1. Three friends are at a restaurant for dinner. They decide to split the $90. 00 check equally among the three of them. A. If they decide to leave a 20% tip, what will the total bill be?

b. What will each person pay if the total bill including tip is divided by three?

Answers

Answer 1

Answer:

1A.)The tip would be $18, thus meaning the total will shoot up to 108$.

1B.) Divide 3 by 18, and you get $6 per person.

Step-by-step explanation:

Hope this helps!~

Answer 2

The total bill with the tip will be $108.00. Considering this value each person will pay $36.00

Percentage

The percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the example: [tex]\frac{20}{100}=\frac{1}{5}=0.2*100=20\%[/tex]

The question gives:

3 friendstotal bill without the tip - $90.0020% tip

Letter A

For solving this item you should sum the value of the total bill without the tip with the value equivalent to a 20% tip.

Tip=[tex]\frac{20*90}{100} =\frac{1800}{100}=18[/tex]

Total bill= 18+90=108

Letter B

For solving this item you should divide the value of the total bill with the tip by 3 (friends).

Individual Payment= 108/3 = 36

Read more about the percentage here:

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Related Questions

Find X.

A. 32
B. 8
C. 16
D. 24

Answers

Answer: D

Step-by-step explanation:

Rhonda has 12 marbles more than douglas . Doughlas has 6 marbles more than bertha . Rhonda has twice as many marbles as bertha has . How many marbles does douglas have​

Answers

24

Explanation:

R = D + 12 (1)

D = B + 6 (2)

R = 2*B (3)

Put (3) into (1): 2*B = D + 12 (4)

Rewrite (2) as B = D - 6 and put this into (4): 2*(D - 6) = D + 12

So: 2D - 12 = D + 12

Subtract D from both sides and add 12 to both sides to get: D = 24

(not suree)

Fin each missing measure. Round all answers to the nearest tenth. Pls Help!!

Answers

Answer:

  6.2 units

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.

Common segment

To find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591

__

Missing measure

The side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...

  Cos = Adjacent/Hypotenuse

  Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106

The length of the side marked x is about 6.2 units.

Can i get some help With This Please

Answers

Step-by-step explanation:

See the solution for each part

1)

f(-2) = - 3(-2) - 6 = 6 - 6 = 0

2)

g(3) = 3² + 4 = 9 + 4 = 13

3)

f(g(x)) = -3(x² + 4) - 6 = - 3x² - 12 - 6 = - 3x² - 18

4)

f(g(3)) = f(13) = - 3(13) - 6 = - 39 - 6 = - 45

5)

x = - 3f⁻¹(x) - 63f⁻¹(x) = - x - 63f⁻¹(x) = -(x + 6)f⁻¹(x) =  - (x + 6)/3
f(x)=-3x-6g(x)=x²+4

Now

f(-2)=-3(-2)-6=6-6=0g(3)=3²+4=9+4=13f(g(x))=-3(x²+4)-6=-3x²-12-6=-3x²-18f(g(3))=-3(3)^2-18=-27-18=-45

Please help when you it’s important

Answers

The area of the sandbox is 5 x 5 = 25 square feet.


the cost of the sand = 25 square feet x 1.47 = $36.75


Answer: $36.75

Answer:

36.75

Step-by-step explanation:

5*5=25 ft^2

(area)

25*1.47=36.75

sand cost

The sales tax in your state is 5%. If a car cost 16,700 what is the total cost, including tax.

Answers

Answer:

17,535 dollars

Step-by-step explanation:

5% of 16,700 is 835, so add the two together and you get your answer.

If tangent theta = negative three-eighths, which expression is equivalent to cotangent theta?

Answers

The value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex] the option first is correct.

It is given that the  [tex]\rm tan\theta = -\frac{3}{8}[/tex]

It is required to find which expression is equivalent to [tex]\rm cot\theta[/tex].

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have  [tex]\rm tan\theta = -\frac{3}{8}[/tex] , which is a ratio of side opposite side of an angle to the side adjacent to the angle.

We know [tex]\rm cot\theta[/tex] is a ratio of the side adjacent to the angle to the side opposite to the angle ie. it is the opposite of the [tex]\rm \tan\theta[/tex] ie.

The  [tex]\rm tan\theta = \frac{1}{cot\theta}[/tex]

or    [tex]\rm cot\theta = \frac{1}{tan\theta}[/tex]

Putting the value of [tex]\rm tan\theta[/tex] in the above equation, we get:

[tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  

Or

[tex]\rm cot\theta = -\frac{8}{3}[/tex]

Thus, the value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex].

