A forest is decreasing in size by 60 hectares every 3 years. In how many years will the forest have decreased by 140 hectares?

Answer:

0.1

Step-by-step explanation:

chance of pulling out a blue marble can be described as 8 equally probable outcomes (blue marbles) out of 20 equally probable outcomes (all marbles).

Similarly, the chance of pulling out a green marble is 5 out of 20.

In total, we have 8*5 (combinations of blue then green) outcomes out of 20*20 (any two marbles):

8*5 / (20*20) = 40 / 400 = 1/10 = 0.1

Answer:

b > 6, b < -6

Step-by-step explanation:

Hello!

Using absolute value rules:

The compound inequality is as follows: b > 6, b < -6

This makes sense because all values turn positive in the asbolute value. So a number that is negative and less than -6 (say -7), would turn positive to be 7, which is greater than 6.

And any number already greater than 6 will always be greater than 6.

In linear equation, The price at which the quantity demanded equals the quantity supplied is $ 260."  option (b) is answer.

What in mathematics is a linear equation?

a.  The demand for a product is given by p+3q= 315 or, q = (315 - p)/3 and the supply for this product is given by  p-7q = 65 or, q = (p- 65)/7

The price at which the quantity demanded equals the quantity supplied is given by

              315 - p/3 = p - 65/7

         7( 315 - p ) = 3( p - 65 )

        2405 - 7p = 3p - 195

        2405 + 195 = 3p + 7p

           2600 =  10p

            p = 2600/10 = 260

Thus, the required price is $ 260.

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The value of a³b for the value of a=3 and b=-5-2i is -135-54i for the given complex number that defines "Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and 'i' is an imaginary number called “iota”."

Complex numbers are those that are expressed as a+ib, where a and b are real numbers and I is a fictitious number called a "iota." I has the value (√-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im). In the 19th century, the term "complex numbers"—which denotes that they have both real and imaginary components—became widely used. Occasionally, the term "imaginary number" is used to describe a complex number that is not real or, more commonly, a number whose real part is zero (a.k.a "pure imaginary").

Here,

The value of a³b

=3³(-5-2i)

=27(-5-2i)

=-135-54i

For the given complex number that defines "Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and I is an imaginary number called "iota," the value of a³b is -135-54i.

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Answer:

1 week

Step-by-step explanation:

After 1 week

Saving account: $25 + $5 = $30

Checking amount: $50 + $10 = $60

30 x 2 = 60

So it's 1 week

Answer:

Step-by-step explanation:

Answer:

t < 23

Step-by-step explanation:

t - 2 < 21

Step 1 : Add 2 on both sides.

t - 2 + 2 < 21 + 2

t < 23

P = 2L + 2W

P = 72

L = 12W (that's an odd way to put it -- 6x 2x)

P = 2(12W) + 2W

P = 24W + 2W

72 = 26W

W = 2.769

The combined perimeter of

2b (14y - 12)

2c (18y + 4)

2d (14y - 16), is

Add the like terms

The combined perimeter is (46y - 24)

The combined area of

1b (10y^2 - 27y +5)

1c (20y^2 + 11y - 3)

1d (12y^2 -24y), is

Add the like terms

The combined area is (42y^2 - 40y + 2)

Answer:

The area of the given triangle is 10 sq meters

Explanation:

The area of a triangle is given by the formula:

Area = 1/2 base . height

Given that the triangle has base = 10m, and height = 2m

Area = 1/2 * 10 * 2

= 10 square meters

2(x -2) = 50 is also true for the same value of x.

Given,

Part 1:

When a cardboard box is empty, its weight is 0.6 pounds.

It is filled with 15 bags of beans and a 4-pound bag of rice.

The total weight of the box and the contents inside it is 25.6 pounds.

Let the weight of 15 bean bags is 15b. The given scenario can be represented by the equation as follows :

0.6+15b+4=25.6 ....(A)

Taking like terms together,

15b=25.6-0.6-4 ...(1)

15b = 21  ....(2)

Equation (1) or (2) can be the equivalent equation for the equation (A).

Part 2:

Solve the equation:

7.5d = 2.5d, Lin divides each side by 2.5d,

and Elena subtracts 2.5d from each side.

