Sales tax and tip will increase the price of an item.
The cost of each meal is: $10.89
Let the cost of both meals be x.
A 20% tip means that, the current price is:
[tex]Price = x \times (1 + 20\%)[/tex]
A 6% sales tax on the meal means that, the current price is:
[tex]Price = x \times (1 + 20\%) \times (1 + 6\%)[/tex]
So, we have:
[tex]Price = x \times (1 + 0.20) \times (1 + 0.06)[/tex]
[tex]Price = x \times (1.20) \times (1.06)[/tex]
[tex]Price = x \times 1.272[/tex]
The amount paid is $27.72
So, the equation becomes
[tex]27.72= x \times 1.272[/tex]
Make x the subject
[tex]x = \frac{27.72}{1.272}[/tex]
[tex]x = 21.78[/tex]
So, the cost of each meal is:
[tex]Each= \frac{21.78}{2}[/tex]
[tex]Each= 10.89[/tex]
Hence, the cost of each meal is: $10.89
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5. Ken was at bat 120 times during the baseball season. If he hit the ball
15% of the time, how many times did he have a hit?
tan(-x) cos(-x) =
Simplify the expression
Answer:
- sin (x)
Step-by-step explanation:
hope this helps :)
Answer: tan(-x) cos(-x) = -sin(x)
Step By Step Explanation:
tan(-x) cos(-x)
Use the negative angle Identity to get:
Cos (x) (-tan(x))
Remove the parenthesis to get:
-Cos (x) tan (x)
Express with sin,cos to get:
-sin(x)
I got my explanation from www.symbolab.com
https://www.symbolab.com/solver/simplify-calculator/tan%5Cleft(-x%5Cright)%20cos%5Cleft(-x%5Cright)%20%3D?or=input
, Hope this Helps :)
Have a great day!!
The graph below shows four straight lines, A, B, C, and D: graph of line A going through ordered pairs negative 2, negative 3 and 2, 5. Graph of line B going through ordered pairs negative 2, negative 4 and 2, 4. Graph of line C going through ordered pairs negative 2, negative 5 and 3, 5. Graph of line D going through ordered pairs 0, negative 4 and 4, 4 Which line is represented by the function f(x) = 2x + 1? (1 point) Group of answer choices Line A Line B Line C Line D
Answer:
Line A is represented by the function f(x) = 2x + 1.
Step-by-step explanation:
The area of a rectangular decki: 15. 75 ft?. If the width
of the deck is 1 foot shorter than the length, what are
the dimensions of the deck?
A 3.0ft by5.25ft
B 3.5 by 4.5ft
C 4.5ft by 5.5ft
D5.5ft by 4.75ft
E 7.5 by 6.5 ft
Right answers please asap
Answer:
B. 3.5 ft by 4.5 ftStep-by-step explanation:
Let the width is x, then the area is:
x(x + 1) = 15.75x² + x - 15.75 = 0Solving we get:
x = 3.5So correct choice is B
If you vertically compress the absolute value parent function, f(x) = \X\, by a
factor of 4, what is the equation of the new function?
A. g(x) = | 4x1 |
B. g(x) = |x - 41 |
C. g(x) = 4|x|
D. g(x) = 1/4 |x|
A giant prepared a big feast. If he invites another giant, they will finish the feast in 10 hours. He decides to invite 4 giants. How many hours will it take him and giant friends to finish the feast?
Answer:
1 1/4
Step-by-step explanation:
sumi bought 3 tickets that cost $7 each. She paid with a $50 bill. How much change should she receive?
Answer:
$29
Step-by-step explanation:
please help!
Question 8 of 10 Allowable tax deductions do not include O A. personal vacation expenses B. charitable donations O c. home mortgage interest costs O D. educational expenses
Answer:
A. Personal vacation expenses
Step-by-step explanation:
Because everything else either helps the community or is a required expense
Which number line shows the location
of 0.3?
There is no picture attached :)
28. Suppose that the CPI in Year 1 is 150 and the CPI in Year 2 is 200. The rate of
inflation between Year 1 and Year 2 is:
a) 14.28%.
I b) 25%
c) 33.33%
d) 50%
The rate of inflation between year 1 and year 2, based on the CPI, is c. 33.33%.
The Consumer Price Index (CPI) allows us to calculate inflation. To find the inflation across these years, use the formula:
= (CPI₂ - CPI₁) / CPI₁ x 100%
Solving gives us:
= (200 - 150) / 150 x 100%
= 33.3%
In conclusion, the inflation is 33.3%.
Find out more at https://brainly.com/question/17329174.
The heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6) , where the units are inches. a) If we randomly sample the heights of five male seniors, what distribution should the sample mean follow? Give your answers to two decimal places.
The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.
N(70.5, 1.16)
The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
What is a normal distribution?A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.
As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.
Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,
[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]
Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
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Find the slope of the tangent line to the given polar curve at the point specified by the value of θ
r = 9 + 8 cos(θ), θ = π/3
The given curve has equation
r(θ) = 9 + 8 cos(θ)
and its derivative is
dr/dθ = -8 sin(θ)
When θ = π/3, we have r (π/3) = 13, and dr/dθ (π/3) = -4√3.
Differentiate these with respect to θ :
dy/dθ = dr/dθ sin(θ) + r(θ) cos(θ)
dx/dθ = dr/dθ cos(θ) - r(θ) sin(θ)
In polar coordinates, we have
y(θ) = r(θ) sin(θ)
x(θ) = r(θ) cos(θ)
and when θ = π/3, we have y (π/3) = 13√3/2 and x (π/3) = 13/2.
The slope of the tangent line to the curve is dy/dx. By the chain rule,
dy/dx = dy/dθ • dθ/dx = (dy/dθ) / (dx/dθ)
dy/dx = (dr/dθ sin(θ) + r(θ) cos(θ)) / (dr/dθ cos(θ) - r(θ) sin(θ))
When θ = π/3, the slope is
dy/dx = (-4√3 sin(π/3) + 13 cos(π/3)) / (-4√3 cos(π/3) - 13 sin(π/3))
dy/dx = (-4√3 (√3/2) + 13 (1/2)) / (-4√3 (1/2) - 13 (√3/2))
dy/dx = - 1/(17√3)
So, the tangent line has slope -1/(17√3) and passes through (13/2, 13√3/2). Using the point-slope formula, its equation is
y - 13√3/2 = -1/(17√3) (x - 13/2)
y = -(x - 338)/(17√3)
help please 100 points!!!!!!!!
What is a benefit of following the recommended daily allowances for carbohydrates?A( It provides the body energy. B(It helps build strong muscles. C( It makes skin healthy. D( It helps build strong bones.
Answer:
A
Step-by-step explanation:
Answer:
The Correct answer is A
Step-by-step explanation:
Mean of first five whole numbers is 3
Answer:
mean of first five whole number = (0+1+2+3+4)/5 = 2
Step-by-step explanation:
Whole is starts from 0.
3and3/4th divided by 2and 1/2
Answer:
1.5
Step-by-step explanation:
3 3/4 ÷ 2 1/2
3/2
= 1.5
Use the formula below to find the 10th term in the geometric sequence.
an = (-2)(3)^n-1
A. -13,122
B. -39,366
C. -118,098
D. -354,294
Answer:
uhhhh I can't explain how but the answer is B. -39,366.
Georgina cooked a 10 1/5 pound turkey in 2 3/5 hours. How many hours per pound did it take to cook the
turkey? Express and explain your answer as a unit rate.
13/51 hours per pound
EXPLANATION
= 2 3/5 hours : 10 1/5 pound
= 13/5 hours : 51/5 pound
= 13/5 × 5/51 hours per pound
= 65/255 hours per pound
= 13/51 hours per pound
#LearnWithEXO
9) What 2 numbers have a total of 28 and a difference of 6?
Answer:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Step-by-step explanation:
The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:
x + y = 28
The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:
x - y = 6
Now solve equation B for x to get the revised equation B:
x - y = 6
x = 6 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 28
6 + y + y = 28
6 + 2y = 28
2y = 22
y = 11
Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:
x + y = 28
x + 11 = 28
X = 17
Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Answer:
17 +11 = 28
hope this helps
Write an absolute value equation of the form |ax+b|=cx+d that has no solution. Assume that a, b, c and d ≠0
9514 1404 393
Answer:
|3x +5| = 3x +1|3x +5| = x -1Step-by-step explanation:
The left-side expression will not intersect the right side expression if the slopes are the same and the y-intercepts are chosen appropriately. An example is ...
|3x +5| = 3x +1
The right-side line stays below the left-side V, so doesn't intersect.
__
You can choose the slopes to be different, also, if you make the intercepts such that the right-side line does not intersect the left-side V. An example of that is ...
|3x +5| = x -1
__
Graphs of the left- and right-side expressions are shown in the attachment.
HELP PLSSSS!!! I will mark you as brainlyist
On Monday, 405 Students went on a trip to the zoo. All 9 uses were filled and 9 students had to travel in cars. How many students were in each bus?
Answer:
Step-by-step explanation:
n = 41
There are 41 students on each bus.
How to tell if a graph is a function in algebra
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once.
Step-by-step explanation:
If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
Solve for Rational Inequality.
(x+3)(X+5)x+2≥0
Natalie uses a 15% off coupon when she buys a camera. The original price of the camera is $45.00. How much money does Natalie save by using the coupon
Answer:
6.75
Step-by-step explanation:
First, I just gave you the answer.
Second, just use it.
find the center and radius of the circle whos equation is (x+5)^2+(y-3)^2=9
9514 1404 393
Answer:
center (-5, 3)
radius 3
Step-by-step explanation:
Compare the given equation to the standard form equation of a circle:
(x -h)² +(y -k)² = r² . . . . . . circle with center (h, k) and radius r
This shows us that ...
-h = +5 ⇒ h = -5
-k = -3 ⇒ k = 3
r² = 9 ⇒ r = √9 = 3
Then the circle center is (h, k) = (-5, 3), and the radius is r = 3.
What is the slope of the line that is perpendicular to the line that passes through the points (-1,3) and (2,-4)?
Please help late assignments
Answer:
what do we hav to do in this please explain
Step-by-step explanation:
Paige bought 1.06 pounds of what is 42.05 what does the lettuce cost per pound pounder to the nearest cent help please
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
1.6 pounds of lettuce costs :
$ 42.051 pound of lettuce costs :
$ 42.05 ÷ 1.06$ 39.66 per poundNO LINKS PLEASE HURRY I REALLY NED HELP!!!
Answer:
The answer is D
Step-by-step explanation:
-7.6+4.17= -3.43x
3.54-1.32= 2.22
Pls give me an answer with step by step explanation