Answer:
she would have to pay 42 dollars for 14 rides
so $3 for each ride 3* 14 is 42 or just add 3, 14 times
Three friends decide to evenly split their bill at a restaurant. The total bill is $84.99 and they will have to pay an additional $5.10 tax. One of the friends determines that each person owes $45.04. Estimate the amount each person should owe. Is the friend's calculation reasonable? Select from the drop-down menus to complete the sentence. The friend's calculation because each person should owe about .
Given : The Total Bill at the Restaurant is $84.99
Given : The Additional Tax is $5.10
⇒ Total Bill Including the Tax is : (84.99 + 5.10) = $90.09
Given : Three Friends decide to evenly split their Bill
⇒ $90.09 should be Divided into 3 Equal Parts
[tex]\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = (\frac{90.09}{3})}[/tex]
[tex]\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = 30.03\;Dollars}[/tex]
His Friend Calculation is not Reasonable
The friend's calculation of each person owing $45.04 is not reasonable as the correct amount should be $30.03 per person when evenly splitting a bill of $84.99 with an additional $5.10 tax.
To determine whether the friend's calculation of $45.04 each for splitting a bill of $84.99 with an additional $5.10 tax is reasonable, let's calculate the correct amount each person should owe. First, we combine the total bill and tax: $84.99 + $5.10 = $90.09. Then, we divide this total by three, as there are three friends: $90.09 / 3 = $30.03 per person.
The friend's calculation is not reasonable because each person should owe about $30.03, not $45.04. The estimate of $45.04 is significantly higher than the accurate calculation.
Please help me!!!! PLEaaAe because my teacher won’t :~~(
Answer:
min = 67, Q1 = 68, median = 70,
Q3 = 76, max = 78
We have 9 observations.
The correct set of data is:
67, 74, 78, 69, 78, 70, 67, 72, 69
When we rearrange this set of data in numerical order, we have:
67, 67, 69, 69, 70, 72, 74, 78, 78
Probability and Stat. Help
Answer: 0.6 (choice B)
x = number of days the book has been checked out
Check out the attached image below. I've marked 3 boxes in red to represent the bars that span from x = 9 to x = 18. The heights of these bars add up to 0.15+0.30+0.15 = 0.45+0.15 = 0.60
So if we randomly pull out a book, then the chances of picking a book that has a x value between 9 and 18 (including 9; excluding 18) is 0.60
use the explicit formula to find the 41st term of the sequence, 10,4,-2,-8
GIVING 65 POINTS
What we know here is that the pattern subtracts 6 every nth value progression.
We can create a explicit formula for this sequence.
let the output be f(n)
let term # = n
so the formula would be...
[tex]f(n)=10-6(n-1)[/tex]
If we plug in the value 41 for n
[tex]f(n)=10-6(41-1)\\f(n)=10-6(40)\\f(n)=10-240\\f(n)=-230[/tex]
41st term of the sequence is -230
Select the descriptions that are true of the equation y - 6= - 3(x+2). Select all that apply.
slope = 1
slope = -3
(2, -2) is a point on the line.
(-2, 6) is a point on the line.
Select the equation written in point-slope form.
2x - y=4
y=2x-4
y+2=2(x - 1)
y - x=4
The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We have
[tex]y-6=-3(x+2)\to y-6=-3(x-(-2))[/tex]
Therefore
slope = -3 and the point (-2, 6)------------
y + 2 = 2(x - 1)2x - y = 4 it's standard form Ax + By = C
y = 2x - 4 it's slope-intercept form y = mx + b
y - x = 4 → x - y = -4 t's standard form Ax + By = C
Audrey's parents give her $5 to play video games at the mall.Each games costs a quarter to play.which choice is NOT a correct method for determining the total #of games she can play. A.Take the #of dollars she has and divide it by 1/4. B.Take the # of dollars she has and multiply it by 4. C.Take the # of dollars she has and divide it by 0.25. D.Take the # of dollars she has and multiply by 0.25
Answer:
Step-by-step explanation:
If answer A works then so will Answer A. The reason is because 1/4 and 0.25 are equal to one another. The only comment you should recognize is that
5/0.25 is a whole lot easier to do than 5/(1/4)
B is the same thing as C when you apply the division by fractions rule.
