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yaroslaw [1]
3 years ago
11

A forest cover 43,000 acres. A survey finds that 0.2% of the forest is old growth tress. How many acres of old growth trees are

there?
Mathematics
1 answer:
Sveta_85 [38]3 years ago
6 0

Given:

Total forest area = 43,000

Old growth trees forest = 0.2%

To find:

The area of the old growth trees.

Solution:

We have,

Total forest area = 43,000

Old growth trees forest = 0.2%

Area of the old growth trees = 0.2% of 43,000

                                               = \dfrac{0.2}{100}\times 43000

                                               = 86

Therefore, the area of the old growth trees is 86 acres.

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Answer: You can drive, at most, 2.95 miles per day.

x ≤ 2.95

Step-by-step explanation:

In a single day, you can spend at most $90

Then if C represents the cost of renting the car, then we will have the inequality:

C ≤ $90

Now let's find the equation for C.

We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:

C = $25 + x*$22.

We can now replace that in the inequality:

$25 + x*$22 ≤ $90

Now let's isolate the variable x

x*$22 ≤ $90 - $25

x*$22 ≤ $65

x ≤ $65/$22 = 2.95

x ≤ 2.95

You can drive at most, 2.95 miles per day.

To find other inequalities with the same solution we can start with the solution:

x ≤ 2.95

Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)

Let's multiply both sides by $10:

x*$10 ≤ 2.95*$10 = $29.5

x*$10 ≤ $29.5

Now let's add the same number in both sides, for example, $5.

x*$10 + $5 ≤ $29.5 + $5 = $34.5

x*$10 + $5 ≤ $34.5

We could write this problem as:

"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"

You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.

5 0
3 years ago
14 What value of x makes this equation true?<br> 12x - 15 = 6 - 3x<br><br> Plsss help me and hurry
rodikova [14]

Answer:

1.4

Step-by-step explanation:

12x+3x=15+6

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Find the height of a paralleogram, if its area is 84square inches, its base is 12 inches, and its height is respresented by x +
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Hope you are having clear concept on this.

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What is an equivalent fraction for 3:11
Dmitry [639]

Answer:

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Step-by-step explanation:

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djverab [1.8K]

Answer:

2.- 100

Step-by-step explanation 1:

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↑ As we can see, the only common multiple between 4 and 25 that is given to is 100.

Step-by-step explanation 2:

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↑ Another way of knowing the answer is by using a fraction solving method. As we can see, the denominator is once again 100.

Hope it helped,

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