Mathematics College

Translate the phrase into a math expression. 
 
the quotient of twenty divided by four more than one



 
A.
(20 ÷ 4) + 1


 
B.
1 + (4 ÷ 20)


 
C.
(1 + 4) ÷ 20


 
D.
20 ÷ (1 + 4)

Answers

Answer 1
its d 20 / (1+4)...........................................................................



Related Questions

Y=(2x-3)^5(2-x^4)^3 differentiate the function please

Answers

[tex]\bf y=(2x-3)^5(2-x^4)^3\\\\ -------------------------------\\\\ \cfrac{dy}{dx}=\stackrel{\textit{product rule}}{[5(2x-3)^4\cdot 2(2-x^4)3]~~+~~[(2x-3)^5[3(2-x^4)^2(-4x^3)]]} \\\\\\ \cfrac{dy}{dx}=10(2x-3)^4(2-x^4)^3~~-~~12x^3(2x-3)^5(2-x^4)^2 \\\\\\ \cfrac{dy}{dx}=\stackrel{\textit{common factor}}{2(2x-3)^4(2-x^4)^2}~[5(2-x^4)-6x^3(2x-3)] \\\\\\ \cfrac{dy}{dx}=2(2x-3)^4(2-x^4)^2~[10-5x^4-12x^4+18x^3] \\\\\\ \cfrac{dy}{dx}=2(2x-3)^4(2-x^4)^2(10-17x^4+18x^3)[/tex]

Norma and Rene are serving cupcakes at a school party. If they arrange the cupcakes in groups of 2.3.4.5. or 6 they have exactly one cupcake left over. what is the smallest number of cupcakes they could have?

Answers

We are given that there are 5 groups which are:

group of 2

group of 3

group of 4

group of 5

group of 6

and 1 left over

 

So the smallest number of cupcakes would simply be the sum of all:

smallest number of cupcakes = 2 + 3 + 4 + 5 + 6 + 1

smallest number of cupcakes = 21

Write an equation in point-slope form of the line through point p(9, -1) with slope -5.

Answers

Sent a picture of the solution to the problem (s).

Beverly made a deposit of $375 into her checking account. Then she withdrew $ 65. The next day, she wrote a check for $ 135. She had $475 before any of these transactions. How much money is in her account now?

Answers

start with 475
add 375(since made deposit)
475+375=850
850-65=785
785+135=$920

What is 2/3 times 3/4

Answers

2/3(3/4) = 6/12, which simplifies to 1/2

1/2 is your answer

hope this helps
Since you are multiplying, not dividing, the fractions wouldn't need a common denominator... They would stay the same. 
[tex] \frac{2}{3} [/tex] × [tex] \frac{3}{4} [/tex]

First, you would cross simplify the equation... But, you don't have to do it now, you can do it at the end (I think this was is easiest).
[tex] \frac{1}{1} [/tex] × [tex] \frac{1}{2} [/tex]

Finally, you would answer the equation. 
[tex] \frac{1}{1} [/tex] × [tex] \frac{1}{2} [/tex] = [tex] \frac{1}{2} [/tex]

Your answer would be [tex] \frac{1}{2} [/tex].

I hope this helps!

Write a rule for the linear function in the table.
x;     f(x)
2      8
 5     17
 5      11
 11    23


A; f(x) = x + 5
B;f(x) = x + 1
C;f(x) = 2x + 1
D;f(x) = –2x – 1

Answers

the correct answer is A. [tex]\( f(x) = 2x + 1 \).[/tex]

To find the rule for the linear function represented in the table, we can use the formula for a linear function, which is:

[tex]\[ f(x) = mx + b \][/tex]

Where:

- m is the slope of the line

- b is the y-intercept

Given the table:

[tex]\[ \x & : 2, 5, 8, 11 \\f(x) & : 5, 11, 17, 23\end{align}\][/tex]

We can start by finding the slope (m) using the formula:

[tex]\[ m = \frac{{f(x_2) - f(x_1)}}{{x_2 - x_1}} \][/tex]

Let's choose two points from the table, for example, (2, 5) and (5, 11):

[tex]\[ m = \frac{{11 - 5}}{{5 - 2}} \]\[ m = \frac{{6}}{{3}} \]\[ m = 2 \][/tex]

So, we have found that the slope m is 2.

Now, we can use the slope-intercept form of a line to find the y-intercept (b). We can pick any point from the table to do this. Let's use the point (2, 5):

f(x) = mx + b

5 = 2(2) + b

5 = 4 + b

b = 5 - 4

b = 1

So, we have found that the y-intercept b is 1.

