Andrew is starting his own snow plowing business. Andrew has calculated that he needs to earn $500 per week to support his family. If he knows he will only be able to work 50 hours per week, what is the minimum amount of dollars per hour that he will need to charge his customers?

Answer:

$45

Step-by-step explanation:

15 + (150 * 0.20)

15 + 30

$45

Answer:

x = [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x^2+x}[/tex] ← factor denominator

[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x(x+1)}[/tex]

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = [tex]\frac{9}{4}[/tex]

However, x ≠ - 1 for reason given above, then

solution is x = [tex]\frac{9}{4}[/tex]

9514 1404 393

Answer:

  15 minutes

Step-by-step explanation:

We can let t represent the time in hours that Kara ran today. Then her distance today is ...

  distance = speed · time

  distance = 6t

Her total distance for both days is ...

  5 + 6t = 6.5

  6t = 1.5 . . . . . . . . . . subtract 5

  t = 1.5/6 = 1/4 . . . . . divide by 6

Kara ran 1/4 hour today. That is 15 minutes.

Answer:

-6/5

Step-by-step explanation:

slope =coefficient of x

Answer:

7<x-5

12<x

x>12

Step-by-step explanation:

Answer:

(3x 2 + 5x - 8) = (3x+8)(x−1)

(x^2-3x + 2)= (x−1)(x−2)

Step-by-step explanation:

you just have to factor

Answer:

1) 11x-8

2)       x2-3x+2      

Step-by-step explanation:

if it is correct plz plz mark as brainliest

thank you

19NBoli

Answer:

x=4/9

Step-by-step explanation:

3(2x+8)=60x

6x+24=60x

6x+24-24=60x-24 -60x

-54x=-24

-54x= -24

x= 4/9

Answer:

94

Step-by-step explanation:

Average = sum of numbers /  number of items in the set

for the first list, the average is 90 and there are four numbers, the sum of the numbers is 90 x 4 = 360

If the 4th number is 80, the sum of the first 3 numbers = 360 - 80 = 280

so the sum of the first three numbers on the second list is 260. The fourth number is 96. The sum of the numbers = 280 + 96 = 376

Average of the new list = 376 / 4 = 94

Answer:

x=number of rides taken

y=number of tickets left

60=4(x)+y

Answer:

a = 1/2 (b) (h)

Step-by-step explanation:

Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2

Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2

Find your base: 8+x=b

Find entire area: a = 1/2 (b) (h)

Answer:

160 hope this work!!! love

Answer:

yes,  point (4, 25) satisfies the equation y = 7x + –3

Step-by-step explanation:

to see if the point satisfies the equation, we need to plug in the x coordinate to get y

if y is equal to the y-coordinate, then the point satisfies the equation

if y does not equal the y-coordinate, then the point does not satisfy the equation:

y = 7(4) + - 3

y = 28 + -3

y = 25

does 25 = 25? Yes! so the point satisfied the equation

Answer:

yes

Step-by-step explanation:

7(x)- 3 = y

7(4) - 3 = (y)

28 - 3 = 25

Answer:

£1.92

Step-by-step explanation:

3.36/14 will give you the cost of each pencil

£0.24 is the cost of one pencil

8 pencils will cost you £1.92

Answer: plane a because it was 10.46 miles away

Step-by-step explanation:

Answer:

Step-by-step explanation:

a+b=36

lets name the 2 numbers a,b

b=a+18

a+a+18=36

2a=36-18

2a=18

a=9

b=27

Answer:

the numbers are 9 and 27

Step-by-step explanation:

equation to the problem: x+y=36

one number (y) is 18 times greater than the other number (x): x+18=y

plug in the 2nd equation to the first equation (systems of equations):

x+(x+18)=36

solve the equation:

2x+18=36

*minus 18 on both sides*

2x=18

*divide the whole equation by 2 to get the value of just one x*

x=9

since variable x is the n smaller number, add 18 to 9 to get the 2nd number:

18+9= 27

y=27

This is a special kind of right triangle, called a 30-60-90 triangle.

Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.

Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.

2x = 6

x = 3

Then, we are looking for the side opposite of the 60 degree angle. So its value is  x[tex]\sqrt{3}[/tex].

x = 3

3 *  [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]

y =  3[tex]\sqrt{3}[/tex] (option D)

Hope this helps!! :)

The value of y for the given triangle will be  3√3, hence option (D) will be correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

Right angle triangles are triangles in which one angle is 90°.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Given a right-angle triangle

Let the side opposite to 30° is perpendicular and the remaining y will be base.

By trigonometric relation

cosx = base/hypotenuse

cos30° = y/6  

y = 6 × cos30°  ⇒  y = 6 ×  √3/2

y = 3√3 hence the value of the hypotenuse or y will be 3√3.

For more about triangles,

https://brainly.com/question/2773823,

#SPJ2

Answer:

234

Step-by-step explanation:

1950 x 0.88 = 1716 paid

1950-1716 = 234

Answer:

Yes

Step-by-step explanation:

function

A set of ordered pairs where each first element is paired with one and only one second element and no element in either pair is without a partner.

Answer:

2/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-6)/(-6-4)

m=-4/-10

simplify

m=2/5

Answer:

Step-by-step explanation:

Slope is m=(y2-y1)/(x2-x1)

m=(2-6)/(-6-4)

m=-4/-10

m=2/5

Answer:

1. 14x

2. 5x + 3x

Step-by-step explanation:

1) 4x + 10x = 14x

2) By "like-terms" the question means that the expression contains the same variable part. Therefore, the only expression that meets that is 5x + 3x.

Step-by-step explanation:

Length : 7cm

Breadth : 5cm

Area of a rectangle :

Length × Breadth

[tex]Area = 7cm \times 5cm \\ = 35 {cm}^{2} [/tex]

Answer:

15

Step-by-step explanation:

Answer:

4r^12 t^2

Step-by-step explanation:

Use the exponants : ( 8r^6t^3 )/4t^2

simplifie :( 2r^6t^3 )/t^2

Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2

Answer:

Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!

Answer:

A and D

Step-by-step explanation:

because they pass through the origin