It is found that 5 out of every 8 college students like algebra. If a certain college has 4,000 students, how many of them like algebra?

Answers

Answer 1
5 out of 8 turned into a fraction is 5/8. 5/8 turned into a percentage is 62.5%. 62.5% of 4,000 is 2,500. 2,500 students in the college like algebra.
Hope this helped.
Answer 2
to solve this you put it into a ratio
the number of students that like it will go on top and the total college students will be on bottom
5/8
if a college has a total of 4000 students, that will go on bottom and x will be on top
x/4000
to solve for x you would multiply 5 by 4000, and then divide by 8
this would give you x=2500

Related Questions

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.

There are 46 kids in the After-school Club. Today they're going to the pool at the Community Center. If each minivan can take 6 kids, they'll need 8 minivans for all the kids. Do you agree or disagree? Explain your thinking.

Answers

Yes, for 6 x 8 = 48, and 48 > 46

you have to have enough buses for each person, and none of them are walking, and so you will need 8 minivans

hope this helps

in which number does the 6 have a value that is one tenth the value of the 6 in 34, 761

Answers

Final answer:

The 6 in 600 has a value one tenth the value of the 6 in 34, 761.

Explanation:

The question asks in which number does the 6 have a value that is one tenth the value of the 6 in 34, 761.

To find the answer, we need to compare the place value of the 6 in both numbers. In 34, 761, the 6 is in the thousands place, and its value is 6,000. To have a value that is one tenth of 6,000, the 6 would need to be in the hundreds place in the other number.

So, the number in which the 6 has a value one tenth the value of the 6 in 34, 761 would be 600.

Final answer:

The number 6 in 2,001.06 is one-tenth the value of the 6 in 34,761.

Explanation:

The number 6 in 34,761 has a value that is one-tenth the value of the 6 in the number 2,001.06.

To find this, we can compare the place values of the two 6's. The 6 in 34,761 is in the ones place, while the 6 in 2,001.06 is in the tenths place.

Since the tenths place is one place to the right of the ones place, the value of the 6 in 2,001.06 is one-tenth the value of the 6 in 34,761.

given that 2/3a=16, which of the following illustrates how the multiplicative inverse property can be used to find the value of a?

Answers

multiplying both side by 3/2
2/3a×3/2 = 16×3/2
a= 8×3 = 24

Step-by-step explanation:

We have been given that [tex]\frac{2}{3}a=16[/tex].

Since multiplicative inverse property states that any number multiplied by its reciprocal is equal to one.

[tex]\frac{2}{3}\times \frac{3}{2} =1[/tex]

To solve for a let us divide 16 by [tex]\frac{2}{3}[/tex].

[tex]a=16\div \frac{2}{3}[/tex]

Since dividing a number by fraction is same as multiplying the number by the reciprocal of fraction. So we will multiply 16 by [tex]\frac{3}{2}[/tex].

[tex]a=16\times\frac{3}{2}[/tex]

[tex]a=8\times 3[/tex]

[tex]a=24[/tex]

We can see that to solve for a we have multiplied 16 by [tex]\frac{3}{2}[/tex] and [tex]\frac{3}{2}[/tex] is reciprocal of [tex]\frac{2}{3}[/tex].

Let us verify our answer by substituting a=24 in our given equation.

[tex]\frac{2}{3}\times 24=16[/tex]

[tex]2\times 8=16[/tex]

[tex]16=16[/tex]

Hence, to find the value of a we used multiplicative inverse property.

can anyone help me in pre-cal
tan^2 x = tan x
sin^2 x = sin x

Answers

They will equal each other at the angles when they are equal to 1. This is because 1^2=1. Tan is 1 at pi/4 and 5pi/4. Sin is 1 at pi/2

Evaluate (1/2^-2) + 1/2

Answers

It would be 4.5. Hope this helps!

Samuel order four did from an online music stores. Each dvd cost 9.99$. He has a 20% discount code and sales tax is 6.75%. What is the total cost of the order

Answers

If Samuel ordered 4 DVDs at $9.99 each then you multiply $9.99 x 4= $39.96.  

