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goldenfox [79]
3 years ago
6

A team of scientist surveying a forest found that there were four oak trees for every 10 pine trees. If they counted 24 more pin

e trees than oak trees in total, How many oak trees were there in the forest
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

There are 16 Oak tree in the forest.

Step-by-step explanation:

Given: There are 4 Oak tree on every 10 pine trees.

           There are total 24 more pine tree than Oak tree.

 Using the ratio of trees to find the number of trees.

Lets assume there are total number of Oak tree be "x".

∴ Total number of Pine trees will be "x+24"

We know the ratio of Oak to Pine tree is 4:10 or \frac{4}{10}

⇒\frac{x}{x+24} = \frac{4}{10}

Multiplying both side by x+24

⇒ x= \frac{4(x+24)}{10}

Using distributive property of multiplication, distributing 4 with x and 24.

⇒ x= \frac{4x+96}{10}

Multiplying both side by 10

⇒ 10x= 4x+96

subtracting both side by 4x

⇒ 6x= 96

dividing both side by 6

⇒x= \frac{96}{6}

∴ x= 16

Hence, There are 16 Oak trees in the forest.

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Step-by-step explanation:

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3 years ago
A tv costs £800 plus VAT at 20% what is the total cost of the tv?
slamgirl [31]

hello friend ☺

Given :

TV cost = 800 £

VAT = 20 %

Amount of VAT

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= 800 × 20 /100

= 160 £

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= original price + VAT

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3 years ago
X+2=-2x+8<br> I am stuck
Irina-Kira [14]

Answer:

the correct answer is x = 2

3 0
3 years ago
Find the product<br>-3(5) I need help​
Daniel [21]

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-15

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() means to multiply

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4 0
3 years ago
Read 2 more answers
The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.
maks197457 [2]

Step-by-step explanation:

The first possibility

2(width) + 2(length) = perimeter

2(3x-3) + 2(length) = 10x+6

6x - 6 + 2(length) = 10x+6

2(length) = 4x + 12

length = 2x + 6

The second possibility.

rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

Simplifying gives:

P=2u+2v.

You are given the width is (3x-3).  Choose this to be u or v but not both.

Perimeter is given a (10x+6).

Let's plug this in:

(10x+6)=2(3x-3)+2v

We are solving for v.

First step: Distribute where you can:

10x+6=6x-6+2v

Now we want to isolate v.

So we will need to subtract (6v-6) on both sides:

 (10x+6)=2v

- (6x -6)

----------------------

4x+12  =2v

The right hand side contains a factor of 2.

The left hand side does too since 4x+12 can be factored as 2(2x+6).

2(2x+6)=2v

This implies v is 2x+6.

Let's check our work.

We have two sides with measurement 2x+6:  (2x+6)+(2x+6)=4x+12

We have two sides with measurement 3x-3:   (3x-3)+(3x-3)=  6x-6

Let's add those sums to find the perimeter:                             10x+6

That is the intended 

3 0
3 years ago
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