A forest has 1260 trees.
The trees are maple, beech or oak.
A fifth of the trees are maple and the number of maple trees is 3 times the number of beech trees.
The rest of the trees are oak.
number of oak : number of beech = n : 1
Work out the value of n .
You must show how you get your answer.

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf n = 11}[/tex]

Step-by-step explanation:

Total trees = 1260 trees

Maple trees:

[tex]\displaystyle = \frac{1}{5} \ of \ total \ trees\\\\= \frac{1}{5} \times \ 1260\\\\= \frac{1260}{5} \\\\= 252 \ maple \ trees[/tex]

Beech trees:

Given that:

Maple trees = 3 × beech trees

=> There are 252 maple trees.

252 = 3 × beech trees

Divide 3 to both sides

252 / 3 = beech trees

84 trees = beech trees

[tex]\boxed{\sf beech \ trees = 84 \ trees\\}[/tex]

Oak trees:

It is said that all other trees are oak trees.

So, oak trees will be:

= total trees - maple trees - beech trees

= 1260 - 252 - 84

= 924 trees

The ratio of oak trees to beech trees:

= 924 : 84

Divide 84 to both sides

= 11 : 1

The question says:

number of oak : number of beech = n : 1

So, from the answer, it is clear that:

n = 11

[tex]\rule[225]{225}{2}[/tex]


Related Questions

Laura’s birthday party has three different colored tables: pink, purple, and green. The pink table has 8 seats. The purple table has 10 seats, and the green table has 8 seats. Laura will assign seats as her friends arrive at her party. What is the probability that the first guest at the party will be placed at the pink table?

Answers

Hello! to find probability, first we need to add the amount of seats together which will give us the total.

8+10+8=26

if there is 26 seats and 8 of them are pink, then the probability of laura’s friend getting a pink seat is 8/26, or 4/13 simplified.

How many like terms are in the expression a3+3a2b-4ab-11b+7

Answers

Answer:

There are five terms.

Terms in an expression contains variables and numbers. They are separated by any operators like addition and subtraction.

In this expression the terms are:

a^3,  3a^2b , -4ab, -11b and 7

As you can see, there are five terms in the expression

Nate has the following data:
5
t
14
14
7 3
If the range is 13, which number could t be?

Answers

it’s ::::: i think this because

Your brother is twice as tall as your sister.
A player scored 5 less points than Rodger.
8 fewer than the sum of 14 and a number

Answers

What’s the question

WILL GIVE BRAINLIEST
Graph the step function over the interval

Answers

Answer:

hope this helps

timomthy began his math homework at 5:17 pm he finished at 5:49 how many minutes did he send on his math homework

Answers

Answer:

32 minutes

Step-by-step explanation:

49 - 17 = 32

Timothy spent 32 minutes on his math homework.

Answer: just count from 17 to 49 and then boom answer!!! that is if its still pm when he is done.

help! p(x) = 4x^4 - 10x^3 + 8x - 1
x = 8

Answers

Answer:

p(8) = 11,327

Step-by-step explanation:

Hey there!

In order to find the answer, all we need to do is subtitute the x values for 8

After substituting, the equation will look like this:

[tex]p(8)=4(8)^4-10(8)^3+8(8)-1[/tex]

Now we simplify

8 to the power of four is 4096 and when you multiply that by 4, you get 16384

8 to the power of 3 is 512 and when you multiply that by -10, you get -5120

8 times 8 is 64

And then there is -1

Now all we have to do is combine all the answers together for one final answer

16384-5120+64-1 is equal to 11327

So the output of this function when you input 8 is 11,327

the radius of circle r is 7 inches and the diameter of circle k is 14 inches. what is the relationship between circle r and circle k?

Answers

Answer:

They are the same size.

