Arthur's dinner bill totaled $13.72, before sales tax and tip.
• Sales tax at the restaurant is 5.8%.
• After sales tax, he left a 15% tip.
What was Arthur's total bill, including sales tax and tip?

Answer:

4x3−6x2−7x+6

Sorry if I got it wrong.

Answer: it is C

Step-by-step explanation:

Answer: Always

An example would be 5 + (-5) = 0

Another example is -7 + 7 = 0

The opposite of any positive number is the negative version of that number.

Adding any positive number to its negative counterpart always leads to 0.

A real world example could be "You start on the ground floor. Then you go up 9 floors, and then go down 9 floors in a building, so ultimately you're at the ground floor again". By the term "ground floor", I mean "floor 0".

Answer:

the answer is D

Step-by-step explanation:

Exact Form: 55 /14

Decimal Form:  3.92857142

Mixed Number Form: 3  13 /14

Part (a)

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

Work Shown:

We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

Focus on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

x*sin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1

Make sure your calculator is in degree mode.

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

Part (b)

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

Work Shown:

Draw an xy coordinate grid.

Place point A at the origin (0,0).

Point B is 10 units above this, so B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.

Refer to the diagram below.

Apply the distance formula for the points C and D.

[tex]C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\[/tex]

[tex]d = \text{ distance from C to D}\\\\d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d \approx \sqrt{ (18-6.745085)^2+(10-0)^2}\\\\d \approx \sqrt{ 226.673112 }\\\\d \approx 15.055667\\\\d \approx 15.1\\\\[/tex]

Segment CD is roughly 15.1 cm long.

a) The length of BD to 1 decimal place is 12.1

b) The length of CD to 1 decimal place is 15.1

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

Given ABCD is a trapezium AD and BC are parallel

we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

xsin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1 degree

Let xy coordinate grid. Place point A at the origin (0,0).

Point B is 10 units above this, B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0).

The 6.745085 solving tan(56) = 10/x for x.

Apply the distance formula for the points C and D.

D = √(18 - 6.745085)² + (10 -0)²

D = 15.1

Thus Segment CD is roughly 15.1 cm long.

Learn more about quadrilateral;

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9514 1404 393

Answer:

  20 : 7

Step-by-step explanation:

2 cm = 20 mm, so the ratio of white to colored fabric is ...

  20 mm : 7 mm = 20 : 7

The probability of choosing two dimes consecutively without replacement is 0.196.

i.e

P (both dimes) = 0.196

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The total number of coins.

= 4 quarters + 18 dimes + 10 nickels + 8 pennies.

= 40

The probability of choosing a dime.

= 18/40

The probability of choosing a dime without replacing the first dime.

= 17/39

The probability of choosing two dimes.

= 18/40 x 17/39

= 306 / 1560

= 0.196

Thus,

P(both dimes) = 0.196

Learn more about probability here:

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Answer:

Step-by-step explanation:

6t =9

Answer:

Part A: 4

Part B: 83.88

Step-by-step explanation:

4x4= 16 that's enough for the whole team you have 1 extra football

The footballs are sold in 4 so that means you will have to multiply 20.94 by how many packets you have which is 83.88

9514 1404 393

Answer:

  a) ∠DAE = 33°; ∠ABD = 57°

  b) ∠CEB = 90°

  c) ∠ABE = 22°

  d) ∠ADE = 15°

Step-by-step explanation:

The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.

a) ∠DAE = 90° - ∠ADE = 90° -57°

  ∠DAE = 33°

  ∠ADE = ∠ABD = 57°

__

b) ∠CEB = 90° . . . . . the diagonals meet at right angles

__

c) ∠ABE = 44°/2

  ∠ABE = 22°

__

d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2

  ∠ADE = 15°

Answer:

x = 3

Step-by-step explanation:

:))

Answer:

−3+2(2)=3

Step-by-step explanation:

2(2)+10=3+13

2(2x)+10−10=3+13−10

Answer:

VT = 50√3 , PT = 50

Step-by-step explanation:

Given

PV = 100

With reference angle 60°

hypotenuse (h) = 100

perpendicular (p) = ?

Now

Sin 60° = p/h

√3 / 2 = p / 100

p = √3 * 100 / 2

p = 50√3

Also

With reference angle 30°

hypotenuse (h) = 100

perpendicular (p) = ?

sin 30° = p/h

1/2 = p / 100

p = 100 / 2

p = 50

Hope it will help :)

Answer:

The answed is a function

Step-by-step explanation:

Since there is one value of y for every value of x in the data the realtion is a function

Answer: 0.90 g/cm3

Step-by-step explanation:

Their ratio is given by the mass density of ice: M/V = Rhoi ~ 0.90 g/cm3 (iceberg ice is more dense than normal ice since it has been compressed by thousands of years of pressure - normal ice is 0.917 g/cm3).

Answer:

Basal melting of floating ice shelves and iceberg calving constitute the two ... of the Southern Ocean free of large icebergs are largely populated by small iceberg  the hidden part, which is the most important in terms of effort and often the most  So this work explores use of NISAR to map surface structures visible on ice

Step-by-step explanation:

Answer:

21/4 or 5.25

Step-by-step explanation:

Answer:

5 1/4

Step-by-step explanation:

This is the answer because 1 3/4 as an improper fraction is 7/4 and 7/4 x 3/1 = 21/4 and that as a mixed number is 5 1/4

Answer:

 [tex]no[/tex]

Step-by-step explanation:

Lets solve the first half.

[tex]-4 ( x - 6) = -4x + 24[/tex]

Second one:

[tex]-4 times x - 4 times 6 = -4x -24[/tex]

Now compare.....Not the same right??

So your answer is:  [tex]no[/tex]

Hope this helps :)

Answer:

Step-by-step explanation:

a) area of the rectangle = length × breadth

Therefore area should be = 12cm × 6cm

Which should give you the answer 72centimetre squared.

b) area of triangle A = 1/2 × b × h

So that is 1/2 × 3 × 6

Which is 18 centimetres × 1/2

Which is 9 centimetres squared

c) area of triangle B = 1/2 × b × h

So 1/2×3×6=18

Now 1/2×18 should give you 9 centimetres squared

d) therefore the area of the parallelogram = 72+9+9=90 centimetres squared

Therefore the area of the parallelogram is 90 centimetres squared

Step-by-step explanation:

Apples cost four times as much as oranges per pound.

If the cost of orange =x

then, cost of apples =4x

But,

the costs of apples =2.80$

So,4x=2.80

[tex]\tt{ x=\dfrac{2.80}{4} }[/tex] ⠀

[tex]\tt{ x=0.70\$ }[/tex] ⠀

so,oranges costs for per pound =0.70$

Answer:

8 rectangles

Step-by-step explanation:

I just folded a piece of paper three times and I counted 8 rectangles!

Answer:

8

Step-by-step explanation:

Answer:

yes it's rotated 180 degree angle

Answer:

b

Step-by-step explanation:

Answer:

The last one: Each y-value is determined by adding 2 to each x-value so the pattern is additive. Hope this helps, if not try the multiplying 2 one!

Answer:

:) i have no idea have a good day hope u get it

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

Step 1: Subtract x from both sides.

5x+4−x=x+4−x

4x+4=4

Step 2: Subtract 4 from both sides.

4x+4−4=4−4

4x=0

Step 3: Divide both sides by 4.

4x/4=0/4

Answer:x=0

Step-by-step explanation:

Answer:

A(t)=-1.8t-4.5

Step-by-step explanation:

Answer:

Correct answers A) Subtract 5x

Step-by-step explanation:

Answer:

i believe 15 minutes

Step-by-step explanation: