A random sample of students was surveyed on what they eat for lunch at school. The results are shown in the table
below.
Lunch Item
Number of Students
Pizza
52
Salad
26
Burger
30
Chicken Sandwich
48
Brought lunch from home
44
If the school has 1,000 students, about how many students can the cafeteria expect to buy pizza?
208
1,000
260
52
Answers
Answer:
260
Step-by-step explanation:
you would divide 52/200 because all the numbers added up is 200 and it comes out to 0.26 and the original number of students they wanted is 1,000 so look at those zeros and move the decimal 3 times and add the zero in the empty space to get 260.
A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy pizza is 260.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the number of students to the number of total students can be written as,
Ratio = (Number of students)/(Number of total students)
Ratio = 52/(52+26+30+48+44) = 52/200
Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,
Number of students who prefer pizza = 1000 × (52/200) = 260
Hence, the number of students the cafeteria should expect to buy pizza is 260.
Learn more about Ratios:
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Either the US has the highest density and Denmark has the lowest or the other way around.
Id say its that the u.s. has the highest denmark has the lowest
Answer:
Either the US has the highest density and Denmark has the lowest or the other way around.
Id say its that the u.s. has the highest denmark has the lowest
Step-by-step explanation:
The width of a rectangle is 4 feet and the diagonal length of the rectangle is 13 feet. Which measurement is closer to the length of this rectangle in feet?
A. 12.4 ft
B 13. 6ft
C 9ft
D 17 ft
I’m not sure which answer this is
Answers
Making 4^2+b^2=13^2 or
16+b=169
Take 16 from both sides
B=153 then square root both sides
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I hope this helps!
Word problem will mark brainly
Answers
Answer:
A) Replace L with the length of the skid mark:
Speed = √(20(208))
Speed= √(4160)
Speed = 64.5 miles per hour
B) set the equation to the speed and solve for L:
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Answer:
With what?
Step-by-step explanation:
Find the following trigonometric Fourier Series:
Answers
(a) Extend the definition of f(x) to make it an even function f*(x),
[tex]f^*(x)=\begin{cases}0&\text{if }-2\le x<-1\\1&\text{if }0\le x\le1\\0&\text{if }1<x\le2\end{cases}[/tex]
and we take f* to be periodic over an interval of length P = 4. We compute the coefficients of the cosine series:
[tex]a_n = \displaystyle\frac2P \int_{-2}^2 f^*(x)\cos\left(\frac{2n\pi}Px\right)\,\mathrm dx = \frac{2\sin\left(\frac{n\pi}2\right)}{n\pi}[/tex]
Note that a₀ = 1 (you can compute the integral again without the cosine, or just take the limit as n -> 0). For all other even integers n, the numerator vanishes, so we split off the odd case for n = 2k - 1 :
[tex]a_{2k-1} = \dfrac{2\sin\left(\frac{(2k-1)\pi}2\right)}{(2k-1)\pi}[/tex]
Then the cosine series of f(x) is
[tex]\displaystyle \frac{a_0}2 + \sum_{k=1}^\infty a_{2k-1}\cos\left(\frac{(2k-1)\pi}2x\right)[/tex]
(b) For the sine series, you instead extend f(x) to an odd function f*(x),
[tex]f^*(x)=\begin{cases}-1&\text{if }-2\le x\le-1\\x&\text{if }-1<x<1\\1&\text{if }1\le x\le2\end{cases}[/tex]
Again, P = 4, and the coefficient of the sine series are given by
[tex]b_n = \displaystyle\frac2P\int_{-2}^2f^*(x)\sin\left(\frac{2n\pi}Px\right)\,\mathrm dx[/tex]
which we can again split into the even/odd cases,
[tex]b_{2k} = -\dfrac1{k\pi}[/tex]
[tex]b_{2k-1} = \dfrac{4(-1)^{k+1}+2(2k-1)\pi}{(2k-1)^2\pi^2}[/tex]
So the sine series is
[tex]\displaystyle \sum_{k=1}^\infty\left(b_{2k}\sin\left(k\pi x\right) + b_{2k-1}\sin\left(\frac{(2k-1)\pi}2x\right)\right)[/tex]
I've attached plots of the extended versions of f(x) along with the corresponding series up to degree 4.
