The scale of a map says that 8 cm represents 5 km.

What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
____ centimeters

What is the actual number of kilometers that is represented by 5 centimeters on the map?
____ kilometers
Please help

Answer:

x ≈ - 4.12 , x ≈ 0.12

Step-by-step explanation:

2x² + 8x - 1 = 0 ( add 1 to both sides )

2x² + 8x = 1 ( factor out 2 from the first two terms )

2(x² + 4x) = 1

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 4x

2(x² + 2(2)x + 4 - 4) = 1

2(x + 2)² - 8 = 1 ( add 8 to both sides )

2(x + 2)² = 9 ( divide both sides by 2 )

(x + 2)² = [tex]\frac{9}{2}[/tex] ( take square root of both sides )

x + 2 = ± [tex]\sqrt{\frac{9}{2} }[/tex] = ± [tex]\frac{3}{\sqrt{2} }[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\frac{3}{\sqrt{2} }[/tex]

Then

x = - 2 - [tex]\frac{3}{\sqrt{2} }[/tex] ≈ - 4.12 ( to 2 dec. places )

x = - 2 + [tex]\frac{3}{\sqrt{2} }[/tex] ≈ 0.12 ( to 2 dec. places )

Answer:

$5,940

Step-by-step explanation:

x/22 000 = 27/100

(part/whole)=(%/100)

(x)(100)=(22)(22 000)

Butterfly Method

100x=594 000

Divide by 100 on both sides to get x

x=5940

Answer:

4a^2-b^2a-4b^2-2a^b-4ab/b(a+4)(a+b)

Step-by-step explanation:

Answer:

Is it 0 ? im not sure

Step-by-step explanation:

Answer:

81°

Step-by-step explanation:

Both are vertical to one another. Vertical angles usually have the same degree.

Answer:

81 degrees

Step-by-step explanation:

because the two lines are straight, and we know that the angles opposite to each other are identical, and since FHC is equal to EHD, its size must also be equal.

Answer:

the simplest form of this expression is 10+4x

Answer:

25% decrease

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer:

w=-8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

39−12w=7−16w

39+−12w=7+−16w

−12w+39=−16w+7

Step 2: Add 16w to both sides.

−12w+39+16w=−16w+7+16w

4w+39=7

Step 3: Subtract 39 from both sides.

4w+39−39=7−39

4w=−32

Step 4: Divide both sides by 4.

4w/4=-32/4

Answer:

Option 1

Step-by-step explanation:

They have the same slope but different y-intercepts, so they have no solution.

Answer: They have the same slope but different y-intercepts, so they have no solution.

Step-by-step explanation:

Answer:

18 btw all you have to do is distribute

Step-by-step explanation:

12 + 20 - 18 + 4

12 + 2 + 4

12 + 6

18

Answer:

If the slope is negative, then there is a negative linear relationship, as one increases the other variable or unknown "number" or wtvr you want to call it decreases. Sorry if this doesnt help im not too good at math.

Step-by-step explanation:

Answer:

10.25

Step-by-step explanation:

4x+1=42

42-1=41

4x=41/4

x=10.25

Answer:

41/4 or 10.25

Step-by-step explanation:

4x=42‒1

4x=41

4x/4=41/4

x=10.25

i think it is easy &it helps you

Answer:

-3/4

Step-by-step explanation:

the rate of change is the slope of the line

7-3/0-(-4) = -3/4

Answer:

The probability that we got is 35%

Step-by-step explanation:

1.5 cm in the picture is 9 cm in reality.

1.5 × f = 9

f = 9/1.5 = 6

so, the scale factor of the picture is 1/6 of reality.

Answer:

2(3m^2 +4m+5)=2(3m+7)

Step-by-step explanation:

Answer:

How do you multiply 18 by 5/6? Here we will show you step-by-step how to solve 18 times 5/6, which can be written as follows:

18

 x    

5

6

Step 1: Setup

First of all, note that 18 is the same as 18/1 since 18 divided by 1 is 18. Therefore, start by setting up the problem like this:

18

1

 x    

5

6

Step 2: Multiply

Multiply the numerators together (18 x 5 = 90) and multiply the denominators together (1 x 6 = 6) and make it into one fraction like so:

90

6

Step 3: Minimize

The greatest common factor of 90 and 6 is 6. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get:

15

1

Step 4: Convert

Convert the improper fraction above to a whole number to get the answer:

15

That's it! Now you know how to calculate 18 times 5/6.

