A student has two part-time jobs. He earns $8.50 per hour for babysitting and $11.50 for each lawn he mows. If the student babysits for 512 hours and mows 7 lawns, how much money will he earn?

Answer:

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

Step-by-step explanation:

Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.

To find - He asked his students to create an equation or inequality with

              this value as a solution.

Proof -

Given that, The value statement is ''x = 2''

We have to find out that equation in such a way that if we solve the equation , we get the value x = 2

There can be infinite many equation that give the value statement '' x = 2''

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

And many more.

Verification -

1. 2x = 4

⇒x = [tex]\frac{4}{2}[/tex]

⇒x = 2

Verified

2. 3x + 9 = 15

⇒3x = 15 - 9

⇒3x = 6

⇒x = [tex]\frac{6}{3}[/tex]

⇒x = 2

Verified

3. x + 5 = 7

⇒x = 7 - 5

⇒x = 2

Verified

4. 5x - 2 = 8

⇒5x = 8 + 2

⇒5x = 10

⇒x = [tex]\frac{10}{5}[/tex]

⇒x = 2

Verified

Answer:

17 units

Step-by-step explanation:

Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.

Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg.  We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:

d = √(15² + 8²) = √289 = 17

The distance between the given points is 17 units.

Answer:

X= 0 and -4

Step-by-step explanation:

Answer:

the area of the trapezoid is (8 + 4).3/2 = 18

Answer:

18

Step-by-step explanation:

khan

Answer:

3 both sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

-6 3/5 - (-7 4/15) + 2 1/5

Combine the first and third terms first

-6 3/5 + 2 1/5 = - 4 2/5

Now deal with the second term

- (- 7 4/15) = 7 4/15

7 4/15 - 4 2/5      

7 4/15 - 4 6/15           Add 15/15 to 7 4/15 Subtract 1 from the 7

6 19/15 - 4 6/15

2 13/15

Answer:

3600

Step-by-step explanation:

125%=4500

5*25%=4500

25%=900

125%-25%=100%

4500-900=3600

Answer:

21

28/75%=28

there ya go

Answer:

26 is the correct answer

Answer:

His sister is 10?

Step-by-step explanation:

Because if he's 16 then she's 10

Answer:

the other person is right hope this cockledodledoes your day

Answer:

x=4

Step-by-step explanation:

Answer:

92 minutes

Step-by-step explanation:

"Roughly" 17,150 miles per hour

(which is about 5 minutes per second)

this means that the space station orbits Earth once every 92 minutes.

hoped that helps you and God bless

Answer:

60 squared cm

Step-by-step explanation:

If half of the top of the shape is 3, that means the whole top is 6.

6 x 10 = 60

Area = Length x Width

Answer:

24cm

Step-by-step explanation:

The ribbons they both have can be found by adding 15 to 9

15 + 9 = 24cm

the whole thing? not sure

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

Answer: 216.8$

Step-by-step explanation:

25 x 9.9 = 247.5

247.5 - 30.70 = 216.8

Answer:

You simply take the values away from 180°.

a) 180-85-65 = 30°

b) 180-37-63=80°

c) 180-52-78=50°

d) 180-102-58=20°

e) 180-100-60=20°

f) 180-105-25=50°

g) 180-127-23=30°

Answer:

3.14

Step-by-step explanation:

Radius = 1

1^2 times pi = 1 pi

1 pi is about = 3.14

Complete Question:

You're planning to buy a new computer, monitor, and printer for your office. You've received the following prices from two stores:

Store 1                                                        Store 2

Computer: 2,500                                     Computer: 2,350

Monitor: 595                                            Monitor: 435

Printer: 398                                              Printer: 349

Find the total package price from each store and then calculate how much you'll save if you purchase the less expensive package.

Answer:

[tex]Total = 3493[/tex] --- Store 1

[tex]Total = 3134[/tex] --- Store 2

[tex]Saved = 359[/tex]

Step-by-step explanation:

From store 1, the total cost is:

[tex]Total = 2500 + 595 + 398[/tex]

[tex]Total = 3493[/tex]

For store 2, the total cost is

[tex]Total = 2350 + 435 + 349[/tex]

[tex]Total = 3134[/tex]

By comparison: It is cheaper to buy from store 2

Because [tex]3134 < 3493[/tex]

Amount saved is calculated by subtracting the cheaper cost from the expensive cost:

i.e.

[tex]Saved = 3493 - 3134[/tex]

[tex]Saved = 359[/tex]

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Answer: Screenshot below!

I hope this helped!

<!> Brainliest is appreciated! <!>

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Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

The length of the arc is approximately 2.09

From the question, we have the following parameters

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

The line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

Determine the subtended angle

The angle subtended by the arc is expressed as:

θ = 2 × arctan((√3/2)/(1/2))

θ = 120°

The circumference of the circle, C = 2·π·r

C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.09

The length of the arc is approximately 2.09

Learn more on length of an arc here:https://brainly.com/question/2005046

[tex]8 \frac{9}{18} [/tex]

Answer:

C, you can use rotations to describe a change in the position of a figure.

Answer:

(-2, 5), 6, 12

Step-by-step explanation:

Center: (-2, 5)

Radius: 6

Diameter: 12

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

Answer:

n = 15

Step-by-step explanation:

A straight line equals 180 degrees

Angle SWT is congruent to angle XWV meaning:

SWT (55 degrees) = XWV (55 degrees)

Set up an equation:

3n + 80 + 55 = 180

Combine like terms

3n + 135 = 180

Subtract both sides by 135 to isolate variable n

3n = 45

Divide both sides by 3 to isolate variable n

n = 15

9514 1404 393

Answer:

  y = 7/3x +13/3

Step-by-step explanation:

The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m = -1/(-3/7) = 7/3

The y-intercept of the perpendicular line can be found from ...

  b = y -mx

  b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3

Then the slope-intercept equation of the perpendicular line is ...

  y = mx +b

  y = 7/3x +13/3

_____

Additional comment

You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...

  y -k = m(x -h)

For our perpendicular line, the equation is ...

  y +5 = 7/3(x +4)

Answer:

752÷2= 376

52÷2÷ 26

376- 26= 350 adult tickets

376+26= 402 student tickets