Final answer:
Both schools will serve chicken wraps again on March 29th.
Explanation:
The question involves finding the next calendar date when both the high school and middle school will serve chicken wraps again. To solve this problem, we need to find the Least Common Multiple (LCM) of the two repeating cycles, which are 6 days for the high school and 8 days for the middle school.
First, let's calculate the LCM of 6 and 8:
Multiple of 6: 6, 12, 18, 24, 30, 36, 42, 48, ...Multiple of 8: 8, 16, 24, 32, 40, 48, ...We find that the smallest common multiple is 24 days.
Since both schools served chicken wraps on March 5th, we simply add 24 days to that date. This gives us:
March 5th + 24 days = March 29thTherefore, both schools will serve chicken wraps again on March 29th.
what is length of DE
In the parabola y = (x + 1)2 + 2, what is the vertex?
The vertex form of a quadratic equation is expressed as y = a(x - h)^2 + k. The vertex of the parabola is (-1, 2)
Vertex form of an equationThe vertex form of a quadratic equation is expressed as:
y = a(x - h)^2 + k
where (h, k) is the vertex of the equation
Given the equation of the parabola as y = (x - 1)^2 + 2, On comparing;
h = -1
k =2
Hence the vertex of the parabola is (-1, 2)
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The sum of three consecutive integers is −261−261. Find the three integers.
i need help to evaluate this p + (-q) - 2 where p = -3 and q =5
1 penny has a mass of 4 grams and is 1.55 millimeters thick. How much mass will a stack of 20 pennies tall have?
To find the mass of a stack of 20 pennies, multiply the mass of a single penny by 20.
Mass of a single penny: A single penny weighs around 3 grams on average.
Calculate the total mass: Multiply the mass of a single penny by the number of pennies in the stack (4 grams/penny * 20 pennies).Answer: A stack of 20 pennies will have a mass of 80 grams.What is the fourth term in the arithmetic sequence 13,10,7
The fourth term in the arithmetic sequence 13, 10, 7 is 4.
Explanation:The arithmetic sequence 13, 10, 7 has a common difference of -3. To find the fourth term, we can start with the first term and keep subtracting the common difference. So, 13 - 3 = 10, 10 - 3 = 7, and 7 - 3 = 4. Therefore, the fourth term in the arithmetic sequence 13, 10, 7 is 4.
What is the range of f(x) = 4x?
Answer:
D. All positive real numbers
Step-by-step explanation:
The range of a function f(x) are all the possibles values that f(x) can take. So in the function of the question it doesn't matter what value takes x, f(x) is always going to be a positive number. For example:
f(0)=[tex]4^{0}[/tex]=1
f(-1)=[tex]4^{-1}[/tex]=1/4
f(2)=[tex]4^{2}[/tex]=16
Then, the range of f(x) is all positive real numbers.
Find the domain of each function. (enter your answers using interval notation.) (a) f(x) = 2 4 + ex
Andrew is planning a tailgate party before the big football game. He has budgeted a maximum of $60 for hamburgers and hot dogs. Hamburgers cost $3 per pound, and hot dogs cost $2 per pound. Write an inequality to describe the possible number of pounds of hamburgers and of hot dogs he can purchase.
The inequality that describes the the possible number of pounds of hamburgers and of hot dogs he can purchase is 3x + 2y ≤ 60.
We have,
Let x be the number of pounds of hamburgers that Andrew purchases, and let y be the number of pounds of hot dogs that he purchases.
The cost of x pounds of hamburgers is 3x dollars, and the cost of y pounds of hot dogs is 2y dollars.
According to the problem, Andrew has budgeted a maximum of $60 for hamburgers and hot dogs.
Therefore, we can write the following inequality:
3x + 2y ≤ 60
This inequality describes the possible combinations of x and y that Andrew can purchase, such that the total cost of hamburgers and hot dogs does not exceed his budget of $60.
Thus,
The inequality that describes the the possible number of pounds of hamburgers and of hot dogs he can purchase is 3x + 2y ≤ 60.
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You need to fill a football with air to play with it. You know that your pump expels air at speed of 8.2 ft/s. The needle of your pump has a radius of 4.5 millimeters. What is the volume flow rate of the air being pumped into the football?
Answer:
The volume flow rate of the air being pumped into the football is approximately [tex]\( 5.261 \times 10^{-7} \)[/tex] cubic feet per second.
Explanation:
To find the volume flow rate of the air being pumped into the football, we first need to calculate the cross-sectional area of the needle of the pump.
Given:
- The radius of the needle, [tex]\( r = 4.5 \)[/tex] millimeters.
The cross-sectional area, [tex]\( A \)[/tex], of the needle can be calculated using the formula for the area of a circle:
[tex]\[ A = \pi r^2 \][/tex]
Converting the radius from millimeters to feet:
[tex]\[ r = \frac{4.5}{1000} \text{ feet} \][/tex]
Now, let's calculate the cross-sectional area:
[tex]\[ A = \pi \left( \frac{4.5}{1000} \right)^2 \][/tex]
[tex]\[ A \approx \pi \left( \frac{0.0045}{1000} \right)^2 \][/tex]
[tex]\[ A \approx \pi \times 2.025 \times 10^{-8} \text{ square feet} \][/tex]
Now, we can find the volume flow rate, [tex]\( Q \)[/tex], of the air being pumped into the football. The volume flow rate is the product of the cross-sectional area of the needle and the speed of the air:
[tex]\[ Q = A \times \text{Speed} \][/tex]
Given:
- Speed of the air, [tex]\( \text{Speed} = 8.2 \)[/tex] ft/s
Now, let's calculate the volume flow rate:
[tex]\[ Q = \pi \times 2.025 \times 10^{-8} \text{ square feet} \times 8.2 \text{ ft/s} \][/tex]
[tex]\[ Q \approx 5.261 \times 10^{-7} \text{ cubic feet/s} \][/tex]
Each U.S. penny weighs 2.5 grams. How many pennies,x is how many pennies it an equation, are on scale if their total weight is 37.5 grams:A. 2.5+x=37.5 x=12,B. 2.5x=37.5 x=15, C. x-2.5=37.5 x=40,D. 2.5x=37.5 x=18???? please answer quick.
