You are walking directly away from your house. You are 5 miles away from your house when you start walking, so you can determine your distance from your house by adding 5 to the number of miles you have walked. In the equation below, x represents the number of miles you have walked, and y represents your distance from home in miles.

The relationship between these two variables can be expressed by the following equation:
y=x+5

Identify the dependent and independent variables.

Answer:

[tex](27) - \frac{1}{3} (27) - \frac{1}{3} \times ( \frac{271}{3} - \frac{272}{3} ) \\ \\ 27 - 9 - \frac{1}{3} ( \frac{ - 1}{3} ) \\ \\ 27 - 9 - ( - \frac{1}{9} ) \\ \\ 27 - 9 + \frac{1}{9} \\ \\ \frac{243 - 81 + 1}{9} \\ \\ = \frac{163}{9} = 18.1 = 18 \frac{1}{9} [/tex]

I hope I helped you^_^

Step-by-step explanation:

x/3-2/5=2x/15-3x

5x-6=2x-9

5x-2x=-9+6

3x=-3

3x/3=-3/3

x=-1

Answer:

a

Step-by-step explanation:

a rational number is a whole number

Answer:

5×(w + 7) = 4

Step-by-step explanation:

w is the unknown number.

5 times something means multiply something 5 times.

a sum means adding things

so, the sum of a number and 7 is

w + 7

5 times that sum is then

5×(w + 7)

and that while thing is (equals) 4

5×(w + 7) = 4

by the way, solving that means

5w + 35 = 4

5w = -31

w = -31/5

Answer:

5(w + 7) = 4

Step-by-step explanation:

Do one part of the sentence at a time until you write the entire sentence as an equation.

"Five times the sum of a number and 7 is 4."

The problem tells us to use w for the number, so we write w below.

w

"Five times the sum of a number and 7 is 4."

Now we move on to the part dealing with the sum of the number and 7. A sum is an addition, so we add 7 to the number w.

w + 7

"Five times the sum of a number and 7 is 4."

Now we take care of the part dealing with product of 5 and the sum.

5(w + 7)

"Five times the sum of a number and 7 is 4."

The last part is dealing with the part "is 4". The word "is" very often means "equals", so the entire expression we wrote is equal to 4.

5(w + 7) = 4

Answer: 5(w + 7) = 4

Transforming figure A into k requires some methods. Therefore, both reflection and rotation could be applied. Thus both students are right.

Rigid transformation is a method required in resizing or changing the orientation of a given shape. The types are: translation, reflection, rotation and dilation.

Considering figure A and its image k given in the question, transformation has occurred. Reflection is the process of flipping a given figure about a reference line or a point. Thus Kareem is right if A is turned over the line joining A and k.

Secondly, rotation implies turning a given shape through a certain angle to form its image. Thus if figure A is turned clockwise or counterclockwise about the mid point of the line joining A and k, then Amelia is right.

It can be said that both students could be right.

Visit: https://brainly.com/question/16087635

9514 1404 393

Answer:

  8/5 = 1.6

Step-by-step explanation:

It looks like the line crosses grid points (-4, -4) and (1, 4). This means the slope is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -(-4))/(1 -(-4)) = 8/5 = 1.6

The slope of the line seems to be about 8/5, or 1.6.

Answer:

P Coordinate = (4, -2)

Answer:

This is the sum --->  4x^2y + 4xy^2 - 1

Step-by-step explanation:

(3x^2y+4xy^2-2y^3+3) + (x^2y+2y^3-4)

(remove the parenthesis)

= 3x^2y + 4xy^2 - 2y^3 + 3 + x^2y + 2y^3 - 4    

(now, group the like terms)

= -2y^3 + 2y^3 + 4xy^2 + 3x^2y + x^2y + 3 - 4  

(add the elements you think are alike or similar)

= -2y^3 + 2y^3 + 4xy^2 + 4x^2y + 3 - 4              

=  4xy^2 + 4x^2y + 3 - 4  

= 4xy^2 + 4x^2y - 1

Answer:

the sum is  4x^2y + 4xy^2 - 1

Answer:

