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

A circle has a diameter of length 11 cm. What is the length of the radius?

Answers

5.5 is the radius of the circle

5.5

Step-by-step explanation:

radius = diameter÷2

diameter = 11

so Length of Radius will be 11÷2

which will be 5.5

If the probability that the Islanders will beat the Rangers in a game is 85%, what is the probability that the Islanders will win exactly three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.

.138


.037


.158


.232

Answers

The probability that the Islanders will win exactly three out of five games in a series against the Rangers is mathematically given as

P(x=3)=0.26367

What is the probability that the Islanders will win exactly three out of five games in a series against the Rangers?

Generally, the equation for the probability is mathematically given as

P(x=3)=nC3 (P)^r (q)^{n-r}

Therefore

P(x=3)=5C3 (0.75)^3 (0.25)^{5-3}

P(x=3)=10 (0.75)^3 (0.25)^{5-3}

P(x=3)=0.26367

In conclusion, The probability of the islander

P(x=3)=0.26367

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Six more than the product of 24 and Carlos's savings ​

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Answer:

24c + 6

Hope This Helps! :) Please Give brainliest if This does help you!

WHAT S THE LENGTH
OF THE MISSING SIDE?
3

Answers

Answer:

4

Step-by-step explanation:

using Pythagorean theorem

a^2+b^2=c^2

you have C so you can flip it around

c^2-b^2 will give you a^2

Answer:

the answer is 4

Step-by-step explanation:

b²=5²-3²

b²=16

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Answer number 11 please. Thank you.

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A po 232.5n mm²

Step-by-step explanation:

#carryonlearning

Find the volume in the cube of centimeters of rectangle prisms - PLSS HELPP AND HURRY PLS

Answers

Answer:

120

Step-by-step explanation:

V = lwh

l= 6

h= 4

w= 5

v= 5.4.6

= 120


What is the exponent of y after you have simplified the foollowing problem?
Blank 1:
Review Answers

Answers

Answer:

y (I think you enter just 6 in your problem)

64x¹⁸y⁶ (Simplified)

In the Simplified problem above y has an exponent of 6.

How much should you invest in an account that pays 6% annual interest compounded continuously if you want exactly $8000 after four years?

Answers

Answer:

$6239

Step-by-step explanation:

A(t) = P•e^rt

Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.

8, 000 = P•e^0.06•4

8, 000 = P•e^0.24

8, 000 = P•1.27

P = 6, 293

how many periods of the function y=tan x are there between -3pi/4 and 5pi/4? need help ASAP

Answers

Answer:

2

Step-by-step explanation:

Using the graph of tanx attached, we know that each period starts and restarts after each π. I've contrasted the periods of the functions in blue versus what we have between the two points in green.

From -3π/4 to 5π/4, we have.....

1/4 of a period

1 full period

3/4 of a period

1/4 + 1 + 3/4 = 2 periods

I hope this helps!

Solve this inequality
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Answers

the answer to this problem would be x>-23/15

Convert: 2589 millimeters = ______ kilometers

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B. 2,589,000 km

C. 0.002589 km

D. 0.2589km

Answers

Answer:

C. 0.002589 km

Step-by-step explanation:

2589/1,000,000

=0.002589

Please help!! Need an explanation by tomorrow and I am super confused!

Answers

Answer:

x = 35

y = 7

Step-by-step explanation:

See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so

C + 45 + 30 = 180

C + 75 = 180

C = 105°

This is angle DCB.

Now all the angles are marked. We can set up equations to find x and y. see image.

There are two parts to this question.
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Answers

AB = BD is given. Therefore,

7x + 10 = 9x-2

10 + 2 = 9x - 7x

12 = 2x

x = 2

Now, Put the value of x in value of AB

AB = 7x + 10

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AB = 14 + 10

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which angles are congruent in the isosceles triangle

Answers

Answer:

angle CAB and angle BCA

Step-by-step explanation:

Hope this helps! Have a great day!!

Match the vocabulary word with the correct definition.

Answers

Answer:

A. Variable

B.  Unit Rate

C. Inverse Operations

D.System of linear equations

» Which sentence about measuring angles is true? An angle that turns through 10 360 of a circle has a measure of 10°. An angle that turns through 1 of a circle has a measure of 1°. 12 An angle that turns through 10 360 of a circle has a measure of 36°. 1) An angle that turns through 1 of a circle has a measure of 12°.​

Answers

The correct answer would be: An angle that turns through 10/360 of a circle has a measure of 10°

the correct answer would be an angle

B) Calculate the hourly rate Company A pays its employees.

Answers

Answer:

200

Step-by-step explanation:

8. What is m<1
77
1
56
A 103°
| C 133°
C °
D 124°
B 47°

Answers

Answer:

Option C

Step-by-step explanation:

Exteriore angle property: Exterior angle equals the sum of opposite interior angles.