D is the odd method out. Instead of 20 games (5 * 4) she will only get to play 4. That because she has 5 dollars and if you multiply by 0.25 you get 1.25 games
I'm literally so confused right now please help!!!
Answer:
250
75
40
Step-by-step explanation:
The pattern is 25
4*25= 100
10*25= 250
3*25= 75
40*25=1000
TANGENT LINES FIND PERIMETER
The salaries of the employees at four companies are summarized below. Answer the questions about them.
(a) Company D has the least variability because it has the smallest range.
(b) Company A has the highest salaries, on average, because it has the largest mean salary.
(a) The company with the least variability in salaries is Company A, with a coefficient of variation of approximately 234.62.
(b) The company with the highest average salary is Company A, with a mean salary of $26,000.
(a) Variability of Salaries:
Variability in this context refers to how spread out the salaries are within each company.
Company A has a mean salary of $26,000 and a range of $61,000. Company B has a mean salary of $23,000 and a range of $66,000. Company C has a mean salary of $24,000 and a range of $69,000. Company D has a mean salary of $25,000 and a range of $60,000.
Calculating the coefficient of variation (CV) for each company will provide a clearer picture of the relative variability. The CV is obtained by dividing the standard deviation by the mean and multiplying by 100. Since the standard deviation is not given directly, we can infer that the coefficient of variation will be highest for the company with the largest range.
The CV for each company is as follows:
CV for Company A = (Range of Salaries / Mean Salary) * 100 = (61000 / 26000) * 100 ≈ 234.62
CV for Company B = (66000 / 23000) * 100 ≈ 286.96
CV for Company C = (69000 / 24000) * 100 ≈ 287.50
CV for Company D = (60000 / 25000) * 100 = 240.00
(b) Highest Average Salaries:
To identify the company with the highest average salary, we compare the mean salaries of each company.
Company A: Mean Salary = $26,000
Company B: Mean Salary = $23,000
Company C: Mean Salary = $24,000
Company D: Mean Salary = $25,000
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Trayvon bought 3 gallons of milk at the supermarket. How many quarts of milk did he buy?
Answer:
There are 4 quarts in a gallon. 3x4=12. He bought 12 quarts of milk.
Step-by-step explanation:
what is the r^2 value of the following data to three decimal places???
Answer:
0.783
Step-by-step explanation:
To find first r and then r square for the data
n statistics, the coefficient of determination, denoted R2 or r2 and pronounced "R squared", is the proportion of the variance in the dependent variable that is predictable from the independent variable(s).
correlation coefficient of x and y = Cov (x,y)/std dev x * std dev Y
Cov (x,y) = E(xy) -E(x)E(y)
Hence calculations would be as follows:
x y xy
1 2 2
2 10 20
5 5 25
7 18 126
10 25 250
Mean 5 12 84.6
Cov E(xy)-E(x)E(y) 24.6
r 0.884640297
r^2 0.782588454
so answre is 0.783 after rounding off.
Answer:
0.783
Step-by-step explanation:
mr. wilson paid $45 for honey. this amount includes a tax of 8%. what was the cost of the honey before tax?
Answer:
$3.60
Step-by-step explanation:
Answer:
$41.40
Step-by-step explanation:
You just have to do $45.00-8%
Can someone please help?!
Write a function for the following-
rotation of 90 degrees counterclockwise about the origin, point O
rotation of 180 degrees counterclockwise about the origin, point O
rotation of 270 degrees counterclockwise about the origin, point O
This is a unit activity from Plato for Geometry A the first unit activity, please help, Thankss!