Now, 7.5d/2.5d = 2.5d/2.5d

3 = 1

It is not equal, There is no solution.

a. 7.5d - 2.5d = 2.5d - 2.5d

5d/5 = 0/5

b. What is the solution ?

Solution is d = 0

Part 3:

Given,
The equation 4(x - 2) = 100  is a true equation for a particular value of x.

Explanation: The basic property of the equation is that if you multiply or divide both sides of the equation by the non-zero whole , the equation still holds.

In the Equation : 4 (x - 2) =100 divide by 2 on both sides because 2 is common factor of (4,10)

So, 4(x - 2) =100

1/2 x 4(x-2) = 1/2 x 100

= 2(x-2) = 50

Above all, 2(x -2) = 50 is also true for the same value of x.

Hence, 2(x -2) = 50 is also true for the same value of x.

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Answer:

Step-by-step explanation:

If the mean weight of 3 outfielders on the baseball team is 194 lb and the mean weight of the 6 other players is 229 ​lb, what is the mean weight of the 9

Answers: lol sorry very long answer

part a answer: Yes, because if we substitute the variables, the equation will be 15(6) + 10(21) = 300. Simplifying this will be 90 + 210 = 300. And since 90 + 210 does equal 300, 21 students and 6 adults can go to the zoo

part b answer: 24 students. Using the equation 15x + 10y = 300, we can find out the maximum number of students who can go to the zoo. First we can substitute x for 4 because that's how many adults who need the tickets. The equation will now be 15(4) + 10y = 300. Simplifying this will be 60 + 10y = 300. Now we can subtract 60 on both sides to isolate the y term. The equation will be 10y = 240. Divide each side by 10 to find out what y is and we get y = 24. So if 4 adults go the zoo, up to 24 students can go.

part c answer: y = 30 - 1.5x. To solve 15x + 10y =300, we first need to move 15x to one side of the equation. To do this we will subtract it on both sides. The equation is now 10y = 300 -15x. Then you will divide 10 on both sides to find out what y is. y = 30 - 1.5x.

Step-by-step explanation:

y varies INVERSELY as x.

that means

y = k/x

therefore,

22 = k/6

k = 22×6 = 132

and then, when y = 15

15 = 132/x

15x = 132

x = 132/15 = 8.8

Answer:

1:1 or one red circle to one blue circle

There is one red and one blue circle

Step-by-step explanation:

so this is a

You also will not know precisely how many sentences will appear in the random paragraph. But some piano roll artists made a name with pieces that could not possibly be played by an precise individual. Most of his research deal with difficult meters and polyrhythms. Many include distinct voices enjoying the identical line at different tempos, usually in odd ratios. On top of this, most of the traces themselves tend to be highly dissonant and exhausting to actually play. Someday we might come nose to nose with pure house, that could presumably be a nothingness waiting to be filled.

Answer:

x=12

Step-by-step explanation:

(x-6)=6

x=12

Answer: No.

Step-by-step explanation:

    To test this ordered pair, we plug it back into the equation given as (x, y), and then simplify to solve. If we end up with an equal equation, the answer is yes. If not, the answer is no.

y = 1/2x - 3

(1) = 1/2(-8) - 3

1 = -4 - 3

1 ≠ -7

           This ordered pair is not a solution.

The diagonals of a rectangle are congruent, so RT = SU, that is

3x + 8 = 6x - 4 (subtract 4x from both sides)

3x + 8 = 6x - 4

Subtract 8 from both sides 3x + 8 - 8 = 6x - 4 - 8

Simplifying the above equation, we get

3x = 6x-12

Subtract 6x from both sides 3x - 6x = 6x - 12 - 6x

Simplifying the above equation, we get

-3x = -12

Divide both sides by -3

[tex]$\frac{-3 x}{-3}=\frac{-12}{-3}[/tex]

x = 4

Then, R T= 3x + 8 = 3(4) + 8 = 20

The diagonals bisect each other, then

RV = 0.5 × 20 = 10

∠ RVU = ∠ SVT = 54° ( vertical angles)

RV = UV ( diagonals are congruent and bisect each other)

Then Δ RVU is isosceles with base angles congruent, then

∠ VUR =[tex]$\frac{180-48}{2}[/tex] = 66°.

