Dayne has dinner at a local restaurant. The cost of his meal is $24. He wants to leave a 20% tip. What is Dayne's total bill including tip?

Answer:

Step-by-step explanation:

Add the equations together and solve for x.

[tex](2x + y )+ (3x - y) = 11 + 4[/tex]

[tex]5x=15[/tex]

[tex]x=3[/tex]

Use equation [tex]2x+y=11[/tex]  to solve for y.

[tex]2(3) +y=11[/tex]

[tex]6+y=11[/tex]

[tex]y=11-6[/tex]

[tex]y=5[/tex]

Answer:

slope is 2 and y-intercept is (0, 4)

Step-by-step explanation:

Answer:

s- 2       y int- 4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

pentegan easy

Step-by-step explanation:

Answer:

The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.

Step-by-step explanation:

The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.

The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero.  Let's do it:

So first the area:

2025 = wl

l = 2025 / w

Now the sides:

[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]

Then we can take its derivative with respect to w

[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]

Now we can set the derivative to zero, and solve for w:

[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]

So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.

Answer:

16

Step-by-step explanation: your welcome

Answer:

A is 85 degrees

Answer:

60

Step-by-step explanation:

step 1: 180°-130°= 50

step 2: 180-110= 70

step 3: 70+50= 120

step 4: 180°-120°= 60

Answer:

All of the except for D and C

Step-by-step explanation:

A negative times a positive is always negative

Answer:

A,B

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ \\ {3}^{2} + {4}^{2} = {c}^{2} \\ \\ 9 + 16 = {c}^{2} \\ \\ {c}^{2} = 25 \\ \\ c = \sqrt{25} \\ \\ c = 5[/tex]

Answer:

56 degrees since you set the two equations equal to each other and then plug the value of p (which is 11) back in to find the answer.

Answer:

143 over 428

Step-by-step explanation:

Answer: Yes 1/12 is the same as 1 ÷ 12

decimal form is 0.083333333333333333(3 is repeating)

Step-by-step explanation:

Answer:

0.08333333333

Step-by-step explanation: since i helped can i have brainlist please :D

Answer:

1,296

Step-by-step explanation:

I multiplied 6 four times.

9514 1404 393

Answer:

  u = ±√(-m/(k+r+y))

Step-by-step explanation:

Subtract r, rearrange, then take the square root.

  [tex]\dfrac{m}{u^2}+r=-k-y \qquad\text{given}\\\\ \dfrac{m}{u^2}=-k-y-r\\\\-\dfrac{m}{k+r+y}=u^2\\\\ \boxed{u=\pm\sqrt{-\dfrac{m}{k+r+y}}}[/tex]

Answer: +/- sqrt(m/-k-y-r)

Step-by-step explanation:

Answer:

m = -2

Step-by-step explanation:

slope is m in y = mx + b

You already said what m is

Answer:

b = ac

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

Answer:

b= ac

Solve for b by simplifying both sides of the equation, then isolating the variable.

Answer:

a.) PED = 5

b.) PED = 5

c.) PED = 0.05

Step-by-step explanation:

Here , PED = Price elasticity of demand

a.)

Given - The price of a smartphone is currently £200, and the quantity demanded is 4m. Next year the price falls to £180 and the quantity demanded rises to 6m.

PED = (Change in quantity demanded)×[tex]\frac{Initial Price}{Initial Quantity demanded}[/tex]

Now,

Change in quantity demanded = [tex]\frac{6 - 4}{180 - 200}[/tex] = [tex]\frac{2}{20} = \frac{1}{10}[/tex]

⇒PED = [tex]\frac{1}{10}[/tex]×[tex]\frac{200}{4}[/tex] = 5

b.)

Given -The price of pens today is £1, and the quantity demanded is 1m. Next year the price rises to £1.10 and the quantity demanded falls to 950,000.

Change in quantity demanded = [tex]\frac{1000000 - 950000}{1.10- 1}[/tex] = [tex]\frac{50000}{0.10} = 500000[/tex]

⇒PED = [tex]500000[/tex]×[tex]\frac{1}{1000000}[/tex] = 5

c.)

Given -The price of a daily newspaper today is £1.50p, and the quantity demanded is 2m. Next year the price falls by 30p and the quantity demanded rises to 2.2m

Change in quantity demanded = [tex]\frac{2.2 - 2}{30 - 1.50}[/tex] = [tex]\frac{0.2}{28.50} = \frac{20}{2850} = \frac{2}{285}[/tex]

⇒PED = [tex]\frac{2}{285}[/tex]×[tex]\frac{1.50}{2}[/tex] = [tex]\frac{15}{2850}[/tex]= [tex]\frac{1}{190}[/tex] = 0.005

Answer:

90 is correct answer of it question

Answer:

Number of sent mail = 36

Number of received mail = 75

Step-by-step explanation:

Let,

x be the number of mails sent

y be the number of mails received

According to given statement;

x + y = 111      Eqn 1

y = 2x + 3     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x + 2x + 3 = 111

3x = 111 - 3

3x = 108

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{108}{3}\\x = 36[/tex]

Putting x = 36 in Eqn 2

y = 2(36) + 3

y = 72 + 3 = 75

Hence,

Number of sent mail = 36

Number of received mail = 75

Answer:

spills on the floor

Step-by-step explanation:

there is liquid of some sort someone could slip and hurt themselves. hope this helps

Answer: B. x= 14

D. y=39

Step-by-step explanation:

First and foremost, we need to calculate the constant of proportionality. This will be:

(8,12).

y = kx.

12 = 8k

k = 12/8

k = 1.5

(16, 24),

y = kx

24 = 16k

k = 24/16

k = 1.5

(x, 21),

y = kx

x = y/k

x = 21/1.5

x = 14

(26, y)

y = kx

y = 26 × 1.5

y = 39

Answer:

295 is the answer... god bless

Answer25

Step-by-step explanation:

Answer:

105

160

150

Step-by-step explanation:

This is just simple subtraction.

180-75=105

180-20=160

180-30=150

Answer:

2 11/14

Step-by-step explanation:

First make both of them improper fractions.

therefore,

2 4/7 = 18/7

now simplify.

18/7 × 13/12

18 and 12 get cancelled off as they're multiples of 3 and 6

therefore,

3/7 × 13/2

3× 13 = 39

7×2 = 14

39/14

now make it a proper fraction

2 11/14//