Answer:
1. [tex]R_{90} (x,y)=(-y,x)[/tex]
2. [tex]R_{180} (x,y)=(-x,-y)[/tex]
3. [tex]R_{270} (x,y)=(y,-x)[/tex].
Step-by-step explanation:
Let us assume a point (x,y) in the co-ordinate plane on which the transformations will be applied.
Now, we know that 'rotation' is a transformation that turns that image to a certain degree about a point.
So, the given transformations gives us the forms as:
1. When we rotate an ( x,y ) by 90° about origin counter-clockwise, the resultant co-ordinate is ( -y,x ).
So, the function form is [tex]R_{90} (x,y)=(-y,x)[/tex].
2. When we rotate an ( x,y ) by 180° about origin counter-clockwise, the resultant co-ordinate is ( -x,-y ).
So, the function form is [tex]R_{180} (x,y)=(-x,-y)[/tex].
3. When we rotate an ( x,y ) by 270° about origin counter-clockwise, the resultant co-ordinate is ( y,-x ).
So, the function form is [tex]R_{270} (x,y)=(y,-x)[/tex].
Final answer:
To write functions for rotations around the origin, one can use the standard rotation matrices. For 90 degrees counterclockwise, the point (x, y) goes to (-y, x); for 180 degrees, it goes to (-x, -y); and for 270 degrees, it goes to (y, -x), keeping the distance to the origin invariant.
Explanation:
To solve the problem of finding a function for a rotation about the origin, O, in a counterclockwise direction, we need to consider the standard rotation matrices. The coordinate system rotates counterclockwise, while a point x, y remains fixed but its coordinates change relative to the new axes.
For a rotation of 90 degrees counterclockwise, the coordinates of a point (x, y) change to (-y, x).
For a rotation of 180 degrees counterclockwise, the coordinates of a point (x, y) change to (-x, -y).
For a rotation of 270 degrees counterclockwise (equivalently 90 degrees clockwise), the coordinates of a point (x, y) change to (y, -x).
These transformations ensure that the distance of point P to the origin remains invariant under the rotations, as can be verified through the Pythagorean theorem showing that the sum of the squares of the coordinates remains unchanged: x² + y².
what is the solution of 3p+2≥−10
Answer:
the solution os 3p+2≥-10 is p≥-4
Step-by-step explanation:
So.... 3p+2≥-10
-2 -2
3p≥-12
and then you divide...... 3p≥-12
3 3
p≥-4
to give money and spread awareness of homelessness Alaska made an organization and gets money for the homeless from fees from new members.There were 587 new members that were 18-24 years old and they have to pay $10 in fees.The rest who were older than 24 years old had to pay $15 in fees.If there are 1942 new members in total,how much money did Alaska contribute to stop homelessness?
Answer:
$26,195.
Step-by-step explanation:
total of new members(1942) - age group 18-24 (587)= new members(1355) to pay $15 each in fees.
1942-587=1355 x$15=20,325
next: take age group 18-24 (587)and multiple by $10 fee
587 x$10=5,870
last add both numbers together:
$20,325+ $5870=$26,195
Kassidy wants to prove that the interior angles of any triangle sum to 180°. She draws a line through one vertex parallel to the opposite side, and then she labels all the angles formed.
Drag a reason to match each statement in Kassidy's two-column proof in the table below.
Answer:
First box: A straight line measures 180 degrees
Second box: Alternate interior angles theorem
Step-by-step explanation:
All lines are straight, and therefore measure 180 degrees
You can see that the red line is parallel to the line with angles 2 and 3. Alternate interior angles are two interior angles which lie on different parallel lines and on opposite sides of a transversal. Which justifies step 2
Answer:
1.A straight line measures 180 degrees
2.Alternate interior angles theorem
Step-by-step explanation:
We have to prove that
Sum of interior angles of any triangle =180 degrees
Proof:
1.[tex]m\angle 1+m\angle 4+m\angle 5=180^{\circ}[/tex]
Reason: A straight line measures 180 degrees
2.[tex]\angle 4\cong\angle 2[/tex]
[tex]\angle 5\cong \angle 3[/tex]
Reason:Alternate interior angles theorem
3.[tex]m\angle 4=m\angle 2,m\angle 3=m\angle 5[/tex]
Reason: by definition of congruent angles.
