step explanation:

2(5 - 8x) - 13 = 9(1 - x) -12 ​=> 10 - 16x - 13 = 9 - 9x - 12=> -3 - 16x = -3 - 9x=> 0 = 16x - 9x=> 0 = 7x => x = 0

Conclusion:

Therefore, the answer is 'x = 0'

!! Hoped this helped !!

[tex]BrainiacUser1357[/tex]

Calculate the average of the numbers shown22,48,11 ,34,5

Answers

Answer:24

Step-by-step explanation:

22+48+11+34+5=120

120/5=24

what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5

Answers

Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.

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