Answer:
jessie: 14.5
ben: 10.5
Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
what is the answer? I don’t know how to solve it
Answer:
x=5
Step-by-step explanation:
bella answered 33 questions on her math test. she earned a 92% on the test. how many questions did she answer correct
Answer: 30.36
Step-by-step explanation:
92% of 33 is 30.36. I don't know how Bella got 30.36 questions correct, but that is what I got.
Evaluate (―3) for () = 3 +3+ 17
The value when the expression is evaluated will be -19.
How to evaluate the expression?It should be noted that an expression in Mathematics simply means the collect of symbols that can be used to jointly express the quantity that's given.
From the information given, the expression is given as:
= x³ + 3x + 17
when x = -3
= x³ + 3x + 17
= (-3)³ + (3 × -3) + 17
= -27 - 9 + 17
= -19
Therefore, based on the information given, the
value when the expression is evaluated will be -19.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
6 is added to the product of 7 and a number
The value of the expression will be equal to 55.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 6 is added to the product of 7 and a number 7. The expression will be written as,
E = 7 x 7 + 6
E = 49 + 6
E = 55
Therefore, the value of the expression will be equal to 55.
To know more about an expression follow
https://brainly.com/question/11847301
#SPJ2
я
Which expression is equivalent to 15 - 5x? Select all that apply.
A5(x-3)
B. 3(5 - x)
C-5(3 - x)
D. -3(-5 + 2x) + X
E. 5(3-X)
Answer:
D and E
Step-by-step explanation:
A) 5x - 15
B) 15 - 3x
C) -15 + 5x
D) 15 - 6x + x → 15 - 5x
E) 15 - 5x
hi help thank y
5 1/5 + 8 7/20 ?
Answer:
191/20 or 9 11/20
Step-by-step explanation:
Answer:
13 8/25 is the answer
Step-by-step explanation;
Add the whole number2. Add the numerator
3. Add the denominator
Remember the Numerator is above the fraction line.denominator is under.
You should get: 13 8/25
Decimal Form: 13.32
Hope this helps
House contents insurance is charged at the rate of $4.50 per thousand dollars worth of the contents. How much is the insurance if the contents are worth $13 600?
Answer:
188.5
Step-by-step explanation:
13 times 4.50 is 188.5 and theres 13,000
At a bake sale, pies cost $8 each. One customer buys $64 worth of pies.
The customer bought 8 pies.
To find the total amount of pies the customer bought, simply divide 64 by 8 to recieve your answer of 8 pies.
I hope this is correct and helps!
Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
Find the surface area of a right square pyramid if the area of the base is 169 cm² and the slant height of the pyramid is 13 cm.
The surface area of a right square pyramid if the area of the base is 169 cm² and the slant height of the pyramid is 13 cm is 507 cm².
Calculating the surface area of square pyramidWe know that the area of the square base is 169 cm², so we can solve for the length of one side.
To find the length, we use the formula for the area of a square:
Area = length x length
169 = length²
Taking the square root of both sides, we get:
length = √169
= 13 cm
Now we can use the formula for the surface area of a square pyramid:
Surface area = area of base + (1/2)perimeter of base x slant height
The perimeter of the base is 4 times the length of one side, so it is:
perimeter of base = 4 x length = 4 x 13 cm = 52 cm
Plugging in the values we have:
Surface area = 169 cm² + (1/2)(52 cm)(13 cm)
Surface area = 169 cm² + 338 cm²
Surface area = 507 cm²
Therefore, the surface area of the right square pyramid is 507 cm².
Learn more about square pyramid here:
https://brainly.com/question/22744289
#SPJ1
3(x-y) when x=4 and y=1
Answer:
8
Step-by-step explanation:
Plug in variables: 3(x-y)=3(4-1)
Distribute: (3*4)-(3*1)
Solve: 12-3=8
TWO IDENTICAL TRUCK ARE TTRAVELING IN THE SAME AREA. ONE TRUCK IS TRAVELING AT 8MPH, THE OTHER AR 4MPH. THE TRUCK TRAVELING AT 4MPH WILL BE CAPABLE AT BRAKING AT IN ROUGHLY? HOW MUCH OF A DISTANCE THAN THE OTHER TRUCK
The difference between the distance between the two trucks based on the information is 240 miles
Calculations and ParametersTo find the distance for each truck:
8*60 minutes = 480 miles4*60 minutes = 240 miles480-240
=240 miles
Therefore the difference between the distance between the two trucks based on the information is 240 miles
Read more about speed and distance here:
https://brainly.com/question/2854969
#SPJ6
Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
if tan (A) = 3/4, then tan (B) equals
Answer:
i think I will also be =3/4
HELP HELP HELP MATH⚠️⚠️⚠️⚠️⚠️
Find four consecutive integers with the sum of 2021
Answer:
This problem has not solution
Step-by-step explanation:
lets the integers be:
x
x+1
x+2
x+3
so:
x+(x+1)+(x+2)+(x+3)=2021
x+x+x+x+1+2+3=2021
4x+6=2021
4x=2021-6=2015
x=2015/4=503.75
x is not a integer
Có ba kiện hàng, mỗi kiện có 20 sp. Số sp loại I trong 3 kiện lần lượt là 14, 15, 16. Chọn ngẫu nhiên 1 kiện và từ kiện đó chọn ngẫu nhiên 3 sp.
