Class Scheduling Enormous State University's Math Department offers two courses: Finite Math and Applied Calculus. Each section of Finite Math has 80 students, and each section of Applied Calculus has 70 students. The department will offer a total of 150 sections in a semester, and 11,200 students would like to take a math course. How many sections of each course should the department offer in order to fill all sections and accommodate all of the students

Answers

Answer 1

Answer:

70 section of Finite math and 80 section of Applied calculus

Step-by-step explanation:

As in each section, finite math has 80 student and applied calculus has 70 students

80x + 70Y = 11,200................(i)

There are 150 sections in a semester

x + y = 150..................................(ii)

Multiply equation (ii) by -70

-70x - 70y = 10,500

Add equation (i) and equation (iii)

80x + 70Y = 11,200

-70x - 70y = 10,500

10x            = 700

x = 700/100

x= 70

Substitute x in equation (ii)

x + y = 150

70 + y = 150

y = 150 - 70

y = 80

Hence, 70 section of finite math and 80 section of applied calculus should the department offer in order to fill all sections and accommodate all of the students.


Related Questions

How do you do surface area

Answers

Heres the formula i hope this helps... SA=2lw+2lh+2hw

Answer:

length + width + height

Step-by-step explanation:

For example, for a  3D shape you will have to add all of the sides to get the surface area.

the powers of the variable in the algebraic expression should be

Answers

Answer:

a5 means that ia is variable and 5 is the power of variable a.This also ,eans variable(a)is multiplied fivr times by itself.And algebraic number'x'has 1 as irs power.or we can say that x1=x.This meansthat when a variable has 2 as its power,its poweris ignored and o ly variable in written as such.

WILL GIVE BRAINLIEST
NEED HELP ASAP
PLEASEEEEEEE
WILL GIVE BRAINLIEST

Answers

Answer:

makin sure he gives the next person brainliest

Step-by-step explanation:

Answer:

Would love to help but I need options.

Step-by-step explanation:

And plz give brainliest!!!

help find equivalent equation please

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

3x²+7x-8

Step-by-step explanation:

(7x²+5x-5) - (4x²-2x+3)7x²+5x-5-4x²+2x-33x²+7x-8

If n = 4, all of the following expressions are equivalent except _____.

16
n -2
1/16
1/n^2

Answers

Answer:

16

Step-by-step explanation:

Answer:

The answer is 16.

Step-by-step explanation:

please help Math Question!

Answers

Answer: The answer is D

Answer:

D

Step-by-step explanation:

4 ÷ x+3.

4 + x(a number) + 3

4/x+3

what's the probability of pulling two red cards in a row from a deck of cards?​

Answers

Hey there! I'm happy to help!

Let's say that we don't have jokers. In that case, there are 52 cards, and half of them are red (so 26 are red). The probability of pulling a red card once is 1/2 since half the cards are red.

If we pick one out, there are only 51 total cards left and 25 red cards. So, the probability of picking one again would be 25/51.

We multiply the probabilities of these two events to find the probability of them both happening.

1/2×25/51=25/102

The probability of picking two red cards in a row is 25/102 or around 24.5%.

Have a wonderful day! :D

Write regular expressions for the following languages:a. The set of strings over alphabet {a, b, c} with at least one a and at least one b.b. The set of strings of 0’s and 1’s whose tenth symbol from the right end is 1.c. The set of strings of 0’s and 1’s with at most on pair of consecutive 1’s.

Answers

Answer and Step-by-step explanation:

a. The strings  {a, b, c} with at least one a and at least one b.

Solution: ∑ = {a, b, c}

where

(a +b +c)(a (a +b +c)*b + b (a +b +c) a (a +b +c)*

b. The set of 0’s and 1’s string whose tenth symbol from the right end is 1.