What is the solution to the equation Vn= 3n-3+1?
On=-4, n = -1
O n=-1
n=1
n= 1, n = 4
Answers
Answer:
C
Step-by-step explanation:
Each scatter plot below shows the same data. Which scatter plot has the most reasonable line of best fit?
Answers
Answer:
The second one where line go through more points
Step-by-step explanation:
Find the 97th of the arithmetic sequence 25, 29, 33, ...
Answers
Answer:
434
Step-by-step explanation:
hello :
note : the n th term of an arithmetic sequence is :
An =A1+(n-1)d ....a common difference is : d and A1 the first term
in this exercice : d = 33-29 =29-25= 4 A1 = 25
when : n =97 you have the 97rd term A97
so : A97 =25 +(97-1)(4)
A97 = 434
Write an equation of the line that passes through the pair of points. (-2, -3), (4,5)
Answers
Answer:
y=4/3x-1/3
Step-by-step explanation:
A new bank customer with $5,000 wants to open a money market account. The bank is offering a
simple interest rate of 1.5%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
Answers
Answer:
Amount of interest in 30 year = $2,250
Account balance after 30 year = $7,250
Step-by-step explanation:
Given:
Amount deposit P = $5,000
Simple interest rate = 1.5% = 0.015
Find:
Amount of interest in 30 year
Account balance after 30 year
Computation:
Interest = PRT
Amount of interest in 30 year = (5,000)(0.015)(30)
Amount of interest in 30 year = $2,250
Account balance after 30 year = P + I
Account balance after 30 year = $5,000 + $2,250
Account balance after 30 year = $7,250
Connor wants to solve the equation 4" = 26. How could he use graphs to solve this
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Drag statements into order to complete an explanation.
Answers
Answer:
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Step-by-step explanation:
Find the circumference of the circle and round to the nearest tenth
Answers
Answer: 13.8
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Identify the angles (congruent vs supplementary
Answers
Answer:
Angles 1 & 2 = supplementary
Angles 1 & 3 = supplementary
Angles 1 & 4 = congruent
Angles 1 & 5 = congruent
Angles 1 & 6 = supplementary
Angles 1 & 7 = supplementary
Angles 1 & 8 = congruent
1) The endpoints of AB are A(-3, 8) and B(4,5). If AB is
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Answers
The original length of AB is 7.62. If we dilate it with the scale factor 2, the length will be 15.23.
The slope of the line remains the same even if we dilate it, so it will remain 0.43.
(y2-y1/x2-x1)
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Jamie purchases a new pair of shoes for $35. She has a coupon for 15%
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Answer:
Ewan di ko alam e sorry I didn't understand e
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Answers
Answer:
180 mm³
Step-by-step explanation:
The polyhedron is an oblique rectangular prism
Area of the oblique rectangular prism = base area * height
height = z = 4 mm
Base area = L*W
L = y = 9 mm
W = x = 5 mm
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Answers
Answer:
80,000
Step-by-step explanation:
because you are just adding a extra zero
Solve the problem.
What is
Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by f(x) =
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x + 225
the cost per ton for x = 100?
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$346.15
$50,000.00
NO LINKS
Answers
do you add or multiply when you do area
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Answer:
either one will work.
you can either multiply length times width or you can add all the sides together.
Step-by-step explanation:
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mulitpy
Step-by-step explanation:
area= L x W
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Answer:
3 + 8 times 3 +27 times 3 + 64 times 3+ 125 times 3 + 216 times 3+ 343 times 3
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Step-by-step explanation:
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A. Washing Powder
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(easy)
Answers
Answer:
Washing Powder
Step-by-step explanation:
Cost less and cleans better.