Now, we can write the rule for the linear function:

[tex]\[ f(x) = 2x + 1 \][/tex]

Therefore, the correct answer is A. [tex]\( f(x) = 2x + 1 \).[/tex]

The complete question is:

Write a rule for the linear function in the table.

x = 2,5,8,11

f(x) = 5,11,17,23

A. f(x) = 2x + 1

B. f(x) = x + 5

C. f(x) = –2x – 1

D. f(x) = 1/2x+1

how many hours would someone who earns 9.75 per hour have to work to earn 351

Answers

36 hours. This is simple division my dude. 351/9.75 gives you 36. Then to check your answer you would multiply 9.75 by 36 to get 351.
9.75(x) = 351
351/9.75 = 36
x = 36

Thus, 36 hours must be worked in order to get $351 if you have a salary of $9.75

Determine the number of significant digits in each number and write out the specific significant digits. 405000

Answers

The given number, "405000", has THREE (3) 'significant digits' [also known as: 'significant figures' .].  
___________________________________________________________
The THREE (3) significant digits are: "4", "0", and "5" —(the first three digits).
___________________________________________________________

483 is what part of 121?

Answers

Since 483 is larger than 121, the correct answer is a whole number with a fraction:

483/121 = 3.991, or about 4.  "483 is approx. four times 121."

Answer:

yes, since 483 is greater than 121, the correct answer is a whole number with a fraction:

483/121 = 3.991, or about 4.  "483 is approx. four times 121."

To paint a sunset, you make a shade of orange paint using 55 drops of red paint for every 88 drops of yellow paint. If you use 1515 drops of red paint, how many drops of yellow paint would you need?]

Answers

divide 1515 by 55 then multiply by 88 and you get 2424

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?

Answers

the accumulated value,y

Y=360*(1+0.03)^x

Answer:

D

Step-by-step explanation:

Two pools are being filled with water. To start, the first pool contains 890 liters of water and the second pool is empty. Water is being added to the first pool at a rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 42.75 liters per minute.

Answers

Let x=amount of time it takes both pipes draining together to empty the pool 
First pipe empties at the rate of 540,000/150=3600 liters/min
Second pipe empties at the rate of 540,000/225=2400 liters/min 
Together, both pipes empties at the rate of 3600+2400=6000 liters/min, so our equation to solve is: 
6000*x=540000 

what is a fixed charge for borrowing money; usually a percentage of the amount borrowed?

Answers

if you borrow some money from the bank, and they bank says, sure, BUT it'll be for 1 year and with a 11.75% interest.

that simply means, you have to return it in a year, and it has to be that amount PLUS 11.75% of whatever that amount was.  the extra amount is the interest.

The submarine is traveling at a depth of 152 feet below sea level. The submarine was given instructions to rise 63 feet and then drop 84 feet. Write an expression that describes this situation

Answers

The expression should be -152+63-84

Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2 ?

Answers

[tex]tan(4x- \pi )= \frac{sin(4x- \pi )}{cos(4x- \pi )} [/tex]

The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0

cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2

4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8

4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2

4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8

Asymptotes are π/8 and 3π/8




Answer:

D 3pi/8 , 5pi/8

Step-by-step explanation:

The science club raised money to clean the beach. They spent $29 on trash bags and $74 on waterproof boots. They still have $47 left. How much did they raise?

Answers

29 + 74 is 103. 103 + 47 is 150. they raised $150

Answer:

They raised $150

Step-by-step explanation:

In order to solve this you just need to reverse the actions that they took in order to get to 47 dollars left, so the total amount they raised will be represented by letter X, so 47 is what is left after spending 29 on trash bags and 74 on waterproof boots, that means that from the total we are withdrawing those amounts and the result will be 47:

Total-Money spent=47

X-29 - 74= 47

x=47+74+29

x=150

So now we know that they originally had 150 dollars and that would be what they raised.

What is the equation with the difference of 54.57

Answers

100.00-45.43 is equal to 54.57 (as one example).

100.00-45.43 is NOT an equation, however.  Please ensure that you have copied down the original problem exactly as presented.

A scientist has four petri dishes of different sizes. Each dish contains a different number of bacteria. Find each population density, to the nearest hundredth. Which statement is true? Dish A has the lowest population density. Dish C has the greatest population density. Dish A and Dish B have approximately the same population density. Dish C and Dish D have approximately the same population density.

Answers

d. Dish C and Dish D have approximately the same population density. 

