A map uses a scale of 1 centimeter = 200 meters.
If it is 5 kilometers between two locations, how many centimeters on the map is it?

Answer:

C

Step-by-step explanation:

The equation matches the graph is y= 4x.

the correct option is B.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have line graph from which we can consider two points as (1, 4) and (3, 12).

So, the slope of line

m = (12 - 4)/ (3-1)

m= 8/ 2

m= 4

Now, using slope intercept form

y= mx+b

y= 4x + b

Now, put x= 1 and y=4 in above equation

4 = 4 + b

b= 0

So, the Equation of line is y= 4x.

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Answer:

27 in3

Step-by-step explanation:

Answer:

56inches

Step-by-step explanation:

formula: Area x 6.

a cube has 6 sides. For 1 side, since the length is 3, we multiply by 3 to get the area to get 9. Thats only 1 side, so we multiply 9 by the 6 sides to get 56.

Answer:

D. 1/2

Step-by-step explanation:

1/2 = 0.5

1/2 it´s a representation of a decimal number.

Answer:

176 R. 5

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

176r5 first

Answer:

yes

Step-by-step explanation:

if you do one good thing for someone eles they would want other people to feel the same way

Answer:

yes because the person is going to feel comfortable and spread kindness to others :)

Step-by-step explanation:

Answer:

48º

Step-by-step explanation:

Looks like opposite angles are congruent

Answer: 50%

Step-by-step explanation: 180/390 = 1/2 =0.5

0.5*100 = 50%

No questions asked

Answer:

210%

Step-by-step explanation:

dat was too easy

Answer:

210% or 21% or 2.10%

its all about what 2.10 is out of (example:   /1=210%  /10= 21%  /100=2.1%

edit: if your wondering what the "/" means it means " out of"                (example: 1 out of 100 is 1%)

Answer:

I got x = 0

Step-by-step explanation:

y = (47/2)x Substitute y =0

0 = (47/2) x Multiply both side

0 = x Swap the sides

x = 0

Answer:

529

Step-by-step explanation:

892-363=529

529+363=892

Final Answer: [tex]529[/tex]

Steps/Reasons/Explanation:

We will write down the equation [tex]892 = x + 363[/tex] because we would need to get [tex]x[/tex] by itself. Doing this will make us able to find the other number.

Question: The sum of 2 numbers is 892. One of the numbers is 363. What is the other number?

Step 1: Subtract [tex]363[/tex] from both sides.

[tex]892 - 363 = x[/tex]

Step 2: Simplify [tex]892 - 363[/tex] to [tex]529[/tex].

[tex]529 = x[/tex]

Step 3: Switch sides.

[tex]x = 529[/tex]

~I hope I helped you :)~

Answer:

She swam for 3 hours 10 minutes

Step-by-step explanation:

Since x² + kx + (k + 3) is tangent to the x-axis, the quadratic function has a repeated root.

The discriminant is zero, so b² - 4ac = 0.

=> k² - 4(1)(k + 3) = 0

=> k² - 4k - 12 = 0

=> (k - 6)(k + 2) = 0

Hence k = 6 or k = -2.

The value of k is -2 and 6.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x² + kx + (k + 3) is tangent to the x-axis.

This means,

The equation has roots.

Now,

The determinant of the equation is equal to zero.

D = b² - 4ac

x² + kx + (k + 3) is in the form of ax² + bx + c.

a = 1

b = k

c = k + 3

Now,

D = 0

k² - 4(k + 3) = 0

k² - 4k - 12 = 0

k² - (6 - 2)k - 12 = 0

k² - 6k + 2k - 12 = 0

k(k - 6) + 2(k - 6) = 0

(k + 2) (k - 6) = 0

k + 2 = 0

k = -2

k - 6 = 0

k = 6

Thus,

k = -2 and 6.

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Answer:

x= 15 and y= 11

Step-by-step explanation:

The goal here is to solve

x + y =26 and

3x + y =56 for the variables x and y.

First, let's work on your first equation, x + y =26

After this initial survey of the equations, the system of equations we'll set out to solve is:

x+y = 26 and 3x+y = 56

Let's start by solving x+y = 26 for the variable x.

Move the y to the right hand side by subtracting y from both sides, like this:

From the left hand side:

y - y = 0

The answer is x

From the right hand side:

The answer is 26-y

Now, the equation reads:

x = 26-y

To isolate the x, we have to divide both sides of the equation by the other variables

around the x on the left side of the equation.

and this is the final solution to your equation.

Next, let's solve 3x+y = 56 for the variable y.

Move the 3x to the right hand side by subtracting 3x from both sides, like this:

From the left hand side:

3x - 3x = 0

The answer is y

From the right hand side:

The answer is 56-3x

Now, the equation reads:

y = 56-3x

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

and this is the final solution to your equation.

Now, plug the earlier result, x=26-y, in for x everywhere it occurs in

y=56-3x.

This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.

26-y evaluates to 26-y

Multiply 3 by 26-y

we multiply 3 by each term in 26-y term by term.

This is the distributive property of multiplication.

Multiply 3 and 26

1

3 × 26 = 78

Multiply 3 and -y

Multiply 1 and y

The y just gets copied along.

y

3 × -y = -3y

3*(26-y) evaluates to 78-3y

56 - 78 = -22

The answer is -22+3y

56-3*(26-y) evaluates to -22+3y

Move the 3y to the left hand side by subtracting 3y from both sides, like this:

From the left hand side:

y - 3y = -2y

The answer is -2y

From the right hand side:

3y - 3y = 0

The answer is -22

Now, the equation reads:

-2y = -22

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

The last step is to divide both sides of the equation by -2 like this:

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

-2y ÷ -2 = y

-22 ÷ -2 = 11

The solution to your equation is:

y = 11

Lastly, to find the solution for x, we plug this answer for y into the earlier result that

x=26-y.