a. Tính xác suất để 3 sp được chọn là sp loại I.
b. Giả sử đã chọn được 3 sp loại I. Tính xác suất để 3 sp loại I này thuộc kiện thứ nhất.
A box of cereal weighs 600 grams. How much is this weight in pounds? (Note: 1 kilogram = 2.2 pounds)
Answer:
0.882
Step-by-step explanation:
Finds out how much grams equal lbs then do 400 times the number you just found then you get your answer
Plz mark brainliest
Expand the function.
f(x) = (3x-4)4
81x4 − 432x³ + [? ]x²
+
-
X +
PLS HELP
The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)
To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:
\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)
where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).
Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:
\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)
Simplifying each term, we get:
\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)
Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).
Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.
For more question on function visit:
https://brainly.com/question/11624077
#SPJ8
Note the complete question is
The manager of the zoo where the ticket price for an adult is $9.50 and the ticket price for a child is $6.50 wants to make at least $800 on a Saturday. Let x be the number of adult tickets and y be the number of child tickets. Choose the inequality that shows the numbers of tickets that need to be sold.
Answer:
\(9.5x+6.5y\geq $800\)
Step-by-step explanation:
9.5 in value of adult tickets. 6.5 is value of children's tickets. combined selling of all of them should be greater than or equal to 800 ("atleast" in the question shows it can be more but cannot be less)
Which of the following represents a function
Answer:
The last one
Step-by-step explanation:
Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options. 5(x2 + 4x + 4) = –7 + 20 x + 2 = Plus or minus StartRoot StartFraction 27 Over 5 EndFraction EndRoot 5(x2 + 4x) = 7 5(x2 + 4x + 4) = 7 + 20 5(x2 + 4x) = –7
The solutions to the quadratic equation \(5x^2 + 20x - 7 = 0\) are\(x = -2 + \sqrt{(23/5)\) and \(x = -2 - \sqrt{(23/5)\).
A quadratic equation is a second-degree polynomial equation of the form \(ax^2 + bx + c = 0\), where x is the variable, and a, b, and c are coefficients, where a is non-zero.
The square root is an important mathematical concept that arises in many areas of mathematics and science, such as geometry, algebra, and physics. It is used to calculate the length of sides of a right triangle, to solve quadratic equations, and to model the behavior of physical systems
The three steps Sergey could use to solve the quadratic equation by completing the square are:
Rewrite the equation in the form \(ax^2 + bx + c = 0\).
Add and subtract \((b/2a)^2\) to complete the square:
\(5(x^2 + 4x + 4 - 4) = 7\)
Simplify the left side and solve for x by taking the square root:
\(5(x + 2)^2 = 11\)
\((x + 2)^2 = 11/5\)
\(x + 2 = \pm \sqrt{(11/5)\)
\(x = -2 \pm \sqrt{(11/5)\)
Therefore, the three correct options are:
\(5(x^2 + 4x + 4 - 4) = 7\)
\(5(x + 2)^2 = 11\)
\((x + 2)^2 = 11/5, x = -2 \pm \sqrt{(11/5)\)
Learn more about square root :
https://brainly.com/question/29286039
#SPJ1
A statistical test always produces evidence, but never _________.
A statistical test always produces evidence, but never complete evidence.
What is a statistical test ?A statistical test is a way to determine if a claim (like a hypothesis) about a quantitative attribute of a population is true or not. As a result, it serves as a tool for making quantitative assessments of a process or processes.
The objective is to determine whether there is enough evidence to "reject" a process theory or hypothesis. In other words, a statistical test will always yield evidence, but this evidence is never a full indicator; it is either sufficient or it is not.
Find out more on statistical tests at https://brainly.com/question/15395734
#SPJ1
please help me !!! continuity
for the function
The function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4 is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4
What is the continuity of a function?A function is said to be continuous if there are no breaks or jumps in the functions
Conditions for continuity of a function
The function exists at x = aThe limit of the function as x approaches a existThe limit of the functions a s x a pproaches a equals the value of the function at x = a.Now, for the given function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4
We need to determine the interval of continuity, We proceed as follows.
