Final answer:
Sally paid a $12.50 entry fee to the fair. Joe can buy 18 tickets after paying the entry fee with his $26. The equation to represent the total cost of entry fee and tickets based on the number of tickets purchased is y = 12.50 + 0.75x.
Explanation:
(a) We are told Sally spent a total of $31.25 on the entry fee plus 25 ride tickets. Since each ticket costs $0.75, we can multiply 25 tickets by $0.75 to find the total cost of the tickets alone. That is 25 tickets × $0.75 per ticket = $18.75. Subtracting this amount from the total cost of $31.25 gives us the entry fee. The entry fee is $31.25 - $18.75 = $12.50.
(b) Joe has $26 to spend on the entry fee and tickets. We found out earlier that the entry fee is $12.50. Subtracting the entry fee from the total amount Joe has, we get $26 - $12.50 = $13.50. Now, divide this by the cost of one ticket, $0.75, to determine the number of tickets he can buy: $13.50 / $0.75 = 18 tickets.
(c) Let x represent the number of ride tickets purchased and y represent the total cost of fair entry fee and ride tickets. The total cost is the sum of the fixed entry fee and the variable cost of x tickets at $0.75 each. The equation is y = 12.50 + 0.75x.
Simplify. y^-3 pls help me i need this very bad
Convert 7 4/7 to a mixed decimal and rounded to the nearest thousandth.
Write a decimal number that, then round to the nearest tenth, is 0.3.
How do you verify that a hexagon formed by A=(0,0), B=(2,1), C=(3,3), D=(2,5), E=(0,4) and F=(-1,2) is equiangular? (I already know that it is equilateral)
To verify that the hexagon is equiangular, calculate the slopes and angles of all sides using the coordinates of the vertices.
Explanation:To verify that a hexagon is equiangular, we need to show that all interior angles of the hexagon are congruent. We can calculate the angles using the coordinates of the vertices A, B, C, D, E, and F.
Calculate the slope of each side of the hexagon. For example, for side AB with points A(0,0) and B(2,1), the slope is (1-0)/(2-0) = 1/2.Use the slope to find the angle using the formula arctan(slope). For side AB, the angle is arctan(1/2) = 26.57 degrees.Repeat steps 1 and 2 for all sides of the hexagon.If all six angles are equal, then the hexagon is equiangular.Learn more about Equiangular Hexagon here:https://brainly.com/question/31803879
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If the length of the rectangle is twice the width and the perimeter of the rectangle is 30 cm find its area
(a) A certain solution has a hydrogen ion concentration of 0.00000914 moles per liter. Write this number in scientific notation.
(b) A humpback whale can weigh up to ×1.1105 pounds. Write this number in standard notation.
The hydrogen ion concentration can be written in scientific notation as 9.14 x 10-6 M. The weight of a humpback whale can be written in standard notation as 11,105 pounds.
Explanation:(a) The given hydrogen ion concentration of 0.00000914 moles per liter can be written in scientific notation as 9.14 x 10-6 M. To convert the number to scientific notation, we move the decimal point to the left until there is one non-zero digit to the left of the decimal point and multiply by the corresponding power of 10.
(b) The weight of a humpback whale, which is given as ×1.1105 pounds, can be written in standard notation as 11,105 pounds. To convert from scientific notation to standard notation, we move the decimal point to the right or left by the power of 10 indicated by the exponent.
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To take a taxi , it cost $3.00 plus an additional $2.00 mile traveled. you spent exactly $20 on a taxi, which includes the $1tip you left. how many miles did you travel?
Find the average value of f over region
d. f(x, y) = 4x sin(y), d is enclosed by the curves y = 0, y = x2, and x = 7.
The question involves finding the average value of function f(x, y) = 4x sin(y) over a particular region. This is done using a double integral to integrate the function over the region and divide by the area of that region. The area of the region is determined using the given boundaries.
Explanation:The subject of this question is calculus, specifically dealing with a double integral to find the average value of a function over the specified region. The given function is f(x, y) = 4x sin(y), and the region d is enclosed by the curves y = 0, y = x^2, and x = 7.
To find the average value of function f over the region d, you should use the formula for the average value of a function of two variables. This is given by: Avg = (1/Area(D)) ∫∫_D f(x, y) dA
Before we can use this formula, we need to find the area of region D. This can be obtained as a simple integral from the given boundaries: Area(D) = ∫ from 0 to 7 dx ∫ from 0 to x^2 dy = ∫ from 0 to 7 x^2 dx = [x^3/3]_0^7 = 343/3
We can then proceed with the double integration by applying the appropriate limits. This is a more complex process that requires substitutions and careful calculation. After evaluating the average value, you should get a numerical solution.
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To find the average value of a function over a region, calculate the double integral of the function over that region and divide it by the area of the region.
Explanation:To find the average value of a function over a region, we need to calculate the double integral of the function over that region and then divide it by the area of the region. In this case, the region d is enclosed by the curves y = 0, y = x-2, and x = 7. We can set up the integral as follows:
So, the average value of f over region d is 1.12.
