The school band is having its end-of-year dinner at a local restaurant. The director wants to give the server a 20% gratuity, and the sales tax is 8.25%. He
will use the amount of the bill to find each additional amount.
Part A
Which components would the director use to write an equation to determine the total cost of the meal, given the amount of the bill, <?
Select all the components of the equation.
X+0.20
0.825x
0.20x
x+0.825
0.0825x
x

Answers

Answer 1

Answer:

Step-by-step explanation:

x is the amount of the bill

tax = 8.25% of x = 0.0825x

tip = 20% of x = 0.20x

total payment = x + 0.0825x + 0.20x = 1.2825x

Answer 2

The total cost of the meal is given by the equation A = x + 0.2x + 0.0825x and A = 1.2825x , where x is the initial cost of the meal

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let total cost of the meal be represented as A

Now , the equation will be

Let the cost of the meal be x

Let the tip percentage be = 20 %

Now , the sales tax percentage of the meal = 8.25 %

So , the total cost of the meal A = cost of the meal + ( tip percentage x cost of the meal ) + ( sales tax percentage of the meal x cost of the meal )

Substituting the values in the equation , we get

The total cost of the meal A = x + ( 20/100 )x + ( 8.25/100 )x

On simplifying the equation , we get

The total cost of the meal A = x + 0.2x + 0.0825x

The total cost of the meal A = 1.2825x

Hence , the equation is A = 1.2825x

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Related Questions

The price of technology stock has risen $9.87 today yesterday's price is $9.74 find the percentage increase round your answer to the nearest 10th of a percent percentage.

Answers

Step-by-step explanation:

To find the percent increase, divide the increase by the original price.

P1 = price yesterday

P2 = price today

To find percent increase

[tex] \frac{(p2 - p1)}{p1} [/tex]

Or to answer the question,

P1 = 9.74

P2 = 9.87

[tex] \frac{(9.87 - 9.74)}{9.74} = 0.013347[/tex]

Or 1.33%

Meaning of part of a whole

Answers

Answer:

Step-by-step explanation:

a portion or division of a whole that is separate or distinct; piece, fragment, fraction, or section; constituent: the rear part of the house;to glue the two parts together.

Please thank me!

LOOK AT PIC, ASAP, ROGHT ANSWER GETS BRAINLIEST !

Answers

Answer:

Step-by-step explanation:

The teacher has 7/8 pounds of clay given.

gives out 1/16 per station

7/8= 0.875 pound

7/8 / 1/16 pound= 14 maximum stations

14 stations divided by 2 classes = 7 in each room

Choose Yes or No to tell if the fraction
will make each equation true.
3
+ a
=
23
24
Choose.. v
+=
Choose.. v
13
18
Choose.. v
-=+
Choose.. v
15

Answers

Answer:

yes

yes

no

yes

Step-by-step explanation:

For each part, write the equation that represents the line in slope-intercept form (y = mx + b) and standard form (ax + by = c where a, b, and c are integers and a is not negative).

Answers

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope-intercept equation for graph a:  y = -x + 1

standard-form equation for graph a:  x + y = 1

:::::

Slope of line through (0,-2) and (3,4) = (4-(-2))/(3-0) = 2

Slope-intercept equation for graph b:  y = 2x-2

Standard form:  2x-y = 2

does any one know the correct answer that is good in math

Answers

The answer is B!! :))
The answer is B because linear is constant

Graph a solution of x - 6 > 3

Answers

Answer (9,0)

Hope this helped

Which is NOT equivalent to 40/100
A: 4/10
B:8/20
C:40/10
D:20/50

Answers

Answer:

B

Step-by-step explanation:

because B is 8/20 and it's not equivalent to 40/100

Find the equation of the function in the graph

A) y=x

B) y=|x|

C) y=x3

D) y=x2

Answers

Answer:

D

Step-by-step explanation:

it is a graph of [tex]x^{2}[/tex]

Answer:

D.) y=x2

Step-by-step explanation:

Look in pic above, on EDGE NUITY I always used to graph to find the answer

please help me with this

a . 18

b . 16

c . 12

d . 9

Answers

It would have the be B. 16

Equivalent expression of d+0.38d

Answers

Answer:

0.38 x d + d

Step-by-step explanation:

the answer for ur question is

d+0.38d

1.38d

A birdwatcher on a cliff saw a eagle 70 feet above him. Earlier, he had spotted the eagle 30 feet above him. Which integer represents the eagle's change in altitude?