Then you need to remember the 20% discount $39.96 - 20%= $39.96 x .20= 7.99 (if you need to show your work) Then subtract $7.99 from $39.96=$31.97 

Next you have to factor in the tax. $31.97 + 6.75% = $31.97 + 2.16= $34.13 for Samuel's total order

multiply 4 by 9.99 for cost of the 4 dvd's

9.99 *4 = 39.96

20% discount is: 39.96 *0.20 = 7.99

39.96 - 7.99 = 31.97

now add the sales tax:

31.97 * 1.0675 = 34.13

 total cost is $34.13

Over the course of a day, you checked 250 total mousetraps and determined that 50 of them were perfectly made. Approximately what percentage of the mousetraps you checked was perfectly made?

Answers

20% you divide them and BOOM answer

P(4,13);Q(13,13) find the slope

Answers

The slope is 0 since both y values are the same, meaning the line is just straight.

Find the greatest common factor of 36 and 72

Answers

Answer:

  36

Step-by-step explanation:

36 is a factor of both numbers

_____

If the smaller divides the larger with no remainder, then the smaller number is the greatest common factor.

If there is a remainder, replace the larger number with that and repeat the process.

Does anyone knows the answer

Answers

For what ? Where’s the picture
I had the same problem but got it wrong

For the function f(x) = x + 4, what is the ordered pair for the point on the graph when x = 3p? a. (x, x + 4) b. (x, 3p + 4) c. (3p, x + 4) d. (3p, 3p + 4)

Answers

any point for any function is in the form(x,f(x))
since x=3p then(3p,f(3p)) f(x)=x+4 so f(3p)=3p+4
therefore the point will be D.(3p,3p+4)

After a power failure, the temperature in a freezer increased an average rate of 2.5 Fahrenheit per hour. The total increase was 7.5 Fahrenheit. Right and solve any Quetion to find the number of hours until the power was restored.

Answers

I think the equation you're looking for may be y = -7.5 + 2.5x

hope this helps!

What is the mean of 85,89,95,71,80,85,76

Answers

Greetings!

To find the mean of a set of numbers, you can add up the numbers and divide it by the amount of numbers:

85+89+95+71+80+85+76=581
581/7=83

The mean would be 83.

Hope this helps.
-Benjamin

Find the mean of : 85, 89, 95, 71, 80, 85, 76

Remember!! To find the mean, simply add up all of the numbers together, then divide it by how many numbers you added together :)

So, :

85 + 89 + 95 + 71 + 80 + 85 + 76 = ?

Simplify.

581 :)

Then, divide this by 7.

Why by 7?

Simply because that's how many numbers that you added together! 

581 ÷ 7 = ?

Simplify

83

So, our mean is 83

~Hope I helped!~

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

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.

A school employs 30 teachers.how many will there be if there is a 10% reduction

Answers

whats the question bro?    
Final answer:

If a school has 30 teachers and there is a 10% reduction, there will be 27 teachers remaining.

Explanation:

If a school employs 30 teachers and there is a 10% reduction, we can calculate the number of teachers after the reduction by multiplying the initial number of teachers by (100% - 10%) = 90%. So, there will be 30 * 0.90 = 27 teachers after the reduction.

Learn more about Percentage Reduction here:

https://brainly.com/question/31387045

#SPJ2

The demand equation for soccer tournament T-shirts is xy − 5,000 = y where y is the number of T-shirts the Enormous State University soccer team can sell at a price of $x per shirt. Find dy dx x = 6 . dy/dx x = 6 = T-shirts per dollar Interpret the result. When the price is set at $6, the demand is by T-shirts per $1 increase in price.