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A jet travels 510 miles in 2 hours. At this rate, how far could the jet fly in 15 hours? What is the rate of the speed of the jet?
Robert climbed 775 steps in 12 1/2minutes. how many steps did he average per minute?
A city has 7204 recycle bins. The city gives half of the recycle bins to it's citizens. The rest of the recycle bins are divided into 23 equal groups for city parks. How many recycle bins are left over?
An air cargo plane can transport as many as 15 regular shipping containers. One supersize container takes up the space of 3 regular containers.
A baker wants to put 3 3/4 pounds of apples in each pie sge makes. She purchased 52 1/2 pounds of apples. How many pies can she make?
divide 52 1/2 pounds by 3 3/4 pounds
52 1/2 / 3 3/4 = 14
she can make 14 pies
PLEASE HELP ASAP!! Will give brainliest!
Each digit in the division example has been replaced with the same letter throughout (r stands for remainder) the digits used were 1, 2, 3, 4, 5, 7, and 9 find the numbers clue u is 5
This is a cryptarithm problem where every unique letter represents a unique digit. Given that 'u' equals 5, we would navigate the problem by dividing numbers out front and subtracting the exponents.
Explanation:This question is about a form of a cryptarithm. Cryptarithms are mathematical puzzles where the digits are replaced by letters of the alphabet or other symbols. If the same letter appears more than once, it represents the same digit each time. Your question implies that each letter corresponds to a unique digit and that division is involved. Therefore, we need to figure out which numbers are represented by the remaining letters. You've already been given that 'u' represents 5. Since there isn't a complete problem provided, I can't offer a step by step guide on how to solve it. However, I can suggest to you to start the cryptarithm solution by dividing numbers out front and subtracting the exponents.
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The question involves substituting the given number for a letter in a division problem and then solving it. It's a step-by-step process of trial and error.
Explanation:In this problem, you are asked to find the numbers that replace the same letter throughout a division problem. Given that 'u' is 5, you know that wherever 'u' appears in your division equation, you can replace it with 5. Solve the division problem accordingly. Do not forget, each distinct letter represents a distinct number. It is a process of trial and error until you come up with the right numbers that fit the equation and abides by the division rules.
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Evaluate the function f(x)=−4x−3 f(x)=−4x−3 for x=−6x=−6.
Will give brainliest if correct.
A rectangular swimming pool with a flat bottom is 20 feet by 12 feet. How long will it take to fill the swimming pool to 5 feet if water is being pumped into the pool at 30 cubic feet per minute?
A) 8 minutes
B) 40 minutes
C) 67 minutes
D) 120 minutes
Absolute Value equations always have 2 answers.
True
False
Describe the end behavior of the function:
y = x3 + 3x2 - 2x + 4
a)left - rises, right - falls
b)left - rises, right - rises
c)left - falls, right - falls
d)left - falls, right - rises
What happens when you multiply a fraction by its reciprocal?
Read the following conjecture.
Any number that is divisible by 2 is also divisible by 8.
Find a counterexample to show that the conjecture is false
A: 16
B: 24
C: 28
D: 32
16/2 =8, 16/8 = 2
24/2 = 12, 24/8 = 3
28/2 = 14, 28/8 = 3.5
32/2 = 16, 32/8 = 4
28 isn't divisible by 8
Answer is C
round 999.999 to the nearest tenth
How to solve the second equation
Given that f(a+b)= f(a) + f(b) and f(x) is always positive, what os the value of f(0)?
Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
Alexander thought the equivalent quarterly interest rate would be 2%. Is Alexander correct? If he is, explain
why. If he is not correct, state what the equivalent quarterly interest rate is and show how you got your
answer. i need to show my work and everything
What’s the reciprocal of 7/2a
2a/7
-2a/7
7/2a
-7/2a
The endpoints of a diameter of a circle a(-1,1) and b(3,3). what is the length of the radius
If we determine the distance from one point to the second point, we get the length of the diameter. This is calculated through the equation,
D= sqrt ((x2 – x1)^2 + (y2 – y1)^2)
Substituting the known values,
D = sqrt ((-1 – 3)^2 + (1 – 3)^2)
D = 4.47
The length of the radius is half that of the diameter. Hence, the radius is,
R = 4.47 /2 = 2.236
Answer: r = 2.24
what transformation has changed the parent function f(x) =log3x to its new appearance shown in the graph below
Answer:
"f(x) + 2" You were correct
I really need help with these questions. What will these word problems look like?
A. The perimeter, P, of a rectangle is the sum of twice the length and twice the width.
1. P = 2(l+w) units
2. P = 2(5)+2(9) units
3. P = 4x units
4. P = (l+l)+(w+w) units
5. P = 2(x+3) units
B. The area, A, of a triangle is one-half the product of the triangle's base and height.
1. A = 1/2 (b+h)
2. A = 1/2(12)(5)
3. A = 1/2(b*h)
4. A = (x + y)/2
5. A = x^2/2
There is more than one answer to each problem. I will award brainliest answer, I really could use some help with this.