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
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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Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the cookies, how much sugar (s) did she have before she started baking cookies? Which equation would you use to solve for (s)?
Answer:
7 5/6
Step-by-step explanation:
1 1/2= 1 3/6
6 1/3= 6 2/6
1 3/6
+6 2/6
————-
7 5/6
Solve the following problems.
1) Hardy's plant grows rapidly. It grows by 10 cm every 2
years. How much taller will Hardy's plant be in 5 years?
Answer:
it should be 25 cm
Step-by-step explanation:
c=cm, y=years
10/2= 5,
5x5=25
5c + 5c +5c +5c +5c = 25c
so yeah, that's about it. I hope i helped you
Answer:
yuh the answer 25 my G
Step-by-step explanation:
not a question but thamks for helping
Answer::))
Step-by-step explanation::))
Answer:
Your welcome
Step-by-step explanation:
indeed it is humourous
The seventh-grade students at Alaniz Middle School went on a field trip. At lunch
17 students drank lemonade. This represented 20% of the students on the field
trip. How many Students were on the field trip?
Answer:
85 students
Step-by-step explanation:
If 17 = 20%
It means is the fifth part of 100%
Because 20% * 5 = 100%
With that logic if we multiply the amount of students by 5 we will get the total of students.
17*5= 85
Hope it was helpful ;)
What is sum of the vectors, LeftAngleBracket 4, negative 5 RightAngleBracket and LeftAngleBracket 10, 2 RightAngleBracket?
ANSWER: B
14,-3
Answer:
14,-3
Step-by-step explanation:
Answer:
14, -3
Step-by-step explanation:
I got it right edg 2023
Help ASAP!! I’m confused and need help. Thanks!!
What is the total surface area of the
triangular prism?
2.8 m
2.8 m
2 m
4 m
4 m
Answer:
2 m.....that's it
try it
compare-and-contrast analysis of how culture shapes the heroes in Heart of a Samurai and Black Ships Before Troy. Use transition words in your draft to help clarify relationships of ideas. KWHL What do you know? What do you want to know? How will you learn? What have you learned?
Answer:
Culture has a significant impact on heroes. For starters, it influences how a person or character perceives a particular situation or idea, as well as their point of view on a variety of ideas and topics. Next, it has an impact on how the hero is portrayed in the story. Third, it influences how a character reacts to an idea or situation.
Culture has an impact on heroes. We see an example of this in 'Black Ships Before Troy,' where in Achilles' culture, to be a hero, you must be brave and fight. This is also evident in 'Heart of a Samurai,' where Manjiro's culture dictates that in order to be a hero, you must provide for your family.
Solving steps and answer!
Answer:
[tex]h = 162.0\ cm[/tex]
Step-by-step explanation:
Given
[tex]BSA = \frac{\sqrt{w*h}}{60}[/tex]
Required
Find h, when BSA = 1.5 and w = 50
We have:
[tex]BSA = \frac{\sqrt{w*h}}{60}[/tex]
Substitute 1.5 for BSA and 50 for w
[tex]1.5 = \frac{\sqrt{50*h}}{60}[/tex]
Multiply both sides by 60
[tex]60*1.5 = \frac{\sqrt{50*h}}{60}*60[/tex]
[tex]60*1.5 = \sqrt{50*h[/tex]
[tex]90 = \sqrt{50*h[/tex]
Square both sides
[tex]90^2 = (\sqrt{50*h})^2[/tex]
[tex]90^2 = 50*h[/tex]
[tex]90^2 = 50h[/tex]
[tex]8100 = 50h[/tex]
Divide both sides by 50
[tex]\frac{8100}{50} = \frac{50h}{50}[/tex]
[tex]\frac{8100}{50} = h[/tex]
[tex]162 = h[/tex]
[tex]h = 162[/tex]
[tex]h = 162.0\ cm[/tex]
Hence, the patient's height is 162.0cm
Carol bought 8 mangoes for N160.00 and sold each one for N25.00.what was his percentage gain?