Sol: (0+1)*1(0+1)9

c. The set of  0’s and 1’s string with at most one pair of consecutive 1’s.

sol: (0+10)(11+∑)(0+10)

Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)

Answers

Answer:

y=3 x=1 hope this helps :)

Step-by-step explanation:

PLeaSe HeLp Multiply (1/3)(1/5) -1/10 -1/15 1/15 1/10

Answers

Answer:

1/15

Step-by-step explanation:

multiply the numerator with the numerator and the denominator with the denominator

1×1/3×5

= 1/15

Answer:

−11402 / 342015

Step-by-step explanation:

(1/3)(1/5)- 1/10- 1/151/151/10

1/15 - 1/10 - 1/151/151/10

-1/30 - 1/151/151/10

-1/30 - 1/22801/10

-1/30 - 1/228010

−11402 / 342015

Choose the justification for each step in the solution of the given equation. Drag the labels to the correct locations on the table. Not all labels will be used.

Answers

Answer:

Step-by-step explanation:

Step                    Statements                    Reasons

1.               [tex]-6=-\frac{2}{3}(x+12)+\frac{1}{3}x[/tex]             Given

2.               [tex]-6=-\frac{2}{3}x-8+\frac{1}{3}x[/tex]                 Distributive property

3.               [tex]-6=-\frac{1}{3}x-8[/tex]                          Combine like terms

4.                  [tex]2=-\frac{1}{3}x[/tex]                                Addition property of equality

5.                  -6 = x                                    Multiplication property of equality

6.                   x = -6                                   Symmetric property

Answer:

To get from step 1 to step 2, apply the distributive property to eliminate the parentheses.

To get from step 2 to step 3, combine like terms on the right side of the equation.

To get from step 3 to step 4, apply the addition property of equality to isolate the variable term.

To get from step 4 to step 5, apply the multiplication property of equality to isolate the variable, x.

To get from step 5 to step 6, apply the symmetric property to rewrite the equation with the variable on the left side.

Step-by-step explanation:

Simplify the expression: –3(n − 5)

Answers

Answer:

-35+7u

Step-by-step explanation:

Because of the minus sign 3 becomes -3

The answer is -3

n-5 evaluates to n-5

Multiply -3 by n-5

we multiply -3 by each term in n-5 term by term.

This is the distributive property of multiplication.

Multiply -3 and n

Multiply 1 and n

The n just gets copied along.

Copy the axes below onto your paper. Add an appropriate scale and then place and label a point on the graph for each of the
products listed below.
Hotdogs
a. Dog-Eat-Dog has a supreme hotdog that weighs 80 grams and has 40 grams of fat MOT DOGS
b. Hot Doggies has a diet hotdog that weighs 50 grams and has only 9 grams of fat.
100
Fat (8)
50
c. Dog-alicious has a cheap hotdog that weighs 40 grams and has 30 grams of fat.
0
SO 100
Weight (8)
3

Answers

Here’s the answer to your problem:

Find the error and show the correct solution.
1
5x –9 = -2(x-3)
5x-9 = -2x + 5
7x = 14
x = 2

Answers

15/7

Step-by-step explanation:

The error is in :

[tex] - 2(x - 3)[/tex]

It was expanded as -2x +5 which was wrong

Correct solution

[tex]5x - 9 = - 2(x - 3) \\ 5x - 9 = - 2x + 6 \\ 5x + 2x = 6 + 9 \\ 7x = 15[/tex]

[tex] \frac{7x}{7} = \frac{15}{7} \\ \\ x = 2 \frac{1}{7} [/tex]

A bakery sells loaves of handmade French bread for $6 each and loaves of multigrain
bread for $8 each. The bakery eams, on average, $240 in revenue per day from the
sale of the French and multigrain breads.

Answers

Answer:

well if the breads both sell the same number of loaves for each type the you add 6 and 8 which is 14 divide it by 240 and you get ruffly 17 loaves per day.

Step-by-step explanation:

What is the square root of -1

Answers

Answer:

i

I hope this helps!

Answer:

[tex] { - 1}^{ \frac{1}{2} } .[/tex]

Step-by-step explanation:

[tex] \sqrt{ - 1} \: \: = - 1 ^{ \frac{1}{2} } = {( - 1 \times 1)}^{ \frac{1}{2} } \\ since \: - 1 \times 1 = - 1 \\ the \: ans \: is : \\ { - 1}^{ \frac{1}{2} } .[/tex]

♨Rage♨

PLEASE HELP!

Find BD in the following diagram.


BD=

Answers

28? lol I’m pretty sure.