Step-by-step explanation:

Base = 8 * 8 = 64 square units

4 (8*6)/2 = 96 square units

64 + 96 = 160 square units

Answer:

671080887.6

Step-by-step explanation:

1 second = 300,000km

3600 seconds = 3600 x 300,000 = 1080000000 km then convert to miles

is 671080887.6

Answer:

x = -1

Step-by-step explanation:

Given: [tex]f(x) = - 3x + 3[/tex]

Solve for x, When: [tex]f(x) = 6[/tex]

Step by step:

[tex] - 3x + 3 = 6[/tex]

[tex] - 3x = 6 - 3[/tex]

[tex] - 3x = 3[/tex]

[tex]x = 3 \div - 3[/tex]

[tex]\boxed{\green{x = - 1}}[/tex]

Answer:

8 32  A for area and H for height

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

hopefully the picture is visible and understandable.

:)

Step-by-step explanation:

The square root of -9 is greater than that

Answer:

[tex]h( - 8) = \frac{( - 8)^{2} + 3( - 8) }{4( -8 ) + 27} \\ \\ = \frac{64 - 24}{ - 32 + 27} \\ \\ = \frac{40}{ - 5} \\ \\ h( - 8) = - 8[/tex]

I hope I helped you^_^

Step-by-step explanation:

[tex] {40}^{ \frac{1}{2} } and \: 2 \sqrt{10} [/tex]

Answer:

Step-by-step explanation:

since GCF(162,108,180)=18

and you have not mentionned it was the maximum of arrangements you want:

[tex]\begin{array}{c|c|c|c}\#arrangement&\#Roses&\#Dahlias&\#Tulips\\-------&-------&-------&-------\\1&162&108&180\\2&81&54&90\\3&54&36&60\\6&27&18&30\\9&18&12&30\\18&9&6&10\\-------&-------&-------&-------\\\end {array}[/tex]

Recall that the slope or gradient of a line segment through two points is the ratio of the change in the y coordinate to the change in the x coordinate.

If the gradient is 1, then

1 = (-3 - 4) / (a - 3a)

Solve for a :

1 = -7 / (-2a)

1 = 7/(2a)

2a = 7

a = 7/2

Answer: 280 graduates per year

Step-by-step explanation:

the rate of change is the change in y (number of graduates) divided by the change in x (year).

So: [tex]\frac{8.9-7.5}{2010-2005} = 0.28[/tex] because this number is in thousands of graduates, multiply by 1000 to get 0.28*1000=280 graduates per year

Answer:

[tex]\frac{1.4}{5}[/tex]

Step-by-step explanation:

We have the coordinates (2005, 7.5) and (2010, 8.9). To find the rate of change we must use the equation [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] which is [tex]\frac{8.9-7.5}{2010-2005}[/tex]. To simplify that further, we get [tex]\frac{1.4}{5}[/tex] therefore the rate of change is 1.4 over 5.

Answer:

Volume = Length × Width × Height

Volume = 10 × 3 × 2

Volume = 60 cm

Answer:

b

Step-by-step explanation:

Answer:

b) division.

Answer:

26

Step-by-step explanation:

It says find f(f(2)), so we need to find f(2) and then input that into the same function. f(2)=5 so then we input that into the function again and get 26. Boom.

Answer:

26

Step-by-step explanation:

Ok first u find f(2) so for that u have to input 2 into the value of x. So 2^2 +1 =5

When we get 5 we input THAT into f(x)

So:

F(5) = 5^2 +1

=26

Answer:

90°

Step-by-step explanation:

X=180°-(45°+45°){being square property}

X=180°-90°

X=90°

Answer:

11c+12

Step-by-step explanation:

It's just simple addition and subtraction, it just happens to have a variable.

(The question wasn't super clear on if it was just simplification or if you're supposed to solve for c but if it's asking to solve for c I can update the answer if you let me know)

Answer:

.375

Step-by-step explanation: