The amount earned is $79,500, percentage of fans that will be able to park the colour is 20% and the types of meals offered are All-you-can-eat, Two-for-one, Value meals.
First part -
The amount earned in parking 10,600 vehicles = number of vehicles × charge of parking on one vehicle
Keep the values in formula to find the amount earned
The amount earned in parking 10,600 vehicles = 10,600 × 7.5
Performing multiplication
The amount earned in parking 10,600 vehicles = $79,500
Second part -
Number of cars = total number of fans ÷ number of fans in one car
Keeping the values
Number of cars = 70000 ÷ 2
Performing division
Number of cars = 35000
Percentage = number of accomodates vehicles ÷ total number of vehicles × 100
Keep the values
Percentage = 7000 ÷ 35000 × 100
Performing division and multiplication
Percentage = 100/5
Percentage= 20%
Third part -
The type of ticket offered at the ballpark is All-you-can-eat, Two-for-one, Value meals.
Hence, the answers are $79,500, 20% and All-you-can-eat, Two-for-one, Value meals.
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The correct question is -
if it costs $7.50 to park, how much will the stadium make from parking 10,600 vehicles?
A stadium's parking lot can accommodate 7,000 vehicles. What percentage of tonight's 70,000 fans will be able to park in the stadium lot if they arrive two fans per car?
Which is a type of ticket offered at the ballpark?
All-you-can-eat, Two-for-one, Value meals
What is the circumcenter Theorem?
The circumcenter theorem states that the circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the sides of the triangle. In other words, the circumcenter is the center of a circle that passes through all three vertices of the triangle.
What is the circumcenter Theorem?The circumcenter theorem is a fundamental theorem in geometry and is used in the construction of the circumcenter of a triangle. The circumcenter is the point of intersection of the perpendicular bisectors of the sides of the triangle, and its coordinates can be determined by the coordinates of the triangle's vertices.
This theorem is useful in many applications, such as in: the construction of a triangle from its circumcenter, or in determining the distance between two points. It can also be used to determine the area of a triangle from its three vertices. The circumcenter theorem has been studied for centuries, and it is still an important tool for geometers and mathematicians today.
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WILL GET 100 POINTS DUE SOON AND I NEED HELP!!!
The restriction on the variables x and y are given as follows:
x ∈ W, y ∈ W.
What are the sets of numbers?The three sets of numbers that appear in this problem are given as follows:
Whole numbers: non decimal and non negative numbers.Integer numbers: non decimal numbers that can be either negative or positive.Real numbers: numbers that can be positive or negative, and can also assume decimal values.The number of tickets sold cannot assume decimal values, hence we know two things:
There is a restriction.x belongs either to the whole numbers or to the integer numbers.The number of tickets also assumes only values of zero or positive numbers, they cannot be negative, hence it is a whole number and the second option is correct.
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use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 y2/3
The equation of the tangent line to the curve at the given point (−3, 3, 1) (asteroid) is y-[tex]\sqrt{3}[/tex] = [tex]\sqrt{3}(x+3)[/tex]
Applying implicit differentiation, the equation of the tangent line is given by:
y - [tex]\sqrt{3}[/tex] = [tex]\sqrt{3}[/tex] (x+3)
The equation of a line tangent to a function f(x) at a point (x0, y0) is given by:
y-y0 = f'(x0,y0)(x-x0)
In this problem, point (-3, [tex]\sqrt{3}[/tex]), thus x0 = -3, y0 = [tex]\sqrt{3}[/tex]
The function is:
[tex]x^{2} /3+ y^{2}/3 = 4\\[/tex]
To find the derivative, we have to apply implicit differentiation, thus:
[tex]2x/3* dx/dx + 2y/3*dy/dx = 0[/tex]
[tex]2y/3*dy/dx = -2x/3[/tex]
[tex]dy/dx = -x/y[/tex]
Thus:
[tex]f(-3, \sqrt{3)} = -(-3/\sqrt{3} * \sqrt{3}/\sqrt{3})[/tex] = [tex]\sqrt{3}[/tex]
Then, the equation to the line tangent is:
y-y0 = f'(x0,y0)(x-x0)
y-[tex]\sqrt{3}[/tex] = [tex]\sqrt{3}(x+3)[/tex]
Refer to this complete question:
Use implicit differentiation to find an equation of the tangent line to the curve at the given point x2/3 + y2/3 = 4 (−3, 3, 1) (asteroid).
