You have a budget with room for no more than 30% of your take-home pay
for rent. Your take-home pay is $2,400 per month. How much can you
afford to pay for rent per month? *

Let's consider what the problem wants us to find:

Let's find the fractional part:

  ⇒ the fractional part is equal:

       [tex]\frac{degree-covered-by-angle}{total-angle} =\frac{100}{180} =\frac{2*2*5*5}{2*2*3*3*5} =\frac{5}{3*3} =\frac{5}{9}[/tex]      

 Answer: The angle 100 degrees covers 5/9 of a semicircle.

Let's find the angle measure in radians:

⇒ we know that [tex]2\pi[/tex] radians are equal to 360 degrees

   ⇒ to convert any degree to radians, you must multiply [tex]\frac{\pi }{180}[/tex]

       so [tex]100*\frac{\pi }{180} =\frac{100\pi }{180} =\frac{10}{18} \pi =\frac{5}{9} \pi[/tex]

Answer: The angle 100 degrees in radians is [tex]\frac{5}{9} \pi[/tex]  which in terms of [tex]\pi[/tex] is

5/9

Hope that helps!

Answer:

17.9 m^3

Step-by-step explanation:

Answer:

a = - 2, b = 5

Step-by-step explanation:

expand the right side using FOIL and compare the coefficients of like terms on both sides.

(x + a)² + b

= x² + 2ax + a² + b

compare terms with x² - 4x + 9

coefficients of x- term

- 2a = 4 ( divide both sides by - 2 )

a = - 2

compare constant terms

a² + b = 9

(- 2)² + b = 9

4 + b = 9 ( subtract 4 from both sides )

b = 5

Answer:

x = -1

Step-by-step explanation:

You have:

[tex]\frac{3}{2x-1} =\frac{1}{x}[/tex]

Multiply both sides by 'x' to get:

[tex]\frac{3x}{2x-1} =1[/tex]

Multiply both sides by (2x-1) to get:

[tex]3x=2x-1[/tex]

Subtract 2x on both sides to get:

[tex]x=-1[/tex]

Answer:

−5

Step-by-step explanation:

−5x+6

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

 is nax

n−1

.

−5x

1−1

Subtract 1 from 1.

−5x

0

For any term t except 0, t

0

=1.

−5

Evaluate

6−5x

Answer: C

Step-by-step explanation:

9z

hope it reall helps...!!!

Answer:

1. x² - 16x = -12

2. x² - 16x + 64 = -12 + 64

3. (x - 8)² = 52

4. x - 8 = ± √52

5. x = 8 ± √52

6. x = 8 ± 2√13

Step-by-step explanation:

1. Move the constant to the other side of the equation:

x² - 16x +12-12 = 0-12

x² - 16x = -12

2. Find the new value of c by using the formula [tex](\frac{b}{2} )^{2}[/tex]

[tex](\frac{-16}{2} )^{2}\\\\(-8)^{2} \\\\c =64[/tex]

3. Plug the new value of c into the equation. Make sure to add it to both sides of the equation, because if you do something to one side, you must do it to the other:

x² - 16x + 64 = -12 + 64

x² - 16x + 64 = 52

4. Form a perfect sqaure by factoring -16 and 64 by figuring out two numbers that have a sum of -16 and a product of 64:

-8 + (-8) = -16
-8 · (-8) = 64

(x - 8)²

Plugging this into the equation:

(x - 8)² = 52

5. Take the square root of both sides:

√(x - 8)² = √52

x - 8 = √52

6. Isolate x:

x - 8+8 = 2√52+8

x = 8 ± 2√52

52 can be squared, so:

x = 8 ± 2√13

hope this helps!

Answer:

525 sit-ups

Step-by-step explanatiSince there are 7 days in a week, and there are 3 weeks, you can multiply 7 * 3 = 21 to find out how many days Joe is doing situps. Next, you need to multiply the number of situps per day by the number of days: 25 * 21 = 525. Joe will do 525 situps in 3 weeks.

Hope this helps! :)

A rectangle is a 2-dimensional shape with equal opposite sides. The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

A rectangle is a 2-dimensional shape with equal opposite sides.

Area of a rectangle = Length * width

Given the following parameters:

length = 5/6  yard

width = 2/3

Find the area

Area = 5/6 * 2/3
Area = 5/9 square units

The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

Learn more on area of rectangle here: https://brainly.com/question/2607596

Answer:

4.61

Step-by-step explanation:

I saw another question that had 3 and 3 and that question's answer was 4.24, so i multiplied the 0.5 and got 4.61

Answer:

A is the answer hope this helps

Answer:

x = 4; y = 8

Step-by-step explanation:

y=2x

y=x+4

2x = x + 4

x = 4

y = 2x = 2(4)

y = 8

Solution: x = 4; y = 8

Answer:

Step-by-step explanation: I failed to get this right for yall XD

The equation of line is y = ( 1/2 ) mv² , where m is the mass of the student and y is the kinetic energy

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let y represent the kinetic energy and mass is m

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The equation for kinetic energy is K = ( 1/2 )mv²

The constant speed v = 3 m/s

So , the linear equation is

y = { 121.5 , 162 , 202.5 , 243 , 288 , 328.5 }

x = { 27 , 36 , 45 , 54 , 64 , 73 }

The slope m = y / x

On simplifying , we get

m = 121.5 / 27 = 4.5

And , the equation of line is

y - 121.5 = 4.5 ( x - 27 )

Adding 121.5 on both sides , we get

y = 4.5x

Now , plotting the points on the graph , we get a straight line

Hence , the equation of line is solved and the graph is plotted

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ3

Answer:

2x²+x+1

Step-by-step explanation:

you are adding the functions  together so it is collecting like terms

        6x+1

+ 2x²-5x      

 2x²+x+1

Answer:

Sue cannot afford to split the cost of a new TV as she only has $281.23 in her bank account after transactions. She has to contribute $302.22 and she doesn't have enough money.

