A lemonade recipe calls for 1/4 cups of lemon juice for every cup of water.

Plot the pairs in the table in a coordinate plane

Answer:

Step-by-step explanation:

P(A and B)=P(A)*P(B)

Answer:

x = 12°

y = 1.4 cm

Step-by-step explanation:

1. Because the two triangles are similar, their corresponding angles are congruent.

so

3x + 14 = 50

Subtract 14 from both sides

3x = 36

Divide both sides by 3

x = 12

x = 12° (remember units)

Check work:

3(12) + 14 = 50

36 + 14 = 50

50 = 50

2. Because the two triangles are similar, their corresponding sides are in equal proportion.

Two sides of triangle ABE are

5.6 and 4

And two corresponding sides of triangle ACD are

5.6 + y and 5

So

5.6 / 4 = (5.6 + y) / 5

Cross multiply

5.6 * 5 = 4(5.6 + y)

Multiply 5.6 * 5 on the left

28 = 4(5.6 + y)

Distribute the 4 to each term

28 = 4*5.6 + 4*y

Simplify the right side

28 = 22.4 + 4y

Subtract 22.4 from both sides

5.6 = 4y

Divide by 4 on both sides

1.4 = y

y = 1.4 cm (remember units)

Check our work:

5.6/4 = (5.6 + 1.4)/5

1.4 = 7/5

1.4 = 1.4

Answer:

Rectangular pyramid volume: 8×9×9/3 = 216 cm³

Rectangular prism volume: 8×9×7 = 504 cm³

Total volume of composite figure: 216+504 = 720 cm³

Answer:

720 cm³

Step-by-step explanation:

Rectangular pyramid:

Volume = [tex]\frac{1}{3}BH[/tex]

H = 9 cm

B-> base area =  area of rectangle

B = length * width = 8*9 = 72  square cm

[tex]Volume = \frac{1}{3}*72*9 = 216 \ cm^{3}[/tex]

Rectangular prism:

length = l = 8 cm

Width = w = 9 cm

Height = h = 7 cm

Volume of rectangular prism = l * w * h = 8 * 9 * 7 = 504 cm³

Volume of composite figure = volume of pyramid + volume of r. prism

      = 216 + 504

      = 720 cm³

=======================================================

Explanation:

The smaller angles HGE and EGF combine to form the largest angle HGF.

This is an example of the angle addition postulate.

(angle HGE) + (angle EGF) = angle HGF

(3x+11) + (110) = 16x+4

3x+121 = 16x+4

121-4 = 16x-3x

117 = 13x

13x = 117

x = 117/13

x = 9 which is the final answer

We can stop here.

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Extra info (optional section)

Use this x value to find each angle shown below

Then notice how,

(angle HGE)+(angle EGF) = 38+110 = 148

which is exactly the measure of angle HGF

This confirms that the equation

(angle HGE) + (angle EGF) = angle HGF

is true for that x value of x = 9. Therefore, the answer is confirmed.

9514 1404 393

Answer:

  11) x = 9°

  13) x = -12°

Step-by-step explanation:

11) ∠HGE +∠EGF = ∠HGF

  (3x +11) +(110°) = (16x +4)

  117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms

  9° = x . . . . . . . . . . . . divide by 13

__

13) ∠BCF +∠FCD = ∠BCD

  (x +78) +(x +41) = 95°

  2x = -24°

  x = -12°

Solving expression

[tex]\\ \rm\Rrightarrow (62-42)3[/tex]

[tex]\\ \rm\Rrightarrow 3(20)[/tex]

[tex]\\ \rm\Rrightarrow 60[/tex]

Answer:

3 times the difference of 62 and 42

Step-by-step explanation:

(62−42)×3

The difference of 62 and 42 times 3

Answer:

y=-1

Step-by-step explanation:

As the line is horizontal in nature and pass through (2,-1), the equation is y=-1

Answer:

hello its (1/4)x+4=3

Step-by-step explanation:

Answer:

i went with mean is less than median

Step-by-step explanation:

other website lol

The differential equation

y''' - 5y'' + 7y' - 3y = 0

has characteristic equation

r ³ - 5r ² + 7r - 3 = (r - 3) (r - 1)² = 0

with roots at r = 3 and r = 1 (with multiplicity 2), so that the characteristic solution to the DE is

y = C₁ exp(3x) + C₂ exp(x) + C₃ x exp(x)

Answer:

2. A

3. C

4. B

Step-by-step explanation:

2. To answer # 2, just add all the sides together...

(5x-7) + (3x-4) + (2x-6)

=  10x - 17

3. To answer # 3, divide/mulitply both the numerators and denominators by the same number and check to see if that answer matches the displayed answer...

a) 28 divided by 7 is 4,  so divide the whole fraction by 7 to see if the fraction is proportional...  

  28/7 = 4

  49/7 = 7

   [tex]\frac{4}{7} =\frac{4}{7}[/tex]

b) 4 goes into 16  4 times so multiply [tex]\frac{4}{7}[/tex] by 4...

   4 x 4 = 16

   7 x 4 = 28

   [tex]\frac{16}{28}[/tex] =  [tex]\frac{16}{28}[/tex]

c) 4 goes into 16 4 times so multiply the whole fraction by 4...

   4 x 4 = 16

   7 x 4 = 28

   [tex]\frac{16}{28}[/tex] ≠ [tex]\frac{16}{35}[/tex]

d) 4 goes into 20 5 times to multiply the whole fraction by 5...

   4 x 5 = 20

   7 x 5 = 35

   [tex]\frac{20}{35} = \frac{20}{35}[/tex]

C is the answer because the fractions are not proportional.

4) 25% is a quarter of 100%. A third of 100% is 75%.

   $120 - 0.25($120) = $90

   Another expression for the for sale price is...

   B) 0.75($120) = $90

Answer:

Hello,

Step-by-step explanation:

[tex](((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)\\\\=\dfrac{x^3}{5} +\dfrac{3*x}{5} +\dfrac{2}{5} +\dfrac{5*x^2}{2} -x^6\\\\\\=-x^6+0x^5+0x^4+\dfrac{x^3}{5} +\dfrac{5*x^2}{2} +\dfrac{3*x}{5}+\dfrac{2}{5} \\\\\\a)\ \dfrac{3}{5} \\\\b)\ -1\\\\c)\\degree=6\\[/tex]

Answer:

division involves 5 steps:

D Divide

M Multiply

S Subtract

B Bring down

R Repeat or Remainder

Step-by-step explanation: i hope it helped

Step-by-step explanation:

kak kak jm ok bro open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men

Answer:

n

Step-by-step explanation:

feeeeer

Answer:

Does the answer help you?

Answer:

(x -+2)² + (y - 4)² = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 2, 4) and r = 6 , then

(x - (- 2))² + (y - 4)² = 6² , that is

(x + 2)² + (y - 4)² = 36 ← equation of circle

Answer:

Hello,

4 hours

Step-by-step explanation:

Let say w the work clean one room.

h the number of hours worked

p the number of people who works

k is a constant

6w=k*h*p

3 h, 2 p==> 6w

6w=k*3*2 ==> k=w

5 p, 20 w ==>

20w=k*h*p

20w=w*h*5

20=h*5

h=20/5

h=4

It will take 4 hours.

Answer:

24

Step-by-step explanation:

Volume of a cuboid = length*base*height or 4*2*3=24. The volume of this cuboid is 24.

Answer:

3/4x^2

Step-by-step explanation:

Answer:

[tex] \frac{3}{4} \sqrt{x} [/tex]

where 'X' is the number

Step-by-step explanation:

hope this helps

Answer:

between 10 and 22

Step-by-step explanation:

A side of a triangle must measure between the difference of the lengths of the other two sides and the sum of the lengths of the other two sides.

Difference: 16 - 6 = 10

Sum: 6 + 16 = 22

Answer: between 10 and 22

Step-by-step explanation:

Hi there!

The given equation is:

y = -2x + 5………………(i)

Comparing the equation with y = mx+c, we get;

m1 = -2

Also another equation of the line which passes through point (-4,2), we get;

(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}

According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;

m1*m2 = -1

-2*m2 = -1

or, m2 = 1/2.

Therefore, m2= 1/2.

Now, keeping the value of m2 in equation (ii).

(y-2) = 1/2(x+4)

y = (1/2)x + 4

Therefore, the required equation is: y = (1/2)x + 4.

Hope it helps!

The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:

--------------------------------

To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.

Thus, factoring them, always by the same number:

12 - 18|2

6 - 9|3

2 - 3

The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.

--------------------------------

18 crackers, so each plate has 18/6 = 3 crackers.

12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.

A similar question is given at https://brainly.com/question/18454593

Answer:

b

Step-by-step explanation:

2/(x+2)≠1/(x+1)

Answer:

I think 10 is the correct answer.

Answer:

The first one:)

Step-by-step explanation:

REMEMBER TO:

1. Give me Brainliest, please... (ASAP)

2. HAVE A WONDERFUL DAY!

Answer:

12 - 7 = 5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Cos(D) = adjacent / hypotenuse

The adjacent side is the one making up angle  D

adjacent side = f

hypotenuse = e

Cos(D) = f/e

D = cos-1(f/e)

Answer:

Less

Step-by-step explanation:

[tex]6.17 < 6.187 [/tex]

Answer:

(1,-4)

Step-by-step explanation:

We add 4 to the x-coordinate, so -3+4=1.

Work Shown:

g(x) = x-3

g(3x) = 3x-3

We simply replaced every x with 3x. There isn't much else to show in terms of work. I suppose you could factor out the GCF to say g(3x) = 3(x-1), but that isn't much of a simplification in my opinion.

Answer:

Step-by-step explanation:

The meaning of g(x) = x - 3 is that whatever you put in the x on the left, you will put in the x on the right.

g(3x) = 3x - 3 is the correct answer.

Answer:

[tex]5^{-2}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then

[tex]\frac{1}{25}[/tex] = [tex]\frac{1}{5^{2} }[/tex] = [tex]5^{-2}[/tex]

In exponent form, it should be written as [tex]5^{-2}[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex]a^{-m} = \frac{1}{a^{m}} \\\\\frac{1}{25} = \frac{1}{5^{2}}[/tex]

[tex]5^{-2}[/tex]

Learn more: brainly.com/question/17429689

Answer:

6n i guess?

Step-by-step explanation:

think of as this

n=1 (1n)

n×6=n6

Answer:

6n

Step-by-step explanation:

when we say 6times a number,it means 6 multiplying the number