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Irlene invested $3,500 in a high-interest savings account for three years. For the first year, the interest rate was 9% compounded semi-annually. For the second year the rate became 5.25% with the same compounding period. For the third year the rate remained the same but it was compounded quarterly. What was the value of the investment at the end of the third year? For full marks your final answer should be rounded to the nearest cent.
Rounded to the nearest cent, the final value of Irlene's investment at the end of the third year is $4,431.78.
What is the easiest way to define interest rate?A percentage of the principal, or the amount loaned, is what a lender charges a borrower as interest. The annual percentage rate, or APR, is the usual unit used to express the interest rate on a loan (APR).
To calculate the value of Irlene's investment at the end of the third year, you can use the formula for compound interest:
FV = PV * (1 + r/n)^(n*t)
Where:
FV is the future value of the investment (what you want to find)
PV is the present value of the investment (the initial amount, $3,500)
r is the annual interest rate (the rate for the third year is 5.25%)
n is the number of compounding periods per year (for the first year it was 2, for the second year it was 2, and for the third year it was 4)
t is the number of years the money is invested (3 years in this case)
Plugging the values into the formula, you get:
FV = $3,500 * (1 + 5.25%/2)^(23) * (1 + 5.25%/4)^(41)
= $3,500 * (1.0263)^6 * (1.0131)^4
= $3,500 * 1.1496 * 1.0534= $4,431.77
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What is your monthly take-home pay if your take-home pay is calculated as 46 hours per week;
regular hourly rate is $15.90, but for all hours over 40 hours, the pay is 1.5 times as much; 23% is
deducted for taxes and insurance? Round intermediate calculations and the final answer to the nearest
cent; use 365 days in a year.
Your monthly take-home pay is $
The monthly take home pay if your take-home pay is calculated as 46 hours per week; is $2,606.6.
What is monthly take home pay?
The amount of money left over after taxes, benefits, and other deductions from a paycheck is known as take-home pay. It is the difference left over after subtracting all gross income deductions.
Let,
Number of hours per week = 46 weeks.
Regular hourly wage up to 40 hours = $15.90
Wage up to 40 hours = 40 x 15.90 = $636
Hours over 40 hours, wage is 1.5 times as much
Wage of hour 41 - 46 = 6 x 1.5 x 15.90 = $143.10
Total weekly wage = 636 + 143.10 = $779.10
Since 1 month = 4.345 weeks.
Therefore,
Monthly wage = Weekly wage x 4.345
= 777.10 x 4.345
Monthly wage = $3385.19
Now maximum and assurance = 23% of monthly wage
= 23% of 3385.19
= 0.23 x 3385.10
= $778.59
Therefore,
Monthly take home pay = Monthly wage - Tax
= $3385.19 - $778.59
Monthly take home pay = $2606.6
Hence, the monthly take home pay if your take-home pay is calculated as 46 hours per week; is $2,606.6.
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n april 1, the men's furnishings department had an opening inventory of $168,000 at cost with a markup of 48.5%. during the month the buyer purchased additional merchandise which cost $80,000 with a 52.5% markup. determine the cumulative markup percent for the department at the end of
Cumulative markup percent for department at the end is 23.1%.
The men's furnishing department had an opening inventory of $168,000 at cost with a markup of 48.5%
Cumulative markup is the difference between the total wholesale cost and total retail price of all merchandise handled during a given period of time.
cumulative markup dollars are the total markup dollars on all merchandise for a selected selling period. To calculate cumulative markup dollars and cumulative markup percent, the following formulas are utilized by the retailer:
Cumulative Markup $ = Total Retail $ - Total Cost $
Cumulative Markup % = Cumulative Markup $ ÷ Cumulative Retail $
Steps for calculating cumulative markup percentage for the specified period of time:
Step 1. Calculate the unknown retail value for either opening inventory or purchases.
Step 2. Calculate total retail of opening inventory and purchases.
Step 3. Calculate the unknown cost value for either opening inventory or purchases.
Step 4. Calculate total cost of opening inventory and purchases.
Step 5. Calculate total markup dollars.
Step 6. Calculate cumulative markup percent for the specified period of time.
For opening inventory
retail = $168,000
cost = 168,000*48.5/100 = $81480
For purchases
retail = 80,000*52.5/100 = $42000
cost = $80,000
total retail of opening inventory and purchase =
168,000+42000 = $210000
total cost of opening inventory and purchase =
81480+80,000 = $161480
total markup = total retail - total cost
total markup = 210000-161480 = 48520
cumulative markup percent = (total markup/ total retail)
= (48520/210000)*100
= 0.23104761904*100
=23.1%
So cumulative markup percent for department at the end is 23.1%.
