Mathematics College

there are 28 tables in the cafeteria.each table has 12 students sitting at it.fourth graders sit at 13 of the yables.fifth graders sit at the rest of the tables.how many fifth graders are there?

Answers

Answer 1

Hope this helps!

28 - 13 = 15
15 x 12 = 180 Fifth graders

Related Questions

Derivative of y = cos(x-1)/(x-1)

Answers

Answer:

[tex]\displaystyle y' = \frac{- \cos (x - 1)}{(x - 1)^2} - \frac{\sin (x - 1)}{x - 1}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \frac{\cos (x - 1)}{x - 1}[/tex]

Step 2: Differentiate

Derivative Rule [Quotient Rule]: [tex]\displaystyle y' = \frac{\Big( \cos (x - 1) \Big)'(x - 1) - \cos (x - 1)(x - 1)'}{(x - 1)^2}[/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{- \sin (x - 1)(x - 1)'(x - 1) - \cos (x - 1)(x - 1)'}{(x - 1)^2}[/tex]Basic Power Rule [Derivative Properties]: [tex]\displaystyle y' = \frac{- \sin (x - 1)(x - 1) - \cos (x - 1)}{(x - 1)^2}[/tex]Simplify: [tex]\displaystyle y' = \frac{- \cos (x - 1)}{(x - 1)^2} - \frac{\sin (x - 1)}{x - 1}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

A point P is 100m away from a vertical flag pole, which is 13m high. What is the angle of elevation to the top of the flagpole from P?

Answers

check the picture below.

make sure your calculator is in Degree mode, if you need the angle in degrees.

Marcel is planning a vacation. The travel agent says the average high temperature at the resort is 20 degrees Celsius. What is the equivalent Fahrenheit temperature

Answers

Final answer:

The equivalent Fahrenheit temperature for 20 degrees Celsius is 68 degrees Fahrenheit.

Explanation:

To convert Celsius to Fahrenheit, you can use the formula: F = (C × 9/5) + 32

Using this formula, we can calculate the equivalent Fahrenheit temperature for 20 degrees Celsius:

F = (20 × 9/5) + 32 = 68 degrees Fahrenheit

Can the leaves of an ordered rooted tree have the universal address 1.1, 1.2.1, 1.2.2, 1.2.3, 2.1, 2.2.1, 2.3.1, 2.3.2, 2.4.2.1, 2.4.2.2, 3.1, 3.2.1, 3.2.2? if so, identify such an ordered rooted tree.

Answers

A pine is just such a tree.

The following picture illustrates what the rooted tree would look like. By following the branches, you will reach all of the addresses indicated in the question

What is the value of the expression 54.36 divided by 0.1

Answers

54.36 / 0.1 = 543.6 <==

find all sets of three consecutive even integers whose sum is greater than 102 and less than 116

Answers

so three consecutive integers 2k,2(k+1),2(k+2)
there sum will be
2k+2(k+1)+2(k+2)
2k+2k+2+2k+4
6k+6
so setting the inequality
102<6k+6<116
subtracting 6 from all sides
96<6k<110
16<k<18.3333
since k is an integer
the only integers between 16 and 18.3
are 17 and 18
so
when k=17
2(17),2(17+1),2(17+2)
34,36,38
when k=18
2(18),2(18+1),2(18+2)
36,38,40
so to check are soultion we substitute
34+36+38=108 which is between 102 and 116
36+38+40=114 which is between 102 and 116
so our soultion is correct
the final answer will be
{{36,38,40},{38,40,42}}

Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?

Answers

Abe is going to plant 54 oak trees and 27 pine trees
greatest number of trees Abe can have in each row =?
54 = 2 x 27
27 = 1 x 27
Now 27 is the common in both numbers and also is the greatest number
So, there are 2 rows of oak trees and 1 row of pine trees and all the rows have 27 number of trees.

Answer:

27 trees in each row

Step-by-step explanation:

Abe is going to plant 54 oak trees and 27 pine trees

greatest number of trees Abe can have in each row =?

54 = 2 x 27

27 = 1 x 27

Now 27 is the common in both numbers and also is the greatest number

So, there are 2 rows of oak trees and 1 row of pine trees and all the rows have 27 number of trees.

Which function has a vertex at the origin?

f(x) = (x + 4)^2
f(x) = x(x – 4)
f(x) = (x – 4)(x + 4)
f(x) = –x^2

Answers

[tex]\bf \qquad \textit{parabola vertex form}\\\\ \begin{array}{llll} y=a(x-{{ h}})^2+{{ k}}\\\\ x=a(y-{{ k}})^2+{{ h}} \end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\ -------------------------------\\\\ -x^2\implies -(x-\stackrel{h}{0})^2\stackrel{k}{+0}[/tex]

Answer:

fdx = x-4 2

Step-by-step explanation:The test was right

A problem states: "There are 9 more children than parents in a room. There are 25 people in the room in all. How many children are there in the room?"

