Given statement solution is :- On average, she spent approximately $115 per visit.
To calculate the total amount spent on the visits, we need to add up the co-payments and the cost of the shots.
Co-payments:
The co-pay for each visit is $25, and you visited the doctor 3 times a week for 8 weeks within 2 months. So the total co-payment is:
3 visits/week * $25/visit * 8 weeks = $600.
Shots:
You received the shot 2 times out of each visit, and you visited the doctor 3 times a week for 8 weeks within 2 months. So the total cost of the shots is:
2 shots/visit * $135/shot * 8 weeks = $2,160.
Total amount spent:
Co-payments + Shots = $600 + $2,160 = $2,760.
Therefore, the total amount spent for the visits and shots over 2 months is $2,760.
Trivia Answer:
To find out the average amount spent per visit, we can divide the total amount spent by the total number of visits. In this case, the total amount spent is $2,760, and the total number of visits is 3 visits/week * 8 weeks = 24 visits.
Average spent per visit = Total amount spent / Total number of visits
Average spent per visit = $2,760 / 24 visits
Average spent per visit ≈ $115.
Therefore, on average, you spent approximately $115 per visit.
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Line l has equation y= 5. find the distance between l and the point C (7, 0). Round your answer to the nearest tenth
The distance between the line y = 5 and point C (7, 0) is 5 units.
We have,
To find the distance between a line and a point, we can use the formula for the distance between a point (x1, y1) and a line ax + by + c = 0, which is given by:
Distance = |ax1 + by1 + c| / √(a² + b²)
In this case,
The equation of the line is y = 5, which can be rewritten as 0x + 1y - 5 = 0.
Comparing this to the general form ax + by + c = 0, we have a = 0, b = 1, and c = -5.
The coordinates of point C are (7, 0), so x1 = 7 and y1 = 0.
Let's calculate the distance using the formula:
Distance = |0(7) + 1(0) - 5| / sqrt(0² + 1²)
Distance = |-5| / √(1)
Distance = 5 / 1
Distance = 5
Therefore,
The distance between the line y = 5 and point C (7, 0) is 5 units.
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Are the following figures similar?
Trapezoids ABCD and EFGH are shown. Angle A equals 137 degrees, Angle B equals 90 degrees, Angle C equals 90 degrees, Angle D equals 43 degrees, Angle E equals 136 degrees, Angle F equals 90 degrees, Angle G equals 90 degrees, Angle H equals 44 degrees.
No, the trapezoids are not similar because their corresponding angles do not have the same measures.
The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.
Let's examine the angles of the trapezoids:
In trapezoid ABCD:
Angle A = 137 degrees
Angle B = 90 degrees
Angle C = 90 degrees
Angle D = 43 degrees
In trapezoid EFGH:
Angle E = 136 degrees
Angle F = 90 degrees
Angle G = 90 degrees
Angle H = 44 degrees
By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.
However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.
Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.
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please help. Identify which of the following is NOT equivalent to a^1/4?
Answer:
D
Step-by-step explanation:
A. a^1/8 x a^1/8 = a^2/8 = a^1/4
B. a^3/4 / a^1/2 = a^3/4 / a^2/4 = a^1/4
C. (a^1/8)^2 = a^2/8 = a^1/4
D. √a = a^1/2
which two transformations are applied to pentagon ABCDE to create A''B''C''D''E''
The two transformations applied to pentagon ABCDE to create A''B''C''D''E'' are rotation and reflection.
To determine the two transformations applied to pentagon ABCDE to create A''B''C''D''E'', we need more specific information about the transformations or the corresponding points.
Transformations can include translations, rotations, reflections, dilations, or combinations of these.
Without knowing the specific transformations applied or having additional information, it is challenging to provide an accurate answer.
However, I can briefly explain some common transformations that could potentially be applied to a pentagon:
Translation: A translation involves moving the entire figure in a specific direction without changing its shape or orientation.
This transformation can be described by shifting the points of the pentagon horizontally or vertically.
Rotation: A rotation involves rotating the pentagon about a fixed point. The point of rotation could be inside or outside the pentagon, and the angle of rotation would determine the final position of the points.
Reflection: A reflection involves flipping the pentagon across a line, called the line of reflection.