The statement that is True is Option D which says:

"Dish C and Dish D have approximately the same population density."

What is Population Density?

The population density of an area is the Number of Entities in that space/Total Area occupied by the population.

It can also be written as Dp = N/A.

Because the Dp of Dish C and Dish D is approximately 0.68, we can say that they have approximately the same Dp.

Learn more about Population Density at:
https://brainly.com/question/13902749

If an amount of money, called principle, p, is deposited into an account that earns interest at a rate r, compound annually, then in two years that investment will grow to an amount A, given by the formula A=P(1+r)^2. If a principle amount of $5000 grows to $5940.50 in two years, what is the interest rate?

Answers

All u gotta do is plug numbers substituted by the variable into the equation.
A = P(1+r)^t
A = $5940.50 
P = $5000
r = ?
t = 2yrs
$5940.50 = $5000(1+r)^t
--------------    --------------------
  $5000            $5000
1.1881 = (1+r)^2
sqrt(1.1881) = 1+r
1.09 = 1+r
     -1     -1
-------   ----
0.09 = r
r = 0.09

Final answer:

By using the compound interest formula A=P(1+r)² and the given values, we find the interest rate to be approximately 0.09, or 9% annually.

Explanation:

To find the interest rate r that grew the principal P from $5000 to $5940.50 over two years with compound interest, we use the formula A=P(1+r)². Here, A is the amount of money accumulated after n years, including interest. We are given that A is $5940.50 and P is $5000.

Let's plug in the values and solve for r:

5940.50 = 5000(1+r)²
1.1881 = (1+r)²

To find r, we take the square root of 1.1881:

Subtracting 1 from both sides to isolate r, we get:

r = 1.09 - 1
r = 0.09

The approximate interest rate is 0.09, which means the annual interest rate is 9%.

long division 573÷15=

Answers

573/15
15 goes int 57 3 times: 45
57-45=12, bring down the 3
15 goes into 123 8 times
123-120=3
573/15= 38 with a remainder of 3
38R3 is the answer

Let a = {2, 9}, b = {9, 13, 28}, d = {40} and s = sample space = a ∪ b ∪
d. identify bc ∪
a.

Answers

Final answer:

The union of sets a, b, and d (a ∪ b ∪ d) gives you the set {2, 9, 13, 28, 40}. Set 'a' is simply the set containing elements 2 and 9.

Explanation:

To resolve the question, we need to analyze what each symbol means. The ∪ symbol in set theory represents union, meaning everything that is in either of the sets or in both. However, it seems there is a typographical error in your question with 'bc'. As 'c' is not defined, we will proceed by ignoring that particular part and focus on 'a' which is defined.

So, if we're looking to identify a = {2,9}, it simply means the set that contains two elements: 2 and 9.

As your question stands, based on the provided sets, s = a ∪ b ∪ d = {2, 9, 9, 13, 28, 40} but when we simplify the set (since a set does not contain duplicate values), we get s = {2, 9, 13, 28, 40}.

Learn more about Set Theory here:

https://brainly.com/question/35494444

#SPJ2

I Need to identify the property that justifies each step to simplify the expression

Answers

What is the expression ? And there are four properties
1) equality of addition , subtraction , multiplication, and division

Find an equation of the tangent line to the bullet-nose curve y=|x|/sqrt(2−x^2) at the point (1,1) I think that square root is what is confusing me on this question

Answers

[tex]\bf y=\cfrac{|x|}{\sqrt{2-x^2}}\qquad \boxed{|x|=\pm\sqrt{x^2}}\qquad y=\cfrac{\sqrt{x^2}}{\sqrt{2-x^2}}\\\\ -------------------------------\\\\ \cfrac{dy}{dx}=\stackrel{quotient~rule}{\cfrac{\frac{1}{2}(x^2)^{-\frac{1}{2}}\cdot 2x\cdot \sqrt{2-x^2}~~-~~\sqrt{x^2}\cdot \frac{1}{2}(2-x^2)^{-\frac{1}{2}}\cdot -2x}{(\sqrt{2-x^2})^2}}[/tex]

