Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long (in hours) will it be before Amanda catches up to Ben?

Enter the exact answer.
Hint: The distance formula is that distance = rate * time, so for example in one and a half hours, Ben has walked 3 * 1.5 miles.

Answer:

Clock

Step-by-step explanation:

The answer is Clock because the time changes from AM to PM and there are many things inside that cause it to work.

Answer:

El resultado es:

[tex]\displaystyle \frac{29}{56}[/tex]

Step-by-step explanation:

Suma de fracciones

Vamos a sumar:

[tex]\displaystyle \frac{3}{8}+\frac{1}{7}[/tex]

Debemos encontrar el mínimo común múltiplo (MCM) entre los denominadores, en este caso, 7 y 8.

Descomponemos en factores primos:

7=7

8=2*2*2

Se toman los comunes y no comunes con máximo exponente, así que el MCM es 7*8=56.

Se procede a dividir el MCM entre cada denominador y al multiplicarlo por su numerador correspondiente:

[tex]\displaystyle \frac{3}{8}+\frac{1}{7}=\frac{3*7+1*8}{56}=\frac{29}{56}[/tex]

El resultado es:

[tex]\displaystyle \frac{29}{56}[/tex]

Answer:

yes it does

Step-by-step explanation:

the x numbers do not repeat

Yes, the given relation is function.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

set of ordered pairs= {(0,4),(2,6),(4,2), (6,2), (8,6)}

As, we know that the function has one input with corresponding one output.

So, we can see from the ordered pair that no input value have repeated and have respective output.

Hence, the relation is function.

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Answer:

x = 18.5

Step-by-step explanation:

If you do the butterfly method, you should get 2x-1 = 36

2x = 37

x = 18.5

Answer:

4

Step-by-step explanation:

Answer: i won't tell you the answer but i will break it up for you so i can make easier for you

Step-by-step explanation: (-5x^2) (y^c) x (x^5) (2y^3)(5x^7)(y^6)(2)  Or for the ones for  numerator and denominator you can do this

(x^5)

____     =    ( -5x^7)

                   ______

                   (2)

(2y^3)

So for the one with numerator and denominator i got a stuck on a little but i tried doing this way if you like this way i can keep it like this if you dont i can change it

Answer:

72.1 degrees... 72 point 1 degress in case you cant see the ( . )

Step-by-step explanation:

62.4 minus -9.7= is 72.1

Answer:

[tex]\frac{3}{2} \textrm{ cups of flour}[/tex]

Step-by-step explanation:

the ratio of cups of flour per 1 cup of water:

[tex]\frac{2\frac{1}{2}}{1\frac{2}{3}}=\frac{\frac{5}{2}}{\frac{5}{3}}=\frac{3}{2}[/tex]

Answer:

C.20,800

Step-by-step explanation:

10.00 per hour so 10x8=80

then 80x5=400

400x52=20,800

Answer:

y= 1/3x + 1.

Step-by-step explanation:

Answer:

Option (A)

Step-by-step explanation:

From the given triangle in the picture,

∠y and the angle measuring 81° is a pair of supplementary angles (linear pair angles).

m∠y + 81° = 180°

m∠y  = 180° - 81°

        = 99°

By the property of a triangle,

x° + y° + 47° = 180°

x° + y° = 180° - 47°

x° + y° = 133°

For y = 99°

x° + 99° = 133°

x° = 133° - 99°

   = 34°

Similarly, z° + 58° + 81° = 180°

z° + 139° = 180°

z° = 180° - 139°

z° = 41°

Therefore, Option (A) will be the correct option.

Applying the definition of the straight line angle and sum of triangle, the values of the variables in the figure are:

Recall:

Thus:

y° + 81° = 180° (angles on a straight line)

y° = 180° - 81°

y° = 99°

x° +  y° + 47° = 180° (sum of triangle)

x° + 99° + 47° = 180°

x° + 146° = 180°

x° = 180° - 146°

x° = 34°

z° + 81° + 58° = 180° (sum of triangle)

z° + 139° = 180°

z° = 180° - 139°

z° = 41°

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Answer:

b. [tex]\frac{13}{6}[/tex]

Step-by-step explanation:

(15, 3) (9, -10)

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

[tex]\frac{-10 + -3}{9 - 15}[/tex]=   [tex]\frac{-13}{-6}[/tex] = [tex]\frac{13}{6}[/tex]

Answer:

15 protons, 15 neutrons and 18 electrons (3rd one) is the answer

Step-by-step explanation:

Answer:

[tex]1/3 (p+5) [/tex]

Step-by-step explanation:

[tex]1/3 p + 15 = \frac{1}{3} p + 15 = \\ \frac{p + 5}{3} = \frac{1}{3} ( p+ 5)[/tex]

♨Rage♨

Answer:

x=6

Step-by-step explanation:

h(x)=-20 is the same as saying y=-20, so you would substitute h(x) with -20 and solve the equation from there.