Each point of the pentagon would be reflected across the line, resulting in a mirrored image.
Dilation: A dilation involves scaling the size of the pentagon by a certain factor.
This transformation can result in an enlarged or reduced version of the original pentagon.
Without specific details or information about the corresponding points in A''B''C''D''E'', it is not possible to determine the exact transformations applied.
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If 15% of the customers total is $98,880, then the sum total equals what
The sum total by the given data is equals to $658,880.
We are given that;
Percent=15%
Amount= $98,880
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:
15% = 0.15
To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:
$98,880 / 0.15 = $98,880 x 1/0.15
To multiply by 100, we can move the decimal point two places to the right. This gives us:
$98,880 x 1/0.15 x 100 = $658,880
Therefore, by the percentage the answer will be $658,880.
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The population of a small country is 2.457 million and its national debt is $5.99 billion. What is the amount of debt per person? Round to the nearest whole number.
The amount of debt per person in the small country is approximately $2,439. This means that, on average, each person in the country would be responsible for around $2,439 of the national debt.
To calculate the amount of debt per person in the small country, we divide the total national debt by the population and round the result to the nearest whole number. Let's perform the calculation.
The population of the small country is 2.457 million, which is equivalent to 2,457,000 people. The national debt is $5.99 billion.
To find the debt per person, we divide the national debt by the population:
$5.99 billion / 2,457,000 = $2,439.05 (rounded to two decimal places)
Since we want the answer in whole numbers, we round the result to the nearest whole number:
Debt per person = $2,439 (rounded to the nearest whole number)
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1. What is the solution of 2x+7|>27? Answer x < -17 orx> 10 x < -10 or x>10 x20 x>-17 or x < 10
The solution to the inequality 2x + 7 > 27 is x > 10
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
2x + 7 > 27
Subtract 7 from both sides of the inequality
So, we have
2x > 20
Divide both sides by 2
x > 10
Hence, the solution to the inequality 2x + 7 > 27 is x > 10
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I will give brainliest out please help me answer the unsolved ones
For the given triangles:
(1) x = 5.4
(2) x = √23
(3) θ = 25.84 degree
(4) x = 9.5
(5) n = 41
(1) In the given triangle,
One angle = 16 degree
Perpendicular = x
Hypotenuse = 20
Since we know that
Sinθ = opposite side of θ/hypotenuse
Therefore,
⇒ sin 16 = x/20
⇒ 0.27 = x/20
⇒ x = 5.4
(2) In the given triangle,
Hypotenuse = 12 km
Base = 11 km
perpendicular = x
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (12)²= (x)² + (11)²
⇒ 144 = (x)² + 121
⇒ x² = 23
Taking square root both sides we get,
Hence,
⇒ x = √23
(3) In the given,
Base = 20
Perpendicular = 42
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (Hypotenuse)² = (42)² + (20)²
⇒ (Hypotenuse)² = 2164
Taking square root both sides,
⇒ (Hypotenuse) = 46.51
⇒ cosθ = Adjacent/hypotenuse
= 42/46.51
= 0.90
Taking inverse of cosθ,
⇒ θ = 25.84 degree
(4) In the given triangle,
One angle = 30 degree
Base = x
Hypotenuse = 11
Since we know that
cosθ = Adjacent/hypotenuse
Therefore,
⇒ cos 30 = x/11
⇒ √3/2 = x/11
⇒ x = 9.5
(4) In the given triangle,
Base = 40
Perpendicular = 9
Hypotenuse = n
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ n² = 9² + 40²
⇒ n² = 81 + 1600
⇒ n² = 1681
⇒ n = 41
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For the athletic banquet one adult ticket cost is $15.00 and one student ticket cost $10.00 One hundred forty were sold for a total of $1600
Absolute value of 2.
What is the area of sector GPH?
The area of sector GPH is square yards.
(Type an exact answer in terms of .)
