The total cost of the service paid by Isabella is given by the equation
A = $ 92.93
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 paid by Isabella for the services be A
Now , the equation will be
The cost of the service = $ 72.60
The percentage Isabella added as a tip = 20 %
So , the cost after the tip = 72.60 + ( 20/100 ) x 72.60
On simplifying the equation , we get
The cost after the tip = 72.60 + 14.52
The cost after the tip = $ 87.12
Now , the sales tax percentage = 8 % on the cost of service
Substituting the values in the equation , we get
Sales tax cost of the service = ( 8/100 ) x 72.60
On simplifying the equation , we get
Sales tax cost of the service = $ 5.808
Now ,
The total cost of the service A = cost after the tip + Sales tax cost of the service
The total cost of the service A = 87.12 + 5.808
The total cost of the service A = $ 92.928
The total cost of the service A = $ 92.93
Therefore , the value of A is $ 92.93
Hence , The total cost of the service is $ 92.93
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
`d=3t` represents the relationship between the distance `\left(d\right)`in inches that a snail is from a certain rock and the time `(t)` in minutes.
a. What does the number `3` represent? b. How many minutes does it take the snail to get `9` inches from the rock c. How far will the snail be from the rock after `9` minutes?
Answer:a.3 is the coefficient
b.3minutes
c.27inches
Step-by-step explanation:
a. In d=3t equation, d and t are variables. 3 is the coefficient for 't'.
b. In d=3t , d is 9inches.
so 9 = 3t
or t = 9/3 =3minutes
c. In d= 3t, t is 9minutes.
So d= 3*9 = 27inches.
Answer: b.3minutes c.27inches
Step-by-step explanation:
Answer please I don't know this?
Answer:
Its the second one
Step-by-step explanation:
Please help 15 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
100
35/42 is about 83 percent 83 percent of 120 is roughly 100
The answer is 100 females
Answer fast please thank you?
Answer:
its 4-6
Step-by-step explanation:
Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
Julia loves collecting baskets. Every month she adds two new baskets to her collection. In the month of March she has 60 baskets. She’s worried she will soon run out of room in her apartment to keep her baskets. Write an equation that represents the percent of change of her basket collection from the beginning of the year to the end of the year, then solve.
The linear function that represents the amount of baskets in the xth month of the year is given as follows:
The percentage of her collection that she needs to get rid of is of 3.85%.
Linear Function:-
The definition of a linear function is:
y = b + mx
In which the parameters of the equation are given as follows:
•b is the value of y when x=0
•m is the rate of change for each unit of x
Every month she adds 2 new baskets to her collection, hence the slope is of : m = 2
Then: y = b + 2x
From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:
60 = b + 6
b = 54
Hence the equation is: y = 54 + 2x
At the end of the year (12 months) the amount of baskets that she will have is of:
y = 54 + 2 × 12 = 78
Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:
p = 3/78 × 100% = 3.85%.
Answer:
Step-by-step explanation: The linear function that represents the number of baskets in the month of the year is given as follows:
The percentage of her collection that she needs to get rid of is of 3.85%.
The definition of a linear function is:
y = b + mx
In which the parameters of the equation are given as follows:
•b is the value of y when x=0
•m is the rate of change for each unit of x
Every month she adds 2 new baskets to her collection, hence the slope is: m = 2
Then: y = b + 2x
From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:
60 = b + 6
b = 54
Hence the equation is: y = 54 + 2x
At the end of the year (12 months) the number of baskets that she will have is:
y = 54 + 2 × 12 = 78
Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:
p = 3/78 × 100% = 3.85%.
pleace is math of 8th
Answer:
x = 8
Step-by-step explanation:
1/2 x - 2x = -5 -7
(1-4)/2 x = -12
-3/2 x = -12
3/2 x = 12
x = 12 · 2/3
x = 4 · 2
x = 8
identify the slope and y-intercept of the function y = -2x+4
Answer:
Slope = -2
y-intercept = (0, 4)
Step-by-step explanation:
The equation is written in slope-intercept form, y = mx + b, where "m = slope" and "b = y-intercept". Thus, we have to identify what part of the equation is part of each element in slope-intercept form:
Slope-intercept form
y = mx + b
Equation:
y = -2x + 4
m = -2
b = 4
Thus, the slope is -2 and the y-intercept is (0, 4)
A bus travels at a constant speed from point A to point B, which are 600 km apart. Some time later, a motorcyclist begins the trip from A to B, traveling at 100 km/h. The motorcyclist overtakes the bus at 150 km from A, and continues on to point B. The motorcyclist arrives at B, rests for 1 hour, and begins the return trip to A, crossing paths with the bus. When the bus arrives at B, the motorcyclist is 200 km from B. How far from B did the motorcycle and bus meet the second time?
