In 2020, Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres. Researchers expect deforestation to cause the area of Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade. In what year do they expect the areas of the forests to be the same?

Answers

Answer 1

Answer:

In about 2073, 3440 acres

Step-by-step explanation:

Determine the equation for each forest.                                                      Forest A: y=-105x+4000                                                                         Forest B: y=-30x+3600There are a number of ways to solve a system of equations, but for this we are first going to solve for x when -105x+4000=-30x+3600. In this case, x=5 1/3.Then, we are going to plug 5 1/3 in as x into one of our equations. To double check you have this right, you may do both. If our equation is y=-30(5 1/3)+3600, then y=3440.Add 5 1/3 decades or about 53 years to 2020.

Therefore, they expect the area of the forests to be the same in about 2073. At this time, both will have an area of about 3440 acres.

Answer 2

In 2073  the areas of the forests to be the same.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres.

If Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade.

let the number of decades occur be x

So, the equation is

4000 - 105x= 3600 - 30x

400 = 75 x

x= 5.33

x= 53.3 years

Hence, In 2073  the areas of the forests to be the same.

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Related Questions

13/19% of a quantity is equal to what of the quantity.
Simplify Your Answer

Answers

Answer:

13/1900

Step-by-step explanation:

Answer = 68.4210526316 or 1300/19 of a quantity.

13/19 as a decimal is approx 0.684. (0.684210526316)Therefore, if you are asked 13/19 of x, just multiply 13/19 by x.

0.684210526316* 100 = 68.4210526316 so if your asked to fine 13/19% of a quantity, since % means to multiply by hundred, the answer is 68.4210526316. (It doesn’t seem like you were asked to round up).

What is an equation of the line that passes through the points (2,-5) and (-8,5)

Answers

Answer:

y= -x-3

Step-by-step explanation:


Use formula y=mx+b
First Find slope
M= (5-5)/(-8-2)
M= 0/-10
Fraction cannot be zero so there is no slope
Y=+5

A pitcher full of water weighs 8.34 pounds. Lisa will carry 5 pitchers on a cart and deliver them to tables. About how much would 5 pitchers of water weigh?

Answers

Answer: Choice B)  44,243.7 pounds

==========================================================

Work Shown:

1 gallon = 8.34 pounds

5305*(1 gallon) = 5305*(8.34 pounds)

5305 gallons = 44,243.7 pounds

Note: the information about the 15-foot diameter is not used at all.

41.7 pounds is your answer

Please help me im desperate

Answers

Rocket A began at 40 meters and was 5 meter higher than Rocket B after 35 seconds
Rocket A was 20m higher initially.
Rocket B was higher by 20m at 35s.
The slope is h = 16/7t + 20

Free Brainliest!! :D


58 x 4/8

Answers

Answer: 29

Step-by-step explanation:

[tex]58*\frac{4}{8} =\frac{58*4}{8} =\frac{232}{8} =29[/tex]

[tex]\boldsymbol{\sf{58*\dfrac{4}{8} }}[/tex]

We reduce the fraction 4/8 to its lowest expression by extracting and canceling 4.

[tex]\boldsymbol{\sf{\dfrac{4}{8}=\dfrac{4\div4}{8\div2}=\dfrac{1}{2} }}[/tex]

           [tex]\boldsymbol{\sf{58\times\left(\dfrac{1}{2}\right) }}[/tex]

Multiply 58 and 1/2, so 58/2.

                   [tex]\boldsymbol{\sf{\dfrac{58}{2}= }}\boxed{\bf{29}}[/tex]

Alexander is a stockbroker. He earns 11​% commission each week. Last​ week, he sold ​$5,300 worth of stocks. How much did he make last week in​ commission? If he averages that same amount each​ week, how much did he make in commission in​ 2011?

Answers

He made $583 last week in commission
$583 X 52= $30,316 for the whole year

Step-by-step explanation:

He made 5,300÷100.11=$583 last week in commission

$583 X 52= $30,316 in​ 2011

Please do this it confuses me

Answers

Answer:

Slope: -1 (it is going down by -1)

y-intercept: -6 (-6 is where it crosses 0)

Equation: y=-1x-6 (use formula y=mx+b)

The slope is -1 and the y intercept is -6

how many triangles can be constructed with the side lengths of 5 inches, 8 inches, and 20 inches

Answers

Answer:

No triangles

Step-by-step explanation:

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

5+8 > 20 <-- is not true.

The answer is that no triangles can be made

The mass of Earth is about 5.97 x 1024 kilograms and the mass of Pluto is about 1.3 x 1022 kilograms.

Answers

Answer:

Step-by-step explanation:

true

Mass of Earth = =5.97×10
24
Kg
Mass of the moon =7.35×10
22
Kg
Difference of their masses in Kg =5.97×10
24
−7.35×10
22

=(5.97×10
2
−7.35)10
22

=(597−7.35)×10
22

=589.65×10
22

=589.65×10
24

=5.89×10
24

5. About 0.36 of the students at a middle school are seventh graders.

a. What fraction of the students at the middle school are not seventh graders?

b.There are equal numbers of sixth and eighth graders at the middle school. What percent of the students at the middle school are sixth graders?

Answers

Answer: 18 sixth graders

Step-by-step explanation:

Let

x-----> the number of sixth graders in the band

y-----> the number of seventh graders in the band

we know that

-----> equation A

------> isolate the variable y

-----> equation B

Substitute equation B in equation A

x+ (1.5x) = 45

2.5x=45

x=45/25= 18 sixth graders

Answer: A. 9/14 B. 8/25.

Step-by-step explanation: 9/14=0.642857143 and 8/25=0.32 it is 0.32 because that is 0.64 cut in half.

Help me out please :')

Answers

Answer:

-2, 0.4, -9

Step-by-step explanation:

hopes this helps please mark brainliest

The answer is -2, 0.4, -9

There are some different ways to represent pi as an approximate such as 3.14 and 22/7. Describe a situation where you might use 22/7. PLS HELP...I WILL GIVE BRAINLIEST ANSWER FOR THE BEST AND QUICKEST ANSWER!!

Answers

Answer: WITH another fraction like this 22/7 + 23/7

Step-by-step explanation:

Buddy the Elf has already eaten spaghetti with syrup that was 1300 calories. If he eats candy canes that are 80 calories each, write an equation to represent the total calories (y) after eating x candy canes.

Answers

Answer: y=80x+1300

Step-by-step explanation:

You are trying to find y, so the equation starts off as y=

Since x represents the candy canes, and each one is 80 calories, you woukld have add to your equation: y=80x

Finaklly, you have to take into account the calories already consumed, which is 1300 calories: y=80x+1300

1300 plus x times 80equals y

A new health drink has ​130% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the​ drink?

Answers

Answer: 58.5 milligrams

Step-by-step explanation:

Answer:

58.5 mg

Step-by-step explanation:

Drink: 130% of RDA of vitamin X

RDA vitamin X = 45 mg

130% of 45 = mg in the drink

130% = 130/100 = 1.3

130% of 45 = 1.3 * 45 = 58.5

Thus, this new drink has 58.5 mg of vitamin.

PLSS HELP CUZ I DON'T KNOW HOW TO SOLVE ITTT
During a team building game, participants reach into a bag and randomly select a colored flag, which determines their team. If there are 7 green flags, 5 red flags, and 3 yellow flags, then what is the theoretical probability of selecting a red flag?

Answers

Answer:

1 out of 3 or 1/3.

Step-by-step explanation:

Determine how many total flags there are. In this case, there are 15 total flags.Determine how many of these are red. 5/15 of the flags are red.Simplify 5/15, which is 1/3.

This assignment is due soon! If someone can help me answer this it would be amazing. It is about Transversals of Parallel lines: name angle pairs.

Answers

Answer:

last option

Step-by-step explanation:

l think it's the correct answer

I believe its JKN and JKI.

Supplementary angles add up to 180, so the angles should be side by side to create a straight line with two sides. Hope that makes sense.

A car salesperson earns a monthly salary of $800 per month plus $250 for each car sold. The equation y = 250x + 800 represents the total monthly salary. Graph the equation using the slope and y-intercept.

Answers

Answer:x - the total sales

800 + 0.02 x ≥ 1600

0.02 x ≥ 1600 - 800

0.02 x ≥ 800

x ≥ 800 : 0.02

x ≥ 40,000

The total sales must be at least $40,000.

The graph of the equation using the slope and y-intercept is shown in image.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A car salesperson earns a monthly salary of $800 per month plus $250 for each car sold.

Here, The equation y = 250x + 800 represents the total monthly salary.

Hence, Slope is,

⇒ m = 250

And, Y - intercept = 800

Thus, The graph of the equation using the slope and y-intercept is shown in image.

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Each day, Maria walks from home to school and then from school to home. The graphs that follow show the distance that
Maria is from home at different times during the walk.

Match the graphs to the descriptions of Maria’s walk shown to the right of the graphs. Next to each graph, enter the letter (A,B,C,D) of the description that best matches the graph.

Answers

1. C) Maria walks from school to home at a constant rate
2. A) Maria walks from home to school at a constant rate
3. B) Maria starts to walk from home to school. She stops see whether she has her homework. She realizes she forgot her homework and runs back home to get it
4. D) Maria walks from school to her friends house. She visits her friends for a while. Then she walks the rest of the way home
1.c
2.a
3.b
4.d
The graph are 1-4 and the sentences are a-d.

Somebody Answer please I don't understand?

Answers

Answer:

The answer is B, 38.75

Step-by-step explanation:

The mean, you add up all the numbers and divided it by how much numbers are there.

1) 20 + 22 + 25 + 31 + 33 + 34 + 41 + 41 + 45 + 50 + 56 + 67 = 465

2) Count. How many numbers are there? There are 12 numbers.

3) 465/12 is 38.75

The answer is B, 38.75

Hope this helps :)

The answer is B I’m pretty sure

Express 3.49 x 10−2 in standard form.

Answers

Answer:0.0349

Step-by-step explanation:

You are going to move the decimal point 2 times to the right because the exponent is negative so we are going back.

the answer to your question is 0.000003499

You can also subtract decimals by writing the problem vertically, lining up the decimal points to keep track of place values. The problem to the right is partially completed. Explain the regrouping shown.

Answers

Answer:

Step-by-step explanation:When adding or subtracting decimals, it is essential that you pay attention to the place value of the digits in the numbers you are adding or subtracting.

Can y’all help? Image provided

Answers

Answer:

Welll, of you know the # of the servings, then u can divide it into 5 parts. just ge the # of servings ÷ 5

I feel like I'm trying to hard on this one but here we go, On a number line what is the distance between 2/5 and 5/6?

Answers

Answer:

The answer is [tex]\frac{13}{30}[/tex].

Step-by-step explanation:

Solve by completing fraction division.

Thus, solve [tex]\frac{5}{6} - \frac{2}{5}[/tex], since [tex]\frac{5}{6}[/tex] is larger than [tex]\frac{2}{5}[/tex].

[tex]\frac{5}{6} - \frac{2}{5}[/tex]

[tex]= \frac{25}{30} - \frac{12}{30}[/tex]

[tex]= \frac{13}{30}[/tex]

Hence, the answer is [tex]\frac{13}{30}[/tex].

Answer:

yeh it is 13/30

Step-by-step explanation:

other guy was right

How many sides do 4 hexagons and 1 heptagon have in all?

Answers

4 hexagons has 24 sides and 1 has 6, so if all together 30 sides

Answer:

31

Step-by-step explanation:

1 hexagon is 6 sides multiply that by 4 it equals 24 then 1 heptagon has 7 sides and whats 24 + 7? 31!

A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $1.75 per slice of pizza. Christopher purchased a membership to this pizza shop. How much would Christopher have to pay the pizza shop if he bought 19 slices of pizza this month? What would be the monthly cost for
x
x slices of pizza?

Answers

Answer:

The monthly cost for x slices of pizza is y=7x-5.5

Step-by-step explanation:

Consider the provided information.

The membership costs $5 per month and members get a discounted price of $1.50 per slice of pizza.

Let the cost of pizza is x and y represents the monthly cost.

Evan purchased 7 slices of pizza and membership cost $5 also the discounted price is $1.50 per slice of pizza.

Hence, the monthly cost for x slices of pizza is y=7x-5.5.

Answer:

$93.25

Step-by-step explanation:

1. 5x19=?

2. ?-1.75=
tip:use calculator if can not figure out step one

Landry took a survey of all the sixth-grade students at Irvine Park Middle School and discovered that 35% of sixth-graders play sports.
What fraction of sixth-graders play sports?

Answers

Answer:

7/20

Step-by-step explanation:

35% of 100% is 7/20

What the person said above me

I need help today!
please and thank you

Answers

Answer:

$6.88 B.

Step-by-step explanation:

The answer is $6.88. (Here's why )

Sales tax rate = 7.4 %

price of shoes = $ 93

Tax paid for a pair of shoes = 7.4 % x $ 93

=7.4/100 x 93

= 0.074 x 93

= 6.882

= $6.88

" I hope I helped you : - ) "

6.88 would be the answer

A Divided Dinner
Kenny is providing dinner to 12 families who need food. Each family is the same
size. The families chose the food items that they would like to receive. The table
below shows each food item, the amount of each food item that he has to share,
and the number of families that requested each food item.
Food Item
Number
of Pounds
Available
Number of
Families
Receiving Item
chicken 113.4 9
rolls 6.6 12
mashed potatoes 28.5 10
corn 18.92 11
green bean casserole 5.37 3
Kenny is unsure of how much to give each family. Can you help him divide up
dinner for the families in need?
Part 1
Directions: Fill in the chart to estimate the amount of each type of food that each
family wil receive. Use compatible numbers to help you estimate.
Food Item
Rounded
Number
of Pounds
Available
Rounded
Number of
Families
Receiving
Item
Division
expression
Estimated
Amount
Each
Family
Receives
chicken ___ ___
rolls ___÷ ___
mashed potatoes ___÷ ___
corn ___÷ ___
green bean casserole ___÷ ___
Part 2
Directions: Fill in the chart with the total amount, in pounds, of each food
item each family will receive

Answers

Answer:

Filling the chart to estimate the amount of each type of food that each family will receive is as follows:

Rounded Food Items and Families:

Food Item Number of Pounds Number of Families Estimated

Rounded Receiving Item Receiving

Chicken rolls 113 10 11.3

Mashed potatoes 7 12 0.6

Corn 28 10 2.8

Green bean 19 11 1.7

Casserole 5 3 1.7

What is an estimate?

An estimate is a rough calculation based on available information or rounded-off data.

Estimates are made to enable quick decisions without knowing complete details.

For this estimate, we used the division operation to obtain the quotients that should be the share of receiving families from each food category.

Original Data:

Food Item Number of Pounds Number of Families

Available Receiving Item

Chicken rolls 113.4 9

Mashed potatoes 6.6 12

Corn 28.5 10

Green bean 18.92 11

Casserole 5.37 3

Thus, as much as possible, some pounds of food items have been rounded to enable the estimate to be produced.

The Complete Table for Rounded Food Items and Families is shown below

What is an estimate?

An estimate is a rough computation made using information that is currently known or data that has been rounded off.

Estimates are created to help in decision-making quickly without having all the information.

So, In order to determine the quotients that represent the share of receiving households from each food group for this estimate, we employed the division procedure.

Original Data:

Food Item             Number of Pounds     Number of Families

                                    Available                   Receiving Item

Chicken rolls                    113.4                              9

Mashed potatoes               6.6                             12

Corn                                  28.5                             10

Green bean                       18.92                           11

Casserole                           5.37                            3

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8 to 10 please e e e e thanks

Answers

Answer:

8) 24 meters

9) 50.75 feet

10) 166 meters

Step-by-step explanation:

8) the perimeter is the sum of all sides of your shape. The shape is a rectangle, so you know 2 sides are the same length, 16.3 meters, and the other two sides are the size of the width, that is asked for.
so the perimeter = 2*length + 2*width which gives you the equation
80.6 = 2*16.3 + 2*x
then you solve it this way:
80.6 = 32.6 + 2x  | substract 32.6 on both sides
48 = 2x | divide by 2 on both sides
24 = x
so you know the width is 24 meters

9) again, the perimeter is the sum of all 3 sides of your triangle.
2 sides are each 36 and 3 quarters feet long.
so the equation is perimeter = 2*36 3/4 + unknown side, giving you the equation
124 1/4 = 2 * (36 3/4) + x
124.25 = 73.5 + x | substract 73.5 on both sides
50.75 = x
so the third side is 50.75 feet (or in other writing 50 and 3/4 feet)

10) so on the image you see that the park is a triangle. you are given the area and one side (along Second Ave) and you need to figure out the length of the side along Front Street. When you "double" the triangle, you get a rectangle.
The area of the imagined rectangle is 2 times the area of the triangle (the park), so the area of our rectangle is 13778.
The area of a rectangle is calculated width * length.
This gives you the equation
13778 = 83 * x | divide both sides by 83
166 = x
So the length of the park along Front Street is 166 meters.

Pls rearrange this 2g=c and the subject is g

Answers

Answer:

g=1/2C

Step-by-step explanation:

2g=c

[divide 2g and c by 2]

g=(1/2)C

2g=c
1/2(2g)=1/2c
g=1/2c
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