Answers

The given equation is:

x y – 5000 = y

Rewrite this to create an explicit equation:

x y – y = 5000

y ( x – 1) = 5000

y = 5000 / (x – 1)

Derive to get dy / dx:

dy = - 5000 dx / (x – 1)^2

dy / dx = - 5000 / (x – 1)^2

 

So plugging in x = 6,

dy / dx = - 5000 / (6 – 1)^2

dy / dx = - 200

Answer:

[tex]\frac{dy}{dx}|_{x=6}= -200[/tex]

Step-by-step explanation:

Given : Demand equation [tex]xy − 5,000 = y[/tex]

To Find [tex]\frac{dy}{dx}|_{x=6}[/tex]

Solution :

[tex]xy- y= 5000[/tex]

[tex]y(x-1)= 5000[/tex]

[tex]y= \frac{5000}{x-1}[/tex]

Differentiating with respect to x

[tex]\frac{dy}{dx}= \frac{-5000}{(x-1)^2}[/tex]

Now substitute x = 6

[tex]\frac{dy}{dx}|_{x=6}= \frac{-5000}{(6-1)^2}[/tex]

[tex]\frac{dy}{dx}|_{x=6}= \frac{-5000}{5^2}[/tex]

[tex]\frac{dy}{dx}|_{x=6}= \frac{-5000}{25}[/tex]

[tex]\frac{dy}{dx}|_{x=6}= -200[/tex]

Hence [tex]\frac{dy}{dx}|_{x=6}= -200[/tex]  =T-shirts per dollar

) find the solution of y"+2y'=64sin(2t)+64cos(2t) with y(0)=9 and y'(0)=9

Answers

the answer is -172
Clearly people

The table shows the heights and weights of a few students in a class.

Height (inches) Weight (pounds)
58 122
59 128
60 126
62 133
63 145
64 136
66 144
68 150
70 152

Complete the following sentences based on your observations.

The data seems to have a correlation coefficient close to .

This indicates that the weight of a student as the height of the student increases.

NextReset

Answers

Final answer:

The data on student heights and weights suggests a strong positive correlation, implying that as a student's height increases, their weight tends to increase as well.

Explanation:

The data provided on student's heights and weights suggests a linear relationship. To complete the sentences based on the data:

The data seems to have a correlation coefficient close to positive one. This indicates that the weight of a student increases as the height of the student increases.

In statistics, when we observe that as one variable increases, the other also increases, we describe this as a positive correlation. A positive correlation coefficient closer to +1 implies a strong positive correlation, meaning that generally taller students in the given data set tend to weigh more.

Final answer:

The correlation coefficient for the given data is approximately 0.86, indicating a positive correlation between height and weight.

Explanation:

The data seems to have a correlation coefficient close to 0.86. This indicates that the weight of a student increases as the height of the student increases.

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.

Learn more about simplification here:
ttps://brainly.com/question/12501526

#SPJ2

162x + 731 = −y − 9x-2 vertex form

Answers

There is a typo in the quadratic term.

I am goint to solve this question assuming that the correct expression is 162x + 731 = - y - 9x^2

Now, you should know that the vertex form is y = a(x - h)^2 + k, where the vertex is (h,k).

So, we just must transform the quadratic function into that form. To do that you must complete squares. I will do it step by step

start: 162 x + 731 = - y - 9x^2

1) Transpose terms:

y = - 9x^2 - 162x + 731

2) extract common factor ot the two terms with x^2 and x.

y = - 9 (x^2 + 18x) + 731

3) complete squares for x^2 + 18x, which is (x + 9)^2 - 81

=>   y = - 9 [ ( x + 9)^2 - 81 ] + 731

4) solve the square brackets

=> y = - 9 (x + 9)^2 - 9*81 + 731

=> y = - 9(x + 9)^2 -729 + 731

=> y = - 9 (x + 9)^2 + 2

Answer: y = - 9 (x + 9)^2 + 2


Final answer:

To write the given equation in vertex form, we need to complete the square for the x terms. The vertex form of a quadratic equation is y = a(x-h)^2 + k, where (h, k) is the vertex of the parabola. After completing the square and rearranging the equation, we find that the equation in vertex form is y = 171(x + 7391/4) - 17113/4.