Step-by-step explanation:
the motorcyclist starts x hours after the bus.
it takes the motorcyclist 1.5 hours to meet the bus the first time, 6 hours to reach B, rest 1 hour and go another 2 hours before the bus arrives at B.
so, the bus needs
x + 9 hours to reach B.
x + 1.5 hours for 150 km (for the first meeting with the motorcyclist).
the speed of the bus is 600/(x + 9) km/h or 150/(x + 1.5) km/h.
so,
600/(x + 9) = 150/(x + 1.5)
4/(x + 9) = 1/(x + 1.5)
4(x + 1.5)/(x + 9) = 1
4(x + 1.5) = x + 9
4x + 6 = x + 9
3x + 6 = 9
3x = 3
x = 1
the motorcyclist starts 1 hour after the bus.
the speed of the bus is
600/(x + 9) = 600/(1 + 9) = 600/10 = 60 km/h
when the motorcyclist is starting its return trip, he is 7 hours after his start, and the bus is 7+x = 7+1 = 8 hours after its start, that means at
8×60 = 480 km of its total trip of 600 km.
120 km are still left for the bus to go.
from that point on both travel the same time y going with their speeds until they meet the second time.
the motorcyclist travels 100y km building up distance from B, while the bus travels 60y km reducing the 120 km distance from B.
when they meet the second time, the distance from B for the motorcyclist is the same as the remaining distance for the bus.
so,
100y = 120 - 60y
160y = 120
y = 120/160 = 3/4 = 0.75 hours
so, they meet at
100 × 0.75 = 75 km from B.
Geometry
Answer with a proper explanation
Answer:
15 sides
Step-by-step explanation:
As we know the full angles of a polygon is 360°
And
Each side has angle 24°
So,
n = 360/24
n = 15 sides
I hope my answer helps you.
please help me to answer this (has to do with least common factors and stuff like that)
Answer:
Large gear: 2 revolutions, 24 teeth
Small gear: 3 revolutions, 24 teeth
Step-by-step explanation:
You want the number of teeth that have touched when a 12-tooth gear and an 8-tooth gear turn until they have the same relative position as when they started.
Least common multipleThe least common multiple (LCM) of 8 and 12 is the smallest integer that is a positive integer multiple of both these numbers. That value is ...
24 = 8·3 = 12·2
It is often found quickly by making use of your knowledge of multiplication tables.
How to find itThe LCM can be found by looking at the unique factors of the numbers, taking each to the highest of the powers:
8 = 2³
12 = 2² × 3
Among the factors 2 and 3, the highest powers are 2³ and 3¹, so ...
2³ × 3¹ = 24
is the LCM.
The LCM is also the product of the numbers, divided by their greatest common factor (GCF):
LCM(8, 12) = 8·12/4 = 24
__
Additional comment
The problem statement is telling you to look for the same number in the two right columns of the table. That number is 24. It goes in the blanks at the bottom.
Put an Actual reasonable answer for the question please.
Answer:
D (Alicia did 5 more jumping jacks per minute than Melissa.)
Step-by-step explanation:
Alicia's rate is 30 jumping jacks per minute. You can use the formula m=(y2-y1)/(x2-x1) to find the slope/rate. The two points in the table you can use are (1,30) and (2,60). You can plug those coordinates into the slope formula. (60-30)/(2-1)=30/1= 30 jumping jacks per minute. To find the rate of change/slope for Melissa, you can use the same formula m=(y2-y1)/(x2-x1). The two points you could plug in are (0,0), and (4,100). (100-0)/(4-0)=100/4=25. Melissa does 25 jumping jacks per minute.
Jess lists four factor pairs of 72 and as 2 x 36, 4 x 18, 6 x 12 and 8 x 9. Which factor is a prime number? ( I NEED AN ANSWER ASAP!)
Consider the numbers 13, 16, 27, and 41. a. Which of these numbers are a prime? How do you know? b. Which of these numbers are composite. How do you know? (NEED AN ANSWER ASAP!)
Is the relationship between the distance traveled and the time shown in the graph proportional?
Answer:
NO
Step-by-step explanation:
it's starts at the origin but is not a straight line.
1. A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins and ends with a post. If there are 7 posts, what is the total length of the fence?
Answer:
72
Step-by-step explanation:
First, we will multiply the number of posts (7) by the posts' width (6) to get 42.
Since there is a chain between each post, there are 6 chains.
Multiplying the number of chains (6) by the chains' length (5), we get 30.
The question asks us to find the total length of the fence, so we add 42 and 30 and get 72.
Hope this helps!
Evaluate.
[tex]3 \frac{1}{5}-(-\frac{7}{2})+(-1)[/tex]
Answer:
57/10 or 5 7/10
Step-by-step explanation:
Simplify the following:
3 + 1/5 + 7/2 - 1
Put 3 + 1/5 + 7/2 - 1 over the common denominator 10. 3 + 1/5 + 7/2 - 1 = (10×3)/10 + 2/10 + (5×7)/10 - 10/10:
(10×3)/10 + 2/10 + (5×7)/10 - 10/10
10×3 = 30:
30/10 + 2/10 + (5×7)/10 - 10/10
5×7 = 35:
30/10 + 2/10 + 35/10 - 10/10
30/10 + 2/10 + 35/10 - 10/10 = (30 + 2 + 35 - 10)/10:
(30 + 2 + 35 - 10)/10
| 3 | 5
| 3 | 0
+ | | 2
| 6 | 7:
(67 - 10)/10
| 6 | 7
- | 1 | 0
| 5 | 7:
Answer: 57/10 or 5 7/10
4/5% of 30: Estimate
Answer:0.24
Step-by-step explanation:
Answer:
0.24
Step-by-step explanation:
⅘% of 30
⅘ = 0.8
0.8% of 30
eg: 0.8 = x 30 = y
[tex]\frac{x*y}{100}[/tex] (this is the formula for calculating the percentage of a number)
[tex]\frac{0.8*30}{100}[/tex] = 0.24
Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
Answer:
Step-by-step explanation: try 14
Solve the equation. What is X?
