A map is drawn to a scale of 1 : 240 000.

(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map. ​

Answer:

200 children

Step-by-step explanation:

so 12% is 24 children

12/24

simplify

1/2

1% is 2 children

multiply 1% by 100 to get 100%, along with 2 for the children

200 children

The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

In first swing = 10 m

In second swing = (9/10)10 m = 9 m

In the second swing = (9/10)9 =81/10

10, 9, 81/10,..

This is the geometric sequence with the first term being 10 and the common ratio being 9/10.

a = 10

r = 9/10

The sum of geometric sequence up to 25th terms:

S = a(1 - rⁿ)/(1 - r)

S = 10(1 - (9/10)²⁵)/(1 - 9/10)

S = 92.82 m

Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

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Answer:

[tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle -5x - 4y = -8[/tex]

Step 2: Solve for x

Answer:

4y-8/ -5

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

S is being divided.

What is the opposite of subtracting 5?

Move 5 to the right side.

It is being divided by 6. What is the inverse of dividing by 6.

Multiply each side by 6.

Hope this helps!! :)

Answer:

- 6/5

Step-by-step explanation:

To find the slope

m = ( y2-y1)/(x2-x1)

   = ( -5-1)/(2- -3)

   = (-5-1)/(2+3)

  - 6/5

Answer:

-6/5 or -1 1/5

Step-by-step explanation:

The formula to find the slope with any 2 points of a line is rise/run, or

(y2-y1)/(x2-x1)

In this case, y2 is -5, y1 is 1, x1 is -3, and x2 is 2.

So, the slope is:

(-5-1)/(2-(-3))

-6/5 which, as a mixed number, is -1 1/5.

You can also graph out the points on a coordinate plane, draw the line between the points, and count the rise/run, but that might take a minute or two, which is not the best if you have a timed test.

Answer:

KL = 17.32

Step-by-step explanation:

KL² = (M L)(J L)

KL² = (15)(20)

KL²=300

√KL²= √300

KL = 17.32

The volume of the marbles is   26-20.9 = 5.1 l      and there ar e85 marbles

5.1/85 = .06 l/marble

then 200 marbles would requrie    .06 l/marble x 200 marbles = 12 liters

so he would only need  26-12= 14 liters of water to fill the tank !

Answer:

14 marbles

Step-by-step explanation:

Answer:

(1)18y x 4x(1)

Step-by-step explanation:

Please comment this in english.

The domain is all of the x-values a function can have. The range is all of the y-values a function can have.

#50.

Domain: [-5, 10]

---The function starts at the x-value -5 and stops at the x-value 10.

Range: [-3, 5]

---The smallest y-value is -3 and the largest y-value is 5.

#51.

Domain: [-2, infinity)

---The function starts at the x-value -2 and has an arrow to indicate that it goes on forever.

Range: [0, infinity)

---The smallest y-value is 0 and an arrow indicates that the functions goes up and on forever.

Hope this helps!

Answer:

1/2 pound for each dog.

Step-by-step explanation:

Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?

You want the units to be pounds per dog or pounds/ number of dogs.

The numerator is 6.5

The denominator is dogs (13)

Food per dog = 6.5 / 13 = 1/2

The following equations could be used to find the price of a child's ticket,  3x + 2(2x) = 28, the correct option is B.

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, quadratic equations.

The system of equations are used to solve complex problems.

Let the cost of child ticket is $x

An adult ticket is twice the cost of a child's ticket.

Let the cost of adult ticket is $2x

The total amount Angela paid is $28 for two adult tickets and three children's tickets.

The equation that will be formed is

4x + 3x = 28

It can also be written as 3x + 2(2x) = 28.

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Answer:

Add all points to the drawing, then subtract the result,

Step-by-step explanation:

Answer:

because any number over 0 is 0 and if   |abcd|=1 that it is not possible to be 0

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

alexander

Step-by-step explanation:

Answer:

Step-byit is alexander

Answer:

A = 24 in^2

Step-by-step explanation:

A = 1/2 bh

Let b = 8 and h = 6

A = 1/2 (8)(6)

A = 24 in^2

The area of a triangle is found using the formula bh/2, where b is the base and h is the height. What is the area in square inches of a triangle with a height of 6 inches and a base of 8 inches?

Given Data :

Height = 6 inches

Base = 8 inches

Formula for Area of traingle is :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \: \: \red{ \underline{ \red{ \overline{ \orange{ \boxed{ \pink{\frak{Area \: of \: Triangle = \frac{1}{2} × Base × Height }}}}}}}}[/tex]

So, putting the values of Base and Height we get

[tex] \leadsto \frak{Area = \frac{1}{2} × 8 \times 6 }[/tex]

[tex] \leadsto \frak{Area = \frac{1}{ \cancel2} × \cancel 8 \times 6 }[/tex]

[tex] \leadsto \frak{Area = 4 \times 6 }[/tex]

[tex] \leadsto \frak{Area = 24 \: {in}^{2} }[/tex]

Hence, the area of the traingle is 24 inches²

Answer:

The square root of 9 is 3

Step-by-step explanation:

Calculator

An absolute value equation to satisfy the given solution set shown on a number line is -1/2 ≤ a ≤ 1/2.

A number has both magnitude(its absolute value) and its sign(positive or negative).

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

In the number line we can clearly see that our possible values of a are in the range:

-1/2 ≤ a ≤ 1/2

And we need to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

Ia - 1/2I ≤ 1/2

Notice; using the minor and equal sign, this is because the black dots means that the values a = -1/2 and a = 1/2 are included, if the dots were empty dots, it would be an open set and we should use the <  > signs.

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Answer:

the answer is -2x-y=2

Step-by-step explanation:

Ax+By=C

y=mx+b

y=2x-2

-2x-y=2

Answer:

y=−2x−2

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

It's the green one, and the percentage is 2/5 (40%)

Step-by-step explanation:

Explanation: There were 600 total tickets sold, 240 of them being for the Saturday performance. The question is asking what percent of the total tickets sold were for the Saturday performance, so you do 240/600 which is 2/5 (0.40, 40%). As for the diagram, you kinda just figure out which one has the "?" 2/5ths along the way of the diagram. Hope this helps for your question, and explain the problem for future reference.

Answer: 1.5

Step-by-step explanation: Given:

                                       A=1/10×5 + 11²

                                        B= 5 - 11²

                              If     c = A + B

                                      c = ( 1/10×5 +11²) + ( 5 - 11² )

                                              = ( 5/10 + 121) + ( 5 - 121)

                                                = ( 121.5) + ( -120)

                                                    = 121.5 - 120

                                                    =  1.5