Answer:

15

Step-by-step explanation:

First turn the 18 into a fraction: 18/1

Next put the two fractions into an equation: 5/6 x 18/1 = ?

Then we mutiply the top numbers and the bottom numbers: 90/6

Finally since the fraction is top heavy, we divide to make it eithera lower fraction or a full number: 90/6 = 15

Your final answer will be 15 :)

Have an amazing day!!!

PLEASE RATE AND MARK BRAINLIEST!! :)

Answer:

y=1.4x+2

Step-by-step explanation:

Here is what the graph should look like:

A line with a slope of [tex]\frac{1}{4}[/tex], and a y intercept of 2:

y=1.4x+2

x=0.713y+-1.41

Has y intercept of: 2

Has X intercept of: -1.429

Sam bought a candy for 3 dollars.

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given that;

Sam bought a soft drink for four dollars and six candy bars.

And, He spent a total of 22 dollars.

Let the cost of each candy = x

So, We can formulate by the given condition,

⇒ $4 + 6x = $22

⇒ 4 + 6x = 22

⇒ 6x = 22 - 4

⇒ 6x = 18

⇒ x = $3

Learn more about the linear expression visit:

https://brainly.com/question/4074386

#SPJ2

Answer:

GCF = 2

Step-by-step explanation:

6n - 8

consider factors of 6 and 8

factors of 6 are 1, 2, 3, 6

factors of 8 are 1, 2, 4, 8

the GCF is 2

\

Answer: 2 is correct

Step-by-step explanation:

Answer: E.  (x+5)^2 + (y-5)^2 = 9

Step-by-step explanation:

The equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

We are given that the center is (-5,5), which means that h = -5 and k = 5.

We are also given that the radius (r) = 3, which means r^2 = 9.

Therefore, the equation should be (x-(-5))^2 + (y-5)^2 = 9.

--> (x+5)^2 + (y-5)^2 = 9

Answer:

The type of a terabyte is 2⁴⁰

Step-by-step explanation:

Given in the question ;

A kilobyte is 2¹⁰ bytes in size.

A gigabyte is 2³⁰ bytes in size.

The size of a terabyte is the product of the two given above.

Apply the laws of indices where you perform product and the base is the same, you add the powers and maintain the base as;

=2¹⁰ ₓ 2³⁰ = 2⁽¹⁰⁺³⁰⁾

=2⁴⁰

The answer is "C" -- 1/7

Step-by-step explanation:

Because 4 of the 28 kids in her class chose animated and 4/28 simplified is 1/7.

Answer:

a = 60° or π/3

Step-by-step explanation:

Given :-

sin² a/2 - sin a/2 + 1/4

To find :-

a

Solving :-

sin² a/2 - sin a/2 + 1/4 = (sin a/2 - 1/2)² = 0

sin a/2 - 1/2 = 0

sin a/2 = 1/2

a/2 = 30°

Solution :-

a = 60° or π/3

Answer:

( − ∞ , 15 ] , { y | y ≤ 15 }

is the range

Answer: The median changes from 83.6 to 81.2

Step-by-step explanation:

69+70+85+97+97= 418/5 = 83.6

69+70+85+97+97+69 = 487/6 = 81.2

The expression which represent the factored form of 2x² - 25x + 63 is (x - 9)(2x - 7)

2x² - 25x + 63

check all that apply

O (X+9)(2x+7)

= 2x² + 7x + 18x + 63

= 2x² + 25x + 63

False

O (X - 9)(2x - 7)

= 2x² - 7x - 18x + 63

= 2x² - 25x + 63

True

O (X+7)(2X+9)

= 2x² + 9x + 14x + 63

= 2x² + 23x + 63

False

O (X - 7)(2x - 9)

= 2x² - 9x - 14x + 63

= 2x2 - 23x + 63

False

Learn more about factorization:

https://brainly.com/question/723406

Answer:

√74

Step-by-step explanation:

We know the pythagorian triplet that,

A^2 + B^2 = Hypotenuse^2

Or, 5^2 + 7^2 =Hypotenuse ^2

Or, 25+49= Hypotenuse^2

Or, 74 = Hypotenuse^2

Hypotenuse= √74

Hope it helps

Mark me brainliest.

Answer:

202.5mm^2

Step-by-step explanation:

15x9= 135mm^2 (area of rectangle)

15-9=6

9÷2= 4.5

4.5x15= 67.5mm^2 (area of triangle)

135+67.5= 202.5mm^2 (total area)

answer is 202.5mm^2