The solution is
The total amount for the lunch is given by the equation A = $ 45.648
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 the total amount for the lunch be represented as A
Now , the equation will be
The amount for the first lunch = $ 12.35
The amount for the second lunch = $ 14.22
The amount for the third lunch = $ 11.47
The percentage of tip = 20 %
So , the total amount for the lunch without tip = $ 12.35 + $ 11.47 + $ 11.47
On simplifying the equation , we get
The total amount for the lunch without tip = $ 38.04
The amount of tip = total amount for the lunch without tip x percentage of tip
Substituting the values in the equation , we get
The amount of tip = 38.04 x ( 20/100 )
The amount of tip = 38.04 x 0.20
The amount of tip = $ 7.608
So ,
The total amount for the lunch A = total amount for the lunch without tip + amount of tip
Substituting the values in the equation , we get
The total amount for the lunch A = $ 38.04 + $ 7.608
The total amount for the lunch A = $ 45.648
Therefore , the value of A is $ 45.648
Hence , the total amount is $ 45.648
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Can you help me I have a basketball game Tuesday and if I don’t pass I can’t play plz !!
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Explanation:
Angles A and B are supplementary which mean they combine to form a straight line. This further means the angles add to 180.
A+B = 180
(8x-27) + (4x+3) = 180
(8x+4x) + (-27+3) = 180
12x-24 = 180
12x = 180+24
12x = 204
x = 204/12
x = 17
Use this x value to find angles A and B
A = 8x-27 = 8*17-27 = 109B = 4x+3 = 4*17+3 = 71Note how A+B = 109+71 = 180 to help verify the answer.
Answer:
109
Step-by-step explanation:
supplementary angles equals 180 degrees
8x-27+4x+3=180
12x-24=180
12x=204
x=17
Then you put the 17 where the x is
8(17)-27=109
I WILL GIVE BRAINLIEST!! PLS HELP
Answer:
BC is congruent to EC by definition of bisect.
<ABE is congruent to <BED by alternate interior angles.
<ACB is congruent to <ECD by vertical angle theorem.
Triangle ABC is congruent to triangle DEC by ASA congruence theorem
Answer:
Ooook. One thing at a time
C is the midpoint of AD and BE: The two segments bisects each other.
Being the midpoint AC≅CD and BC ≅CE.
The triangles are congruent by SSS.
Side note: there are more information than needed. Only the first line (the congruence between the two angles) and the fact that C is the midpoint of BE would be enough to prove the congruence of the triangles. Funnily enough, the second line alone is not enough to prove it tho.
Can someone please help me!!
Q; write the sentence as an equation. 251 is equal to 130 added to q
Answer:
251 = 130 + q
This is d equation
Answer:
251 = q + 130
Step-by-step explanation:
251 is equal to 130 added to q,
→ 251 = q + 130
Let's solve the equation,
→ 251 = q + 130
→ q = 251 - 130
→ [ q = 121 ]
So, the answer is 121.
The number of board games cannot be negative. Write this constraint.
The number of role-playing games cannot be negative. Write this constraint
Step-by-step explanation:
回答 你今天在做什么 我父亲是一个地球仪 并将其邮寄给今日印度的中央政府组 为年轻人提供在线学习 答案是肯定的 我不确定你是否
Consider the line y = 3/5x + 4.
Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1)
Answer:
y=3/5x + 2
Step-by-step explanation:
y-(-1)=3/5(x-(-5))
y+1=3/5(x+5)
5y+5=3x+15
5y=3x+10
y=3/5x+2
Determine the range of the following graph:
Answer:
5,_5,5,
_8,_3,5,
Step-by-step explanation:
from 5 u get _8,from _5 you get _3 and so on
Using partial quotients to solve 604 ÷ 5, which is the best choice for the first number to be subtracted from 604?
500
5
5,000
50
Please be quick
Answer:
500
Step-by-step explanation:
Umm I dont know how to explain but im 100% sure
I got it right on my quiz so...
Answer: 500
Step-by-step explanation:
the first one
The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.
a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.
y = _______
b. Interpret the slope and y-intercept of the line of fit.
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).