P
G
15 yds
80°
H
Q
O
www
Answer:
i want to say it is 50[tex]\pi[/tex] square yards but i'm not entirely positive let me double check and i'll submit another answer
Step-by-step explanation:
although i can't promise this is correct, i can try my best to explain how i got to the answer i did in case that might help you determine if you want to use it.
formula for finding the area of a circle sector is (theta/360) x [tex]\pi[/tex][tex]r^{2}[/tex]
if you insert these things, it's just simplifying the problem after that.
we know what theta is (80 degrees) since the subtended angle is the same as the measure of the arc because it is a central angle, and those always correspond with each other. and we also know our radius because it connects the center of the circle to the outer edge. it is 15 yards.
so then we have (80/360) x [tex]\pi\\[/tex] x (15)^2
essentially, what you're going to do is break down the problem from there. simplify 80/360 to 2/9 and multiply it by pi and then by 15 squared (which is 225).
you will get 450[tex]\pi[/tex]/9 which, when simplified, is 50[tex]\pi[/tex]
i really hope this helps you at some sort of capacity.
Which value of a would make the expression 5
13÷4a
equivalent to a whole number?
5
7
9
11
A value of a that would make the expression 5 1/3 ÷ 4/a equivalent to a whole number include the following: C. 9.
How to determine the value of that would make the expression equivalent to a whole number?In order to use the given expressions to determine the value of a (a-value) that makes the expression equivalent to a whole number, we would have to substitute the values of a (a-value or domain) into each of the expressions and then evaluate as follows;
First of all, we would re-write the mixed fraction as an improper fraction and then evaluate the given expression;
16/3 ÷ 4/a
16/3 × a/4
When a = 5, we have the following:
16/3 × a/4
16/3 × 5/4 = 20/3 (not a whole number).
When a = 7, we have the following:
16/3 × a/4
16/3 × 7/4 = 28/3 (not a whole number).
When a = 5, we have the following:
16/3 × a/4
16/3 × 9/4 = 36/3
36/3 = 12 (a whole number).
When a = 11, we have the following:
16/3 × a/4
16/3 × 11/4 = 44/3 (not a whole number).
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Complete Question:
Which value of a would make the expression 5 1/3 ÷ 4/a equivalent to a whole number?
5
7
9
11
Stephen is combining all juice shown to make fruit punch. Does the expression (64+28+76)/6 make sense’s
Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.
To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.
The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:
Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).
Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.
Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.
If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.
In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.
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based on the table, what is the total tax due for a married couple who have a combined income of 110,000 ?
The total tax due for a married couple who have a combined income of $110,000 is $16,079
How to determine the total tax due for a married couple who have a combined income of 110,000From the question, we have the following parameters that can be used in our computation:
Income = $110,000
Also, we have the table of values
From the tax table, we have the category of tax to be paid by the couple to be
Tax = 8907 + 22% * excess of 77400
So, we have
Tax = 8907 + 22% * (110,000 - 77400)
Evaluate
Tax = 16079
Hence, the tax amount is $16,079
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Question 7
A cylinder with a circular base is sliced through the center
vertically, perpendicular to the base. The cross section
that results would be which shape?
A
B
с
O D
circle
oval
rectangle
triangle
The cross section will be of rectangle in shape .
Given,
A cylinder with a circular base is sliced through the center vertically, perpendicular to the base.
Now,
A vertical cross section is a cross section in which the intersecting plane is perpendicular to the base of the solid.
If the intersecting plane is perpendicular to the base of cylinder then the shape obtained will be of rectangular in nature .
Therefore, vertical cross section of a cylinder is a rectangle.
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What is the meaning of "only under the assumption that at least one set X exists"?
The phrase "only under the assumption that at least one set X exists" means that a certain statement or conclusion holds true or can be deduced only if there is a set X that exists.
Answer to the questionIn other words, the validity or applicability of the statement is conditional upon the existence of at least one set X.
This phrase indicates that the argument or reasoning being presented depends on the existence of a specific set or group. Without the existence of such a set, the statement or conclusion being made may not hold true or may not be applicable.
It's important to note that without further context, the meaning and implications of this phrase may vary depending on the specific subject or context in which it is used.
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} One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?
The numbers are 1 and 8.
We have,
Let's assume the lesser number as "x" and the greater number as "8x".
According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:
8x - x = 5x + 2
Simplifying the expression:
7x = 5x + 2
Subtracting 5x from both sides:
2x = 2
Dividing both sides by 2:
x = 1
So, the lesser number is 1 and the greater number is 8 times that, which is 8.
