Thank you guys for helping me. I need help on this one

Answer:

Data that we know:

He drove 504km in each direction.

Going, the average speed was 14km/h more than returning.

The total trip lasted 21 hours.

Ok, to solve this first:

Let's define the variables:

Sg = Average speed when going.

Sr = Average speed when returning.

Then we can write one of our relationships as:

Sg = Sr + 14km/h.

Now, you can recall the relation:

Time = Distance/speed.

Then we can write the equation that represents the total time of the travel as:

504km/Sg + 504km/Sr = 21h

Now we can replace the Sg by Sr + 14km/h, and get:

504km/(Sr + 14km/h) + 504km/Sr = 21h.

Now we must multiplacate by each denominator, in order to remove them:

504km*Sr + 504km*(Sr + 14km/h) = 21h*Sr*(Sr + 14km/h)

Sr*1008km + 7056km^2/h = 21h*Sr^2 + 294km*Sr

Now we can write a cuadratic equation, where i will ignore the units so it is easier to read, as:

21*Sr^2 -714*Sr - 7056 = 0

The solutions are given by the Bhaskara formula:

[tex]Sr = \frac{714 +- \sqrt{714^2 - 4*21*(-7056)} }{2*21} = \frac{714 +- 1050}{42}[/tex]

We have two solutions, one negative and one positive, and because Sr represents an average speed, it must be a positive number, then we choose the positive solution:

Sr = (714 + 1050)/42  km/h = 42km/h

Now we have the average speed for the returning, with this we can find Sg.

Sg = Sr + 14km/h = 42km/h + 14km/h = 56km/h.

Answer:

14

Step-by-step explanation:

Answer:

it would be negative (-8)

Step-by-step explanation:

-5.8 + -2.2 = -5.8 - 2.2

this would result in a negative number (-8)

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No buddy you are wrong .

Look ;

(( Left table )) :

[tex] \frac{y}{x} = 6 \\ [/tex]

[tex] \frac{48}{8} = 6 \\ [/tex]

[tex] \frac{60}{10} = 6 \\ [/tex]

[tex] \frac{72}{12} = 6 \\ [/tex]

Thus it is proportional .

_________________________________

(( Right table )) :

[tex] \frac{y}{x} = \: .... \\ [/tex]

[tex] \frac{12}{6} = 2 \\ [/tex]

[tex] \frac{28}{7} = 4 \\ [/tex]

[tex] \frac{68}{8} = 8 \\ [/tex]

_________________________________

Thus the left table is proportional and

y is 6 times x in it.

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Answer:

-0.375

Step-by-step explanation:

Way one(the harder one):

Let the line which passes through (1,4) and (9,1) be f(x)=kx+b

Sub (1,4) and (9,1) in and we get [tex]\left \{ {{4=1k+b} \atop {1=9k+b}} \right.[/tex]

=> (9k+b)-(k+b)=1-4

                   8k=-3

                     k=-3/8 or -0.375

Therefore the slope of the line is -3/8 or -0.375

Way two(the easier one):

k= [tex]\frac{change in y}{change in x}[/tex] = [tex]\frac{1-4}{9-1}[/tex] = -[tex]\frac{3}{8}[/tex]

Answer:

All of the above

Step-by-step explanation:

Answer:

2 people must rent the room in hotel B to make the charges the same

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

TO find the slope pick two points and do y2 - y1 / x2 - x1

I picked the first two:

2 - 8/ -1 - -2 = -6/ 1 = -6

The slope of the given line is - 6 as per slope-intercept form.

The linear equation y = mx + c represents the slope-intercept form of a line passing through the point (x, y).

Here, 'm' is the slope and 'c' is the y-intercept of the given line.

The slope of a line that passes through points (x₁, y₁) and (x₂, y₂) is defined as:

m = (y₂ - y₁)/(x₂ - x₁)

Therefore, the slope of a line that passes through (-2, 8) and (-1, 2) is

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

= - 6/1

= - 6

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Answer:

the equation is 80×9=720 20×4=80 and if you add them together you get 800

Answer:

3x

Step-by-step explanation:

Answer:

3x

Step-by-step explanation:

1+2=3

so 1X+2x=3x

Answer:

I think my calculator broke and it gave me 1e49

The correct answer for this question is .1.

Answer:

1/12

Step-by-step explanation:

i did 3x4=12 so you only need 1/12

Answer:

m=6

Step-by-step explanation:

4(m+3) = 36

4m + 12 = 36

4m + (12 -12) = (36 -12)

4m = 24

4m/4 = 24/4

m = 6

Answer:

5 defensores

Step-by-step explanation:

La pregunta correcta es la siguiente;

Hay 32 delanteros y 80 defensas en la liga de baloncesto de Leo. Leo debe incluir a todos los jugadores en un equipo y quiere que cada equipo tenga el mismo número de delanteros y el mismo número de defensas. Si Leo crea el mayor número de equipos posible, ¿cuántos defensas habrá en cada equipo?

Responda como sigue;

Ahora queremos saber el número de defensas que deberíamos tener por equipo.

La respuesta a esta pregunta es simplemente encontrar la relación entre el número de delanteros y el número de defensores.

matemáticamente,

eso sería 32:80 = 2: 5 Entonces esto significa que por cada 2 delanteros en un equipo, debería haber 5 defensores

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So first we will do 180-152 to get the measure of the angle besides the angle. That'll give us 28, then we know that those base angles of this mini triangle are congruent so we will do 28+28 to get 56. Now we will do 180-56 to get the last angle of the triangle, which is 124. And this angle is the same as the angle with x because they are corresponding angles so x is 124°.

Answer: 3/20

Step-by-step explanation:

12/80 is simplified to 3/20

Answer: The answer is D

Step-by-step explanation: Add them all up and you get 80 then 12/80 divided by 4 is 3/20

Answer: The number of trading cards each friend ended up with

Step-by-step explanation:

Given that:

Total Number of trading cards = 79

Number of friends = 6

Number of trading cards each friend got of shared equally :

Total Number of trading cards / number of friends

= 79 / 6

= 13.166

Highest number of cards got by each = 13

Number left : 79 - (13 * 6) = 1

Hence, 13 represents the number of trading cards each friend ended up with

Answer:

x=6

Step-by-step explanation:

4x+5=6x-7

4x-6x=-7-5

-2x=-12

x=-12/-2

x=6

Answer: x=6

Isolate the variable by dividing each side by the factors that don't contain variables

Answer:

The answer is 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Am equation with infinite number of solution means that the equation has uncountable solutions.

Let's analyse each options

For the expression 3x-1 = 3x+1

Collect like terms

3x-3x = 1+1

0x = 2

Divide both sides by 0

x = 2/0

x = infinity

This shows that the expression 3x-1 = 3x+1 has infinite number of solution

Also considering the third expression

3(x-1) = 3x+3

Open the parenthesis

3x-3 = 3x+3

Collect like terms

3x-3x = 3+3

0x = 6

x = 6/0.

x = infinity

Thus also shows that expression 3(x-1) = 3x+3 has infinite number of solution.

3x-1 = 3x+1

3(x-1) = 3x+3

Answer:

when x= -4, y= 2

when x= 6, y =7

Step-by-step explanation:

We have the x values, so we can plug them in and solve. for the first problem, it becomes y =1/4 (-4)^2 -2

first we do the exponent

y= 1/4 (16) - 2

Then the multiplication

y= 4-2

then subtraction

y=2

For the second problem, it becomes y= 1/4 (6)^2 -2   We follow the same steps

y = 1/4 (36) - 2

y= 9-2

y= 7

The function y = 1 *2 - 2 for the given values of x are

when x= -4, y= 2

when x= 6, y =7

We have the x values, so we can plug them in and solve. for the first problem, it becomes y =1/4 (-4)² -2

First we do the exponent

y= 1/4 (16) - 2

Then the multiplication

y= 4 - 2

then subtraction

y = 2

For the second problem, it becomes y= 1/4 (6)² -2   We follow the same steps

y = 1/4 (36) - 2

y = 9 - 2

y = 7

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Answer:

Scew option D

Step-by-step explanation:

I have the same test

When lines are not parallel, and they do not intersect, such lines are said to be skewed.

Line AC and RS are skew.

From the diagram, we have two planes.

Line AC is on plane x, while line RS is on plane y.

This means that both lines are non-coplanar

Planes x and y are not parallel;  so lines AC and RS are not parallel.

Using the condition of skewness stated above, we can conclude that line AC and RS are skew.

See attachment for plane x and plane y

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Answer:

-$22.80.

Step-by-step explanation:

The 4 meals cost 4.25 * 4 = $17 which gives him a new balance of  

14.20 - 17 -20

= -$22.80.

Answer:

the second answer is wrong, and the rest is all correct

Step-by-step explanation:

The GCF has to be the largest factor they share, but it's not necessary for it to be large.

Answer:

each number must share the factor.

the greatest common factor could be one.

the number must be the largest factor both share.

Step-by-step explanation:

Answer:

B. This relationship represents a function because no length of ribbon has more than one price.

Step-by-step explanation:

A relation is considered as a function when there is exactly just one possible range value that any of the domain value can give. In order words, each domain value of a function cannot have more than one range value.

In the given table of values representing the length and price of ribbon, the domain includes all the set of lengths of the ribbon while the range is the set of the corresponding prices the lengths can cost.

Thus, each length given has exactly just one price. No particular length has more than one price. Therefore, we can consider this as a function.