You and your friends spent $141.60 at Olive Garden. If the bill was only $120 when the check came, what percent of tip did you and your friends leave at the table?
Answers
Step-by-step explanation:
Tip amount = $ 141.60 - $120 = $ 21.60
tip percentage = $ 21.60 / $120 x 100% = 18%
Related Questions
Which of the following is the solution to (x-13)<18
The shadow of a 100 m long vertical pole isof 10 m. Then what will be the angle ofinclination? Round your answer to thenearest tenth of a degree.
5/13t=-9 how to solve
Square root of 135bc^2d^3 x square root of 5b^2d
The number of students that studied 150 or fewer hours was about 168.
The majority of students studied between 122 and 150 hours.
No one studied less than 108 hours.
Answers
Answer:
No one Studied less than 108 hours
Step-by-step explanation:
This is the answer because there were about 5 people that did study less than 108 hours! Hope this makes it easier to read
which means
which means
So, neither of the first two are false.
Depending on your definition of "majority", you could also eliminate the third option. From the above calculations, you know that students that studied between 122 and 150 hours fall within 1 standard deviation of the mean, which corresponds to approximately 65% of the student population. "Majority" is often taken to mean "more than 50%", so this is also true.
This leaves us with the last option. For fun, let's compute that probability.
which means
Answers
Answer:
B' (-2, 3)
Step-by-step explanation:
A(5, 1) to A'(6, -2)
A(6-5, -2-1)
A translation is 1, -3
consider the same translation of B'
therefore, the coordinates of B' is (-2, 3)
Answer:
B. -2, 3
Step-by-step explanation:
edge2021
Answers
The surface area of the balloon to the nearest square centimeter is 168cm^2.
To get the surface area of a sphere, we need to have the radius.
We are given the circumference.
The circumference formula is C=2πr.
We need to solve for r.
23 = 2πr
r=3.66
What is the surface area of the circle?
The surface area is A = 4πr^2.
Use the given values in the formula of the surface area.
A = 4π(3.66)^2
Solve for A.
A= 168 cm^2.
Therefore the surface area of the balloon to the nearest square centimeter is 168cm^2.
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23 = 2πr
r=3.66
The calculation for surface area is A = 4πr^2.
A = 4π(3.66)^2
Solve for A.
A= 168 cm^2.
Answers
30 and 3/4+12 and 1/4+ 16 and 1/4=30+3/4+12+1/4+16+1/4 =30+12+16+3/4+1/4+1/4=58+1+1/4=59+1/4=59 and 1/4
subtract from 72
72-59 and 1/4=72-(59+1/4)=72-59-1/4=71+1-59-1/4= 71-59+1-1/4= 71-59+4/4-1/4=12+3/4
the legnth left is 12 and 3/4 inches
A: add expenses for rent/mortage, utilities, food, and gas. (my answer)
B: Round all expenses down.
C: Add only the rent/mortgage and utility expenses.
D: Estimate that it will be about 20% of your net income.
2. Suppose you have a bi-weekly mortgage payment of $657. If there are typically 4 weeks in a month, what do you need to do to estimate your monthly mortgage payment?
A: Multiply it by 2, then round
B: Round it down to $650, then multiply by 2
C: Add it to other estimates just as it is
D: Multiply it by 4, then round (my answer)
3. Rent is $978. Phone charges last month were $54.89. Groceries cost about $93/week. What is a good estimate of your monthly expenses?
A: $1,126.00
B: $1,100.00
C: $1, 433.00
D: $1,400.00 (my answer)
4. Bi-weekly mortgage is $455. Monthly phone charges are $34.95. The electric bill last month was $65.88. Groceries cost about $87/week. What is a good estimate of your monthly expenses?
A: $643.00
B: $904.00 (my answer)
C: $1,098.00
D: $1,359.00
Answers
2. If the payment is bi-weekly, and there are 4 weeks in a month, you only have to multiply by 2, because "bi-weekly" means every 2 weeks, which means the payment would come twice a month. So, the answer would be A, Multiply by 2 and then round.
3. Round each of the numbers. 978 becomes 980, 54.89 becomes 55, and 93 becomes 90. We'll assume that there are 4 weeks in a month. Add them all up. 980+55+90+90+90+90 = 1395 So, yes, your answer of D, 1,400.00 is a good estimate.
4. Again, round each of the numbers. 455 can stay the same, 34.95 becomes 35, 65.88 can stay at 65 for the sake of easy math, and 87 gets rounded up to 90.
We'll keep assuming that there are 4 weeks in a month. Now, add them all up. Be sure to remember that the rent is bi-weekly, so it has to be added in twice. 455+455+35+65+90+90+90+90 = 1370. This means that of the choices, D, 1,359.00 is a good estimate of the monthly expenses.
Answer:
1. A its not D
2. A
3. D
4. D
100%
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c) y=1/2sinx
d) -1/2xcosx
Answers
Answer:
Option (d)
Step-by-step explanation:
Given,
y" +y=sin x ...........(1)
The particular solution
Putting the value of y" and y in equation (1)
Therefore 2A =0 -2B=1
⇒A=0
Therefore
Final answer:
The solutions of the differential equation y'' + y = sin(x) are y = cos(x), y = (1/2)sin(x), and y = -(1/2)xcos(x).
Explanation:
To determine which of the given functions are solutions of the differential equation y'' + y = sin(x), we can substitute each function into the equation and check if it satisfies the equation. Let's go through each option:
- Substituting y = sin(x) into the equation, we get -sin(x) + sin(x) = sin(x), which is not true. So, y = sin(x) is not a solution.
- Substituting y = cos(x) into the equation, we get -cos(x) + cos(x) = sin(x), which is true. So, y = cos(x) is a solution.
- Substituting y = (1/2)sin(x) into the equation, we get -(1/2)sin(x) + (1/2)sin(x) = sin(x), which is true. So, y = (1/2)sin(x) is a solution.
- Substituting y = -(1/2)xcos(x) into the equation, we get (-1/2)xcos(x) + (1/2)xcos(x) = sin(x), which is true. So, y = -(1/2)xcos(x) is a solution.
Therefore, the solutions of the differential equation y'' + y = sin(x) are y = cos(x), y = (1/2)sin(x), and y = -(1/2)xcos(x).
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