 

Know more about trigonometry here:

brainly.com/question/26719838

Answer:

first option

Step-by-step explanation:

simplify 10 to the square root

Answers

it’s already in its simplest form _/10

Answer: 10

Step-by-step explanation: that is the answer because you can not simplify it any further

x-5=16 what operation would you have to do on both sides of the equation to get x by itself

Answers

Answer:

Add 5 to both sides

Step-by-step explanation:

x-5=16

+5  +5

x=21

Answer:

Addition

Step-by-step explanation:

x - 5 = 16

x - 5 + 5 = 16 + 5

x = 21

Find the equation of the line that is perpendicular to the line Y equals 4X and passes through the point -10, -6. Write the equation in point slope form

Answers

Answer:

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x ← is in slope- intercept form

with slope m = 4

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{1}{4}[/tex] and (a, b ) = (- 10, - 6 ) , then

y - (- 6) = - [tex]\frac{1}{4}[/tex] (x - (- 10) ) , that is

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

Question is the PNG file.

Answers

Answer:

volume = x(x + 2)(x - 1)

soil = 30 ft³

Step-by-step explanation:

volume of a cuboid = width x length x height

width = x ftlength = (x + 2) ftheight = (x - 1) ft

Substituting given values into the equation:

⇒ volume = x(x + 2)(x - 1)

If width = 3ft, then x = 3:

⇒ volume = 3(3 + 2)(3 - 1)

                 = 3(5)(2)

                 = 30 ft³

Help on this pleases.

Answers

Answer: ASA

Step-by-step explanation:

What is the value of y?
y
60°
80°

Answers

Step-by-step explanation:

60° + 80° + y = 180° ( being straight angle )

140° + y = 180°

y = 180° - 140°

y = 40°

Which is true [x]>=x or [x]<=x ?

Answers

Answer:

[x] ≥ x

Step-by-step explanation:

The absolute value of a number is greater than or equal to itselfTherefore, the correct answer is :⇒ [x] ≥ x

Find the equation of a line parallel to y = x - 2 that passes through the point (-2,-8).

Answers

Answer: y=x-6

Step-by-step explanation:

Marcus is building a fort. He needs 5 pieces of plywood each with an area of 56.25 square feet for each. If the plywood costs $1.79 per square foot, how much money will Marcus need to build his fort.

Answers

Simple answer (not exactly sure what unit your in)
56.25 X 5 = 281.25
281.25 X 1.79 = 503.4375
For 5 pieces of plywood it would equal a total of 281.25 square feet, and it would cost 503.43$

If remove the zero from 0.76 would it change the value of the number

If remove the zero from 10.25 would it change the value of the number

PLS HELP THIS WAS ON SHORT NOTICE AND I NEED IT DONE IN 30 MINUTES
!!!

Answers

Question 1:

Answer: The number does not change

Removing the zero from 0.76 leads to .76 which is the same as before. Both lead to [tex]7.6 \times 10^{-1}[/tex] in scientific notation.

Personally I prefer the zero up front to make the decimal point stand out easier. Of course it's just a preference, so its up to you to decide which you prefer.

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

Question 2:

Answer: Yes the number changes

Taking the zero out of 10.25 leads to 1.25 which is definitely a different number (and smaller). Therefore, this zero is a significant digit compared to before.

Please help its decimals

Answers

Each line they are adding 4.96


11.72 + 4.96 = 16.68

Answer:

the correct answer is 16.68

Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Corresponding angles converse
Consecutive interior angles theorem
Vertical angles theorem
Transitive property of congruence

Answers

The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel

What is an angle?

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse, right angle.

The consecutive interior angle theorem states that if a pair of parallel line is intersected by a transversal, the pair of consecutive interior angles formed is supplementary

The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel

Find out more on angle at: https://brainly.com/question/25770607

**20 POINTS + BRAINLIEST** Please help me with the math question!

Answers

Answer:

1/6.2=15/x

Step-by-step explanation:

15:x=1:6.2

Answer:

D. [tex]\frac{1}{6.2} =\frac{15}{x}[/tex]

93 meters

Step-by-step explanation:

Howard has a scale model of the Statue of Liberty

The model is 15 inches tall.The scale of the model to the actual statue is 1 inch: 6.2 meters

1 inch = 6.2 meters

15 inches = ? meters

[tex]\frac{1}{6.2} =\frac{15}{x}[/tex] <= cross multiply

1x = 93  <== divide both sides by 1

/1     /1

x = 93 meters <== the height of the model, our final answer

Hope this helps!

A jeepney has an original speed of 30 m/s and a final speed of 40 m/s. Compute its
acceleration if the time of travel is 10 seconds.

Answers

Answer:

1 m/s/s.

Step-by-step explanation:

Acccelaration = rate of change of speed

= (40 - 30) /10

= 10/10

= 1 m/s/s.

The base of a solid S is the region bounded by the parabola x^2=8y
Cross-sections perpendicular to the yyy-axis are equilateral triangles.
Determine the exact volume of solid SSS.

Answers

Step-by-step explanation:Updated answer is the second one

what are the coordinates of a point where graph of y=x2+3x+2 crosses the x axis

Answers

Answer:

x= -2, 0

Step-by-step explanation:


Triangle ABC has side lengths AB= 25 units, BC = 24 units and AC = 7 units. Triangle ABC is mapped to triangle A'B'C' by a reflection across a
horizontal line and translated left 12 units
What is the length of segment B'C'?
A. 25 units
B. 12 units
C. 24 units
D. 7 units

Answers

Answer: C. 24 units

Step-by-step explanation:

C is the correct answer. This is because the length of the segment doesn't change when reflected along the x-axis or translated left or right. The length of a segment only changes if the given figure is stretched or compressed, which doesn't occur in the given case or question.

The answer is C. 24 units

A rectangle has a perimeter of 48 kilometers and a height of 10 kilometers. What is the
length of the base?
kilometers

Answers

We know, perimeter of the rectangle = 2(l +b)

where, l = length and b = breadth

Here, the perimeter of the rectangle is 48 kilometers and the height is of 10 kilometers. We can take height as the breadth.

=> Perimeter = 2(l + b)

=> 48 = 2(l + 10)

=> 48/2 = l + 10

=> l + 10 = 24

=> l = 24 - 10

=> l = 14 kilometers

Hello, could you please help me with my homework?
Question:-
[tex]\pmb{(x+8)^5}[/tex]
Use the Binomial Theorem.
Kindly do not lose your precious time by spamming; instead, please provide a high-quality answer.
I need help A.S.A.P.; this is due today.

Answers

Answer:

[tex]{x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 [/tex]

Step-by-step explanation:

This too follows the as same process as

https://brainly.com/question/27201053

recall binomial theorem,

[tex] \displaystyle (a + b {)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]

Given binomial:

(x+8)

comparing it to (a+b)ⁿ , we acquire:

[tex]a \implies x[/tex][tex]b\implies 8[/tex][tex]n\implies 5[/tex]

Now substitute:

[tex] \displaystyle (x +8 {)}^{5} = \sum _{k = 0} ^{5} \binom{n}{k} {a}^{5- k} {b}^{k} [/tex]

To convert the summation into a sum, substitute the values from k=0 to k=5 into the expression which yields

[tex] \displaystyle (x + 8{)}^{5} = \binom{5}{0} {x}^{5 - 0} \cdot {8}^{0} + \binom{5}{1} {x}^{5 - 1} \cdot {8}^{1} + \binom{5}{2} {x}^{5 - 2} \cdot {8}^{2} + \binom{5}{3} {x}^{5 - 3} \cdot {8}^{3} + \binom{5}{4} {x}^{5- 4} \cdot {8}^{4} + \binom{5}{5} {x}^{5 - 5} \cdot {8}^{5} \\ \implies(x + 8 {)}^{5} = \binom{5}{0} {x}^{5} \cdot 1 + \binom{5}{1} {x}^{4} \cdot {8} + \binom{5}{2} {x}^{3} \cdot 64+ \binom{5}{3} {x}^{2} \cdot 512 + \binom{6}{4} {x}^{1} \cdot 4096+ \binom{5}{5} {x}^{0} \cdot 32768\\ \implies(x + 8{)}^{5} = 1 \cdot {x}^{5 } \cdot 1 + 5\cdot{x}^{4} \cdot {8} + 10 \cdot {x}^{3} \cdot 64+ 10 \cdot {x}^{2} \cdot 512 + 5 \cdot{x}^{1} \cdot 4096+ 1 \cdot {x}^{0} \cdot 32768 \\ \implies \boxed{ (x + 8 {)}^{5} = {x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 }[/tex]

and we're done!

Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 11)° = cos(–3x + 79)°

Answers

Answer:

x = 8

Step-by-step explanation:

3x + 2 + 7x + 8 = 90

10x + 10 = 90

10x = 80

x = 8

What is the distance between
(-2,-4) and (-2, -8)?
2 units
4 units
12 units

Answers

Answer:

4units is the answer to the question

Answer:

4

Step-by-step explanation:

took the k12 test

Anwser for 4.5 times 3.6

Answers

Answer:

16.2

Step-by-step explanation:

calculator :0

The answer for 4.5 times 3.6 is 16.2

How can (xy)/(x+y) be simplified?

Answers

Answer:

 xy

---------

x + y

Step-by-step explanation:

(xy)

-----  is in its simplest form.

(x + y)

I hope this helps!

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