Since f(x) = sin⁻¹x, x ≠ π/4 , we know that the minimum value of x is - 1 and its maximum value is 1.
So, x must lie in the interval (-1, 1) for x ≠ π/4,
Now, when x = π/4 f(x) = sinx. We know that x = π/4 lies in the interval (-1, 1).
But we know that f(x) = sinx at x = π/4. So, there is a removable discontinuity at x = π/4.
So, from the left, f(x) is continuous on the interval [-1, π/4) and from the right, f(x) is continuous on the interval (π/4, 1]
So, combining both intervals, we have f(x) is continous on the interval [-1, π/4) ∪ (π/4, 1] and since f(x) = sinx at x = π/4, there is a removable discontinuity at x = π/4
So, the function f(x) is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4
Learn more about continuity of a function here:
https://brainly.com/question/28830920
#SPJ1
Here is a list of numbers.
8 9 10 11 12 13 14
From the list write
a a multiple of 7
b a factor of 24
c a prime number
thank you! :))))
After graduating from college, Trevor gets a job at a software company with a starting salary of 50,000 dollars and is given a 10% raise every year. After 10 years, what will his total earnings have been at the company? (Round to the nearest dollar)
Answer:
796871
Step-by-step explanation:
Based on the given conditions, formulate:
5000 x (1 - (1 + 10%) 10)
-------------------------------
1 - (1 + 10%)
Evaluate the equation/expression:
796871.23005
Find the closest integer to
798871.23005
= 796871
I need help on question 27
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
If A = 136 when \(b_{1}\) = 7 and h = 16, find \(b_{2}\)
Givens:We are given the equation that we are working with:
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
We are given certain values that the variables, in this case, are equal to:
A = 136
\(b_{1}\) = 7
h = 16
Steps:Substitute the given variables in the given equation for the corresponding numbers:
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))
We know all the values in the equation except \(b_{2}\). In order to find \(b_{2}\) we must isolate it on one side of the equation
136 = 8 (7 + \(b_{2}\))
\(\frac{136}{8}\) = \(\frac{8 (7 + b_{2}) }{8}\)
17 = 7 + \(b_{2}\)
17 - 7 = 7 - 7 + \(b_{2}\)
10 = \(b_{2}\)
Check:If \(b_{2}\) is equal to 10 then if we plug it back into the given equation both sides of the equation should equal each other. Remember to use PEMDAS
136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))
136 = \(\frac{1}{2}\) * 16 (7 + 10)
136 = \(\frac{1}{2}\) * 16 (17)
136 = 8 (17)
136 = 136
\(b_{2}\) = 10
What is the midpoint of the segment shown below?
O A. (5,3)
O B. (5,6)
O C. (, 3)
O D. (56)
The midpoint formula is basically (averaging the x coordinates, averaging the y coordinates).
Point A: (3, 7)
Point B: (2, -1)
Midpoint x: (3 + 2) / 2 = 5 / 2
Mindpoint y: (7 - 1) / 2 = 3
Therefore, the midpoint of the segment is choice C (5/2, 3)
Answer:
Correct answer is Option C: \((\frac{5}{2} , 3 )\)
Step-by-step explanation:
Given points (3, 7) and (2, -1), we can use the following Midpoint Formula to find out what is the halfway mark of the given segment:
\(M = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)
Let x1 = 3
x2 = 2
y1 = 7
y2 = -1
Plug in these values into the Midpoint formula:
\(M = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)
\(M = (\frac{3 + 2}{2} , \frac{-1 + 7}{2} )\)
\(M = (\frac{5}{2} , \frac{6}{2} ) = (\frac{5}{2} , 3 )\)
Therefore, the midpoint of the given segment is \((\frac{5}{2} , 3 )\).
using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
IF YOU HELP ME ILL give U 2$ AFTER UR DONE
Triangle ABC is defined by the points A(-2, 4), B(6,2), and C(1,-1). Using what you know about the distance formula, what type of triangle would ABC be?
Answer:
LOL i dont need money jus mark me brainliest :P
Step-by-step explanation:
\(distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)
\(AB = \sqrt{(6--2)^2 + (2-4)^2} = \sqrt{8^2 + 2^2} = \sqrt{68}\\\\BC = \sqrt{(1-6)^2 + (-1-2)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}\\\\AC= \sqrt{(1--2)^2 + (-1-4)^2}} = \sqrt{3^2 + 5^2 } = \sqrt{34}\)
\(Clearly, this\ satisfies \ the\ Pythagoras\ theorem : AC^2 = AB^2 + BC^2\)
\((\sqrt{68})^2 = (\sqrt{34} )^2 + (\sqrt{34} )^2\\\\68 = 34 + 34 \\68 = 68\\Hence\ satisfies .\)
Therefore, the triangle ABC is a right angle triangle.