Answers

The integer that represents the altitude change is -40

How to determine the integer that represents the altitude change?

From the question, the positions of the eagle are

70 feet above him and 30 feet above him

Rewrite the positions of the eagle properly

This is done as follows

Position 1 =  70

Position 3 =  30

The expression of the altitude change in the position of the eagle is then calculated as

Change = Position 2 - Position 1

Substitute the known values in the above equation

So, we have the following equation

Change = 30 - 70

Evaluate

Change = -40

Hence, the altitude change is -40

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Lincoln told his mother that 4 5/10
represents his height, in feet. Which decimal measurement represents Lincoln's height?

Answers

Answer:

[tex]4.5[/tex]

Step-by-step explanation:

In order to find the answer to this question you will first need to convert Lincolns height into a improper fraction and then convert the improper fraction into a decimal number.

[tex]L =4\frac{5}{10}[/tex]

Convert into improper fraction

[tex]4\frac{5}{10} =10 \times4=40+5=45=\frac{45}{10}[/tex]

Convert into decimal by dividing the numerator by the denominator:

[tex]45\div10=4.5[/tex]

[tex]L=4.5[/tex]

Hope this helps.

HELP! WILL GIVE BRAINLIEST!

Based on the graph, is there only one solution?
A. Yes
B. No

Answers

Yes hopes the help because it only one answer

Which graph represents the function f(x)=3/2(2)superscript x? I’ll give Brainliest or whatever

Answers

Answer:D. Last graphHope this helps!!

help me with this question amigos​

Answers

Answer:

-3 and 1

Step-by-step explanation:

(x+3)(x-1)=0

x+3=0

x-1=0

x=-3

x=1

Find the total surface and each pyramid. Round to the sea
SHOW YOUR WORK!

Answers

Answer:

328 square inches

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

Lateral Area of Pyramid:

L = 1/2Pl

l = 15.9

P = 2(8.2) + 2(8.2) = 32.8

L = 1/2(32.8)(15.9) = 260.76

Surface Area:

SA = B + L

B = (8.2)(8.2) = 67.24

L = 1/2(32.8)(15.9) = 260.76

SA = 67.24 + 260.76 = 328

Solve the inequality for x. Be sure to show all work to receive full credit.

−3x + 5 ≤ −16

Answers

Answer:

x ≥ 7

Step-by-step explanation:

First, put the same terms on the same side. So subtract 5 from both sides. You will get:

-3x ≤ -21

Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.

You will get:

x ≥ 7

Therefore, x will be a number that is greater than or equal to 7.

50 points!

a. Use the Point-Slope form to find the equation of the line through the points (-5, 2) and (-2, 6).

b. Write the equation from part (a) above into the General as well as the slope-intercept form showing every step.

c. Find the x and y-intercepts of the equation above.

Answers

Answer:

a) y = 4/3x + 26/3

b) 4x - 3y + 26 = 0

c) x-int: (-6 1/2, 0)

   y-int: (0, 8 2/3)

Step-by-step explanation:

a) to get points into the point-slope form you first find the slope by taking the difference of the y-values over the difference of the x-values;

slope (m) = (6 - 2) / (-2 - -5)  =  4/3

plug 4/3 into 'm' and select one of the two points to plug in their 'x' and 'y' values so you can find 'b' (the y-intercept)

y = mx + b

6 = 4/3(-2) + b

6 = -8/3 + b

b = 6 + 8/3 = 18/3 + 8/3 or 26/3 (or 8.67)

so, put it all together to get the p-s form of y = 4/3x + 26/3

b) general equation is Ax + By + C = 0

take y = 4/3x + 26/3 and multiply each side by 3 to remove denominators

you get: 3y = 4x + 26;  rearrange to get 4x - 3y + 26 = 0

c) y-intercept is (0, 8 2/3); derived during step (a)

to get x-intercept, plug zero in for 'y' and solve for 'x':

0 = 4/3x + 26/3

-4/3x = 26/3

cross-multiply and get 12x = -78

x = -78/12 or -39/6 or -6 1/2

write the fraction 4/10 as a product of a whole number and a unit fraction

Answers

Answer:

Step-by-step explanation:

Answer:

4 x 1/10

Step-by-step explanation:

All you have to do is to add 1/10 + 1/10 + 1/10 + 1/10.

Add the numerators 1+1+1+1=4 and keep your denominator.

So just add 1/10 4 times, thas why the answer is 4 x 1/10.

please help meeeeeeeeeee

Answers

Answer:

check explanation for answers

Step-by-step explanation:

ratios are pretty much just simplified fractions

so just turn the numbers into a fraction and simplify them!

trumpets/violins are 5:3

flutes/clarinets are 17:13

trombones/trumpets are 2:5

violins/total instruments are 12:85

Round 138.867545518 to 4 decimal places.

Answers

The Answer will be 138.8675

Which type of triangle is formed given the following angle measurements?
Angle 1: 50 degrees
Angle 2: 110 degrees
Angle 3: 20 degrees

Answers

An obtuse scalene triangle

Obtuse = an angle over 90
Scalene = three different angles

I need this help me please

Answers

Answer:

 I think its B

Step-by-step explanation:

Find the value of x. 5+x=7

Answers

The value of x is 2.

5+ x (2) = 7
X=2

The value of X when added to 5 has to give you 7. The only value that gives you 7, is 2. (5+2=7)

find the x- and y- intercepts of the following: 10x-4y=-20 ​

Answers

Answer:

y-intercept=5

x-intercept=-2

Step-by-step explanation:

To find the y intercept, plug in 0 for x. So you get 10(0)-4y=-20. Simplify, and clear out the negatives on both sides because they cancel each other out. 4y=20 would be your final equation. y=5.

To find the x intercept, you plug in 0 for y this time. The equation is 10x-4(0)=-20. Simplify to get, 10x=-20. You cannot remove the negative because there isn't a negative sign on the 10x. -20/10 is -2.

please mark brainliest it will help me a lot.

The graph below shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second). What is the slope of the line?

Answers

Answer:

The slope is 3.75 OR 3 3/4.

Step-by-step explanation:

So the formula for slope I am using NOW, is based on the variables I named my dimensions. WARNING: NOT SLOPE FORMULA YOU MIGHT BE USING

y = 95 - 80

x = 10 - 6

Slope Formula: y/x

Substituted Slope Formula: (95 - 80)/(10 - 6)

Simplified Substituted Slope Formula: 15/4 OR 3.75

Hope this helps!!

The slope of the given linear equation is 3.75.

Given that, the graph given shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second).

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

From the given graph we have the coordinates (6, 80) and (10, 95).

The slope of an equation = (y2-y1)/(x2-x1)

=(95-80)/(10-6)

=15/4

=3.75

Therefore, the slope of the given linear equation is 3.75.

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A club is going to raise money by printing calendars with photos of the community. The cost of printing the calendars is $5.50 per calendar. The photographer also charges a one-time cost of $200 for taking the photos. The club has $1500 to cover the initial costs of the calendar. Create an equation that represents the number of calendars the club can print. Use the variable n for the number of calendars

Answers

Answer:

[tex]n = \frac{1300}{5.50}[/tex]

[tex]n = 236[/tex]

Step-by-step explanation:

Given

The cost of printing one calendars [tex]= 5.5[/tex] dollars

The one time charge of taking photo [tex]= 200[/tex] dollars

The total sum of money with the club [tex]= 1500[/tex] dollars

The total sum of money going into printing of calendars [tex]= 1500 -200 = 1300[/tex] dollars

The total number of calendars that can be printed with remaining [tex]1300[/tex] dollars is equal to

[tex]n = \frac{1300}{5.50}[/tex]

[tex]n = 236[/tex]

What is M? Enter only value in response.

Answers

Answer:

x=23

Step-by-step explanation:

132+128+4x+2+5x-11+4x-10=540

13x+241=540

13x=540-241

13x=299

x=23

In an urban area, 31% of dog owners pay for someone to walk their dogs. Morgan asks a random sample of 50 dog owners in this urban area if they pay for someone to walk their dog. What is the probability that more than 30% of the owners in the sample pay for someone to walk their dog?

A. 0.439

B. 0.519

C. 0.561

D. 0.586

Answers

Answer:

c 0.561

Step-by-step explanation:

did the test on edge

The probability that more than 30% of the owners in the sample pay for someone to walk their dog is option c. 0.561.

Calculation of the probability:

Since 31% of dog owners pay for someone to walk their dogs. Morgan asks a random sample of 50 dog

So

= P> ( 0.30 - 0.31) / √0.31 (1 - 0.31)/ 50

= P(z > - 0.1530)

= 0.5608

= 0.561

Hence, the option c is correct.

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