Explanation:

To write the given equation in vertex form, we need to complete the square for the x terms. The vertex form of a quadratic equation is given by y = a(x-h)^2 + k, where (h, k) is the vertex of the parabola.

Let's rearrange the equation to isolate the x terms on one side and the y term on the other side: 162x + 9x + y = -731 - 2

Combine like terms: 171x + y = -733

Now, we can complete the square for the x terms. Divide the coefficient of x by 2 and square the result. Add this value to both sides of the equation: 171x + y + (171/2)^2 = -733 + (171/2)^2

Simplify: 171x + y + 7391/4 = 17113/4

Finally, we can rewrite the left side as a binomial squared and simplify the right side: 171(x + 7391/4) + y = 17113/4

Therefore, the equation in vertex form is: y = 171(x + 7391/4) - 17113/4

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

If x = -2 and y = 2, then which of the following statements is false?

Answers

The answer is C. The | [] | means the amount from 0. |2| is not less than 1. The other ones are true.

Which property is represented by the number sentence shown below?

6+(4+5) = (6+4)+5

A. Commutative property of multiplication
B. Associative property of addition
C. Commutative property of addition
D. Associative property of multiplication

If you can also explain how you got the I’ll appreciate it.

Answers

Associative property of addition.

This means that no matter where you put the parenthesis, you will get the same solution.

Hope this helps!
It is b Associative property of addition

which simplified fraction is equal to 0.17...?

A. 9/17

B. 8/45

C. 17/9

D. 16/90

Answers

9/17 = .529411...
8/45 = .17777 (the seven repeats)
17/9 = 1.8888 (the eight repeats)
16/90 = .17777 (the seven repeats)

While B and D both equal approximately 1.7. B is the simplified form, So B is the answer

Brainliest would be fantastic :) Have a nice day.
Hi there!

In order to find the simplified fraction that equals to 0.17, we need to take all the options given and start dividing them until we find the one that equals to 0.17

So, let's get started....

A) 9/17 = 0.52  So this NOT the answer
B) 8/45 = 0.17 This is the answer
C) 17/9 = 1.88
D) 16/90 = 8/45 = 0.17
Here is where the trick is. You see that B and D has the same final answer. Well, they ask for the simplified fraction. D or 16/90 was not simplified until we simplified it. But the others were already simplified. So, that's why we eliminated D.

So, the correct answer is option B

Good luck!

20 points!! Solve this system of lineal equations.separate the x- and y- values with a comma
12x=54-6y
-17x=-62-6y

Answers

Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
Collect results:Answer:  {x = 4 {y = 1


Please note the { are supposed to span over both equations but it interfaces doesn't  allow it. Please see attachment for clarification.

There is a value of $a$ such that subtracting $a-4$ from $4a+16$ gives an answer of $-25$. What is that value of $a$?

Answers

A is -15
4a + 16 - a + 4 = -25
3a + 20 = -25
3a = -45
A = -15

Answer:

a = -15

Step-by-step explanation:

Let's rewrite the exercise in math language.

We have to subtract a-4 from 4a+16 to get -25, that is

4a+16 - (a-4) = -25

The minus sign that is just before the parenthesis changes all the signs inside it. Therefore, if we want to delete the parenthesis, we need to change the signs before.

4a + 16 - a + 4 = -25

Now we can associate the terms with an a between them and the terms without it from the left side of the equation.

3a + 20 = -25

Let's subtract 20 on both sides.

3a + 20 - 20 = -25 - 20

3a = -45

Finally, we divide by 3 on both sides

3a/3 = -45/3

a = -15

What is the answer to this question?

Answers

2A on 2A + 3B + 3C = 8 pieces

The probability:

[tex]\dfrac{2}{8}=\dfrac{2:2}{8:2}=\dfrac{1}{4}[/tex]

[tex]\dfrac{1}{4}=\dfrac{1}{4}\cdot100\%=25\%[/tex]

Answer: 25%

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

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