To find the number of full cabins, divide the total number of campers by the number of campers in each cabin. Round the answer up to the nearest whole number.
Explanation:To find the number of full cabins, you can divide the total number of campers by the number of campers in each cabin.
148 campers / 28 campers per cabin = 5.2857 cabins
Since we can't have fractional cabins, we round up to the nearest whole number, which is 6.
Therefore, there are that are full.
Final answer:
There are 6 cabins that are full.
Explanation:
To find the number of cabins that are full, we need to divide the total number of campers by the number of campers each cabin can hold. In this case, there are 148 campers and each cabin can hold 28 campers.
We can solve this problem by dividing 148 by 28: 148 ÷ 28 = 5.2857.
Since we cannot have a fraction of a cabin, we round up to the nearest whole number. Therefore, there are 6 cabins that are full.
29,141 write in expanded form
(-5)(2)-2(-3)+3
Expression
Perform Multiplication
Simplify
Anna wants to make 4 sets of curtains. Each setbrequires 5 1/8 yards of fabric. How much fabric does she need?
Hayden is 59 inches tall and is standing on top of a ladder that is 2 yards tall. In inches, what is the distance from the top of Hayden's head to the ground?
A certain breed of mouse was introduced onto a small island with an initial population of 320 mice, and scientists estimate that the mouse population is doubling every year. (a) find a function that models the number of mice m after t years.
A rectangle has a base of 2 yd and a height of 5 ft. Find the area of the rectangle. 30 yd2 30 ft2 10 yd2 10 ft2
Answer: [tex]30\ ft^2[/tex]
Step-by-step explanation:
We are given that
The base of the rectangle = 2 yards
The height of the rectangle = 5 feet
We know that
1 yard = 3 feet
Then , the base of the rectangle = [tex]2 \times3=6\text{ feet}[/tex]
Now, the are of the rectangle will be :-
[tex]\text{Area}=\text{Height x Base}\\\\\Rightarrow\ \text{Area}=5\times6\text{ square feet}\\\\\text{Area}= 30\text{ square feet}[/tex]
Hence, the area of the rectangle = [tex]30\ ft^2[/tex]
Answer:
i think is 30ft2
Step-by-step explanation:
this number is 0.02 more than five and five tenths
I want to test for symmetry when theta=pi-theta...........r=4cos 2theta
Given the triangle below which of the follwing is a correct statement?
y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?
Answer: 0.12
Step-by-step explanation:
A town has two high schools. The town has only one baseball field. There are 1,000 seats available for students to watch baseball games. All of the 10th grade students at both high schools want to attend a game. The greatest percentage of 10th grade students who will have a seat is
Let w be the set of all points in r3 that lie in the xz-plane. is w a subspace of r3?
How do you solve 792 divided by 22
The model was shaded two different ways to show a product. Which product is shown by the model?
Answer:
3/4.
Step-by-step explanation:
4/8 simplified=1/2 6/8 simplified=3/4.
The sum of eight and a number is one hundred. What is the number?
Evaluate a/b for a = 1/2 and b = -3/7
Answers:
3/14
-32/21
-3/14
-7/6
i have a 5 in my ones place the digit in my tens place is 3 plus the digit in my ones place the digit in hundreds place is 2 less than the digit in my ones place what number am i
Write the slope intercept form of the equation of each line algebra 1
Translate this sentence into an equation. The difference of Rhonda's height and 16 is 52. Use the variable to represent Rhonda's height.
The sentence 'The difference of Rhonda's height and 16 is 52' translates into the equation 'h - 16 = 52'. Here, 'h' represents Rhonda's height.
Explanation:The subject matter of this question falls under Mathematics. Specifically, it deals with basic algebra where you have to translate word problems to an algebraic equation. Remember that the phrase 'the difference of' in math refers to the operation of subtraction. So, when you read 'the difference of Rhonda's height and 16 is 52,' that means Rhonda's height (which we’ll denote as 'h') minus 16 equals 52 (52 comes from the phrase 'is 52' because 'is' usually represents equal '='). Therefore, when this sentence is written in the form of an equation, it will look like: h - 16 = 52.
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Carlie works at a bakery making bagels and donuts. the oven timer for the donuts buzzes every 30 minutes, and the timer for the bagels buzzes every 40 minutes. if she started both timers at 8:00
a.m., when will the timers buzz at the same time?
The donut and bagel timers at Carlie's bakery will buzz together every 2 hours, so they will buzz at the same time for the first time at 10:00 a.m.
Explanation:This question is about finding the Least Common Multiple (LCM) of the two numbers - 30 minutes (the time the donut timer buzzes) and 40 minutes (the time the bagel timer buzzes). The LCM of 30 and 40 is 120 minutes. This means that the timers for the bagels and the donuts will buzz at the same time every 120 minutes, or 2 hours. Since Carlie starts both timers at 8:00 a.m., the timers will buzz together for the first time at 10:00 a.m.
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Write 2.1111111 as a mixed number
387,422 rounded to the nearest hundred thousand
What is fifteen out of eighteen in simplest form
The greatest common factor of 18 and a and 20 AB
Answer:
1
Step-by-step explanation:
GCF(18, a, 20ab) = 1
18 and a do not necessarily have any factor in common, so their GCF is 1. Adding more terms to the list will not increase the GCF beyond that value.
