Perform the following food service calculation. Size of juice can = 54 oz. Portions of juice served = 6 oz. Number of cases used = 2 Number of cans per case = 12 How many guests can be served? 54 216 1,944 7,776
Answer: 216 guests.
Step-by-step explanation: We are given total number of cases = 2 Number of cans.
Number of cans per case = 12 cans.
Total number of cans in 2 cases = 2 cases × 12 cans = 24 cans
Each can contain = 54 oz of juice.
24 cans would contain total = 24 cans × 54 oz per can = 1296 oz juice.
Number of oz per serving = 6 oz.
Total number of guests can be served = 1296 oz / 6 oz per serving = 216 guests.
Find the degree of the polynomial and indicate whether the polynomial is a monomial binomial trinomial or none of these 10x4-3w3+7w+5y5-4
The given polynomial 10x^4-3w^3+7w+5y^5-4 has a degree of 5 as the highest power of variable is 5. Also, it has five terms, hence it is neither a monomial, binomial nor trinomial.
Explanation:The polynomial in question is 10x4-3w3+7w+5y5-4. The degree of a polynomial is determined by the highest power of the variable in the polynomial. Here, the highest powers are 4 (from 10x4) and 5 (from 5y5). Since 5 is larger than 4, the degree of the polynomial is 5.
Furthermore, the given polynomial has five terms, so it is not a monomial, binomial or trinomial. These terms refer to polynomials with one, two, or three terms respectively. Therefore, the given polynomial does not fall under any of these categories.
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If you have a $1 bill a 5 bill a 10 bill and a 20 bill how many different sums of money
Read the following statement: x + 6 = 6 + x. This statement demonstrates:
the substitution property.
the reflexive property.
the symmetric property.
the transitive property.
How many ways can 8 books be arranged on a shelf? Show all of your work for full credit.
Answer:
40,320.
Step-by-step explanation:
We are asked to find the number of ways in which 8 books could be arranged on a shelf.
The 1st could be arranged in 8 ways. Since one place is filled, so 2nd book could be arranged in 7 ways.
Similarly, the 3rd book could be arranged in 6 ways as first two places are already taken. This process will go on.
So the 8 books can be arranged in [tex]8\times 7 \times 6\times5\times4\times3\times2\times1=8![/tex]
[tex]8!=40,320[/tex]
Therefore, 8 books could be arranged in 40,320 ways.
The number of ways to arrange 8 books on a shelf is 40,320.
We have to determineHow many ways can 8 books be arranged on a shelf?
According to the questionThere is total number of books is 8.
Then,
The arranging the way of 8 books also be 8.
If one of the 8 books is placed in the first place, only 7 of them can be placed in 2nd place. In 3rd place, only 6 of them can be placed.
This continues all the way to 1.
A permutation is an arrangement of objects in a particular way.Then,
The number of ways to arrange 8 books on a shelf is,
[tex]= 8!\\ \\ = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\\ \\ =40,320 [/tex]
Hence, The number of ways to arrange 8 books on a shelf is 40,320.
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A sequence has its first term equal to 8, and each term of the sequence is obtained by adding 6 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence?
Answer:
f(1) = 8 and f(n) = f(n − 1) + 6; n > 1
Analyze the diagram below and complete the instructions that follow.
2004-04-02-05-00_files/i0370000.jpg
Find the area of triangle QRS. Round the answer to the nearest tenth.
A.
19.4 square units
B.
91.2 square units
C.
1,040.5 square units
D.
1,052.4 square unts
given that (-2,7) is on the graph of f(x), find the corresponding point for the function f(x+4)
Answer:
CORRECT ANSWER ON PLATO: -6,7
Step-by-step explanation:
Which number produces irrational number when added to 0.5
Answer with explanation:
The number in which we have to add a number to give irrational = 0.5
[tex]0.5=\frac{5}{10}\\\\=\frac{1}{2}[/tex]
is a Rational Number as the decimal expansion terminates or denominator contains the number in the form of [tex]2^n \text{or} 5^m \text{or} 2^n \times 5^m[/tex].
→Sum of two Rationals Can't be a Irrational Number.
→Sum of Rational And Irrational is Irrational.
So, if you add any Irrational number like √2,π,∛2 to , 0.5 , it will give an Irrational Number.
⇒0.5 +Irrational Number=Irrational Number
A cyclist rides her bike at a speed of 10 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 2 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Final answer:
The speed of the cyclist is 16 km/h and she will travel a distance of 32 kilometers in 2 hours.