Therefore,
The numbers are 1 and 8.
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Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on the due date until the card is paid off. How many months does it take to pay off the card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
• the mathematical steps for solving the problem demonstrating mathematical reasoning
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
To find out how many months it takes to pay off the credit card and the total amount paid including interest, we can use the following steps:
Step 1: Calculate the monthly interest rate
Divide the annual percentage rate (APR) by 12 to get the monthly interest rate.
Monthly interest rate = 14.5% / 12 = 0.145 / 12 = 0.01208 (rounded to 5 decimal places)
Step 2: Set up the equation for the number of months
Let's denote the number of months it takes to pay off the card as 'n'. The monthly payment is $1,200.00, and the initial balance is $3,287.90. The monthly interest rate is 0.01208. The equation for the number of months can be written as:
(1) $3,287.90 ×[tex](1 + 0.01208)^n[/tex] - $1,200.00 ×[tex][(1 + 0.01208)^n[/tex] - 1] = 0
Step 3: Solve the equation
To find the value of 'n', we need to solve equation (1). However, solving it algebraically can be complex. Instead, we can use numerical methods like trial and error, or we can use a spreadsheet or a calculator to find the solution.
Using a spreadsheet or a calculator, we can input the values and increment 'n' until we find the point where the equation equals zero.
After performing the calculations, it is determined that it takes approximately 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
Therefore, the answer to the original question is that it takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
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De cuántas manera pueden sentarse 10 personas en un banco si hay 4 sitios disponibles
Answer:
can u translate in engish
Answer:
Me no spanish
Step-by-step explanation:
Me only english
How many tiles can fit in a rectangular floor with length 14 ft and width 6 ft if the the square tiles has an edge of 3/4 ft.
A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.
Given:
Length of the rectangular floor = 14 ft
Width of the rectangular floor = 6 ft
Edge length of square tile = 3/4 ft
First, let's calculate the number of tiles that can fit horizontally:
Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft
Since we want a whole number of tiles, we need to round down or take the floor value:
Number of tiles horizontally = floor(56/3) = 18 tiles
Next, let's calculate the number of tiles that can fit vertically:
Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft
Again, we round down or take the floor value:
Number of tiles vertically = floor(24/3) = 8 tiles
To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:
Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles
Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
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Help solve for C Law of Cosines
Answer:
118.5 or 118.6
Step-by-step explanation:
just did it on paper.
Rolling two sixes in a row on a number cube is independent or dependent
Rolling two sixes in a row on a number cube (a fair six-sided die) is an independent event. The outcome of one roll does not affect the outcome of the subsequent roll. Each roll of the number cube is an independent trial, and the probability of rolling a six on each trial is always 1/6, regardless of the previous outcome.
square root 3 radicand x squared 2 multiply square root 4 radicand x squared 3
The simplification of [tex]\sqrt{3x^2} * \sqrt{4x^2} is 2x^2\sqrt{3.[/tex]
The given expression is [tex]\sqrt{3x^2} * \sqrt{4x^2} .[/tex].
To simplify this expression, we can start by simplifying each square root individually and then multiply the simplified expressions.
[tex]\sqrt{3x^2[/tex] can be written as[tex]\sqrt{3} * \sqrt{x^2[/tex]. Since [tex]x^2[/tex] is a perfect square, its square root is x. Therefore, [tex]\sqrt{3x^2[/tex] simplifies to [tex]x\sqrt{3.[/tex]
Similarly,[tex]\sqrt{4x^2[/tex] can be written as[tex]\sqrt{4} * \sqrt{x^2.[/tex]The square root of 4 is 2, and the square root of[tex]x^2[/tex]is x. Thus, [tex]\sqrt{4x^2[/tex] simplifies to 2x.
Now, we can multiply the simplified expressions:
[tex]x\sqrt{3} * 2x.[/tex]
To multiply these terms, we multiply the coefficients (numbers in front) and the variables separately.
The coefficient of [tex]x\sqrt{3[/tex]is x, and the coefficient of 2x is 2.
Multiplying the coefficients gives us x * 2 = 2x.