A laboratory technician needs to make a 108-liter batch of a 20% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?
A scatter plot is used to visualize the association between two quantitative variables tru false
Use spherical coordinates. evaluate (x2 + y2) dv e , where e lies between the spheres x2 + y2 + z2 = 1 and x2 + y2 + z2 = 25.
To solve this problem, it is necessary determine the integrations limits first.
The solution is:
V = 1666,13×π vol units
In order to express the information in spherical coordinates, we have:
x = ρ×cosθ×sinφ
y = ρ×sinθ×sinφ
z = ρ×cosφ
and dV = ρ²×sinφ×dρ×dθ×dφ
0 ≤ φ ≤ π
0 ≤ θ ≤ 2×π
x² + y² + z² = 25 and x² + y² + z² = 1 are two concentric spheres with center at the origin and radius 5 and 1 respectevely .
According to that:
1 ≤ ρ ≤ 5
V = ∫∫∫ ( x² + y² )× dV
V = ∫∫∫ ( x² + y² )×ρ²×sinφ×dρ×dθ×dφ
V = ∫∫∫ ( ρ²×cos²θ×sin²φ + ρ²×sin²θ×sin²φ ) ×ρ²×sinφ×dρ×dθ×dφ
V = ∫∫∫ [ ρ²×sin²φ ( cos²θ + sin²θ ) ×ρ²×sinφ×dρ×dθ×dφ
V = ∫∫∫ [ ρ²×sin²φ×ρ²×sinφ×dρ×dθ×dφ
V = ∫∫∫ [ ρ⁴×sin³φ×dρ×dθ×dφ
V = ∫₁⁵ρ⁴×dρ ×∫dθ ×∫sin³φ×dφ
V = ρ⁵/5 |₁⁵×∫dθ ×∫sin³φ×dφ
ρ⁵/5 |₁⁵ = 5⁵/5 - 1⁵/5 = 3125 / 5 - 1/5 = 3124/5
V = 3124/5× θ |₀²π×∫sin³φ×dφ
θ |₀²π = 2×π - 0
V = 3124/5× (2×π) ×∫sin³φ×dφ
∫sin³φ×dφ [ 0 y π ] = 4/3 (from Simbolab)
V = 3124/5× (2×π) ×4/3
V = 1666,13×π vol units
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A ski club charges a $48 membership fee, plus $18 to rent ski equipment per day. Which of the following equations can be used to find the total cost of membership at the club, when renting equipment for x days?
The equation for the given situation is y=48+18x.
Given that, a ski club charges a $48 membership fee, plus $18 to rent ski equipment per day.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, equipment is renting for x days.
Let the total cost of membership at the club be y.
Now, y=48+18x
Therefore, the equation for the given situation is y=48+18x.
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At 3 p.m. an oil tanker traveling west in the ocean at 14 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 2 p.m. while traveling north at 16 kilometers per hour. if the "spot" is represented by the origin, find the location of the oil tanker and the location of the luxury liner t hours after 2 p.m. then find the distance d between the oil tanker and the luxury liner at that time.
Follow below steps:
The location of the oil tanker and the luxury liner at time t hours after 2 p.m.:
The oil tanker's location: (-14t, 0)
The luxury liner's location: (0, 16t)
The distance d between the oil tanker and the luxury liner at time t:
The distance formula = √((-14t - 0)^2 + (0 - 16t)^2) = √(196t^2 + 256t^2) = √(452t^2) = 2√(113)t
The distance d between the oil tanker and the luxury liner at that time is [tex]\( \sqrt{452} \cdot t \)[/tex] kilometers.
To solve this problem, we'll use the concepts of distance, speed, and coordinate geometry.
Let ( t ) be the number of hours after 2 p.m.
Location of the Oil Tanker:
At ( t ) hours after 2 p.m., the oil tanker has traveled ( 14t ) kilometers west from the origin.
So, its location is (-14t, 0) .
Location of the Luxury Liner:*
At ( t ) hours after 2 p.m., the luxury liner has traveled ( 16t ) kilometers north from the origin.
So, its location is (0, 16t).
Distance between the Oil Tanker and the Luxury Liner:
We'll use the distance formula: [tex]\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).[/tex]
[tex]\[ d = \sqrt{(-14t - 0)^2 + (0 - 16t)^2} \][/tex]
[tex]\[ d = \sqrt{(-14t)^2 + (-16t)^2} \][/tex]
[tex]\[ d = \sqrt{196t^2 + 256t^2} \][/tex]
[tex]\[ d = \sqrt{452t^2} \][/tex]
[tex]\[ d = \sqrt{452} \cdot t \][/tex]
So, the location of the oil tanker is [tex]\( (-14t, 0) \)[/tex], the location of the luxury liner is [tex]\( (0, 16t) \)[/tex], and the distance between them at ( t ) hours after 2 p.m. is [tex]\( \sqrt{452} \cdot t \)[/tex] kilometers.
John made of a pound of fudge and Mary made of a pound of fudge. Ricky takes the sum of the two amounts of fudge and divides it into three equal portions, planning to keep one portion for himself. How much fudge does Ricky keep?