∠I = 77° + 56°

    = 133°

What is the equation of the line that is perpendicular two and has the same y-intercept as the line with (0,1) and (5,0)

Answers

Answer:

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Step-by-step explanation:

u know


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Answers


2|93|??|8Multiple choiceA. X=2,y=6B.x=3,y=9C.x=1,y=7D.x=4,y=8

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She will run 6 miles to raise $30.

Serena does 10 minutes of endurance exercises. she plans on doing it for s minutes of doing strength exercises. complete the two equations using t, the total number of minutes serena will spend exercising.

Answers

The equation that represents the time spent on the exercise by Serena will be t = 10 + s

How to compute the equation?

From the information given, it was stated that Serena does 10 minutes of endurance exercises. and that she plans on doing s minutes of strength exercises.

Therefore, the equation that represents the time spent on the exercise will be t = 10 + s

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Consider the system of equations.
y = 4x + 2
y=-2x + 6
Part A
Graph the equations. Estimate the solution of the system of equations.
Estimated solution:
Part B
Solve the system algebraically,
Show your work
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this is the graph for y =4x+2

A square piece of glass has sides that are 7 centimeters long. What is the piece of glass's area?

Answers

49cm^2

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= 7 x 7

=49

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Kyle designs and conducts a computer simulation with 25 trials and uses the data to create the relative frequency bar graph shown. The graph shows the relative frequency of number rolls needed of a number cube in order to roll all of the odd numbers. According to the results of the simulation, what is the experimental probability that 6 or fewer rolls are needed to roll all of the odd numbers? Express your answer as a percent. ​

Answers

Answer:

thirty-six, thirty six, 36%, thirty-six percent, thirty six percent, or 36 percent

Please help me with this one! Its due today. Thank you ^^

I need answers with explanations for each one.

Answers

Step-by-step explanation:

the sum of all angles around a single point on one side of a line is always 180° (a line can always be seen as the diameter of an imaginary circle, so each side corresponds to 180°).

the angles on one side of a line crossed by a second line are mirrored but otherwise exactly the same as on the other side of the line.

a parallel line crossing a third line must have the exact same angles with this third line as the other parallel line. otherwise they would not be parallel. you can say a parallel line mimics the exact same behavior as the other line it is parallel to.

so,

c = 180 - 35 = 145°

a = c = 145°

b = 35°

d = 180 - 110 = 70°

e = d = 70°

f = 110°

g = 180 - 125 = 55°

i = g = 55°

h = 125°

j = 180 - 130 = 50°

m = j = 50°

o = k = d = e = 70° (as this line crosses 2 levels)

l = f = 110°

n = 180 - m - o = 180 - 50 - 70 = 60°

s = 180 - 23 = 157°

p = 23°

r = 68°

q = 180 - p - r = 180 - 23 - 68 = 89°

t = 180 - 68 = 112°

v = w = z = 132° (as this line crosses 2 levels)

A = 180 - 132 = 48°

y = x = u = A = 48°

B = 180 - 39 - 47 = 94°

D = B = 94°

C = 39 + 47 = 86°

E = 47°

F = B + 39 = 94 + 39 = 133°

i will marke brainliest. what is If 1=3

2=3

3=5

4=4

5=4

Then, 6=?

Heres a hint think about how many words are in the number when it is in word form

Answers

Answer:

3

Step-by-step explanation:

Count the number of letters

1 = one ⇒ 3 letters2 = two ⇒ 3 letters3 = three ⇒ 5 letters4 = four ⇒ 4 letters5 = five ⇒ 4 letters6 = six ⇒ 3 letters

Change integers to strings and put them

1=one=32=two=33=three=54=four=45=five=36=six=37=seven=5

Hence answer is 3

Solve for x………………………..

Answers

Answer:

85

Step-by-step explanation:

a² + b² = c²

13² + 84² = x²

x = 85

What are the answers for these questions

Answers

Answer:

4 = 151.70

5a=75.85

Step-by-step explanation:

which situation could the expression 1/4 divided by 3 represent

Answers

Story ProblemLily had 3 dollars. Lily decides to buy a can of soda for one quarter of 3 dollars.

But the question is, how much did she spend?

Step-by-step explanation:

To solve this problem, we must first find the value of one quarter, which in decimal, is 0.25Next, find how many quarters are in 3 that can make one quarter.For this situation, all you must do is multiply 3 by 0.25, and you get 0.75, which is 3/4. The equation looks like the one below.

[tex]3 * 0.25(1/4) = 0.75(3/4)[/tex]

With that information, the problem is solved. In this story problem, Lily must pay 0.75 cents for that can of soda.

________________________________________________________

Questions?

Ask me in the comments box.

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