Step-by-step explanation:

Radius is one half the diameter meaning our diameter is twice as large as our radius. So (diameter)/2 = radius or 2*radius= diameter. So since the radius of circle r is 7 inches, that means its diameter is 14 inches. If the diameter of circle k is 14 inches, that means its radius is 7 inches.

find area of the shaded part ​

Answers

Answer:

25.65634 squares cm

Step-by-step explanation:

The area of the whole circle is

pi x 7 squared

pix49 =153.93804

the degrees of a circle are 360

 60 is 1/6 of 360

so we need to divide the area by 6

153.93804/6 = 25.65634

)The diameter of a cylinder is 7 yards. The height
is 12 yards. What is the volume, in terms of T and
to the nearest cubic yard, of the cylinder?

Answers

Answer: 462 yards ^3

Step-by-step explanation:

The equation for the volume of a cylinder is πr^2h

the diameter is 7 yards and the radius is just half the diameter so the radius is 3.5

the height is 12 yards

so π(3.5)^2(12) = 461.814120078 yards ^3

A combination lock like the one shown has three dials. Each of the dials has numbers ranging from 1 to 8. How many different combinations are possible with the lock?

512 combinations
343 combinations
24 combinations
48 combinations

Answers

Answer:

512.

Step-by-step explanation:

First there is 111, 222  ......   888.

There are 8 of these.

Then there are the number of ways you can arrange numbers when 2 of them are the same

= 8P3/2

= 168

Finally if all numbers are different the number of ways

= 8P3 = 336

Answer is 8 + 168 + 336

= 512.

Which choice is the solution to the inequality below?
9x< 72
O A. x < 63
B. X8
C. x<8
O D. xs2
Will mark brainliest

Answers

hello!

In order to solve this inequality, we should divide both sides by 9:-

[tex]\sf{9x < 72}[/tex]

Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.

[tex]\sf{x < 8}[/tex]

Hence, that's the solution to the inequality.

It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)

(Option C is correct :) )

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

x < 8

solving steps:

9x <  72x < 72/9x < 8

What are two transformation that will produce a figure that is congruent to the original figure?​

Answers

Answer: Translation, reflection, rotation

Step-by-step explanation:

Can I help someone for brainiest?
(MATH ONLY)
answer this question with link to question

Answers

I don’t quite understand where you coming frm with this question. Could you explain a little bit more please?

What is the answer to the image? I am stuck on this.

Answers

Answer:

Step-by-step explanation:

x+2x+x+10=90,

4x=80

x=20

Answer:

A

Step-by-step explanation:

it is a 90 degree angle so you have to figure out what something plus 10 equals and then multiply the x by 2 so basically it's a solve and answer or redo it until you get 90° for your total

please help me do this question in the screenshot. I will give you stars for it!​

Answers

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{10}{12}\times \dfrac{6}{9}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{5}{6}\times \dfrac{2}{3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{10}{18}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{5}{9}[/tex]

Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.
What’s the minimum number of people you have to ask?

One person

Two people

Three people

Four people
Clear
Which people do you ask?

Anne

Bob

Charlie

Daniel

Answers

Two people, Anne and Charlie.

Statistics

Given that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:

Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.

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Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

By using the Pythagorean Theorem, we will see that the length of the missing side is 4 units.

How to find the length of the third side?

We need to remember the Pythagorean Theorem, the sum of the squares of the cathetus is equal to the square of the hypotenuse.

In this case, the cathetus are x and 3, and the hypotenuse is 5, then we have:

x^2 + 3^2 = 5^2

x^2 = 25 - 9 = 16

x = √16 = 4

So the length of the missing side is 4 units.

If you want to learn more about right triangles, you can read:

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41 divided by 4592 ??

Answers

Answer:

0.00892857....

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conversions). Don’t forget to show your work.

Answers

Answer: 722.5792 square centimeters

Work Shown:

[tex]112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\[/tex]

Notes:

1 inch = 2.54 cm exactlyThe conversion factor [tex]\frac{2.54 \text{ cm}}{1 \text{ in}}[/tex] is used to convert from inches to cm. The inches unit in the denominator cancels with one of the inches unit from the original 112 square inches figure.We use two identical copies of the same conversion factor to convert from square inches to square centimeters. This is the "multple conversion" your teacher is referring to.Think of "square inches", aka [tex]\text{in}^2[/tex], as "inches times inches". Or think of a 1 inch by 1 inch square that has an area of 1 square inch. The same applies for the square centimeter unit as well.