[tex]\bf \cfrac{dy}{dx}=\cfrac{\frac{x\sqrt{2-x^2}}{\sqrt{x^2}}~~+~~\frac{x\sqrt{x^2}}{\sqrt{2-x^2}}}{2-x^2}\implies \cfrac{dy}{dx}=\cfrac{\frac{x(2-x^2)~~+~~x(x^2)}{\sqrt{x^2}\sqrt{2-x^2}}}{2-x^2}\\\\\\ \cfrac{dy}{dx}=\cfrac{\frac{2x\underline{-x^3+x^3}}{\sqrt{x^2}\sqrt{2-x^2}}}{2-x^2}\implies \cfrac{dy}{dx}=\cfrac{\frac{2x}{\sqrt{x^2}\sqrt{2-x^2}}}{2-x^2}[/tex]

[tex]\bf \cfrac{dy}{dx}=\cfrac{2x}{\sqrt{x^2}\sqrt{2-x^2}(2-x^2)} \implies \boxed{\cfrac{dy}{dx}=\cfrac{2x}{|x|\sqrt{2-x^2}(2-x^2)}} \\\\\\ \left. \cfrac{dy}{dx} \right|_{1,1}\implies \cfrac{2(1)}{|1|\cdot \sqrt{2-1^2}(2-1^2)}\implies 2\\\\ -------------------------------\\\\ \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-1=2(x-1)\implies y-1=2x-2 \\\\\\ y=2x-1[/tex]

evaluate the expression h-6 when h=15

Answers

Hello there!

h - 6
When h = 15

All we have to do is replace h by 15

h - 6
15 - 6
= 9

Good luck!
evaluate h - 6 when h = 15

First write the expression:
h - 6
Plug in 15 into h in the expression (since h = 15)
15 - 6
Solve
15 - 6 = 9

your answer is 9 

hope this helps

In , is a right angle. find the remaining sides and angles. round your answers to the nearest tenth . show your work. a = 3, c = 1 9

Answers

the answer is either 18.76 or 18.77

find the missing values in the ratio table .then write the equivalent ratios .

Answers

The ratio is 3/4
9 shoes to 12 socks
18 shoes to 24 socks

The missing values are 12 and 18.

The ratios are  [tex]\dfrac{9}{12}[/tex] and  [tex]\dfrac{18}{24}[/tex].

The given table is:

[tex]\begin{center}\begin{tabular}{ c c c c } shoes & 36 & 9 & y \\ socks & 48 & x & 24 \\\end{tabular}\end{center}[/tex]

Since all the columns are pertaining same ratio; thus we have:

[tex]\dfrac{36}{24} = \dfrac{9}{x} = \dfrac{y}{24}\\\\\dfrac{3}{4} = \dfrac{9}{x} = \dfrac{y}{24}\\\\\\or\\\\\dfrac{3}{4} = \dfrac{9}{x}\\\\x = 12\\\\and \\\\\dfrac{3}{4} = \dfrac{y}{24}\\\\y = 18[/tex]

Thus, the missing values x and y are 12 and 18 respectively.

And the are  ratios  [tex]\dfrac{9}{12}[/tex] and  [tex]\dfrac{18}{24}[/tex].

Learn more here:

https://brainly.com/question/1504221

What are the coordinates of the vertices of the triangle under the translation (x, y) mc011-2.jpg (x + 1, y - 4)?

(0, -3), (0, 0), (3, -3)

(-3, 0), (3, -3), (0, -3)

(0, -3), (-3, -3), (-3, 0)

(-3, 0), (0, 0), (-3, -3)


Answers

Original
(-1,1) (-4,1) (-4, 4) 

 translation (x, y) to (x + 1, y - 4)
(0,-3) (-3,-3) (-3, 0) 

answer
(0, -3), (-3, -3), (-3, 0)

it is c :


(0,-3), (-3,-3), (-3,0)


just take the X and Y of the coordinates of the original triangle and substitute it in the given equation (x + 1, y - 4)


try it out yourself it works :)

The problem is

2n>14
n=?

Answers

If 2n>14, then
n>14/2
n>7
    2n >14
=n>7

so, n can be any number which is greater than 7.

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

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.
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

This graph models the number of teachers assigned to a school, as determined by the number of students. What is the constant of proportionality?

1/25
1/20
1/15
1/10

Answers

(60,4)(120,8)
slope = (8 - 4) / (120 - 60) = 4/60 = 1/15 <== the constant of proportionality is the slope

Answer:

The correct option is 3.

Step-by-step explanation:

Form the given figure it is noticed that the line is passing through the points (60,4) and (120,8).

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

Where, k is the constant of proportionality or slope.

The slope of a line is defined as

[tex]k=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]k=\frac{8-4}{120-60}[/tex]

[tex]k=\frac{4}{60}[/tex]

[tex]k=\frac{1}{15}[/tex]

Therefore option 3 is correct.

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