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What does it mean to regroup?
Regroup means regrouping refers to rearranging integers into place value-based groupings to facilitate operations.
Given that,
We have to find what does it mean to regroup.
We know that,
What is regroup?When performing operations like subtraction and addition, regrouping is accomplished by creating groups of tens. Regrouping refers to rearranging integers into place value-based groupings to facilitate operations.
Because you must rearrange the numbers into place value to complete the procedure, it is known as regrouping. Regrouping is an excellent approach to simplify complicated mathematics, especially for kids. Regrouping with subtraction is sometimes referred to as "borrowing."
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A tissue box is shaped like a right rectangular prism. It has a base area of 16 square
inches and a height of 5 inches.
What is the volume of the tissue box?
21 1/3 in 3
26 2/3 in 2
42 2/3 in3
85 1/3 in³
The volume of the tissue box is 85⅓ cubic inches.
The correct answer option is option D
What is the volume of rectangular prism?Base area of the rectangular prism = 16 square inchesHeight of the rectangular prism = 5 inches.Volume of the tissue box = Base area of the rectangular prism × Height of the rectangular prism
= 16 square inches × 5⅓ inches
= 85⅓ cubic inches
Therefore, the rectangular prism has a volume of 85⅓ cubic inches
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ill give brainly and 10 points
Answer:
24 square units
Step-by-step explanation:
1/2 times base times height is the formula for the area of a triangle
the base is 12
the height is 4
1/2(12)(4)
6(4)
24
hopes this helps please mark brainliest
What are the 5 properties of rhombus and rectangle?
1. Opposite angles are equal in measure.
and
2. Diagonals bisect each other.
3. Any two adjacent angles add up to 180 degrees.
Properties of rhombus:
1. All sides are equal in length.
2. Opposite angles are equal.
3. Diagonals bisect each other at 90°.
4. Diagonals are respective angle bisectors.
5. Any two adjacent angles add up to 180 degrees.
6. The area of the rhombus is a product of the lengths of the 2 diagonals divided by 2.
Properties of rectangle:
1. Opposite sides are equal in length.
2. All the angles are 90°.
3. Diagonals bisect each other.
4. Any two adjacent angles add up to 180 degrees.
Hence, the common properties are
1. Opposite angles are equal in measure.
and
2. Diagonals bisect each other.
3. Any two adjacent angles add up to 180 degrees.
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francisco makes garlic bread qith 1/6 pound of garlic and 2/5 pounds of butter. how much garlic and butter is on the bread?
Answer:17/30 lbs
Step-by-step explanation:
HELP ME PLEAESEASE!! I need this done
A group of teenagers were asked whether they like the flavor of coconut and whether they watched basketball games.
The table shows the probabilities of results.
Watching basketball games and liking the flavor of coconut
(choose: "are" or "are not") independent events because the probability of a teenager from the group watching basketball games (choose: "is equal to" or "is not equal to") the probability of a teenager from the group watching basketball games given that they like the flavor of coconut.
Watching basketball games and liking the flavor of coconut "are" independent events because the probability of a teenager from the group watching basketball games "is not equal to" the probability of a teenager from the group watching basketball games given that they like the flavor of coconut.
What are independent events in probabilityIndependent events is the events which occur freely of each other. An event A is said to be independent of another event B if the probability of occurrence of one of them is not affected by the occurrence of the other.
We observe that the event of watching basketball games does not affect liking the flavour of coconut, hence they are independent events their probabilities are most likely not the same.
Therefore, we use "are" for the first statement to show the two events are independent and "is not equal to" for the probability statement.
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Evaluate the expression 5(7 − 4)2 ÷ 3 + 11.
3
14
26
33
Answer:
26
Step-by-step explanation:
Last week,Barry's Swimwear sold/15 of its bathing suits in stock .Philip's Sun Wear sold 5 out of 72 of its bathing suits in stock. Which store sold a greater fraction of the bathing suits in stock?
Answer: Barry's Swimwear sold a greater fraction of the bathing suits in stock as long as the store had fewer than 72 bathing suits in stock.
Step-by-step explanation:
Barry's Swimwear sold 15 out of an unknown number of bathing suits in stock, so we can express this fraction as 15/x, where x is the total number of bathing suits in stock at Barry's Swimwear. Similarly, Philip's Sun Wear sold 5 out of 72 bathing suits in stock, so we can express this fraction as 5/72.