URGENT
The depth of water in the port at hinchinbrook is given by: d(t)= 2.6 sin (Pi over 6 t) + 13.1, where d is in meters and t is the number of hours since high tide.
Use the model to determine how many hours are there between high tides.
If high tide was at midnight, draw a graph to determine during which hours should it be safe for the boats to be in the port and between which hours they would have to stay away from the port. Justify answers mathematically
What is the expression for the calculation double 5 and then multiply by 3?
The cost of a new house can be represented by the regression equation c = 120f + 90,000, where $120 is the cost per square foot and $90,000 is the cost of the lot. A new house on a lot costs $438,000. How many square feet does it have?
Answer: 2900 Square Feet
Step-by-step explanation: i took the test
how can you use absolute value to represent a negative number in a real world situation
A piece of land is to be fenced and subdivided as shown to that each rectangle has the same dimensions. Express the total amount of fencing needed as an algebraic expression in x. Find the total amount of fencing.
subtracting 3 from the product of 6 and a number results in the number added to 52. how would i write this out
a 26 inch piece of Steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 2 in more than three times the length of the first piece find the links of the pieces
What number is 2 hundred 15 tens and 6 one
Which of the various ways of orienting the definitional triangle must be used to resolve n⃗ into components in the tilted coordinate system shown? (in the figures, the hypotenuse is blue (long dashes), the side adjacent to θ is red (short dashes), and the side opposite is yellow (solid).)?
Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether
Write forty and eight tenths as a decimal
Solve your formula from problem 12 for m. Then find the taxi driver’s hourly rate of his pickup rate is $2 and he charges $19.50 for a 7 - mile trip
Answer: Cost per mile m = $4.78.
Step-by-step explanation:
Since we have given that
Pick up rate = $2
Charges for a 7 mile trip = $19.50
Charges for a mile trip would be
[tex]\dfrac{19.50}{7}\\\\=2.78[/tex]
So, amount of taxi's drivers is given by
[tex]\$2.78+\$2\\\\=\$4.78[/tex]
Hence, cost per mile m = $4.78.
What is the retail price of a couch at a furniture store that has a wholesale price of $115 and is marked up by 75 percent? $86.25 $190.00 $201.25 $316.25
A percentage is a way to describe a part of a whole. The retail price of a couch at a furniture store that has a wholesale price of $115 and is marked up by 75% is $201.25.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the wholesale price of the couch at a furniture store is $115. Now, as the retail price is marked up by 75%, therefore, the new price of the couch can be written as,
The new price of the couch = 175% of the wholesale price
= 1.75 × $115
= $201.25
Hence, the retail price of a couch at a furniture store that has a wholesale price of $115 and is marked up by 75% is $201.25.
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A sample of n = 8 scores has ss = 50. if these same scores were a population, then the ss value for the population would be ____.
Answer:
5.69999
Step-by-step explanation:
The length of a rectangle is 18 cm less than five times it's width. It's area is 35 cm². Find the dimensions of the rectangle.
Juan's baseball card collection was worth 800$. Over the last 5 years,thw collection decreased $300 in value. What integer representa the average decrease in value each year.
Final answer:
The average yearly decrease in the value of Juan's baseball card collection, which decreased by $300 over 5 years, is $60. This integer represents the yearly reduction in value.
Explanation:
Juan's baseball card collection was worth $800. Over the last 5 years, the collection decreased by $300 in value. To find the average decrease in value each year, we can use the formula: Average decrease per year = Total decrease / Number of years.
Given that the total decrease is $300 and the time period is 5 years, the calculation would be:
Average decrease per year = $300 / 5 = $60.
Therefore, the integer that represents the average decrease in value each year for Juan's baseball card collection is $60.
Maria wrote the equation of a line that has a slope of 4/3and passes through point (3, 5). Which statement is true?
Answer:
B
Step-by-step explanation:
The slope intercept equation is [tex]y=\frac{4}{3}x+1[/tex] is true statement. Option C is correct.
From the given information the slope of the line is 4/3 and it is passing through point (3, 5).
Now, determine the equation of line in slope intercept form.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
To find the equation, first find the y intercept by considering the point values (3, 5).
[tex]5 = \frac{4}{3}+b[/tex]
[tex]5=4+b[/tex]
[tex]b=1[/tex]
Now plug in the values of slope and y intercept in slope intercept form:
[tex]y=\frac{4}{3}x+1[/tex]
Hence, Option C is correct, he equation of the line is [tex]y=\frac{4}{3}x+1.[/tex]
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The complete question is given in the attachment.
Jonathan can jog 3 2/5 miles in 7/8 hour.Find his average speed in miles per hour
evaluate the expression 4(2x + 3) + 2(x + 1)-7