Let c represent the number of children.

Which expression represents the number of parents?

c−9
9−c
c⋅9
c + 9

Answers

C-9 because once you take away the children number, you will have the remaining adults

Answer: c-9

Step-by-step explanation: i did the quiz

plz help me so confused

Answers

OK so for the first one, you have 3 TVs for 1200 dollars. The 90 dollars is a 1 time cost. so what u want to do is multiply 3 by 1200 and then add 90.

Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he 21) has 20 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?

Answers

Let the short side be W

The half circumference of the semi-circle = .5 * pi *W

2Lengths + width + semicircle = 20 ft

2L + W + (.5*pi*W) = 20

2L + W + 1.57W = 20

Combine like terms

2L + 2.57W = 20

Simplify divide by 2

L + 1.285W = 10

L = (10 - 1.285W); for substitution:

Get the area equation:

Rectangle area + semicircle area

A = L * W + (.5*pi*(.5W) ^2)

A = LW + (1.57*.25W^2)

A = LW + .3925W^2

Replace L with (10-1.285W)

A = W(10-1.285W) + .3925W^2

A = -1.285W^2 + .3925W^2 + 10W

A = -.8925W^2 + 10W

Find W by finding the axis of symmetry of this equation a=-.8925, b=10

W = -10 / 2 * (-.8925)

W = -10 / -1.785

W = 5.60 is the width for max area

then we solve for the length

L = 10 - 1.285(5.60)

L = 10 – 7.20 = 2.8 ft is the length

Then, Check the perimeter

2(2.8) + 5.60 + 1.57(5.60) = 20ft

5.6 + 5.6 + 8.736 = 20ft

Rectangle: 2.8 by 5.60 has semicircle circumference 8.736 has a maximum area: (2.8*5.60) + (.5 * pi * 2.8 ^ 2)

=15.68 + 12.31

=28 sq/ft

Help Dana find the sum 346 421 152
For numbers 13a-13d, select yes or no to tell Dana when to regroup

Answers

To add and get the sum
346
421
+152

We start on the ones place 6 + 1 + 2 = 9, the sum of the digits in the ones place is not up to 10, we will not regroup this ones place.

So, basically the answer to 13a is NO.
Since we are not able to regroup the ones place there is no regrouped tens to add, therefore the answer to 13b is also NO.

Next is the tens place, 4 +2 +5 = 11, the sum of the digits in the ones place is up to 10 so we regroup the tens place.

Thus, the answer to 13c is YES.

Since, we regrouped the ones place, we add the regrouped hundred, thus the answer to 13d is YES.

Finally, for the hundred place, 1 + 3 + 4 + 1 = 9

Therefore, the sum of
346
421
+ 152
is 919

If P is the midpoint of XY,XP=8x-2 and PY=12x-30 find the value X

Answers

check the picture below.

P being the midpoint, will cut XY in two equal halves.

Using the midpoint concept, it is found that x = 7.

----------------------

The midpoint divides a segment into two segments of equal length.P is the midpoint of XY, thus XP = PY.

----------------------

[tex]XP = 8x - 2[/tex]

[tex]PY = 12x - 30[/tex]

Since they are equal, we use it to find x.

[tex]XP = PY[/tex]

[tex]8x - 2 = 12x - 30[/tex]

[tex]4x = 28[/tex]

[tex]x = \frac{28}{4} = 7[/tex]

The value of x is 7.

A similar problem is given at https://brainly.com/question/10956693

negation of all owls fly?

Answers

Looking at this in terms of sets, let's call O the set of all owls, and F the set of all things that can fly. What this original statement is saying every animal that's a member of the set of all owls is also a member of the set of all things that can fly, or in other words, O⊂F (O is a subset of F). Negating this tells us that, while there's at least one element of O that also belongs to F, O is not contained entirely in F (O⊆F, in notation), so a good negation or our original statement might be:

Not all owls can fly.

...wow the other person was fantastic.. I’m not even gonna try competing...

The cartesian coordinates of a point in the xy-plane are (x, y) = (-3.84, -2.87) m. find the polar coordinates of this point.

Answers

We know from the signs of x and y that this point is in QIII. Thus, the angle as measured from the positive x-axis is also in QIII.
First, use the Pyth. Thm. to determine the length of the ray from the origin to this point: (-3.84)^2 + (-2.87)^2 = L^2; L = sqrt (22.98), or approx. 4.79. The angle is 0.64 radian + pi radians, or 3.78 radians (which, as you can verify, is in QIII.