To compare these two fractions, we need to express them with a common denominator. One way to do this is to find the least common multiple of the two denominators, which in this case is 72. To express 15/x with a denominator of 72, we can multiply both the numerator and the denominator by a factor of 72/x. This results in the fraction 15*(72/x)/72 = 15/x. Similarly, we can express 5/72 with a denominator of 72 by multiplying both the numerator and the denominator by a factor of 72/72, which results in the fraction 5*(72/72)/72 = 5/72.
Now that we have both fractions expressed with a common denominator of 72, we can compare them directly. 15/x is greater than 5/72 as long as x is less than 72. This means that Barry's Swimwear sold a greater fraction of the bathing suits in stock as long as the store had fewer than 72 bathing suits in stock.
suppose that and use phasors to reduce the sum to a single term of the form draw a phasor diagram, showing and state the phase relationships between each pair of these phasors
Answer:
I hope the best for you
Step-by-step explanation:
have a good day :)!!
2. Mateo graphs quadrilateral EFGH and then reflects it across the
line y = 2. How are the x-coordinates of corresponding points in
the image and the preimage related?
After reflecting the quadrilateral EFGH across the line y = 2, the x-coordinates of the corresponding points in the image and the preimage will be the same.
What is Reflection?Generally, Reflection is an isometry, which means that it preserves distance and angles. Therefore, the x-coordinates of the points in the image and the preimage will not be changed by the reflection. The y-coordinates will change since the reflection flips the points over the line of reflection.
For example, if quadrilateral EFGH has a vertex at (x, y), then the corresponding vertex in the image will be at (x, 2 - y). The x-coordinate remains the same, but the y-coordinate is reflected across the line y = 2.
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What is the factored form of x2 โ 3x โ 10?; What is the complete factored form?; What is the completely factored form of x4y 4x2y 5y y x2 5 )( x2 1 y x2 5 )( x2 1 x2y 5 )( x2 1 x2y 5 )( x2 1?; What is the complete factored form of Xยฒ 7x 10?
The factored form of the equation x² + 3x - 10 is (x - 2)(x + 5) .
In the question ,
it is given that ,
the equation is x² + 3x - 10 , we have to express it in factor form ,
So , rewriting the equation by using the split the middle term method .
= x² + 3x - 10
= x² + 5x - 2x - 10 , ...because 5x - 2x = 3x
taking x common from the first two terms ,
we get ,
= x(x + 5) - 2(x + 5) taking (x+5) common from both the terms ,
we get ,
= (x - 2)(x + 5)
Therefore , the factor form is (x - 2)(x + 5) .
The given question is incomplete , the complete question is
What is the factored form of x² + 3x - 10 ?
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1. Ms. Miller is bringing her astronomy
class cookie cakes. If each cookie cake
costs $15.50, including tax, and feeds 6
students, about how much money will
she need to buy enough to feed 29
students?
Answer:
$77.50
Step-by-step explanation:
Since each cookie cake feeds 6, she can buy enough cakes to feed 6, 12, 28, 24, 30, 36, etc. people.
The smallest number above 29 she can feed is 30.
Each cookie cake feeds 6.
30/6 = 5
She needs to buy 5 cookie cakes.
5 × $15.50 = $77.50
Select the correct answer. Simplify the following algebraic expression. √45x^5 A. 9x²√5x OB. 91³√5x² О с. 3x²√5x OD. 3r³√5x²
please help me and can you explain how you got your answer
The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x
Simplifying an algebraic expressionFrom the question, we are to simplify the given algebraic expression.
The given expression is
√45x^5
First, we will write the given expression properly
The expression written properly is
√45x⁵
Simplifying
√45 × √x⁵
√9×5 × √x⁴×x
√9 × √5 × √x⁴ × √x
3 × √5 × x² × √x
3 × x² × √5 × √x
3x² × √5×x
3x² × √5x
3x²√5x
Hence, the simplified expression is 3x²√5x
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How many square feet is a 20×20 room?
Answer:
400 square feet
Step-by-step explanation:
solve 4m+6=15 what is m?
What is the answer for this question?
The percentage of having a probability of a non-vowel letter is 44%
What is ProbabilityProbability is the measure of the likelihood that an event will occur in a given set of circumstances. It is a quantifiable measure of the chance of something happening. Probability is expressed as a number between 0 and 1 (or 0% to 100%) where the higher the number, the more likely the event is to occur.
The probability to select a vowel letter is = 15 + 22 + 11 + 6 + 2 = 56%
The probability of selecting any vowel is 56%
In the English alphabet, we have 26 letters and 5 vowel letters.