Answer:
20%
Step-by-step explanation:
8 × 25 = 200
200 × 20% = 160
ASAP PLS MARKING BRAINLIEST PLSSSSS
HELP NOWW!!!
PLSS I NEED HELP RIGHT NOWWW!!
PLS HELP
Answer:
x = 55
Step-by-step explanation:
Draw a line parallel to the top and bottom parallel lines so this new line goes through the pointed end of x.
Draw another line parallel to the top and bottom lines through the pointy end of 45.
The bottom angle of the line through 45 is 15 degrees (alternate interior angles.
The top angle is 45 - 15 = 30
The bottom angle of the line going to x is 150 degrees. It and the 30 degree angle make 180. 30 + 150 = 180
One final observation The top angle of made by the line going through x is 180 - 25 = 155
What you have now is
155 + 150 + x = 360
305 + x = 360
x = 360 - 305
x = 55
A town has a population of 13,000 and grows at 4.5% every year what will be the population after 13 years to the nearest whole number
Answer:
23,039
Step-by-step explanation:
13,000×1.045¹³ ≅ 23,039
Which equation is equivalent to x + 8 = 21?
A. (x + 8) × 4 = 21
B. (x + 8) × 4 = 21 ÷ 4
C. (x + 8) × 4 = 21 × 2
D. (x + 8) × 4 = 21 × 4
The equation that is equivalent to x + 8 = 21 is (x + 8) × 4 = 21 × 4
Given the equation
x + 8 = 21To get a similar expression we will either subtract, multiply, divide or add the same constant to both sides of the equation
Multiplying both sides by 4 will give:
x + 8 = 21(x + 8) * 4= 21 * 4Hnce the equation that is equivalent to x + 8 = 21 is (x + 8) × 4 = 21 × 4
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People use water to cook, clean, and drink every day. An estimate of 17.3% of the water used each
day is for drinking. If a family uses 69.2 gallons of water a day for drinking, how many gallons do
they use every day?
Answer:
They use 4 gallons a day. Hope u helped!
4x=-20 solve for x show ur work
Answer:
The answer is x=-5
Step-by-step explanation:
Step 1: Divide both sides by 4.
4x /4 = −20/4
x=−5
Simplify the imaginary number using the properties of exponents.
¡102
Answer: Explanation: 102=2⋅51. i102=(i2)51=(−1)51=−1.
Step-by-step explanation:
help please, i’ll mark brainliest
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The corresponding sides are proportional:
(2x +1)/5 = (x +2)/3
3(2x +1) = 5(x +2) . . . . . cross multiply
6x +3 = 5x +10 . . . . . . . eliminate parentheses
x = 7 . . . . . . . . . . . . . . . subtract 5x+3 from both sides
hey anyone mind helping out
Answer:
The answer is A
Step-by-step explanation:
The function D =25+0.3 X represents the daily dental charge D in dollars for X miles driven
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]D = 25 + 0.3X[/tex]
The question has missing details; as what's required is not stated.
However, since it is a linear equation, possible questions could be
1. Determine the slope
2. Determine the D-intercept
3. Calculate the amount in dollars for (say) 5 miles
An equation is represented as:
[tex]D = b + mx[/tex]
Where
[tex]b = D\ intercept[/tex]
[tex]m = slope[/tex]
By comparing: [tex]D = 25 + 0.3X[/tex] to [tex]D = b + mx[/tex]
[tex]b = 25[/tex] and [tex]m = 0.3[/tex]
This means that the slope is 0.3 and the d intercept is 25
To get the amount for 5 miles, we substitute 5 for x in [tex]D = 25 + 0.3X[/tex]
[tex]D = 25 + 0.3 * 5[/tex]
[tex]D = 25 + 1.5[/tex]
[tex]D = 26.5[/tex]
The cost of 5 miles is $26
Make use of the above explanation to solve the question
If one side of a square is increase by 10 units, the area of the rectangle formed is 3 times the area of the square. Find the area of the rectangle.
