Rachel participated in a 12-kilometer walkathon to raise money for her favorite charity. If it took her 2.5 hours to complete it, what was the rate in kilometers per hour?

Answer:

2 and 6

Step-by-step explanation:

Adjacent angles require a common vertex, side, and the interiors don't overlap.

28 each book 155-15=140 and then 140÷5=28

Answer:

y = -2x - 4

Step-by-step explanation:

In order to write down the equation of this line in slope-intercept form we will need to know the slope and the y intercept. Since the y intercept is the value of y when x = 0, from this we know that in our case the y intercept is - 4. Now in order of find the slope we can choose any two points on the linear function and then divide the rise by the run of the slope (if you want to understand this more you can read about how to find the slope). In our case I took two points (-2, 0) and (0, -4). Form here we know that the slope is....

Let "m" be the slope...

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1} }= \frac{-4 - 0}{0 + 2} = \frac{-4}{2} = -2[/tex]

We know that the slope-intercept looks like y = mx + b (where m is the slope and b is the intercept) so since we know both the slope and the y interest we can conclude the following.

The equation of the linear function show is y = -2x - 4

Answer: It’s Elvis Presley.

Step-by-step explanation: yes :)

btw the comment section is deep <3

Answer:

-6

Step-by-step explanation:

3(-4) = -12

-2(-3)= 6

-12+6= -6

Answer:

-6

Step-by-step explanation:

If x = -4 and y = -3, the equation should be set up like this: 3(-4) - 2(-3). The rule is if you multiply a 1 positive number by 1 negative number, the answer will be negative.

3(-4) = -12

2(-3) = -6

Then, once you figure out the multiplication, finish up the equation by subtracting.

-12 - (-6) = -6

Answer:

That is correct!

Step-by-step explanation:

Hope i could help!!!!!!!!

Answer: y = 4km + 2km*x

Step-by-step explanation:

We know that Madelyn already cycled 4km this year, so we start at that point.

Now, each time that she goes to work, she cycles 2 km in total.

Now, if she does x trips to work, then she cycles 2km x times, this means that in total she would cycle 2km*x

if we also count the 4km she already has, we have the linear equation:

y = 4km + 2km*x

This is the equation we wanted to get.

Answer:

8). TN = 22 units ; 9). √165

Step-by-step explanation:

The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.

8). 6x - 56 = 3x - 17

3x = 39

x = 13

TN = 22 units

9). 4x - 17 = x + 10

3x = 27

x = 9

TN = 19

RT = [tex]\sqrt{TN^2 - RN^2}[/tex]

RT = [tex]\sqrt{361-196}[/tex] = √165 ≈ 12.8 units

Applying the properties of circumcenter of a triangle and the Pythagorean Theorem, the measure of each given segments are calculated as:

8. TN = 22

9. RT = 12.8

Recall:

8. Find TN

Given,

Thus,

6x - 56 = 3x - 17 (MT = TN = TP, because they are equidistant from the circumcenter, T.)

6x - 3x = 56 - 17

3x = 39

x = 13

TN = TP = 3x - 17

TN = 3x - 17

TN = 3(13) - 17

TN = 22

9. Find RT

Given,

Thus,

4x - 17 = x + 10 (TN = TP)

4x - x = 17 + 10

3x = 27

x = 9

TN = 4x - 17

TN = 4(9) - 17

TN = 19

To find RT, apply the Pythagorean Theorem

[tex]RT = \sqrt{TN^2 - RN^2}[/tex]

[tex]RT = \sqrt{19^2 - 14^2}\\\\\mathbf{RT = 12.8}[/tex]

In summary, applying the properties of circumcenter of a triangle and the Pythagorean Theorem, the measure of each given segments are calculated as:

8. TN = 22

9. RT = 12.8

Learn more about circumcenter of a triangle here:

https://brainly.com/question/8055762

Answer:

35:25

Step-by-step explanation:

seventh and eighth to sixth

7th+8th : 6th

20+15 : 25

35:25

Answer:

the third one

Step-by-step explanation:

you cannot add the hypotenuse with anything else to equal a leg if that makes sense

Answer:

I am not sure but I think the '' D'' answer is correct

Answer:

Height and Base Area

Step-by-step explanation:

If two space figures have the same height and the same cross-sectional area at every level, then they have the same volume

- Cavaleri's Principle

Answer:

n = 11

Step-by-step explanation:

The side length of a triangle are n,n-3 and 2(n-2).

The perimeter of the triangle, P = 37 units

We need to find the value of n.

Perimeter = sum of all sides

n+n-3 +2(n-2) = 37

2n-3+2n-4 = 37

4n -7 = 37

4n = 37+7

4n = 44

n = 11

So, the value of n is 11.

Answer:

-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plot your first point at coordinates (-3,-1). Then, plot your second point at (0,-2). You will notice this graph is a negative slope, given -1/3x from the equation, and that it shifts down 2 on the y-axis, given the -2 from the equation. Hope this helps!