In the rectangle, RV = 3x+8, SV = 6x-4, and ∠ VRS = 54° then the value of x is 4 and ∠ VUR is 66°.

The diagonals of a rectangle are congruent, so RT = SU, that is

3x + 8 = 6x - 4 (subtract 4x from both sides)

3x + 8 = 6x - 4

Subtract 8 from both sides 3x + 8 - 8 = 6x - 4 - 8

Simplifying the above equation, we get

3x = 6x-12

Subtract 6x from both sides 3x - 6x = 6x - 12 - 6x

Simplifying the above equation, we get

-3x = -12

Divide both sides by -3

[tex]$\frac{-3 x}{-3}=\frac{-12}{-3}[/tex]

x = 4

Then, R T= 3x + 8 = 3(4) + 8 = 20

The diagonals bisect each other, then

RV = 0.5 × 20 = 10

∠ RVU = ∠ SVT = 54° ( vertical angles)

RV = UV ( diagonals are congruent and bisect each other)

Then Δ RVU is isosceles with base angles congruent, then

∠ VUR =[tex]$\frac{180-48}{2}[/tex] = 66°.

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The probability that he gets 5, 3, and 2 in this order is 0.92, 0.52, and 0.32 respectively.

The possibility of rolling a 6 with these dice is 0.4, according to the question. The possibility of rolling a 1 through 5 on the dice is also the probability of not obtaining a 6.

a) Chance of receiving 5:

P(6) + Q(6) = 5

Q(6) = 5 - P(6)

Q(6) = 5 - 0.4

Q(6) = 4.6

The probability of obtaining 5 to 5 is 4.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 4.6

The first five numbers have an equally likely probability.

P(1) = 4.6 ÷ 5

P(1) = 0.92

b) Probability of getting 3:

P(6) + Q(6) = 3

Q(6) = 3 - P(6)

Q(6) = 3 - 0.4

Q(6) = 2.6

The probability of obtaining 3 to 5 is 2.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 2.6

The first five numbers have an equally likely probability.

P(1) = 2.6 ÷ 5

P(1) = 0.52

c) Probability of getting 2:

P(6) + Q(6) = 2

Q(6) = 2 - P(6)

Q(6) = 2 - 0.4

Q(6) = 1.6

The probability of obtaining 2 to 5 is 1.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 1.6

The first five numbers have an equally likely probability.

P(1) = 1.6 ÷ 5

P(1) = 0.32

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20 shares purchased at $30, means that the initial inversion is 20 times 30 = $600

they are sold for $710, so the difference is 710 - 600 = 110

the commision is 6, so the final gain is 110 -6 =104

profit divided by the inversion:

104/600 = 0.1733

the answer is 17.33 %

Explanation

Step 1

Let

c represent the original price

if the boutiques quadruples the price of the items it purchases for resale.​then

400 percent

Step 2

expressions

4c and 400%c

I hope this helps you

The sequence that shows the numbers in order from least to greatest is A. |-8.23| < 8 1/5 < 8.3

It's important to note that arranging numbers from the least to the greatest simply means ascending order.

In this case, it's vital to note that the negative value is the smallest. Then 8 1/5 is 8.2. This conea after. The greatest number is 8.3 since it's the biggest.

In conclusion, the correct option is A.

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Answer:1/4

Step-by-step explanation:

1° and 14° are acute angles.  

An acute angle is one that is less than 90°, or one that is between 0° and 90°.  

The opposite of an acute angle is an obtuse angle. In other terms, an obtuse angle is one that is larger than 90° and less than 180°. It is the angle that is between 90° and 180°.

90° is the standard for a right angle. Any angle that is less than 90° is called acute, and any angle that is larger than 90° is called obtuse.

∠1 and ∠14 are less than 90° therefore, they are acute angles.

Correct question :

What type of angle are 1° and 14°?

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Answer: If you want the result as a fraction it should be 3.7/5. but if you want a whole number it's 4.2. if you want a mixed number its 4 1/5

Step-by-step explanation: