Solve for the value of x.

Answer:

Seth:

Equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.

Karen:

Equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.

Part A: Converting it in function for by solving for y first.

Solving 7.50x + 15y = 750, equation we get

7.50x + 15y = 750

15y = -7.50x + 750

y = -1/2x + 50

Solving 6x + 4y = 700 for y, we get

6x + 4y = 700

4y = -6x + 700

y= -3/2x + 175.

On comaring with slope-intercept form y=mx+b, we got slope for Seth equation is -1/2 and slope for Karen is -3/2.

If we take absolute of those -1/2 and -3/2 we get 1/2 and 3/2.

Therefore, Karen has the higher slope. We can see the graph that blue line has greater slope as it's increasing/decreasing with greater rate.

In function form we could write equation as

f(x) = -1/2x + 50 and

f(x) = -3/2x + 175.

Part B : y-intercept of Karen equation is 175 and y-intercept of Seth equation is 50.

Therefore, Karen has greater y-intercept.

This means Karen earns $175 by just walking dogs.

Part C: If both students work 80 hours for the month.

Let us plug x =80 in each of the equations.

y = -1/2x + 50  => y = -1/2(80) + 50 = -40 +50 = $10.

Seth would earn $10 from mowing lawn.

Therefore, the number of lawns Seth has to mow = 10/15 = 0.67 that is approximately 1 lawn.

y = -3/2x + 175  => y = -3/2(80) + 175 = -120 +175 = $55.

Karen would earn $50 from walking dog.

So, the number of dogs Karne has to walk = 55/4 = 13.75 that ia approximately 14 dogs.

Therefore, the number of lawns Seth has to mow is less than the number of dogs Karen has to walk.

Part D: If Karen begins charging $8 per hour for babysitting and Seth begins earning $8 per hour.

The equations would become : 8x + 15y = 750, 8x + 4y = 700.

It would not effect the graph much. Even the y-intercepts would remain same.

There would be a slightly change in slopes.

Step-by-step explanation:

Answer:

If you see this give him brainliest

Step-by-step explanation:

Answer:

Best answer would be D

Step-by-step explanation:

For A, the statement is only true with x as 1

For B, other values for x can make the equation wrong

And for C, it's just wrong.

Answer:

Yes its 2nd, 4th, and 5th

Step-by-step explanation:

Answer:

21 Miles per gallon

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

7*3

Answer:Molly won't be able to pay for the purse because $14.95 plus 5 is $19.95 and Molly only has $10.00 so she won't be able to buy the purse.

Step-by-step explanation:

Answer: A. $5.70

Step-by-step explanation:

Answer:

Line one answers: -x^2.  2x^2.  0.  5x^2

Line two answers: -x^2.  12x^2.   -2x^2.   8x^2

Line three answers: 4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

Answer:

-x^2.  2x^2.  0.  5x^2

-x^2.  12x^2.   -2x^2.   8x^2

4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

Answer:

3z + y = 1

Step-by-step explanation:

.........................

Answer:

200-178=22

22/200*100=2200/200

2200/200=11

11%

Answer: 25

Step-by-step explanation: take the square inches and put it to the side... then multiply how many sides to the number of square inches and you got 25

Answer:

[tex]y = x +7[/tex]

Step-by-step explanation:

Given

[tex]Point\ (x_1,y_1) = (4,11)[/tex]

Perpendicular to [tex]y = -x + 14[/tex]

Required

Determine the line equation

An equation has the form

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

Where

[tex]m = slope[/tex]

By comparison with [tex]y = -x + 14[/tex]

[tex]m = -1[/tex]

Because the line is perpendicular to [tex]y = -x + 14[/tex], the following relationship exists

[tex]m_1 = \frac{-1}{m}[/tex] i.e. the condition for perpendicularity

Where m1 is the slope of the equation that passes through [tex]Point\ (x_1,y_1) = (4,11)[/tex]

So, we have:

[tex]m_1 = \frac{-1}{-1}[/tex]

[tex]m_1 = 1[/tex]

The line equation is then calculated using:

[tex]y - y_1 = m_1(x - x_1)[/tex]

Where

[tex]m_1 = 1[/tex]

[tex]Point\ (x_1,y_1) = (4,11)[/tex]

So, we have:

[tex]y - 11 = 1(x - 4)[/tex]

[tex]y - 11 = x - 4[/tex]

Add 11 to both sides

[tex]y - 11+11 = x - 4+11[/tex]

[tex]y = x - 4+11[/tex]

[tex]y = x +7[/tex]

The B, C and D parts of your question are not clear.

Apply the same steps used in (a) above and you'll get your answers

Answer:

0,8 euros

Step-by-step explanation:

Según la pregunta, 10 rotuladores cuestan ocho euros.

