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In-s [12.5K]
3 years ago
7

a town had about 2120 acres of pine trees 40 years ago. Only about 13% of the pine trees remain. How many acres of pine trees re

main
Mathematics
2 answers:
Alexxx [7]3 years ago
7 0


.13*2120=275.6

x=275.6 acres

DerKrebs [107]3 years ago
6 0
13/100 = x/2120 \\ 100*x = 13*2120 \\ 100x = 27,560  \\ 100x/100 = 27560/100  \\ x = 275.6
275.6 acres of pine trees remain.
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evablogger [386]

Answer:

a) 24

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3 years ago
when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.
sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = a^2

6 is subtracted from the square of a number = a^2 - 6

5 times the number = 5 \times a

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation ax^2 + bx + c = 0 where a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here in this problem,

a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6

Substituting the values in above quadratic formula, we get

\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}

We have two solutions for "a"

\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0
3 years ago
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Paladinen [302]
W=5/13 you just eliminate the negative sign
5 0
3 years ago
Need help i don't understand
BabaBlast [244]

Answer:

Commutative property of multiplication

Step-by-step explanation:

This property states that numbers can be switched around when multiplying and the answer still remains the same

3 0
3 years ago
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What is a common fraction of 45 of 60?
fredd [130]

Answer:

15

Step-by-step explanation:

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