Explanation:
To convert the speed from miles per hour (mph) to kilometers per hour (km/h), we can use the conversion factor of 1 mile = 1.6 kilometers. So, if a cyclist rides her bike at a speed of 10 mph, we can multiply 10 by 1.6 to find the speed in km/h. Therefore, the speed of the cyclist is 16 km/h.
To calculate the distance traveled in 2 hours, we can use the formula: distance = speed × time. Since the speed of the cyclist is 16 km/h and the time traveled is 2 hours, we can multiply 16 by 2 to find the total distance. Therefore, the cyclist will travel 32 kilometers in 2 hours
Final answer:
To convert the speed from miles per hour (mph) to kilometers per hour (km/h), multiply the speed by the conversion factor. The cyclist will travel 32 kilometers in 2 hours.
Explanation:
To convert the speed from miles per hour (mph) to kilometers per hour (km/h), we can use the conversion factor of 1 mile = 1.6 kilometers. Thus, if the cyclist rides at a speed of 10 mph, we can find the speed in km/h by multiplying it by the conversion factor:
Speed (km/h) = Speed (mph) x Conversion factor
Speed (km/h) = 10 mph x 1.6 km/mi = 16 km/h
Next, to calculate the distance the cyclist will travel in 2 hours, we can use the formula:
Distance = Speed x Time
Distance = 16 km/h x 2 hours = 32 kilometers
A building has an entry the shape of a parabolic arch 96 ft high and 18 ft wide at the base, as shown below. Find an equation for the parabola if the vertex is put at the origin of the coordinate system
The equation of the parabola if the vertex is put at the origin of the coordinate system is y =-32/27x^2
The height of the arch is given s:
height = 96 ft
The width of the base is given as:
width = 18 ft
A point on the building would be
(x,y) = (width/2, height)
So, we have:
(x,y) = (18/2, 96)
Simplify
(x,y) = (9, 96)
A parabola is represented as:
y = -a(x - h)^2 + k
The vertex of the parabola is at the origin.
So, we have:
y = -ax^2
Substitute (x,y) = (9, 96)
96 = -a * 9^2
This gives
96 = -81a
Divide both sides by 81
a= -96/81
So, the equation of the parabola is
y =-96/81x^2
Simplify
y =-32/27x^2
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Choose the linear inequality that describes the graph. The gray area represents the shaded region
Answer:
y > -5x + 3
Step-by-step explanation:
the system of equations graphed below has how many solutions?
Answer:
answer is C. 0
Step-by-step explanation:
Assume that all chickens have 4725 feathers. if it takes you 5.6 seconds to pluck 24.8 feathers, how many hours would it take you to defeather 7728 chickens? answer in units of hours.
It would take approximately 2284.722 hours to defeather 7728 chickens.
Explanation:To find out how many hours it would take to defeather 7728 chickens, we need to consider the time it takes to pluck a certain number of feathers. We are given that it takes 5.6 seconds to pluck 24.8 feathers. First, we find the time it takes to pluck one feather by dividing the time by the number of feathers: 5.6 seconds ÷ 24.8 feathers = 0.2258 seconds per feather.
Next, we find the total number of feathers on 7728 chickens by multiplying the feather count per chicken by the total number of chickens: 4725 feathers/chicken × 7728 chickens = 36,396,000 feathers.
Finally, we find the total time it would take to defeather all the chickens by multiplying the time per feather by the total number of feathers: 0.2258 seconds/feather × 36,396,000 feathers = 8,224,996.8 seconds. Converting this to hours, we divide by the number of seconds in an hour: 8,224,996.8 seconds ÷ 3600 seconds/hour ≈ 2284.722 hours.
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Two exterior angles of a triangle equal 100° and 150°. Find all the interior angles
The angles of the triangle will be 70°, 30°, and 80°.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
We know that the sum of the interior and the exterior angles is 180 degrees.
Two exterior angles of a triangle equal 100° and 150°.
The interior angle corresponding to the exterior angle of 100° will be
⇒ 180° - 100°
⇒ 80°
The interior angle corresponding to the exterior angle of 100° will be 80°.
The interior angle corresponding to the exterior angle of 150° will be
⇒ 180° - 150°
⇒ 30°
The interior angle corresponding to the exterior angle of 150° will be 30°.
Then the third angle of the triangle will be
⇒ 180° - 80° - 30°
⇒ 70°
The angles of the triangle will be 70°, 30°, and 80°.
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Can someone help me please ? Thanks!
Find all the real zeros of the function.
Algebraic expression for 5 times a number
Final answer:
The algebraic expression for 5 times a number is 5x.
Explanation:
The algebraic expression for 5 times a number is 5x.