4.[tex]m\angle 1+m\angle 1+m\angle 3=180^{\circ}[/tex]
Reason: By substitution
Hence, proved.
Can someone solve this for me plz
11. Answer: cats = $7.33 or less, dogs = $11 or less
Step-by-step explanation:
Let c represent cats and d represent dogs, then
3c + 2d ≤ $22
If he spends $0 on the dogs, then 3c ≤ $22 ⇒ [tex]c\leq \dfrac{22}{3}[/tex] ⇒ c ≤ $7.33
If he spends $0 on the cats, then 2d ≤ $22 ⇒ [tex]d\leq \dfrac{22}{2}[/tex] ⇒ d ≤ $11
Therefore, he can spend a maximum of $7.33 on each cat and a maximum of $11 on each dog.
12. Answer: [tex]\dfrac{2}{5}[/tex]
Step-by-step explanation:
2 pounds of trail mix divided by 5 friends
= 2 pounds trail mix ÷ 5 friends
[tex]= \dfrac{2\text{ pounds trail mix}}{5\text{ friends}}[/tex]
[tex]= \dfrac{2}{5} \text{ pounds trail mix per friend}[/tex]
find the volume of the hemisphere with a radius of 7 inches. Round your answer to the nearest tenth.
Answer:
718 cubic inches
Step-by-step explanation:
The formula for a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex]. A hemisphere is half this value. We will find the volume and then divide it in half. We substitute r=7 inches.
[tex]V=\frac{4}{3} \pi r^{3}\\V=\frac{4}{3} \pi (7^{3})\\V=\frac{4}{3} \pi (343)\\V=1,436 inches^3[/tex]
We divide 1,436 by 2 for the volume of a hemisphere. V= 718 cubic inches
I WILL AWARD BRAINLIEST!
In the figure, a║b. Find x+y in terms of z and w.
A. 180°+z−w
B. 180°–z−w
C. w−z
D. 180°+w−z
Answer:
A. 180°+z−w
Step-by-step explanation:
We know that x + w = 180 because they are same side exterior angles and a and b are parallel.
z=y because they are alternate interior angles and a and b are parallel.
x + w = 180
Solve for x by subtracting w from each side
x = 180-w
y =z
Lets find x+y
x+y
(180-w) +z
Rewriting
180+z-w
Answer:
A. 180º + z - w
Step-by-step explanation:
x + w = 180, because they are same side exterior angles, and are on opposite sides.
z = y, because if you move z down, then you will see that they overlap.
From x + w = 180, you can get x = 180 - w.
We are trying to find x + y in terms of w and z, so:
x = 180 - w
y = z
With that, you can assemble the expression, 180 - w + z.
If you re-arrange, you will get 180 + z - w.
Therefore, A is the answer.
The sun of the roots of 3x^2+11x-4=0
[tex]ax^2+bx+c=0\\\\x_1,\ x_2-the\ roots\\\\x_1+x_2=\dfrac{-b}{a}\\-------------------------\\\text{We have}\ 3x^2+11x-4=0\\\\a=3,\ b=11,\ c=-4\\\\\text{Substitute:}\\\\x_1+x_2=\dfrac{-11}{2(3)}=-\dfrac{11}{6}\\\\Answer:\ \boxed{-\dfrac{11}{6}}[/tex]
3. Tell how to convert from an improper fraction to a mixed number.
Answer:
Step-by-step explanation:
1. Divide the numerator by the denominator.
2. Write down the whole number answer.
3. Write down any remainder above the denominator.
What is the sum of the √-2 and √-18?