Answer:

BD = 28

Step-by-step explanation:

BD = BC + CD = 21 + 7 = 28

When multiplying 0.9 X 4 you must turn the 4 into a 4.0 and then line up the decimal points

Answers

3.6 is the answer to the question

Can someone please help and solve

Answers

Answer:

C: x+y=27 and y=6+2x

Step-by-step explanation:

First part: If the sum of the two is 27, then it means that it is x + y = 27, because sum means addition.

Second part: The larger number (y) is 6 more than twice the smaller number (x). Twice a number means that it is that number multiplied by x, so it is 2x. 6 more means we add 6 to it so the second equation is y=6+2x.

Hope this helped!

express sin110 as ratio of acute angle

Answers

Answer:

sin70°

Step-by-step explanation:

Given sin110° where 110° is an obtuse angle in the second quadrant.

The related acute angle in the first quadrant is 180° - 110° = 70°

Thus

sin110° = sin70°

I need the answer Pleaseee

Answers

Answer:

10 %+-5

Step-by-step explanation:

I don't really know

What is 1 + (-4) on a number line

Answers

Answer:

[tex]\boxed{-3}[/tex]

Step-by-step explanation:

Hey there!

1 + (-4)

= -3

Since there is -4 and and only a one 1,

it's like subtracting 4-1 whoch is 3, except this time you are adding -4 and 1,

Which is -3, on a number line.

Hope this helps :)

The speed of sounds in water is 1.46 x 10^3 meters per second. The speed of sound in air is 3.31 x 10^2 meters per second. How much faster does sound travel in water than it air?

Answers

Answer:

Hey there!

1.46x10^3-3.31x10^2

14.6x10^2-3.31x10^2

11.29x10^2

1.129x10^3

J is the correct answer.

Hope this helps :)

The sound travel [tex]1.129 \cdot 10^3 m/s[/tex] faster than the speed of sound in air.

Speed :

The speed   is the distance travelled per unit of time by a sound wave  

Given information

Speed of sound in water is [tex]1.46 \cdot 10^3[/tex]

Speed of sound in air is [tex]3.31 \cdot 10^2[/tex]

To find how much faster does travel , we need to subtract  the speed

To subtract we need to make the exponents same

[tex]1.46 \cdot 10^3\\14.6 \cdot 10^2[/tex]

Now we subtract ,

 [tex]14.6- 3.31= 11.29\\\\11.29 \cdot 10^2\\1.129 \cdot 10^3[/tex]

The sound travel [tex]1.129 \cdot 10^3 m/s[/tex] faster than the speed of sound in air.

Learn more information about ' scientific notation ' here

brainly.com/question/7413247

The area of a square garden is 81 How long is each side of the​ garden?

Answers

20.25?

not sure if that’s right i’m sorry if it’s not

Alex and leanardo went to the movies a drink cost $4.00 each and a bag of popcorn cost $ 5.00 each how many would they spend of they bouth 2 drinks and 2 Bags of popcorn

Answers

If Alex and Leonardo are both buying two bags of popcorn and drinks then the overall price would be $18.00.

$4.00 + $4.00 = $8.00 + $5.00 + $5.00 = $18.00

Therefore, they would spend 18 dollars.

Hope this helps ! <3

Find the area of the given region using any method.

Answers

The best method would certainly be integration :)

The area is given by the integral,

[tex]\displaystyle\int_0^2\frac{\mathrm dx}{9-x^2}[/tex]

We can split up the integrand into partial fractions:

[tex]\dfrac1{9-x^2}=\dfrac16\left(\dfrac1{3-x}+\dfrac1{3+x}\right)[/tex]

Then the area is

[tex]\displaystyle\frac16\int_0^2\left(\frac1{3-x}+\frac1{3+x}\right)\,\mathrm dx[/tex]

[tex]=\dfrac16(-\ln|3-x|+\ln|3+x|)\bigg|_0^2[/tex]

[tex]=\dfrac16\left((\ln5-\ln1)-(\ln3-\ln3)\right)=\boxed{\dfrac{\ln5}6}[/tex]

Which of the following is a source of income?