Thus, the point (-3.84, -2.87) becomes (4.79, 3.78 rad) in polar coordinates.
Let me know if you need help with the trigonometry involved here.

A circle with a central that measures 1° has a radius of 10 inches. Find the length of the intercepted .

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[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ \theta =1\\ r=10 \end{cases}\implies s=\cfrac{1\cdot \pi \cdot 10}{180}[/tex]

What is 7 divided by 28

Answers

7 divided by 28 can be expressed as a fraction:

7/28

To simplify this divide the numerator and the denominator by the greatest common factor. In this case, it is 7.

7 ÷ 7/ 28÷ 7
1/4

Hope this helps!

7 divided by 28 is 1/4 or 0.25.

To calculate 7 divided by 28.

What is simplification?

Simplification is defined as solving mathematical problems using arithmetic operators.

7 divided by 28 = 7/28
= 1/4
= 0.25

Thus, 7 divided by 28 is 1/4 or 0.25.

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Consider a point on the trans-australian highway, where two old wombats live. arrivals of cars at this point follow a poisson distribution; the average rate of arrivals is 1 car per 12 seconds.

Answers

Given that the arrivals of cars at the trans-australian highway follow a poisson distribution with the average rate of arrivals as 1 car per 12 seconds.

This is a Poisson distribution with a mean of 1 car every 12 seconds.

Part A:

The probability of a Poisson distribution is given by:

[tex]P(X=x)= \frac{e^{-\lambda}\lambda^x}{x!} [/tex]

Given tha one of the old wombats requires 12 seconds to cross the highway, and he starts out immediately after a car goes by.

The probability he will survive is the probability that no car passes through the point in the next 12 seconds.

[tex]P(x=0)= \frac{e^{-1}(1)^0}{0!} =e^{-1}=0.368[/tex]

Therefore, the probability that he will survive is 0.368

Part B:

Given that at the same point of the highway there is another old wombat, slower but tougher than in the previous exercise. He requires 24 seconds to cross the road, but it takes two cars to kill him. (A single car won’t even slow him down. The arrival rate of cars is still one car per 12 seconds.)

Since the arrival rate of cars is one car per 12 seconds, then, in 24 seconds the arrival rate is 2 cars. (i.e. λ = 2)

The probability that he survives is the probability that 2 cars did not pass through the point.

[tex]P(X\neq2)=1-P(X=2)=1- \frac{e^{-2}(2)^2}{2!} =1-0.135=0.865[/tex]

Suppose you are a small business owner. How would a market demand schedule or a market demand curve be useful?

Answers

Because the market demand curve is the summation of all the individual demand curves in a given market. It shows the quantity demanded of the good by all individuals at varying price points. In other words, it shows the relationship between consumer demand and price.

For each sequence, find a formula for the general term, a_n. for example, answer n ^2 if given the sequence: \lbrace 1, 4, 9, 16, 25, 36, . . . \rbrace

Answers

This is clearly a sequence of the squares of the integers {1, 2, 3, .... }.

The general term is an = n^2.

Marcus rented a movie for $4 and some video games for $6 each. He paid $22. How many games did he rent?Choose two answers: one for the equation that models this situation and one for the correct answer.

A.Equation: 6 + 4x = 22
B.Answer: 3 video games
C.Answer: 4 video games
D.Equation: 4 + 6x = 22

Answers

Your equation should be:

4 + 6x = 22

This is so because he only bought one movie, but he bought "some" video games. The variable x represents some in the problem.

Solve the equation.

4 + 6x = 22

Subtract 4 from both sides of the equation.

6x = 18

Divide both sides by 6.

x = 3

Marcus rented 3 video games.

Solution :

D. 4 + 6x = 22
B. 3 video games

Answer:

4 + 6x = 22 and 3 video games

Step-by-step explanation:

ape-x

Suppose that you invest $5873 in an account that earns interest at an APR of 4.4%, compounded monthly. Determine the accumulated balance after 7 years.