This gives x=26-(11). Now, simplify this.

26-(11) evaluates to 15

x= 15

So, the solutions to your equations are:

x= 15 and y= 11

Answer:

(15, 11 )

Step-by-step explanation:

Given the 2 equations

x + y = 26 → (1)

3x + y = 56 → (2)

Subtract (1) from (2) term by term to eliminate y, that is

2x = 30 ( divide both sides by 2 )

x = 15

Substitute x = 15 into either of the 2 equations and solve for y

Substituting into (1)

15 + y = 26 ( subtract 15 from both sides )

y = 11

solution is (15, 11 )

Answer:

145

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

D. 1.33

Step-by-step explanation:

[tex] \because \: x = tan (\theta) \\ \\ tan (\theta) = \frac{4}{3} \\ \\ tan (\theta) = 1.33 \\ \\ \implies \: x = 1.33[/tex]

Answer:

The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

[tex]X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}[/tex]

[tex]= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}[/tex]

[tex]= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}[/tex]

[tex]= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}[/tex]

[tex]= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}[/tex]

= 0.0087999

≅ 0.0088

Answer:

b

Step-by-step explanation:

Answer:

0.903

Step-by-step explanation:

[tex] log_{a}8 \\ \\ = log_{a} {2}^{3} \\ \\ = 3log_{a} {2} \\ \\ = 3 \times 0.301 \\ \\ log_{a}8 = 0.903[/tex]

Answer: c

Step-by-step explanation:

First find 2 points like say

(0,3) and (1,-2)

now find the slope

3-(-2)/0-1 = -5

the y intercept is already known so the equation is y=-5x+3

Answer:

x=14

Step-by-step explanation:

Brianlist please Let me know if you need an explaination!

Answer:

The answer is 14

Step-by-step explanation:

4(2x-5)+3=5(x+5)

(distribute)

8x-20+3=5x+25

(combine like terms)

8x-20+3=5x+25

-5x.        -5x

_____________

3x-20+3=25

3x-17=25

    +17 +17

____________

3x=42

_______

    3

x=14

Answer:

The answer is C

Step-by-step explanation:

Answer:

Answer it yourself buddy (:

Step-by-step explanation:

Answer:

18.5

Step-by-step explanation:

First we plug in the number

-1 1/2 is the same as -1.5

Plugging this in we will have:

15(-1.5) + 4 =

-22.5 + 4 =

-18.5

Answer:

x-intercept = 10

y-intercept = -8

Step-by-step explanation:

[tex]4x-5y=40[/tex]

To identify the y-intercept, we will need to format the equation in the form [tex]y=mx+b[/tex]. We can start by subtracting [tex]4x[/tex] from both sides of the equation:

[tex]-5y=-4x+40[/tex]

Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-5[/tex]:

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

The [tex]b[/tex] is representative of the y-intercept in [tex]y=mx+b[/tex].

Identify [tex]b[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex]:

[tex]b=-8[/tex]

Therefore, our y-intercept is -8.

To solve for the x-intercept, replace the [tex]y[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex] with a zero:

[tex]0=\frac{-4}{-5} x - 8[/tex]

Add [tex]8[/tex] to both sides of the equation:

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

You can go ahead and divide [tex]-4[/tex] by [tex]-5[/tex] to get rid of the fraction:

[tex]8=0.8x[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]0.8[/tex]:

[tex]10=x[/tex]

Therefore, our x-intercept is 10.

Answer:107.2

Step-by-step explanation:

Answer:

107.2

Step-by-step explanation:

6 x 16 = 96

.7 x 16 = 11.2

add them to get 107.2

Note: your answer options suggest as if your actual question was

y = -4x - 9 instead of y = -x-9

But, anyways I am solving with respect to both equations

Answer:

Please check the explanation.

Step-by-step explanation:

IN CASE YOUR EQUATION ⇒ y = -x - 9

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the line

[tex]y = -x-9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -1

perpendicular slope = – 1/m = -1/-1 = 1

Thus the slope of this  perpendicular line will be:  1

IN CASE YOUR EQUATION ⇒ y = -4x - 9

Given the line

[tex]y = -4x - 9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -4

perpendicular slope = – 1/4 = -1/-4 = 4

Thus the slope of this  perpendicular line will be: 4

Answer:

10[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Let the width length be x.

Width length = x

Length = 2x + 4

Perimeter = width + length + width + length

                = x + 2x + 4 + x + 2x + 4

                = 6x + 8

6x + 8 = 28

6x = 28 - 8

    = 20

x = 20 ÷ 6

x = 3[tex]\frac{1}{3}[/tex]

Length (2x + 4) = 2(3[tex]\frac{1}{3}[/tex]) + 4

                         = 6[tex]\frac{2}{3}[/tex] + 4

                         = 10[tex]\frac{2}{3}[/tex]

Answer:

n=66

Step-by-step explanation:

6+12x+120+80+19x-1=360

205+31x=360

31x=155

x=5

Answer:

As per your defention, horses are the only thing considered "not small".  To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.

So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals

7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.

So,

23/27 * 100

The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.

So by doing the calculation we get

85.18%

Step-by-step explanation: