How do you calculate 1/4 of 4 dozen and get the correct answer?

Answer:

25, 25, 22.5, 22

Step-by-step explanation:

It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.

We are given all of these values:

x -> 2, 3, 4, 5

y -> 50, 75, 90, 110

Use the formula given and solve for K.

50/2 = 25

75/3 = 25

90/4 = 22.5

110/5 = 22

Best of Luck!

Answer:

See attached

Step-by-step explanation:

The proof is attached

Answer:

x^2-2xy + y^2 + 4xy = (x + y)^2

x^2 + 2xy + y^2 = (x + y)^2

(x + y)^2 = (x + y)^2

Answer:

y = -1.25x + 3

Step-by-step explanation:

To see if the coordinate pairs are on this line, plug x into the equation above.

y = -5 + 3

y = -2, so (4, -2) is on that line.

y = -1.25(8) + 3

y = -10 + 3

y = -7, so (8, -7) is also on that line.

Answer:

y = -1.25x + 3

Step-by-step explanation:

i got it right

Answer:

Step-by-step explanation:

Remaining fraction:

1/5 of books are encyclopedia

Answer:

Let the total fraction of books be 1, then;

[tex]1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }[/tex]

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Step-by-step explanation:

Step 1: Define

3(x + 7)° = 63°

3(x + 7)° + 63° + y° = 180°

Step 2: Solve for x

Answer:

((c)) man so simple. bye

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

186 = 6(3n + 7)

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that 186 does indeed equal 186.

∴ n = 8 is the solution to the equation.

Step-by-step explanation:

the answer is D you subtract it on both sides to get rid of the 15

Answer:

12y+9

Step-by-step explanation:

This question is incomplete, the remaining part of the question is upload as an image alongside this answer.

Answer:

Width = 2x = 2( r/√2 ) =  √2 r units

Height = 2y = 2( r/√2 ) =  √2 r units

Step-by-step explanation:

From the Figure on the image; lets consider the circle of radius r, centered at the origin.  

let ABCD be the largest rectangle that can be inscribed inside the circle.  

Let the half width of the rectangle be x, then in right triangle ONB using Pythagorean theorem,  

half height of rectangle y = √(r² - x²)

Thus the width of the inscribed rectangle = 2x and height of the inscribed rectangle = 2√(r² - x²)

thus the area of the inscribed rectangle = length × width

⇒ A(x) = 2x(2√(r² - x²))

⇒ A(x) = 4x√(r² - x²)  

now in order to maximize the area, we find critical points.

so we find the derivative and set that zero, that is Ai(x) = 0.

so using product rule, we get

A'(x) = 4x × ( -2x / 2√(r² - x²) ) + ( 4 × √(r² - x²)  )

A'(x) = ( -4x² / √(r² - x²) ) + ( 4√(r² - x²)  )

Now for critical points, set A'(x) = 0

so

( -4x² / √(r² - x²) ) + ( 4√(r² - x²)  ) = 0

( 4x² / √(r² - x²) ) =  ( 4√(r² - x²)  )

x² = r² - x²

2x² = r²

x² = r²/2

x = ±√(r²/2)

Now since x represent the with, it cannot be negative, Thus

x = r/√2

hence

y = √(r² - x²) = √(r² -  r²/2) = √(r²/2) =  r/√2

Therefore, the dimensions of the rectangle of largest area will be;

Width = 2x = 2( r/√2 ) =  √2 r units

Height = 2y = 2( r/√2 ) =  √2 r units

9514 1404 393

Answer:

Step-by-step explanation:

There is some disagreement over whether the "imaginary part" includes the factor "i" or not. Here, we assume it is simply the coefficient of i.

  Re(z) = -19 . . . . the part that does not have a factor of i

  Im(z) = -24 . . . . the coefficient of i

Answer:

32.55

Step-by-step explanation:

d = 32.552266

For:

(X1, Y1) = (-12.3, 15.1)

(X2, Y2) = (17.5, 2)

Distance Equation Solution:

d=(17.5−(−12.3))2+(2−15.1)2−−−−−−−−−−−−−−−−−−−−−−−−−√

d=(29.8)2+(−13.1)2−−−−−−−−−−−−−−−√

d=888.04+171.61−−−−−−−−−−−−−√

d=1–√059.65

d=32.552266

could be confusing.

Answer:

361/1000

Hope I helped

Answer:

179/495

Step-by-step explanation:

x = 0.3616161..........  ---------------(I)

Multiply by 1000

1000x = 361.616161......

Multiply (I) by 10

10x = 3.616161........

1000x = 361.6161......

   10x =      3.6161........   {Now subtract}

 990x=  358

        x = 358/990

x = 179/495

The required answer is -2.85.

Hope it helps!

Answer:

-2.85

Step-by-step explanation:

first take l. c. m

(-35-22)/20

and -57/20= -2.85

Answer:

The first one is c the second is b

The answer is -3/-1/2

Tap on a clip to paste it in the text box.

Answer:

x>5/2

Step-by-step explanation:

Answer:

2.03 ft

Step-by-step explanation:

132 divided by 48 is 2.75 and 5.6 divided by 2.75 is 2.03

Answer:

0.62

Step-by-step explanation:

divide 56 by 90

Hope this helps :)

Answer:

0.622222222222

Step-by-step explanation:

[tex] - 6 \frac{1}{4} - ( - 2 \frac{1}{8} )[/tex]

[tex] = - 6 \frac{1}{4} + 2 \frac{1}{8} [/tex]

[tex] = \frac{ - 25}{4} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50}{8} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50 + 17}{8} [/tex]

[tex] = \frac{ - 33}{8} [/tex]

[tex] = - 4 \frac{1}{8} [/tex]

Answer:

Can someone help, please?

-1/2(7z+4)+1/5(5z-15)

Answer:

21

Step-by-step explanation:

bc i said

Answer:

·ω·

Step-by-step explanation ·ω· thats it °ω°

Complete Question:

Write an equation that represents the relationship between <FCB and <GBC

Answer:

m<FCB = m<GBC

Step-by-step explanation:

Given that GE is parallel to HF, and AD crosses both, thus:

<FCB and <GBC are alternate interior angles.

Alternate interior angles are congruent.

Therefore, the equation that represents the relationship between <FCB and <GBC would be:

m<FCB = m<GBC

Answer:

-1

Step-by-step explanation:

♡♤□●€£€■□●○{€》《●○○●}□¤●■¥♤■□■♤}●●□¤□■■■□{}€€□□□■€♤《■■●●□■■■■

Answer:

Cannot prove as congruent

Step-by-step explanation:

AAA cannot be used to prove whether a triangle is congruent. Only SSS, SAS, ASA, and AAS can be used.

Answer:

42.09

Step-by-step explanation:

3.45 x 12.2 = 42.09 (checked with a calculator)