Chase bought a pair of athletic shoes on sale for $38.85. The original price was $57.79. How much money did he save buying them on sale?

A.
$18.94

B.
$19.94

C.
$29.94

D.
$96.94

Answers

Answer:

A. 18.94

Step-by-step explanation:

57.79 (Original Price) - 38.85 (Sale Price) = 18.94 (Difference)

I need help with this problem

Answers

Answer:

Part A: 4           Part B: every day the amount of people that know are multiplied by 4.

Step-by-step explanation:

can somebody explain how to do this

Answers

Answer:

The area of figure = 260 cm²

Step-by-step explanation:

Area of figure = area of rectangle+ area of triangle

=> l×b + 1/2 ×b×h

=> 10×20 + 1/2 × 20 × 6

=> 200 + 60

=> 260 cm²

Answer:

260 cm²

Step-by-step explanation:

Area of the rectangle
= l × w
= 20 × 10
= 200 cm²

Area of the triangle
= ½bh
= ½ × 20 × 6
= ½ × 120
= 60 cm²

Area of the total figure
= Area of the rectangle + Area of the triangle
= 200 cm² + 60 cm²
= 260 cm²

________
Hope it helps ⚜

Help

If my final answer to a question is 207 cubic feet (or 207 feet cubed), what am I measuring?
Height
Length
Area
Volume

Answers

Answer:

you would be measuring the volume

Step-by-step explanation:

because of the cubic feet keyword.

plus the question states that there is no height , length.

Given the function, f(x)= VX+2-3, choose the correct transformation.
left 2, down 3
O left 2, up 3
O right 2, down 3
O right 2, up 3

Answers

It’s left 2 up 3
Thanks buddy thanks again

What are 5 applications of Geometry in real life?

Answers

Answer:

•construction of buildings

•Interior designs

•Art

•Measuring of orbits and planetary •motions Interior designs

please help :) thank u

Answers

Answer:

Already answered

Step-by-step explanation:

go to this

https://brainly.com/question/11412750

There is an answer by a tutor there better than me telling you

The measure of angle 'y' which is a corresponding angle is 62°

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the midsegment of a triangle is parallel to one side of a triangle.

And parallel lines form similar corresponding angles.

Therefore, From the given figure the midsegment 'z' forms similar corresponding angles to x and y which are, 31° and 62°.

learn more about midsegments of triangles here :

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A coin jar contains 12 quarters, 15 dimes, and 23 nickels. Find the probability that a Karen will choose a dime from the jar and then Mikah will choose a quarter from the jar.

Answers

Answer:

D = .30 Q = 0.24

Step-by-step explanation:

12 + 15 + 23 = 35 + 15 = 50

15/50 = 3/10

12/50 = 6/25

ok well

6/25 = 0.24

3/10 = .30

What two factors add to -9 and multiply to 18

Answers

Answer:

3 × 6 = 18 3 + 6 = 9

Step-by-step explanation:

3 × 6 = 18 3 + 6 = 9


Linda deposited $200 in an account earning 5% interest compounded annually.
To the nearest cent, how much will she have in 2 years?

Answers

Rounding to the nearest cent, Linda will have $220.50 in 2 years after  1 year, the amount Linda.

what is amount ?

The word "amount" in mathematics refers to something's quantity or value in general. Depending on the context, it may refer to a wide range of concepts. "Amount" can, among other things, refer to the total value of a group of numbers, the total price of an acquisition, the total number of items in a collection, or the total amount of money in an account. The word "amount" is frequently used in financial situations to refer particularly to a sum of money, either as a total value or as a specific payment or transaction.

given

After 1 year, the amount Linda will have is:

200 * 1.05 = $210

After 2 years, the amount Linda will have is:

210 * 1.05 = $220.50

Rounding to the nearest cent, Linda will have $220.50 in 2 years after  1 year, the amount Linda.

To know more about amount visit :-

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