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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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Choose the correct simplification of f^9 h^23/f^3 h^17
Tanzania [10]

Answer:

f6h40

Step-by-step explanation:

Step  1  :

           h23

Simplify   ———

           f3  

Equation at the end of step  1  :

         h23

 ((f9) • ———) • h17

         f3  

Step  2  :

Multiplying exponential expressions :

2.1    h23 multiplied by h17 = h(23 + 17) = h40

Final result :

 f6h40

4 0
3 years ago
Solve the following equation <br> T/4 +7 =2.
Sindrei [870]

Answer:

T=-20

Step-by-step explanation:

first get rid of the 7

1. T/4=-5

then multiply by 4 to isolate T

2. T=-20

4 0
3 years ago
Read 2 more answers
What is the value of x?<br> Enter your answer in the box.<br> x =
olasank [31]

Answer:

x = 21

Step-by-step explanation:

The sum the the interior angles of a triangle is 180°.

We know that the three angles of the triangle is 100°, x° - 4, and 3x°.

The sum of 100°, x° - 4, and 3x° must equal 180°. We can turn this into the equation:

100 + x - 4 + 3x = 180

(I got rid of the degree signs because they are not necessary when finding x.)

Now, to find the value of x, we would have to solve for x in the equation 100 + x - 4 + 3x = 180.

100 + x - 4 + 3x = 180

Subtract 100 from both sides to get rid of the 100 on the left side.

x - 4 + 3x = 180 - 100

Simplify.

x - 4 + 3x = 80

Add 4 from both sides to get rid of the -4 on the left side.

x + 3x = 80 + 4

Simplify and combine like terms.

4x = 84

Divide 4 from both sides to get rid of the coefficient of 4 on the left side.

x = 84/4

Simply.

x = 21

The value of x would be 21.

x = 21

I hope you find this helpful. :)

7 0
3 years ago
Casey's mom is the baseball coach for his team. She spent $150 on baseballs. Each baseball cost $5. How many baseballs did she b
harkovskaia [24]

Answer:

nicw

Step-by-step explanation:

150-5=145

7 0
3 years ago
Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after dri
Korvikt [17]

Answer:

The car uses less gas

They use the same amount of gas after \frac{640}{7} miles

Step-by-step explanation:

Given

The table represents the car mileage

y = -\frac{1}{5}x + 31 --- The van

First, calculate the car's slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

From the table, we have:

(x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)

So, we have:

m = \frac{10.5 - 13.5}{180 - 60}

m = \frac{-3}{120}

m = -\frac{1}{40}

Calculate the equation using:

y = -\frac{1}{40}(x - 60)+13.5

y = -\frac{1}{40}x + 1.5+13.5

y = -\frac{1}{40}x + 15

m = -\frac{1}{40} implies that for every mile traveled, the car uses 1/40 gallon of gas

Also:

y = -\frac{1}{5}x + 31 --- The van

By comparison to: y = mx + b

m = -\frac{1}{5}

This implies that for every mile traveled, the van uses 1/5 gallon of gas.

By comparison:

1/40 < 1/5

This means that the car uses less gas

Solving (b): Distance traveled for them to use the same amount of gas.

We have:

y = -\frac{1}{5}x + 31 --- The van

y = -\frac{1}{40}x + 15 --- The car

Equate both

-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15

Collect like terms

\frac{1}{40}x -\frac{1}{5}x  =-31 + 15

\frac{1}{40}x -\frac{1}{5}x  =-16

Take LCM

\frac{x - 8x}{40} = -16

\frac{- 7x}{40} = -16

Solve for -7x

-7x = -640

Solve for x

x = \frac{640}{7}

5 0
3 years ago
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