Let y represent the total money in thousand dollar saved for x years.
Taking the points (0, -12) and (20, 20).
The equation is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
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Directions: Solve for x, then find each angle measure
Answer:
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
so
9x + 3 + 11x - 21 + 5x - 2 = 180
25x = 180 - 3 + 21 + 2
25x = 200
x = 200 : 25
x = 8
----------------
E = 9 * 8 + 3 = 75°
D = 5 * 8 -2 = 38°
F = 11 * 8 - 21 = 67
-------------------------
check
75 + 37 + 67 = 180°
The required simplified value of the x is 8, as of the given condition.
A figure of the triangle is given, from the measures of the angle we have to determine the value of the x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As for the property of a triangle, the sum of the angle is 180,
5x - 2 + 11x -21 + 9x + 3 = 180
25x -20 = 180
25x = 200
x = 8
Thus, the required simplified value of the x is 8.
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Answer:
Step-by-step explanation:
1.
area of triangle=1/2×12×5=30 in²
2.
obtuse scalene triangle.
Answer:
Step-by-step explanation:
1/2×12×5=30 in²
obtuse scalene triangle
Find the quotient: 8,441 ÷ 21 = ________. (1 point)
400 r 12
400 r 20
401 r 12
401 r 20
Pls Help ASAP!!! Thank you!!
Answer:
401 r 20
Step-by-step explanation:
You are paid 82.50 for 7 1/2 what is ur rate of par
What are complex integers ?
Answer:
In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.
Step-by-step explanation:
Complex Integer
(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.
Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.
The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.
Answer:
An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.
Step-by-step explanation:
what is the equation in slope intercept form of the line that has a slope of -7 and y intercept of 3/11
Answer:
y = -7x + 3/11
Step-by-step explanation:
SOMEONE HELP MEEEEE PLEASEEEEE
Answers:
A.(1.5,0.75)
B.(1.75,0.5)
C.(0.75,1.5)
D.(1.5,1.75)
D is the answer, not A
A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days.
g(n) = 10(1.02)n
What does the average rate of change of the function represent?
A.
the number of days flower grew
B.
the average height of the flower after 5 days
C.
the average growth of the flower from day 1 to day 5
D.
the average time it takes for the flower to grow from 1-5 inches
The expression given represents an exponential growth relation. The average rate of change is the average growth of the flower from day 1 to days 5
The rate of change of the flower can be deduced frommthe equation as :
1.02 - 1 = 0.02Hence, the growth rate of the flower per day = 0.02
The number of days, n = 5
Therefore, the average growth rate is the average growth of the flower within the number of days given.
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Answer:
C
Step-by-step explanation:
I got it right
HURRY! THIS IS OVERDUE!
Pls help! I will mark brainliest!! No links, no stealing points, and only correct answers!!! I will report nonsense answers!!!
In which table does y vary directly with x?
Answer:
Answer is D
Step-by-step explanation:
The equation for D is y = x · 4
X | Y
1 · 4 = 4
2 · 4 = 8
3 · 4 = 12
So Y varies directly with x in table D
What happens if I find the sum of two even numbers
I don't know what you mean by this but you'll just get a value larger than the two sums that you added
5 + 7 = 12
3 + 4 = 7
Answer:
The sum will always be even
Step-by-step explanation:
Four glasses of milk and 3 snack bars have a total of 96 carbohydrates (carbs), and 2 glasses of milk and 4 snack bars have
many carbs are in one glass of milk and in one snack bar,
total of 78 carbs. Determine how many carbs are in one glass of milk
Answer:
Each snack bar contains 12 carbs and each milk contains 15 carbs.
Step-by-step explanation:
Let M be the carbs in milk and S the carbs in a snack bar.