A. House purchase
B. Investment
C. FICA
D. Timeshare


Apex answer is:
B Investment

Answers

Answer is what is B.Investment is a source of income

I need help thank you

Answers

Answer:

c

Step-by-step explanation:

1/4n - 5 - 4n + 3 = 2

Answers

That’s the answer to the question I hope it helps

After 8 hours of snow, the temperature had changed by a total of -16 degrees. What was the average change in temperature each hour while it was snowing?

Answers

Answer:

-2 degrees

Step-by-step explanation:

Divide -16 by 8:

-16/8

= -2

So, the average change in temperature each hour was -2 degrees.

The average change of weather dropped 2 degrees for every hour is snowed.

Here,

After 8 hours of snow, the temperature had changed by a total of -16 degrees.

We have to find the average change in temperature in each hour.

What is Average?

Average is the middle value of the given sets of values.

Now,

After 8 hours of snow, the temperature had changed by a total of -16 degrees.

Hence, The average change in temperature in each hour = -16 ÷ 8 = -2

Therefore, The weather dropped 2 degrees for every hour is snowed.

Learn more about the average visit:

https://brainly.com/question/20118982

#SPJ2

Other Questions
how do you often your computer? Period A is known as what? post history prehistory history Which number is a factor of 10 but not a multiple of 2 The first 10 amendments to the Constitution protect individual rights. Whatare they called?A. The Bill of RightsB. The ArticlesC. The PreambleD. The Declaration PLEASE HELP ASAP!!!! Sarah took 30 minutes to run 4 miles. At this rate, how many miles can she run in 45 minutes? A number to the 12th power divided by the same number to the 9th power equals 343. What is thenumber?The number is Any two objects that have mass will also have which type of force between them? (5 points) +Brainiest aMagnetic bGravitational cNuclear dChemical What do all prepositional phrases have in common? Question 11 options: A. They all begin with prepositions B. They all begin with adjectives C. They all begin with adverbs D. They all begin with nouns or pronouns PLZ HELP ASAP!!!!!!!!!!!!!! 50 POINTS When trying to understand a poem, the best place to start is with the question, "What did you notice?" Don't worry about what anything means, just focus on the words on the page. You might notice these two lines rhyme" or "I noticed the crow, it seemed important to me." After you read "Dust of Snow," make notes about at least three things you noticed. Then, with an instructor or fellow student, have a quick discussion about the poem. Share what you noticed. Write down what other people noticed. Did you notice the same things? What do you feel about the parts that other people have pointed out? Your response should be at least 150 words in length. ) Match each expression with its description. Write a class named Car that has the following fields: yearModel: The yearModel field is an int that holds the car's year model. make: The make field is a String object that holds the make of the car. speed: The speed field is an int that holds the car's current speed. In addition, the class should have the following methods: Constructor: The constructor should accept the car's year model and make as arguments. These values should be assigned to the object's yearModel and make fields. The constructor should also assign 0 to the speed field. Accessor: The appropriate accessor methods should be implemented to access the values stored in the object's yearModel, make, and speed fields. accelerate: The accelerate method should add 5 to the speed field when it is called. brake: The brake method should subtract 5 from the speed field each time it is called. Demonstrate the class in a program that contains a Car object, and then calls the accelerate method five times. After each call to the accelerate method, get the current speed of the car and print it on a separate line. Then, call the brake method five times, each time printing the current speed of the car on a separate line. Sample Run java Car 5 10 15 20 25 20 15 10 5 0 A triangle has side lengths of 8, 15 and 17 units. What is the area of the triangle, in square units? anciet greek and roman societies made sense of their world through The symbol equation below is used to calculate distance travelled. Rearrange this symbol equation so you could use it to calculate the speed instead. s = v t Diana rolls 2 number cubes numbered 1 through 6 while playing her favorite board game. She will get a second turn if she rolls a sum that is a number less than 5. What are Diana's chances of getting a second turn when she rolls the number cubes? (1 point) 15 degrees of longitude is a difference of 1 hour? True or false What American values should we as a society reassess and change in order to improve equity for all? round 673,432 to the nearest thousand n what way were the firstborn son of a knight and the firstborn son of a serf alike?Both children would grow up to have the same roles as their fathers.Both children had to prove they were worthy of their position in society.O Both children took a vow of loyalty to their lords, just as their fathers did.O Both children could choose their own occupation independent of their parents.