[tex]-20=-4x+4[/tex]

[tex]-4[/tex]               [tex]-4[/tex]

---------------------

[tex]\frac{-24}{-4} =\frac{-4x}{-4}[/tex]

[tex]6=x[/tex]

Somethings I can observe that have the same quality is that all functions only have one outcome for a given input. A vertical line will never meet the graph more than once. No X values are used more than once. A function will have either no horizontal asymptote or just one asymptote. These are some common traits that all functions have.

We can see that all functions have the one outcome for one value of x if we can see all the functions carefully.

A function is a relation in which each value of x corresponds to some value of y.

When we see some functions, they have the same quality of giving one result for one  input. The quality of the graph of all functions is that the vertical line cannot meet the axis twice.

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1. 157.5108.35

2. 108.35

3. 494.46

4. 233.7

5. 342.16

Step-by-step explanation:

Answer: 30:18 or 30 to 18

Step-by-step explanation:

Answer: 0.254

Step-by-step explanation:

Given that:

Number of cars = number of trials (n) = 8

Number that will be stopped by a red light = Numbe rof successes (r) = 3

Probability of success :

Red light = 15 seconds ; yellow = 5 seconds ; green = 30 seconds

P(red) = p(success) = p = 15 / (15 + 5 + 30) = 15/50 = 3 /10 = 0.3

1 - p = 1 - 3/10 = 7/10 = 0.7

Using the binomial probability relation:

p(exactly 3):

P(8, 3) = 8C3 * p^3 * (1-p)^(8-3)

P(8, 3) = 8C3 * p^3 * (1-p)^5

P(8, 3) = 56 * 0.3^3 * 0.7^5

= 0.25412

= 0.254

Answer:  (number 1 is the popular vote) (number 2 is whoever wins the state gets all the electoral votes) (number 3 is electors cast the official vote) (and finally at number 4 the first candidate to 270 wins the election)

Answer:

26.89

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

A bed is a type of object a person uses to sleep on. It usually contains blankets and pillows

Step-by-step explanation:

Can i have brainliest?

Answer:

350.62 feet

Step-by-step explanation:

Answer:

(-4,-1)

Step-by-step explanation:

Answer:

The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.

Step-by-step explanation:

We assume that goose is flying at constant velocity. After reading carefully the statement of the problem, we create the following geometrical diagram, which is included at the end of this explanation and represents the following Pythagorean identity:

[tex]x^{2}+y^{2} = r^{2}[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Horizontal distance of the goose from pond, measured in feet.

[tex]y[/tex] - Vertical distance of the goose from pond, measured in feet.

[tex]r[/tex] - Resultant distance of the goose from pond, measured in feet.

We find the rate of change in time at which resultant distance is increasing by differentiating on (Eq. 1):

[tex]2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y = 2\cdot r \cdot \dot r[/tex]

[tex]x\cdot \dot x + y\cdot \dot y = r\cdot \dot r[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (Eq. 2)

Where:

[tex]\dot x[/tex] - Rate of change of horizontal distance, measured in feet per second.

[tex]\dot y[/tex] - Rate of change of vertical distance, measured in feet per second.

[tex]\dot r[/tex] - Rate of change of resulting distance, measured in feet per second.

If we know that [tex]x = 500\,ft[/tex], [tex]y = 300\,ft[/tex], [tex]\dot x = 50\,\frac{ft}{s}[/tex] and [tex]\dot y = 0\,\frac{ft}{s}[/tex], the rate at which the distance from the goose to the pond is increasing is:

[tex]\dot r = \frac{(500\,ft)\cdot \left(50\,\frac{ft}{s}\right)+(300\,ft)\cdot \left(0\,\frac{ft}{s} \right) }{\sqrt{(500\,ft)^{2}+(300\,ft)^{2}}}[/tex]

[tex]\dot r \approx 42.875\,\frac{ft}{s}[/tex]

The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.

Answer:

1-5

3-7

8-4

2-6

6-3

3-7

Step-by-step explanation:

Answer:

5. 65

6. 80

7. m<7 and m<2