A forest covers 68,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many acres of old-growth trees are there?

Answer:

B

Step-by-step explanation:

1/4+0.5=3/5 3/5=0.75 it is a rational number

the other ones are not rational because they are endless numbers

Answer:

[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

Step-by-step explanation:

Given

Quadratic equation is

[tex]x^2-x-2=3\\x^2-x-5=0[/tex]

Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]

So, for the given equation roots are

[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

Answer:

b=80

c=80

Step-by-step explanation:

the angle opposite to the 100 degree angle is congruent to it

same goes for b and c

so far we have 2 angles that measure 100 degrees 100+100=200

the sum of the 4 angles is 360

360-200=160

160/2=80=b=c

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.

Answer:

1.15

Step-by-step explanation:

when you have a % above 100 you divide that by 100 so it's 115 divided by 100 which is 1.15

Answer:

Step-by-step explanation:

65%  is greater

Answer:

25

Step-by-step explanation:

An average 6th grader weight 80 pounds and 2000/80 is 25

25 six graders might weigh 2000 pounds, considering the average weight of a six grader is 80 pounds.

Average is the mean value of the data. It is a measure of central tendency.

Given the following information:

A ton might weigh 2000 pounds.

We need to find the total number of six graders require to collectively weigh 2000 pounds.

Let the total number of six graders require = x

Consider the average weight of a six grader is 80 pounds.

Total weight=  average weight of a six grader x  total number of six graders x

Total weight=  80x

2000=80x

To calculate the value of x, divide 80 both the sides.

2000/80=80x/80

25=x

x=25

Thus, 25 six graders might weigh 2000 pounds.

Learn more about average, here:

https://brainly.com/question/32511583

#SPJ6

Answer:

Options :

A.

C.

D.

Step-by-step explanation:

1200m + 500 = 10700

Answer:

(-3, -6)

Step-by-step explanation:

y=2x

-3x-15=y

Use Substitution Method

-3x-15=2x

+3x      +3x

-15=5x

/5   /5

-3=x

y=2x

y=2(-3)

y=-6

Answer:

(-3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x

-3x - 15 = y

Step 2: Solve for x

Step 3: Solve for y

x [tex]\geq[/tex] 433

explanation:

let m equal miles

0.30m + 69.99 = 200

           -69.99     -69.99

0.30m = 130. 01

130.01 / 0.30 = 433. 36...

but we're gonna round it to 433

so 433 miles

Answer:

The slope is [tex] \frac{3}{8} [/tex].

Step-by-step explanation:

Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Just plug in.

[tex]m = \frac{ - 7 - ( - 10)}{0 - ( - 8)} = \frac{3}{8} [/tex]

Answer:

the values of x and y, based on the figure on the right is of b

x=76°,y=48°

Answer:

9.37 divide by two = 4.685

4.685 in 2DP = 4.68

Step-by-step explanation:

i hoped this helps.

Answer:

2.98 :)

Step-by-step explanation:

the circumference is when you do pi times diameter.

do 9.37 divided by 3.14(pi) to work out the diameter.

9.37/3.14=2.984

rounded its 2.98

Answer:

-3/2

Step-by-step explanation:

Count up three times and to the left twice. Let me know if you need help with other questions!

Answer:

1?

Step-by-step explanation:

11/12 closest to

Answer:

The answer is 59.5

Answer:

17. $30

18. $2.24

19. 5

20. $2.2815 or rounded to $2.28

I think I’m right

Answer:

17. 30

18. 14

19. 5 hours

20. 15

Step-by-step explanation:

Answer:

47.1 inches

Step-by-step explanation:

circumference is pi times diameter

3.14 times 15 is 47.1

Answer:

Step-by-step explanation:

47.1

Answer:

Angle B = 131 degrees

Step-by-step explanation:

We know that since there's an angle labeled 139 degrees and a straight line is 180 degrees in total, the other angle is equal to 180 - 139 = 41 degrees.

Since all triangles have 3 angles that add up to 180 degrees and we know that theres a right angle, a 41 degree angle, then angle A must equal to 180 - 41 - 90 = 49 degrees.

We know that vertical angles are congruent, therefore angle C is also equal to 49 degrees.

Angle B and angle A form a straight line, which we have defined as 180 degrees.

180 - 49 = 131 degrees.

Angle B = 131 degrees

Answer:

Step-by-step explanation:

Answer:

No, the rate is not proportional.

Step-by-step explanation:

If there are 45 marbles in 9 bags, we can assume that there are 5 marbles in each bag.

Going by that rate, we can do 5 * 36 = 180, NOT 150.

Thus, the rate is not proportional.

Another way to solve would be to do 45/9 and 150/36. If the rate is proportional, the answer for both should be the same.

However, 45/9=5 and 150/36=4.16666666667.

Those two answers are NOT equal.

Thus, the rate is not proportional.

Answer:

The answer is

[tex] - 9 \frac{1}{4} [/tex]

Answer:

x≤2 or x≥-6

Step-by-step explanation:

Isolate the variables on both equations

3x-4≤2

3x≤6

x≤2

2x+11≥-1

2x≥-12

x≥-6

Answer:

no but try socratic

Step-by-step explanation:

it will help very much;)

Answer: x= 3

Step-by-step explanation:

2x + 5 = 11

2x = 6

x = 3

Answer:

Step-by-step explanation:

-2/3 * 5 1/6 .....step 1.....correct

(-2/3 * 5) + (-2/3 * 1/6).....his error is here...it should be like I have written it, but Calvin is getting his addition and multiplication mixed up

-10/3 + (-1/9) =

-30/9 - 1/9 =

-31/9 =

- 3 4/9

Answer:

Step 1

Step-by-step explanation:

Edge 2020