Answers

Given:
P = $5873, the principal
r = 4.4% = 0.044, the interest rate
n = 12, twelve monthly compoundings in a year
t = 7 years

Note that
n*t = 12*7 = 84
r/n = 0.044/12 = 0.003667

The accumulated balance after 7 years is
A = 5873*(1 + 0.003667)⁸⁴ = $7,986.90

Answer: $7,986.90

solve the equation 0.35(x+4)=0.25(x-6)

Answers

Answer:

x=-29

Step-by-step explanation:

First multiply 0.35 by x+4 and 0.25 by x-6 after you do that you will get

0.35x+1.4=0.25x-1.5

now add 1.5 from -1.5 and 1.4 now your equation on will look like this

0.35x+2.9=0.25x

Now subtract 0.35x from both sides of the equation and your equation will look like this

2.9=0.1x

at this point you divide to get your answer, divide 2.9 and 0.1x by -0.1 and you will end up with 2.9 over -0.1 once you divide you will get -29=x

The value of x is -29.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

0.35(x+4)=0.25(x-6)

Now, solving for x

0.35 x + 1.4 = 0.25x - 1.5

0.10x = -2.9

x= -29

Hence, the value of x is -29.

Learn more about Equation here:

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find f(-2) for f(x)=2×3^x
a.-18
b.1/18
c.-36
d.2/9

Answers

f(-2) = 2• 3^-2
f(-2)= 2• 1/ (3^2)
f(-2) = 2/9
Answer is d.

If there is a positive correlation between salary and education, then based on the table shown, which of the following careers requires the most education? a. accountant b. paralegal c. photographer d. surveyor

Answers

it is A. accountant because out of the options you gave me that one gets paid the most

Answer:

Option a. accountant.

Step-by-step explanation:

We have been given the positive correlation graph between salary and education

Positive correlation means a linear relationship between two that means if education increases salary increases.

We need to tell which among the given options requires most education the one which will have highest salary.

That means the Accountant among the given option requires most education.

Because he has highest salary among given four options.

What is the simplified form of the left side of the following equation?

2x-4+5x=8

Select the correct answer below.

A.2x+1
B.3x-4
C.5x-2
D.7x-4

Answers

Combine like terms.
The term 2x and the term 5x are like terms and can be combined into 7x.
The answer is 7x - 4

a picnic start at 12:10 pm .kevin arrives at 1:40 pm the picnic continues until 3 pm.how much time elapsed betwwen the picinic and keven arrivals

Answers

50 minutes
1 hour 20 minute

Final answer:

To determine the time elapsed between the start of the picnic and Kevin's arrival, subtract the start time (12:10 pm) from Kevin's arrival time (1:40 pm), which results in 1 hour and 30 minutes.

Explanation:

To find out the amount of time that elapsed between the start of the picnic and Kevin's arrival, we subtract the start time of the picnic from the time Kevin arrived. The picnic started at 12:10 pm and Kevin arrived at 1:40 pm.

Step-by-step calculation:

Convert the times into a 24-hour format to avoid any confusion.12:10 pm is 12:10 in 24-hour format.
1:40 pm is 13:40 in 24-hour format.Subtract the start time of the picnic from Kevin's arrival time.13:40 - 12:10.Calculate the difference in hours and minutes.Kevin arrived 1 hour and 30 minutes after the picnic started.

An airplane allows each passenger 36 kilograms of luggage. Carl has to lower the weight of his suitcase by 25% to stay within the limit. How much did the suitcase originally weight?

Answers

Let the original suitcase weight be x. This x will be reduced by multiplying it by (1.00-0.25), or 0.75. 0.75x = 36 kg. Solve for x.

Dividing both sides of this last equation by 0.75, we get x = 48.

Carl's suitcase originally weighed 48 lb. 25% of that is 12. x less 12 is 36 lb, which is acceptable to the airline.

Assume that the salaries of elementary school teachers in the united states are normally distributed with a mean of $32,000 and a standard deviation of $3000. if 100 teachers are randomly selected, find the probability that their mean salary is less than $32,500.

Answers

Can you make this question clearer to read

Answer: 0.9525

Step-by-step explanation:

Given : The salaries of elementary school teachers in the united states are normally distributed with a mean of [tex]\mu=\$32,000[/tex] and a standard deviation of [tex]\sigma=\$3000[/tex].

Sample size : n= 100

Let x be a random variable that denotes the salaries of elementary school teachers in the united states.

Formula : [tex]z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

Then, the probability that their mean salary is less than $32,500 will be :-

[tex]P(x<32500)=P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{32500-32000}{\dfrac{3000}{\sqrt{81}}})\\\\=P(z<\dfrac{500}{\dfrac{3000}{10}})\approx P(z<1.67)=0.9525\ \ [\text{Using z-value}][/tex]

Hence, the probability that their mean salary is less than $32,500 = 0.9525

George exercises 15 minutes a day, every day of the year. How many minutes a year does George exercise? Write and solve an equation to find the answer.

Answers

15 minutes 365 days
----------------- * --------------- = 5475 minutes/year
day 1 year

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