A woman drives a distance of 40km to work each day and her average speed for the journey is written as x km/h. If she increase her average speed by 5km/h, it takes 2 minutes less time than usual to make the journey. Calculate her normal speed in km/h​

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

2.4x + 4.6x = 28

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that 28 does indeed equal 28.

∴ x = 4 is a solution of the equation.

Answer:

59.97 º at 18.23 mph

Step-by-step explanation:

Answer:

x = 45°, y = 85°

Step-by-step explanation:

x = 45° ( Alternate angles )

y = 85° ( Corresponding angles )

Answer:

B

Step-by-step explanation:

It's a guess

Answer: I think it is 8

Step-by-step explanation: Since the tree in the garden is a 24 foot shadow, you divide by the 6 foot shadow and get 4

then 4 * 4 = 16

16 / 2 = 8

So i think its 8

Answer:

18%

Step-by-step explanation:

if i am right

it would be subtract 492- 600 = -108

make this a positive value so 108

and divide it by the actual made amount

108/600 which would be 0.18 multiply this by 100 and you have 18% !!

this is what i remember doing!  

let me know if it helped

Answer:

[tex]\huge\boxed{x=2\sqrt{286}}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have:

[tex]leg=x\\leg=15\\hypotenuse=37[/tex]

Substitute and solve for x:

[tex]x^2+15^2=37^2\\\\x^2+225=1269\qquad|\text{subtract 225 from both sides}\\\\x^2+225-225=1269-225\\\\x^2=1144\to x=\sqrt{1144}\\\\x=\sqrt{4\cdot286}\\\\x=\sqrt4\cdot\sqrt{286}\\\\x=2\sqrt{286}[/tex]

Answer:

I'd say it's C... that's shift on x-axis and the plus symbolizes the shift in the minus "region" because that's swapped you count how many steps you have to go to get to the zero.

Answer:

Step-by-step explanation:210 games

14+13+12... (x2)

The total number of games played is 182.

The number of possible arrangements for a given set is calculated mathematically using permutation, where the arrangement's order matters.

Given that, there are 14 teams and each team plays twice with the other team.

Since each team plays every other team twice, the total number of games is nothing but the permutation of 2 out of 14 which is given by:

₁₄P₂

=14!/((14-2)!)

= (14×13×12!)/ 12!

= 14×13

=182

Hence, the total number of games played is 182.

Learn more about the permutations:

https://brainly.com/question/1216161

#SPJ2

Answer:

yes

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

i just did it in edge hope this helps

Answer:

its c

Step-by-step explanation:

i just did it and got it right

Answer:

Step-by-step explanation:

Yes they are equivalent

Hope it helps!

*Gotta go fast*

Answer:

30

Step-by-step explanation:

Given:

The system of equations is

[tex]y=-6x+10[/tex]

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

To find:

The solution of given system of equations.

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

For [tex]y=-6x+10[/tex], slope is -6 and y-intercept is 10.

For [tex]y=-6x+3[/tex], slope is -6 and y-intercept is 3.

Slopes of both lines are but the y-intercepts are difference. So, the two lines are parallel.

Therefore, the given system of equation has no solution.

Answer:

an = 7 + 5n

Step-by-step explanation:

First we know that for each number of days rented the cost increase by 5 so we get an - (?) + 5n.

We also know the first number is 12 for 1 day, so for 0 days, or the starter cost, is 7. We get this by subtracting 5 from 12.

Hence the answer an = 7 + 5n

Answer:

Step-by-step explanation:

Answer:

This is true!

Step-by-step explanation:

It is natural because it is a positive integer greater than 0, it's whole because its not negative and it is an integer.

Answer: D

Step-by-step explanation:

Answer:

There's no options but it will get closed

Step-by-step explanation:

Answer:

Step-by-step explanation:

-75.5

Explicación paso a paso:

Dada la altura de una pelota que se lanza directamente hacia arriba con una velocidad de 40 pies / modelada por la ecuación y = 40t -16t ^ 2

La pelota alcanzó su altura máxima cuando la velocidad es cero.

La velocidad se expresa como dy / dt

dy / dt = 40 - 2 (16) t

dy / dt = 40 - 32t

A altura máxima, dy / dt = 0

0 = 40-32t

-40 = -32t

t = 40/32

t = 1,25 s

Para obtener la altura máxima alcanzada, sustituirá t = 1.25 en la función modelada de la altura como se muestra;

y = 40t - 16t ^ 2

y = 40 (1,25) - 16 (1,25) ^ 2

y = 50 - 25

y = 25

Por tanto, la altura máxima que alcanza la pelota es de 25 m

Queremos encontrar la altura máxima alcanzada por una pelota que es lanzada hacia arriba. Veremos que la altura máxima es 25 pies.

Sabemos que la ecuación de la altura es:

y = 40*t - 16*t^2

Podemos ver que es una parabola con un coeficiente lider (el que multiplica la variable al cuadrado) negativo. Esto sinifica que el maximo esta en el vertice.

Para una parabola general:

a*x^2 + b*x + c

El vertice está en:

x = -b/(2a)

Así que en nuestro caso, el vertice de y = -16*t^2 + 40*t está en:

t = -40/(2*(-16)) = 1.25

Para encontrar la altura maxima evaluamos la ecuación en este valor de t:

y = 40*1.25 - 16*(1.25)^2 = 25

Es decir, la altura máxima es 25 pies.

Sí quieres aprender más sobre parabolas, puedes leer:

https://brainly.com/question/12272972

Answer: a right triangle

Step-by-step explanation:

Answer:

9/8

Step-by-step explanation:

my work is in the picture. lmk if you'd like me to explain more

Answer:

1

Step-by-step explanation:

The zero of a liner function is where it crosses the x-axis

Answer:

(x+2)

Step-by-step explanation:

(2x+4) = 2(x+2)

x^2-4 = (x+2)(x-2)

H.C.F = (x+2)

Hope this helped!

Factor each expression separately.

2x + 4 becomes 2(x + 2).

x^2 - 4 becomes (x - 2)(x + 2).

The highest common factor is (x + 2).