The probability of not having a vowel letter is calculated as;
26 - 5 = 21
P = 21 / 28
In percentage, we can simply say the probability of having a non-vowel is 100 - 56 = 44
The percentage of having a non-vowel is 44%
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Would someone be so kind as to lend a helping hand to me in solving this question?
Answer:
a) Provider B would be cheaper
b) [tex]10m^3[/tex]
Step-by-step explanation:
a) Input 6 into both equations and solve. For Provider A, it would go like this: [tex]y = 6 + 15[/tex]. For Provider B, it would be this: [tex]y = 2(6) + 5[/tex]. The first provider adds up to £21 Pounds ($25.56 USD). The second provider adds up to £17 Pounds ($20.69 USD).
b) All you really need to do is just plug in numbers until both equations contain the same answer. The way I did it was: [tex]x + 15 = 2x + 5[/tex]. If your teacher asks how you got the answer, follow these steps:
[tex]x+15=2x+5\\x-5=2x-5\\x+10=2x[/tex]
What value of x satisfies the equation x^2+2x/x+2=2
Answer: X= -2
Step-by-step explanation:
8. If f(x) = 3x - 4 and g(x) = 4x - 3, what is f. g? A f(x) · g(x) = 7x - 7 B f(x) · g(x) = 12x + 12 Of(x) · g(x) = 7x² - 14x - 7 D f(x) · g(x) = 12x2 25x+12
Answer:
D: f(x) · g(x) =12x^2-25x+12
Step-by-step explanation:
we multiply the 2 equations
(3x-4)(4x-3)
12x^2-9x-16x+12
12x^2-25x+12
so d is the answer
hopes this helps please mark brainliest
60% of the monthly housing and food budget is for rent. 10% of the budget is for utilities. 30% is for food. What is Amy’s budget for rent? What is the budget for utilities? What is it for a food?
a) Amy's monthly budget for Rent based on the total budget for housing and food is $853.
b) Amy's monthly budget for Utilities based on the total budget for housing and food is $142.
c) Amy's monthly budget for Food based on the total budget for housing and food is $427.
The total budget for Housing, Utilities, and Food for nine months = $12,798
Rent = 60%
Utilities = 10%
Food = 30%
Budget period = 9 months
Budget for rent = $7,679 ($12,798 x 60%)
Monthly budget for Rent = $853 ($7,679/9)
Budget for utilities = $1,280 ($12,798 x 10%)
Monthly budget for Utilities = $142 ($1,280/9)
Budget for food = $3,839 ($12,798 x 30%)
Monthly budget for Food = $427 ($3,839/9)
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State wheter ABC and AED are congruent. Justify your answer
Answer: ABC and AED are congruent by SSS. SSS is if three sides of a triangle are congruent to 3 sides of another triangle, then the triangles are congruent. AB and AE are both 7, BC is congruent to ED and CA is congruent to DA because of the tick marks.
prove that the composition of two isometries is an isometry and the inverse of an isometry is an isometry.
The composition of two isometries is an isometry.
Proof:
Let T1 and T2 be isometries. T1(A) = A' and T1(B) = B'. Therefore by isometry T1, AB = A'B'
T2(A) = A'' and T2(B) = B''. Therefore by isometry T2, AB = A''B''
T2 º T1 = T2(T1(A)) = T2(A') = A'''. T2 º T1 = T2(T1(A)) = T2(B') = B'''. Therefore under composition AB = A'''B''' and distance is preserved.
The inverse of an isometry is an isometry.
Proof:
Given T and isometry. This means T(A) = A' and T(B) = B' with AB = A'B'
The inverse of T, T⁻¹maps A' to A and B' to B, so A'B' maps to AB.
But A'B' = AB and so the inverse is an isometry
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I need help with this problem
Answer:
Point slope: y - 115 = 2(x -30)
Slope intercept: y = 2x + 55
Step-by-step explanation:
I choice the first point to write the equation in the point slope form of a line.
(30,115)
Slope is the change in y over the change in x. I see that the y's are increasing by 10, while the x's are increasing by 5
10/5 = 2
The slope is 2
y = y = m( x + x)
y - 115 = 2(x - 30)
Slope intercept form of a line
We already found the slope to be 2. Use the slope and the point (30,115) to find x
y = mx + b
115 = 2(30) + b
115 = 30 + b Subtract 30 from both sides
55 = b
y = 2x + 55
Questionaire below Image
Answer: the first one is 30 ml