6 ( x − 2 ) = −18
(It is NOT -5, 5, -6, 6 I kept on getting that as the answer)
[tex]6(x-2)=-18[/tex]
Distribute:
[tex](6)(x)+(6)(-2)=-18[/tex]
[tex]6x-12=-18[/tex]
Add 12 to both sides:
[tex]6x-12+12=-18+12[/tex]
[tex]6x=-6[/tex]
Divide both sides by 6:
[tex]\dfrac{6x}{6} =\dfrac{-6}{6}[/tex]
[tex]\fbox{x = -1}[/tex]
What is the slope of the graph?
Answer:2/3
Step-by-step explanation: the line is at the same distance at (-2,-10) as it is at (4,-6)
so from (-2,-10) to (4,-6) is 2 up and 3 over
meaning 2/3 = slope
Write the expression:
subtract 10 from r, then double the result
Answer: (q + 10) - r
Step-by-step explanation:
I need help with my math questions!I added an attachment.
Answer:
Answers below
Step-by-step explanation:
B. is [tex]1 \frac{2}{5} *3=4 \frac{1}{5}[/tex]
C. 75 -:- 2[tex]\frac{1}{5}= 30[/tex]
D. 27-:-6=4.5(or 4 and 1/2)
Consider the 3-digit number which are written by using only the digits 1,2,3,4,5. How many of these have two equal digits and one different digit?
5 3-digit numbers that have three equal digits.
we need to apply the principle of inclusion-exclusion to account for the fact that some 3-digit numbers may be counted multiple times.
any 3-digit number that has three equal digits will be counted twice once as a 3-digit number with two equal digits and one different digit, and once as a 3-digit number with three equal digits.
There are 5 choices for the digit that is repeated, and 1 way to arrange the digits, so there are 5 3-digit numbers that have three equal digits.
Therefore, we need to subtract 5 from the total number of 3-digit numbers that have two equal digits and one different digit.
60 number are 3-digit numbers that have two equal digits and one different digit.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter.
The given digits are,
1, 2, 3, 4, 5.
Since, to find the 3 digits numbers which are written by using given digits, and have two equal digits and one different digit,
Here order of arrangement matters.
Use permutation formula,
From 5 digits, 3 are chosen,
Ways of arrangement = ⁵P₃
= 5! / (5-3)!
= 5! / 2!
= 5 x 4 x 3 x 2! / 2!
= 60
There are total 60 different ways, in which numbers can be arranged.
To know more about Permutation and Combination on:
https://brainly.com/question/13387529
#SPJ2
Prentice Hall Mathematics Course 1 Chapter 2 page. 77
------------------------------------------------
a. COOKING Q: The largest pan of lasagna weighed 3477 pounds. The length of the pan was ten times its width. Write an algebraic expression for the length of the pan of lasagna in terms of its width W.
b. The lasagna measured 7 feet wide. Evaluate the expression to find the length of the pan of lasagna
----------------------------------------------------------------------------------
Please answer this question quick!!
Answer:
sorry I have no clue I don't like mathe either the half of the reason I can't answer it
The expression of length in terms of width is L = 10W and the length of the pan when the width is 7 feet will be 70 feet.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Suppose, the length and width of the pan are L and W corresponding.
As per the given,
(a)
The length of the pan was ten times its width.
L = 10W
The above expression is the length of the pan in terms of width.
(b)
The lasagna measured 7 feet wide.
L = 10 x 7 = 70 feet
Hence "According to the formula L = 10W, the length of the pan will be 70 feet when the width is 7 feet.".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ1
Divide. Express each answer as a decimal. In the space below, be sure to label your answers a, b, c, d.
a. 54
b. 45
c. 3012
d. 1230
Answer: this might be wrong
c
Step-by-step explanation:
Sorry if this is wrong
Answer: c
Step-by-step explanation:
Help again plessssssssss
Answer:
Step-by-step explanation:
20 + 30 + 30 then 792 + 260 get your answer for both and add the answers together
Answer:
Step-by-step explanation:
the answer is 23.4 ?
Geometry
Answer with a proper explanation
Answer:
We know that nonagon have total of 1 260 angles.
1 260 = 8x + 4x
1 260 = 12x
x = 105
Therefore, the value of x is 105.
8 angles have 105 degrees and the other one is 420.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Which points have a distance of 6 units between them?
Select all that apply.
Answer: The answers are A, B, C.
Step-by-step explanation:
Please help due today!!