Answer:
The washing powder I think?
Step-by-step explanation:
My teacher says the answer is not 140 or 90
Answers
Answer:
150
Step-by-step explanation:
Area of A:
A = bh
A = 10(10)
A = 100
Area of B:
A = 1/2bh
A = 1/2(10)(10)
A = 5(10)
A = 50
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100 + 50
150
Answer:
150
Step-by-step explanation:
My math genius friend told meh the answer bc I'm not smart at math.
Assume that 3-month Treasury bills totaling $12 billion were sold in $10,000 denominations at a discount rate of 3.605%
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What is the discount amount for the six-month bills?
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Answer: 55,000,000
this might not be right but hear
The ___ is the ratio of a length of the new figure to the corresponding length on the original figure
Answers
scale factor
Explanation:
The ratio of the side lengths of the image to the corresponding side lengths of the original figure is the scale factor of the dilation.
What is the Estimate of 296.8
Answers
Answer:
The answer is 297
1. Solve: 9^2x + 1 = 9^3x – 2
x = ?
2. Solve: 18^x^2 4x+4
A. x=-2
B. x=7
C. x=-2 and x=7
D. no solution
Answers
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3
Answer:
C. x=-2 and x=7
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3
Choose the graph of the following function:
f(x) = 2 cos(3x)
Graph A
-4
Graph B
4
3
MAAILMA
Answers
Answer:
Graph B
Step-by-step explanation:
Let take a look of original graph, cos(x)
The amplitude of that graph is 1.
The ampictude of both graphs is 2 so that means the amplitude transformation, 2 has been applied.
We need to find the x intercept.
[tex] \cos(0 ) = 1[/tex]
so
[tex]2 \cos(3(0)) = 2[/tex]
The graph should intersecting at point
0,2 so the answer is
Graph B
Answer:
B on edge
Step-by-step explanation:
Need help with this question
Answers
Answer:
B. 45
Step-by-step explanation:
we know the sum of both angles is 90 because of the small sqaure in the corner.
90 = 2x+20
70 = 2x
45 = x
Answer:
35
Step-by-step explanation:
Because of the box in the graph, you can tell that this is a 90-degree angle
2x means the next angle will be twice of the answer choice number
because the end product must be 70 the answer must be 35
35 x 2 = 70
If 3=7k and 7= m/2 then mk=
Answers
Answer:
Step-by-step explanation:
3=7k
Meaning k = 3/7
7=m/2
Meaning m = 7*2 = 14
Therefore mk = 3/7*14 = 6
The product of m and k i.e. mk is 6.
Algebraic terms usually consist of two or more variables with their arithmetic operations.
From the parameters given:
3 = 7k ---- (1)
7 = m/2 ---- (2)
We are to determine mkFrom equation (1), let's make (k) the subject, we have:
k = 3/7
From equation (2), let's make (m) the subject, we have:
m = 7 × 2
m = 14
The product of m and k which is mk will now be:
= 14 × 3/7
= 2 × 3
= 6
Learn more about algebraic terms here:
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The odds in favor of Frank McKinnis winning a hot dog eating contest are 2:7.
simple
a. Determine the probability that Frank will win the contest.
nas 0.216
b. Determine the probability that Frank will not win the contest.
a. The probability that Frank will win the contest is
b. The probability that Frank will not win the contest
Answers
Answer:
the probability of winning & not winning the contest is 2 ÷ 9 and 7 ÷ 9 respectively
Step-by-step explanation:
The computation is shown below
a. The probability of Frank win the contest is
= 2 ÷ 2 + 7
= 2 ÷ 9
b. The probability of Frank that not win the contest is
= 1 - 2 ÷ 9
= 7 ÷ 9
hence, the probability of winning & not winning the contest is 2 ÷ 9 and 7 ÷ 9 respectively
The same would be relevant