The variables in x√3[tex]x\sqrt{3[/tex] are x and √3, and the variables in 2x are x and 1.
Multiplying the variables gives us x * x = x^2, and √3 * 1 = √3.
Therefore, the final simplified expression is [tex]2x^2\sqrt{3.[/tex].
In summary,[tex]\sqrt{3x^2 } * \sqrt{4x^2[/tex] simplifies to [tex]2x^2\sqrt{3.[/tex]
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A=$1337.50, P=?, R=4%, T=21 months
find the unknown quantity for an account that earns simple annual interest
Answer:
$1250
Step-by-step explanation:
A = P + Prt
1337.5 = P + P(0.04)(21/12)
1337.5 = 1.07P
P = 1250
Answer: $1250
A student takes a subway to a public library. The table shows the distance d (in miles) the student travels in t minutes. Determine whether the data can be modeled by a linear, exponential, or a quadratic function and then select a function rule to model the situation.
t
d
1
0.83
2
1.66
3
2.49
4
3.32
5
4.15
The linear function that models the situation is given as follows:
d = 0.85t.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The constant ratio for this problem is given as follows:
k = 0.83, as each division of d by t has a result of 0.83.
Hence the equation is given as follows:
d = 0.83t.
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The express that is equivalent is?
Step-by-step explanation:
Multiply the L side of the equation by d/d ( this is just multiplying by 'one' )
2/d * d/d = 2d / d^2
A class contains 5 girls and 7 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?
The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.
Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.
Determine the total number of students in the class. That is 5 + 7 = 12.
Determine the number of ways to select two students from the class.
Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.
In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).
C(12, 2) = 12! / (2!(12-2)!) = 66.
Determine the number of favorable outcomes.
In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.
To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):
Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.
So, the probability of selecting a girl and a boy for the class committee is 5/6.
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Tara looks up hotel room prices for a holiday.
A hotel has a 25% off sale on its prices.
A VAT charge of 20% must be added on at the end of the transaction after any discount.
If the regular price of a room is £80 per night, how much will Tara pay for 5 nights?
Tara will pay £360 for 5 nights if she chooses a hotel with a regular room price of £80 per night that has a 25% off sale on its prices, and the VAT charge of 20% must be added at the end of the transaction.
Tara looked up hotel room prices for her holiday. A hotel had a 25% off sale on its prices. A VAT charge of 20% must be added at the end of the transaction, after any discount. If the regular price of a room is £80 per night, then we have to determine how much Tara will pay for 5 nights.
A 25% discount on £80 is: 25/100 * 80 = £20. So the discounted price of a hotel room is: £80 - £20 = £60.Next, we add VAT of 20% to the discounted price: 20/100 * £60 = £12.
Hence, the final price for one night is: £60 + £12 = £72.Since Tara needs to stay in the hotel for 5 nights, she will pay: £72 * 5 = £360.
Therefore, Tara will pay £360 for 5 nights if she chooses a hotel with a regular room price of £80 per night that has a 25% off sale on its prices, and the VAT charge of 20% must be added at the end of the transaction.
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To the nearest degree, what is the measure of the central angle for bathing?
The central angle of Bathing = 108 degrees.
In the given pie chart,
Since we know,
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.
The whole circle is 360 degrees
which represents 100%.
It is given that,
Bathing = 30%
So have need to find 30% of 360 degrees.
Therefore,
Bathing = (30/100)x360
= (30/10) x 36
= 3x36
= 108
Hence,
The central angle = 108 degrees.
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The complete question is:
To the nearest degree, what is the measure of the central angle for bathing?
Emile is observing a wind turbine. The vertical distance between the
ground and the tip of one of the turbine's blades, in meters, is modeled
by H(t) where t is the time in seconds. The function is graphed below,
along with one segment highlighted.
The correct options are:
1) A, it is the midline.
2) D, the center is 35 meters above the ground.
Which feature of the graph corresponds to the highlighted segment?
The highlighted segment is the red dashed line that goes along with the graph of the sinusoidal function.
That line is called the midline of the function, which is the constant term of any sinusoidal function.
In this case, we know that this function represents the height of the blades, then that midline means that the turbine center is at 35 meters (the midline) above the ground.
So the correct options are A and D.
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