The variable x represents the unknown number.
When you multiply 5 by any number, you can represent it as 5 times that number.
So, if the number is 10, the expression would be 5 times 10, which is equal to 50.
Confused. Please help thank you!
#6 is using using ratios:
7/2x+4 = 4/x+3 =
8x+16 =7x+21 =
8x=7x+5 =
x=5
AC = 2(5)+4= 14 + 5+3=8, 14+8 =22
#7
ratio of known sides 9/4 =2.25 now multiply other 2 sides by 2.25
7*2.25 = 15.75
9*2.25=20.25
perimeter = 9 +15.75+20.25 = 45
Grade 12 data!!
18% of a population eats yogurt daily. What is the probability that, in a group of 10 people, 4 of them eat yogurt daily?
0.0032 0.072 0.067 0.00032
Answer:
The probability that, in a group of 10 people, 4 of them eat yogurt daily is 0.067
Step-by-step explanation:
In this case we can apply a Binomial distribution in which there are n events and every event have a probability p to get a success. Then, the probability of x is:
[tex]P(x)=nCx*p^{x}*(1-p)^{n-x}[/tex]
Where x is the number of people who eat yogurt daily, n is the total number of people and p is the probability of eats yogurt daily.
Additionally nCx is calculated as:
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
So, for the question we know that:
n=10
p=0.18
x=4
Replacing this values on the equation, we get:
[tex]P(4)=10C4*0.18^{4}*(1-0.18)^{10-4}[/tex]
P(4)=0.067
Finally, the probability that, in a group of 10 people, 4 of them eat yogurt daily is 0.067
Simplify.
6m+7n+5m−3n
15mn
11m + 10n
m + 10n
11m + 4n
to simplify combine all like terms
6m +5m = 11m
7n-3n = 4n
so it would be 11m+4n
The value of a $225,000 house increases at a rate of 3.5% each year. Use a graph to predict the value of the house in 8 years.
A) ≈ $276,582
B) ≈ $286,263
C) ≈ $306,652
D) ≈ $296,282
A barge that is used to transport bulk items is the shape of a rectangular prism and is 90 feet long, 35 feet wide, and 12 feet deep. If the barge can only be filled to a height of 75% of its depth, what volume of bulk items can the barge hold? ft3
Final answer:
The barge can hold 28,350 cubic feet of bulk items when filled to 75% of its depth, calculated by using the volume formula for a rectangular prism.
Explanation:
To calculate the volume of bulk items the barge can hold, we first determine the maximum height to which it can be filled. This is 75% of the barge's depth. Therefore, the fill height is 75% of 12 feet, which equals:
0.75 × 12 ft = 9 ft.
The volume V that the barge can hold is given by the formula for the volume of a rectangular prism:
V = length × width × height
Substituting the given dimensions and the fill height into the formula, we get:
V = 90 ft × 35 ft × 9 ft = 28,350 ft³.
So, the barge can hold 28,350 cubic feet of bulk items when filled to 75% of its depth.
What is the perimeter of the nonagon below?
Answer:
Step-by-step explanation:
Alright, lets get started.
The sides of nonagon are given as below :
13
8
5
11
10
9
10
7
21
So, the perimeter will be addition of these sides.
Hence he perimeter is = [tex]13+8+5+11+10+9+10+7+21 = 94[/tex]
Hence the perimeter is 94 units (D) : Answer
Hope it will help :)
How do you write 12 hundreds
12.252525... is an example of a ___ decimal?
Two friends left school at the same time and drove in opposite directions. One friend averages 40 miles per hour and the other friend averages 35 miles per hour. when will they be 150 miles apart?
Answer:
The two friends will be 150 miles apart in 2 hours
Step-by-step explanation:
The two friends left the school at the same time and drove in opposite directions. One of them have a speed of 40 miles per hour while the other have a speed of 35 miles per hour .
The both of them are moving apart at the rate = 40 + 35 = 75 miles per hour
let
t = time at which they are 150 miles apart
speed = distance/time
time = distance/speed
time = 150/75
time = 2 hours
The two friends will be 150 miles apart in 2 hours
Write x2 - 12x + 8 = 0 in vertex form.
Suppose your walking rate is 4 feet per second. write that in miles per hour
What is the area of triangle PQR?
Answer:
B. 2236square inches
Step-by-step explanation:
Formula for calculating the area of a triangle = 1/2 × base × height.
According to the triangle,
Base = QR = 86inches
Height = 52inches
Area of ∆PQR = 1/2 × 86 × 52
Area of ∆PQR = 43 × 52
Area of ∆PQR = 2236square inches