We are told:
4M + 3S = 96, and
2M + 4S = 78
===
We can eliminate one of the variables and then solve for the other. Let's multiply the second equation by -2 and then add it to the first. This will eliminate the M:
4M + 3S = 96
-4M - 8S = -156
-5S = - 60
S = 12
Each snack bar has 12 carbs. Use either equation to find M. I'll use the second:
====
2M + 4S = 78
2M + 4*(12) = 78
2M + 48 = 78
2M = 30
M = 15
Each milk contains 15 carbs
Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be 45 centimeters. How wide will the enlarged picture be? 46.6 cm 43.5 cm 135 cm 44.5 cm
Answer:
43.5 cm
Step-by-step explanation:
The original photocopy's length is 15 cm. If Mona enlarges the photo's length to be 45 cm, we would need to find how much 15 is multiplied by to get 45, so that we can multiply 14.5, the width, by the same amount.
45/15 = 3
14.5 * 3 = 43.5 cm
Answer:
43.5
Step-by-step explanation:
Use the distributive property to
expand the expression below.
6(2a – 3) = [?]a - [ ]
Answer:
12a - 18
Step-by-step explanation:
6 x 2 = 12 (then add the "a" = 12a
6 x 3 = 18
put the minus in the middle then get
12a- 18
I need help with this what is 4x58
Answer:
232
Step-by-step explanation:
4*58=232
Suppose a candy bar weighs ounces. How much does a pack of bars weigh?
Answer: it ways ounces?????????????
Step-by-step explanation:
1,8,27,64
find the rule and show how did you find it
Answer:
Its a cubic number formula
Step-by-step explanation:
1, 8, 27, 64, 125, 216, 343
Which number is both a factor AND a multiple of 4? 1,2,4,8
Answer:
1,2,4,
Step-by-step explanation:
Which sentence in this conclusion paragraph most clearly reminds the reader of the main points?
(1) As the evidence has shown, Faith is not only Goodman Brown's wife but also a symbol of his weakening faith. (2) He ignores her advice not to leave Salem, and he loses her in the woods, two events that show that his faith is fading
(3) Indeed, the ending of the story suggests that his faith is never restored.(4) In many ways, Goodman Brown's relationship with faith and Faith is a warning.
(A. Sentence 1
( B. Sentence 4
( C. Sentence 2
( D. Sentence 3
No links.
Answer:
Step-by-step explanation:
I’m doing this too right now and can’t figure it out
The answer is A. Sentence 1
the ratio of calamansi and pomelo trees in jacintos farm is 8:5. how many trees of each kind are there if there are 793 trees in his farm?
The number of trees calamansi have is 488 trees. The number of tree pomelo trees have in Jacintos farm is 305 trees
From the given information, we learnt that:
The ratio of the calamansi and pomelo trees in Jacintos farm = 8:5
If the total number of the ratio = 8 + 5 = 13
The proportion of the calamansi can be estimated as:
= (8/13) × 793
= 488 trees
The proportion of pomelo trees is:
= (5/13) × 793
= 305 trees
Therefore, we can conclude that the number of trees calamansi have is 488 trees and the number of tree pomelo trees have in Jacintos farm is 305 trees.
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There are 488 calamansi trees
There are 305 jacintos trees
Let x represent the number of calamansi trees
Let y represent the number of Pomelo trees
8 +5= 13
793/13
= 61
8(61)= 488
5(61)= 305
Hence there are 488 calamansi trees and 305 jacintos trees
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Can someone explain the concept of conversion tables to me? I don't understand how to use them, (mainly because of the amount of numbers involved) and I need some help.
Answer:
Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)
Step-by-step explanation:
Please HeLp 100 PoInTs + bRaNlEyIsT
Answer:
It is congruent doe to the angle side angle congruence thereom AKA ASA
Step-by-step explanation:
That means there are two angles and one side in between. A pair of triangles that follow this rule has an angle that is congruent to one angle. Then a side that has a tick mark after the angle must match another. Then the last angle has to match another angle ( and it can't be the same angle as before). Usually the first pair angles have 1 semicircle and the second pair has 2 semicircles.
If i can get 2 prego pasta sauce for $8 how much would it be for 1 prego pasta?
Answer: $4
Step-by-step explanation:
If you have 2 Prego pasta sauces at $8 and you only want half of that (1), you divide 8 by 2 to get 4. 1 pasta sauce equals $4
Answer:
$4
Step-by-step explanation:
divide 8 by two
to find the price of one prego pasta divide the cost of your object by the amount of objects