Ahora si

10 rotuladores cuestan 8 euros

1 marcador cuesta 1/10* 8 = 0,8 euros

Por tanto, cada marcador me costó 0,8 euros

Answer:

14v2-V-10

Step-by-step explanation:  you can look it up -for step by step

Answer:

dumyemimynumifgmfdhum

Answer:

38°

Step-by-step explanation:

[tex]m\angle 4 = 180° - [62\degree + (62\degree + 18\degree)] \\\\

m\angle 4 = 180\degree - [62\degree + 80\degree] \\\\

m\angle 4 = 180\degree -142\degree \\\\

m\angle 4 = 38\degree \\\\

[/tex]

Answer:

7/11

Step-by-step explanation:

sin(Ф)=cos(90-Ф)

∴cos(90-x) = 7/11

Answer:

10 x 3 + x 2 -7 x

Step-by-step explanation:

Answer: 10x^3

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  f(x) = 85(1 – 0.25)^x

Step-by-step explanation:

The growth rate is -25%, so the growth factor is 1-25% = 1 - 0.25.

Each increase in the number of previous owners causes the value to be multiplied by this growth factor, so the overall multiplier is (1 -0.25)^x

The value is the initial value times this multiplier:

  f(x) = 85(1 -0.25)^x . . . . matches the first choice

The function that represents the situation is f(x) = 85 (1 - 0.25)ˣ

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Let's call the resale value of the textbook after x owners as f(x). We know that the resale value decreases by 25% with each previous owner. This means that after the first owner, the resale value will be 75% of the original value.

After the second owner, it will be 75% of 75% (or 56.25%) of the original value.

Similarly, after the third owner, it will be 75% of 75% of 75% (or 42.1875%) of the original value, and so on.

Using this information, we can write the function f(x) as:

f(x) = 85 (0.75)ˣ

f(x) = 85(1 - 0.25)ˣ

where 85 is the original value of the textbook (when x = 0), and (0.75)ˣ represents the percentage of the original value after x owners.

Therefore, the function that represents the resale value of the textbook after x owners is described as f(x) = 85 (0.75)ˣ.

To learn more about the exponential decay;

https://brainly.com/question/14344314

#SPJ7

Answer:

5) DOY DOY TAMAIR

Step-by-step explanation:

IM TAMAIR YESSS

Answer:

Ooga booga

Step-by-step explanation:

Bc the name sounds cool.

Answer:

x=90 degree

y=30 degree

Step-by-step explanation:

Answer:

is there anymore to this problem

Answer:

d

Step-by-step explanation:

d should be kept with it

Answer:

The correct answer is the letter D. :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

the truck mover 3 km one way, 3 km back, so he moves 6 km

one way the truck needs 30 min, on the way back 20 min

so we have 6 km in 50 min

v=distance/time

v one way=3km/30 min=0.1 km/min

v on the way back=3 km/20min=0.15 km/min

v average =0.1+0.15=0.125 km/min

or 7.5 km/hour

Answer:

5. Slope = -2x

(Full system: y = -2x + 5)

6. Slope = -1/2x

(Full system: y = -1/2 +6)

Answer:

49 +1 =50 is the answer you are looking for

Given:

The equation of circle is

[tex](x+3)^2+y^2=9[/tex]

To find:

The polar form of given circle.

Solution:

We have,

[tex](x+3)^2+y^2=9[/tex]

[tex]x^2+2(x)(3)+(3)^2+y^2=9[/tex]        [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex](x^2+y^2)+6x+9=9[/tex]

Subtracting 9 from both sides, we get

[tex](x^2+y^2)+6x=0[/tex]

We know that, [tex]x^2+y^2=r^2[/tex] and [tex]x=r\cos \theta[/tex].

[tex]r^2+6(r\cos \theta)=0[/tex]

[tex]r(r+6\cos \theta)=0[/tex]

[tex]r=0[/tex] and [tex]r+6\cos \theta=0[/tex]

We know that, r is radius it cannot be 0. So,

[tex]r+6\cos \theta=0[/tex]

[tex]r=-6\cos \theta[/tex]

Therefore, the correct option is A.

Answer:

hcf of 105 ans 14 is 7

Step-by-step explanation:

please mark me as BRAINLIEST

Answer:

The gcf is 7

step-by-step

mark me brainliest plz

Answer:

      $1.60

Step-by-step explanation:

Set up an equation where you have the total oranges (o) on top and the cost (c) on the bottom. So you will have two fractions equaling each other. So you will have o/c=o/c. Now you just have to replace the variables with what you know. 9 oranges= $3.60, and you want to know how much 4 oranges cost. Since the cost per orange is the same, no matter how many oranges you buy if you divide the amount of oranges by the price you will always get the same number. So replace the variables with the numbers you know and you get,

9/$3.60=4/c

Now to solve an equal fraction problem, simply cross multiply (multiply the two numbers diagonal so 4 and 3.6), and divide (take the multiplied number and divide by the number remaining which will be the number diagonal from the variable) which gives you $1.60 for four oranges.