Answer:
The sum is 4 i√2
Step-by-step explanation:
Both the numbers √-2 and √-18 are imaginary number and thus can be presented as
i√2 and i√18
On simplifying, the i√18 can be written as i√( 9 x 2)
Taking out square root of 9 we get-
3i√2
Thus the summation of i√2 and i√18 can be written as
i√2 + 3i√2
= 4 i√2
Answer:
The correct answer is (4 √2) i
Step-by-step explanation:
The sum we are looking is "x"
x= √-2+ √-18
By the Radical Properties of Multiplication ,
x=√-2 +√(-2*9)
x=√-2 +√-2* √9
Considering √-2= √((-1)*2)= √-1 *√2
According to the propriety of complex numbers , we can say
i=√-1
Replacing
x= i √2 + 3 i√2
The answer is x= (4 √2) i
Twice the difference of a number and 8 is equal to 2
Answer:
2(x-8)=2
Step-by-step explanation:
Which angles are obtuse angles in the figure shown
The answer is D. ∠FVI and ∠GVE. An obtuse angle must be wider than 90° (like the corners of a square or rectangle) and less than 180° (literally a straight line).
An obtuse angle in Mathematics is an angle that is greater than 90 degrees but less than 180 degrees. To identify obtuse angles in a figure, you measure the angles with a protractor. An example of an obtuse angle is one that measures 95 degrees.
Explanation:In the field of Mathematics, specifically geometry, an obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees. To determine which angles in your figure are obtuse, you would need to measure them. You typically do this with a protractor. If the angle measures more than 90 degrees, it is obtuse. For example, if an angle measures 95 degrees, it is considered obtuse. However, providing specifics without an actual figure to reference is difficult.
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One reading at an Arctic reaserch station showed that the temperature was -35°C. What is the temperature in degrees Fahrenheit?
Answer:
-31 = F
Step-by-step explanation:
We need to convert Celsius to Fahrenheit
(C * 9/5) + 32 = F
C= -35
Lets substitute this in
(-35 *9/5) +32 = F
-63 + 32 = F
-31 = F
6.5 divided by 6804 or 6804 divided in to 6.5 plz help
5 and 3/7 times - 4 and 3/8
HELP!! I'm studying
Your answer will be -23.75. Please let me know if you need something different or have any questions or concerns. Hope I helped.
The sum of three consecutive multiples of 5 is 555. Find the multiples.
Answer: 180, 185, & 190
Step-by-step explanation:
1st #: 5x
2nd #: 5(x + 1)
3rd #: 5(x + 2)
1st # + 2nd # + 3rd # = sum
5x + 5(x + 1) + 5(x + 2) = 555
15x + 15 = 555
15x = 540
x = 36
1st #: 5x = 5(36) = 180
2nd #: 5(x + 1) = 5(36 + 1) = 185
3rd #: 5(x + 2) = 5(36 + 2) = 190
What is the value of the expression -8/9 divided by -2/3 multiplied by -4 1/
Answer:
[tex](\frac{-8}{9}) / (\frac{-2}{3}) * (\frac{-4}{1} )\\\\= (\frac{-8}{9}) * (\frac{3}{-2}) * (\frac{-4}{1} )\\\\= (\frac{4}{3}) * (\frac{1}{1}) * (\frac{-4}{1} )\\\\= \frac{-16}{3}[/tex]
PLEASE HELP MEH! God bless yall
Answer: -1
Step-by-step explanation:
I think because if u graph it you can count the boxes down and to the side and you get -1
Answer: D) -1
Step-by-step explanation: Use the slope formula and plug in two points form tha table.
I chose the first two (3, -5) and (6, -8)
Y2-y1/x2-x1
-8--5/6-3
Hope it helps!