Explanation:

Item                                                        Debit Credit  Balance

Bank balance before transactions                     899.83

Rent                                                 353.76            546.07

Video game                                           32.79            513.28

Bike maintenance                                   60.26           453.02

Jacket                                                   55.62           397.40

Rug                                                           80.40            317 .00

Night out                                           35.77            281.23

Sues bank balance after all the transactions is $281.23

Step-by-step explanation:

Step-by-step explanation:

I think it will help you.

The image above will help you

Answer:

None

Step-by-step explanation:

If first one was shifted letward so the vortex was at (0.80), that would be the correct option, but not how it is not.

Answer:

B is 6

Step-by-step explanation:

When y is zero the x on the other side will represent B, because that would be the Y-intercept

Answer:

I think this is the right answer.

Step-by-step explanation:

Ship A is 2.653 miles from the island and ship B is 2.981 miles away from the island.

Answer:

C.

Explanation:

If we had the final value of C, we would be able to determine whether or not the ABCD is parallelogram. Hope this helps you out!!

Answer:

it must not be a parallelogram because it's angle is not supplementary

Answer:

The measure of angle CXA is 134°

Step-by-step explanation:

* Lets explain how to solve the problem

- Triangle ABC is an isosceles triangle where AB = BC

∵ AB = BC

- The base angles in the isosceles triangle are congruent

∴ m∠BAC = m∠BCA

∵ m∠ BCA = 46° ⇒ given

∴ m∠ BAC = 46°

- The sum of the measures of the interior angles in any triangle is 180°

∵ m∠BAC + m∠BCA + m∠ABC = 180°

- Substitute the values of angle BAC and BCA in the equation above

∴ 46 + 46 + m∠ABC = 180

∴ 92 + m∠ABC = 180

- Subtract 92 from both sides

∴ m∠ABC = 88°

- BF , AD , CE are bisectors segments of angles B , A , C and they are

 intersected at point X

∵ CE bisects ∠BCA

∵ X ∈ CE

∴ m∠XCA = 1/2 m∠BCA

∴ m∠XCA = 1/2 (46) = 23°

∵ AD bisects ∠BAC

∵ X ∈ AD

∴ m∠XAC = 1/2 m∠BAC

∴ m∠XAC = 1/2 (46) = 23°

- In Δ AXC

∵ m∠XAC = 23° ⇒ proved

∵ m∠XCA = 23° ⇒ proved

∵ m∠CXA + m∠XAC + m∠XCA = 180° ⇒ interior angles of Δ

Substitute the values of angles XAC and XCA

∴ m∠AXC + 23 + 23 = 180

∴ m∠CXA + 46 = 180

- Subtract 46 from both sides

∴ m∠CXA = 134°

* The measure of angle CXA is 134°

Answer: I also have this question and because everybody is saying 134 I believe it is 132. So I hope this helps.

P.S If possible please mark it as the brainliest. thanks

Answer:

1 box of spark plugs, 3 air filter boxes, 1 oil filter box, and 5 boxes of engine oil

Step-by-step explanation:

the max amount of services that can be done is about 20 per week, including the one on Saturday. so u just multiply the amount needed by the 20 possible services and check to see the amount that comes in each box, then get as many as needed

Answer:

7620

Step-by-step explanation:

A = P(1 + rt)

A = 6000(1 + (0.045 × 6)) = 7620

calculatorsoup

Explanation:

For

6

books, that means we have

6

spots to put them in.

Our first book has

6

spots it can be in.

Our second book will now have

5

, since one is taken up by the first spot.

The next will have

4

, then

3

,

2

, and

1

. Thus, we can model the number of arrangements as

6

⋅

5

⋅

4

⋅

3

⋅

2

⋅

1

=

6

!

=

720

Therefore, we have

720

ways of arranging

6

books on the shelf.

Hope this helps!

Step-by-step explanation:

= ( 3x + 5 ) ( 4x² + 8x + 40 )

= 3x ( 4x² + 8x + 40 ) + 5 ( 4x² + 8x + 40 )

= 12x³ + 24x²+ 120x + 20x² + 40x + 200

= 12x³ + 24x² + 20x² + 120x + 40x + 200

= 12x³ + 44x² + 160x + 200

Answer:

12x^3 +44x^2 +160x +200

Step-by-step explanation:

Distribute:

(3x+5)(4x^2 +8x+40)

3x(4x^2 +8x+40) +5(4x^2 +8x+40)

Then it would be:

(12x^3 +24x^2 +120x) + (20x^2 + 40x +200)

therefore the soloution is:

12x^3 +44x^2 +160x +200