We are painting a rectangular wall of a large room. The dimensions of the wall are 35feet long and 21.5 feet wide. If the total cost of the paint was 421.40 what was the cost in dollars of the paint rounded to the nearest cent

Answer:

y = 1/2x + 4

Step-by-step explanation:

If it's parallel, then the slope will remain the same.

To find the y-intercept, you have to plug the coordinates into the equation.

y = 1/2x + b

6 = 1/2 (4) + b

6 = 2 + b

4 = b

Answer:

A)  x + 6 = 16

Step-by-step explanation:

Answer:

I think its A no is correct x ± 6 = 16

Answer:

Percent of change each year = 5%

Step-by-step explanation:

P.S - The exact question is -

Given - The number of carbon atoms in a fossil is given by the function,

             y (x)= [tex]5100(0.95)^{x}[/tex], where x represents the number of years since

             being discovered.

To find - What is the percent of change each year? Explain how you arrived

              at your answer

Proof -

Given that, the number of carbon atoms in a fossil is y(x) = [tex]5100(0.95)^{x}[/tex]

Initially, the number of fossils be

y(0) = [tex]5100(0.95)^{0}[/tex] = 5100

After 1 year, The number of fossils be

y(1) = [tex]5100(0.95)^{1}[/tex] = 5100(0.95) = 4845

Now,

Change in 1 year = y(0) - y(1) = 5100 - 4845 = 255

Now,

Percent of chance  = [tex]\frac{255}{5100}[/tex] × 100%

                                = 0.05 × 100%

                                = 5%

⇒Percent of chance = 5%

∴ we get

Percent of change each year = 5%

Answer:

[tex]EF=4\sqrt{3}[/tex]

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

[tex]A_{\text{rect}}=8(6)=48\text{ cm}^2[/tex]

The area of the triangle is 1/4 of this. Therefore:

[tex]\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2[/tex]

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

[tex]\displaystyle 12=\frac{1}{2}(DE)(DF)[/tex]

Since DE = DF:

[tex]24=DF^2[/tex]

Thus:

[tex]DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE[/tex]

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

[tex](DE)^2+(DF)^2=(EF)^2[/tex]

Therefore:

[tex](2\sqrt6)^2+(2\sqrt6)^2=EF^2[/tex]

Square:

[tex]24+24=EF^2[/tex]

Add:

[tex]EF^2=48[/tex]

And finally, we can take the square root of both sides:

[tex]EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}[/tex]

Answer:

4\sqrt3

Step-by-step explanation:

we know that the area is 6 * 8 = 48 cm^2. because triangle DEF is one fourth of that, triangle DEF's area would be 12.

to find the hypotenuse of triangle DEF, we would first need to find the bases (which have equal lengths). 1/2 * b * b = 12, so b^2 = 24. using the pythagorean theorem, we have \sqrt24 + \sqrt24 = h^2 which means h is the sqrt of 48. simplified, we have 4\sqrt3.

Answer:

Yes

Step-by-step explanation:

The idea is to use the formula for perpendicular gradients,

meaning m1 * m2 = -1

Since L2 passes through 2 points and to find gradient we just need 2 points,

we can use the 2 given points given

L2 gradient is (9 - (-7)) / (7 - (-1)) = 16/8 = 2

x + 2y = 4 rewrite as  y = -(0.5)x + 2

so our m1 is -0.5 and m2 is 2

-0.5 * 2 = -1  which was what we wanted to show.

L1 and L2 are perpendicular

Yes, Michael is correct.

Thew lines L1 and L2 are perpendicular.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The straight line L1 has equation x + 2y = 4.

y = -x/2 + 2.

The straight line L2 passes through the points (-1, -7) and (7, 9).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = 16/8

m = 2

Slope of L1 = -1/2 and slope of L2 = 2.

The slope of the lines are negative reciprocal of each other.

That means, the lines are perpendicular.

Therefore, lines are perpendicular.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

Answer:

2 dozens, $41

Step-by-step explanation:

Given data

Man Street Florist charges

$18 for a dozen roses and a

$5 delivery fee

let the number of dozens be x

and the total charge for x dozens be y

hence

y= 18x+5--------------1

Blooms and Bouquets

charges $20 for a

dozen roses and a $1

delivery fee.

let the number of dozens be x

and the total charge for x dozens be y

hence

y= 20x+1 -------------2

Equate 1 and 2 we have

18x+5=20x+1

20x-18x= 5-1

2x= 4

x= 4/2

x= 2

Hence the number of dozens is 2

the cost is (put x= 2 in eqn 1 or 2)

y= 20(2)+1

y= 40+1

y= $41

9514 1404 393

Answer:

  MP = 38

Step-by-step explanation:

Each of the lengths MP, NP, OP is the radius of the incircle, so they are all congruent.

  3x +14 = 9x -34

  48 = 6x . . . . . . . . . . . . . . add 34-3x to both sides

  24 = 3x . . . . . . . . . . . . . . divide by 2 (we don't need x; we need 3x or 9x)

  NP = 3x +14 = 24 +14 = 38

  NP = OP = MP = 38

Answer:

92.5

Step-by-step explanation:

Step-by-step explanation:

step 1. since we have a right triangle we can use trigonometry

step 2. <A: 5 is the opposite and 8 is the hypotenuse so we use sine

step 3. sinA = opp/hyp = 5/8

step 4. A = 38.68° using inverse sine on your calculator.

Answer: 6 cubic feet

hope this helps :}

answer

n = 300 + 4.2(n).

Answer:

Answer:

5 text messages

Step-by-step explanation:

Given data

The total number of text= 25

20% of the text message were to your best friend

Let us find 20% of 25

=20/100*25

=0.2*25

=5

Hence the number of text sent to your best friend is 5 text messages

Answer: You would need 3 years till the total value is less than the 2,000.

Step-by-step explanation:

Year 1.) 1,500

Year 2.) 1,125

Year 3.) 843.75

Answer:

Hanno moves faster than Simone.

Step-by-step explanation:

Simone: 25x100=2500m or 2.5km in 25x12=300 seconds or 5 minutes

Hanno- 2.5 km in 4minutes

So, Hanno moves 1 minute faster.

Please mark as brainliest.

Answer:

24

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Use the slope formula and slope-intercept form  y =  m x  +  b  to find the equation.

Hope this helps:)

Answer:

9

Step-by-step explanation:

if the equation is what i think it is, its

4 x (3+2) - 11 = 9

3+2=5

4x5=20

20-11=9

Answer:

11

Step-by-step explanation:

55/5=11

hope it helps!

Answer:

13

Step-by-step explanation:

Answer:

13

___

Hope this helps!

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Answer:

Step-by-step explanation:

Answer:

True based on the conveniently provided picture

Step-by-step explanation:

x=58

Step-by-step explanation:

if wrong correct me

Answer:

8

Step-by-step explanation:

1/2 goes to 3/4.. 5/8 goes to 3/4 as well, and both of them together would be 1

Answer:

Q=-27

Step-by-step explanation:

Answer:

R ≥-4

Step-by-step explanation:

Substitute

2r-1>-3r-21

+3r

5r-1>-21

5r>-20

Divide 5

R>-4