Answer:

Decay

Step-by-step explanation:

The value, y of an investment x is given by:

y = 25000(1.16)^-x

x = number of month after investment

y = value of investment after x months

The function f(y) above is an exponential usually related in the form:

y = Ar^-x

Plugging values of x into the function :

After 1 month; x = 1

y = 25000(1.16)^-1 = 21551.724

After 2 month; x = 2

y = 25000(1.16)^-2 = 18579.072

After 3 month; x = 3

y = 25000(1.16)^-3 = 16016.441

Since y is decreasing with increasing value of x, then we have a decay

Answer:

Decay

Step-by-step explanation:

Answer:

272 ft²

Step-by-step explanation:

Given that:

Width = 32 = length of base ; depth = 17 = height

Area of triangle :

A = 0.5 * base * height

A = 0.5 * 17 * 32

A = 272 ft²

Area of triangular stage = 272 ft²

Answer:

[tex]\huge\boxed{\sf Slope = \frac{7}{8} }[/tex]

Step-by-step explanation:

[tex]\sf (x_{1},y_{1}) = (-28,-31)\\\\(x_{2},y_{2}) = (36,25)[/tex]

[tex]\sf Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\Slope = \frac{25-(-31)}{36-(-28)} \\\\Slope = \frac{25+31}{36+28} \\\\Slope = \frac{56}{64}\\\\Slope = \frac{7}{8} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

N=(-2,2)

G=(-2,-4)

H=(6,-4)

Answer:

y = -3.84.

Step-by-step explanation:

(0.4y - 3)/(1.5y + 9) = -7/5

Cross multiply:

2y - 15 = -10.5y - 63

12.5y =  -48

y = -3.84

Answer:

4.969696 hours

Step-by-step explanation:

The distance traveled is shown through the following equations

Distance = velocity * time

This means that

4100=velocity*4

This means that ariplane 1 travles at 1025 km/hr

We can then subtract 200 from this to find that airplane two travels at a speed of 825 km/hr

Now we need to find how long it takes for that plane to travel 4100

So using the same equation

4100=825*time

Divison will tell us that the answer is around 4.9696 hours which is pretty much 5

Answer: The answer is B 7/4

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

[tex]-2(1 - 4x) = 3x + 8[/tex]

[tex]=> -2 + 8x = 3x + 8[/tex]

Lets keep the variables in L.H.S .

[tex]=> 8x - 3x = 8 + 2[/tex]

[tex]=> 5x = 10[/tex]

[tex]=> x = \frac{10}{5} = 2[/tex]

Verification :-

Lets put x = 2 in the eqn.

In L.H.S -

[tex]-2 (1 - 4 \times 2)[/tex]

[tex]=> -2 (1 - 8)[/tex]

[tex]=> -2 \times -7[/tex]

[tex]=> 14[/tex]

In R.H.S -

[tex]3 \times 2 + 8[/tex]

[tex]=> 6 + 8[/tex]

[tex]=> 14[/tex]

∴ L.H.S. = R.H.S. (Proved)

Answer:

Verduras= $100

Lacteos= $60

Menestras= $120

Frutas y verduras= $80

Limpieza= $40

Step-by-step explanation:

Presupuesto= $400

Primero determinamos la proporción a gastar en cada rubro:

Verduras= 0.25

Lacteos= 0.15

Menestras= 0.3

Frutas y verduras= 0.2

Total= 0.9

Limpieza= (1 - 0.9) = 0.1

Ahora, la cantidad de dinero:

Verduras= 0.25*400= $100

Lacteos= 0.15*400= $60

Menestras= 0.3*400= $120

Frutas y verduras= 0.2*400= $80

Limpieza= 0.1*400= $40

Total= $400

Answer:

Step-by-step explanation:

Simplifying

(2x + -3)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(-4 + x) = 0

Multiply (-3 + 2x) * (-4 + x)

(-3(-4 + x) + 2x * (-4 + x)) = 0

((-4 * -3 + x * -3) + 2x * (-4 + x)) = 0

((12 + -3x) + 2x * (-4 + x)) = 0

(12 + -3x + (-4 * 2x + x * 2x)) = 0

(12 + -3x + (-8x + 2x2)) = 0

Combine like terms: -3x + -8x = -11x

(12 + -11x + 2x2) = 0

Solving

12 + -11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + -2x)(4 + -1x) = 0

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying

3 + -2x = 0

Solving

3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -2x = 0 + -3

-2x = 0 + -3

Combine like terms: 0 + -3 = -3

-2x = -3

Divide each side by '-2'.

x = 1.5

Simplifying

x = 1.5

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

Solution

x = {1.5, 4}

Answer:

[tex]2x^2+5x-12=0[/tex]

Step-by-step explanation:

Algebra

To expand the given equation

[tex](2x-3)(x+4)=0[/tex]

we'll use the distributive property by multiplying each term of the first binomial by each term of the second binomial as follows:

[tex]2x^2+8x-3x-12=0[/tex]

Rearranging and simplifying:

[tex]\mathbf{2x^2+5x-12=0}[/tex]

Answer:

year 1 $520

year 2 $540.80

year 3 $562.43

Step-by-step explanation:

100 + 4 = 104

104/100= 1.04

500 X 1.04^of how many years

Answer:

24

Step-by-step explanation:

volume of the pyramid=length*width* height*1/3