Answer:
75 square units
Step-by-step explanation:
(x+10)x=3x^2
x^2+10x=3x^2
10x=2x^2
5x=x^2
x=5
Plugging in 5 into either of the initial equations yields the answer.
what percent of 467.00 80%
Answer:
80% of 467 is 373.6
Step-by-step explanation:
Answer:
I beleive the answer to your question is 373.6.
Step-by-step explanation:
80% of 467 is 373.6. Or your answer is 93.4. because 373.6 minus 467 is 93.4
What is the solution to the system of linear equations graphed here?
A (2, -1)
B) (-1,2)
C (2, 1)
D) No Solution
Answer:
the solution is (-1, 2).
4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)
Answer:
A). (1, 7)
Step-by-step explanation:
-3x – 2y = -17
9x + 2y = 23
____________+
6x = 6
x = 6/6
x = 1
9x + 2y = 23
9(1) + 2y = 23
9 + 2y = 23
2y = 23 - 9
2y = 14
y = 14/2
y = 7
If you use 104 kiloliters of water per year, approximately how many liters of water do you use in a day?
2,000 liters
0.28 liters
285 liters
85 liters
There is a total of 56 tiles.
(b) Work out the number of grey tiles.
Jamie can paint a wall in 54 minutes Together Connie and Jamie can paint the same wall in 36 minutes How long would it take Connie to paint the same wall by herself
Answer:
The answer is 108
Step-by-step explanation:
I did this for my exam got 100
Together they can paint 5/108 of a wall in 1 minute. So they can paint the entire wall in 108 minutes.
We have given that,
John can paint 1/54 of a wall in 1 minute.
James can paint 1/36 of a wall in 1 minute.
What is the formula for total wall paint in one minute?Total wall paint of both in one minute is calculated by adding the both the paint in one minute it gives us the total paint in one minute
Therefore ,total wall paint in one minute =1/54 + 1/36
So if they work together, they can both paint 1/54 + 1/36 of a wall in 1 minute.
1/54 + 1/36 = 2/108 + 3/108 = 5/108 = 0.04629.
Therefore,together they can paint 5/108 of a wall in 1 minute. So they can paint the entire wall in 108 minutes.
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Please help im struggling with this unit pls help
Answer:
C) (1, -3/2)
Step-by-step explanation:
the midpoint formula is the sum of the x-values divided by 2 followed by the sum of the y-values divided by 2
points: (1, 2) (1, -5)
[(1+1)/2, (2 + -5)/2]
(2/2, -3/2) or (1, -3/2)
Which type of triangle is formed given the following angle measurements?
Angle 1: 50 degrees
Angle 2: 110 degrees
Angle 3: 20 degrees
State a, b, and the y-intercept then graph the function and describe the end behavior of the grpahs
9514 1404 393
Answer:
9. a = 3, b = 3, y-intercept = 3
10. a = 5, b = 0.6, y-intercept = 5
Step-by-step explanation:
The picture is fuzzy, but we think the given equations are ...
[tex]\text{9. }f(x)=3(3)^x\\ \text{10. }f(x)=5(0.6)^x[/tex]
You are comparing these to the form ...
[tex]f(x) = a(b)^x[/tex]
so the values of 'a' and 'b' should be readily identifiable. The y-intercept in each case is y = a.
The end behavior depends on whether b > 1 or not. Growth functions (b>1) go to 0 on the left and ∞ on the right. Decay functions (b<1) are the reverse.
__
9. a = 3, b = 3, y-intercept = 3
The end behaviors are (x, f(x)) ⇒ (-∞, 0), (∞, ∞).
__
10. a = 5, b = 0.6, y-intercept = 5
The end behaviors are (x, f(x)) ⇒ (-∞, ∞), (∞, 0).