Mathematics College

Find 1/4+13/20
. Write your answer as a fraction in simplest form.

Answers

Answer 1
The LCD here is 20.  Thus, 1/4 = 5/20.  The sum of 5/20 and 13/20 is 18/20, which can be reduced to 9/10.
Answer 2

A fraction is a way to describe a part of a whole. The sum of the two of the given fractions is equal to 9/10.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The given fractions can be added as shown below.

(1/4) + (13/20)

Taking the LCM of the denominator which is equal to 20,

= (1×5 / 4×5) + (13/20)

= (5/20) + (13/20)

= (5 + 13)/20

= 18/20

Divide both the numerator and the denominator by 2,

= 9/10

Hence, the sum of the two of the given fractions is equal to 9/10.

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Related Questions

Which linear inequality is represented by the graph?
a.y >2/3 x – 2
b.y < 2/3x + 2
c.y2/3 > 2/.+ 1
d.y<2/3 x – 1

Answers

The answer is D since is the only one that has the correct y intercept

Which linear function has the same y-intercept as the one that is represented by the graph?

Answers

The answer would be C because the y-intercept is when x is equal to 0
y-intercept when x = 0
on the graph x = 0 , y = 3

function
y = 2x + 3 when x = 0
y = 3

answer
C. y = 2x + 3

5.6 times what equals to -19.04

Answers

5.6 times x = -19.04 
/5.6.                 /5.6

-3.4 = x 

just divide -19.04 by 5.6 and you get -3.4
Final answer:

The given equation can be rearranged as a division problem: -19.04 divided by 5.6. The solution to this is -3.4. Thus, 5.6 times -3.4 equals -19.04.

Explanation:

To answer the question, we must find the unknown variable in your given equation, where you are multiplying a number (5.6) by some unknown figure to get -19.04. This type of math problem is a division problem arranged differently. Instead of saying '5.6 times what equals to -19.04', we can rearrange it to say '-19.04 divided by 5.6 equals what'.

To get the answer, simply divide -19.04 by 5.6, which equals -3.4. So 5.6 times -3.4 equals -19.04.

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Match the pairs of equations that represent concentric circles. Tiles

Answers

I will explain you and pair two of the equations as an example to you. Then, you must pair the others.

1) Two circles are concentric if they have the same center and different radii.

2) The equation of a circle with center xc, yc, and radius r is:

(x - xc)^2 + (y - yc)^2 = r^2.

So, if you have that equation you can inmediately tell the coordinates of the center and the radius of the circle.

3) You can transform the equations given in your picture to the form (x -xc)^2 + (y -yc)^2 = r2 by completing squares.

Example:

Equation: 3x^2 + 3y^2 + 12x - 6y - 21 = 0

rearrange: 3x^2 + 12x + 3y^2 - 6y = 21

extract common factor 3: 3 (x^2 + 4x) + 3(y^2 -2y) = 3*7

=> (x^2 + 4x) + (y^2 - 2y) = 7

complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 7

=> (x + 2)^2 + (y - 1)^2 = 12 => center = (-2,1), r = √12.

equation: 4x^2 + 4y^2 + 16x - 8y - 308 = 0

rearrange: 4x^2 + 16x + 4y^2 - 8y = 308

common factor 4: 4 (x^2 + 4x) + 4(y^2 -8y) = 4*77

=> (x^2 + 4x) + (y^2 - 2y) = 77

complete squares: (x + 2)^2  - 4 + (y - 1)^2 - 1 = 77

=> (x + 2)^2 + (y - 1)^2 = 82 => center = (-2,1), r = √82

Therefore, you conclude that these two circumferences have the same center and differet r, so they are concentric.

Find the equation of the ellipsoid passing through the points (±7,0,0),(0,±1,0)(±7,0,0),(0,±1,0) and (0,0,±4)

Answers

i think its 1 answer one it think

which expression is represented by the model below?

Answers

A I’m pretty sure. Hopefully that helps

Find all the real fourth roots of 256.


4
-8 and 8
8
-4 and 4

Answers

256 = 16^2.  In turn, 16=4^2.

The 4th roots are {4, 4, -4 and -4}.

Check for yourself:  Does 4^4= 256?  does (-4)^4 = 256?

A family pass to amusement park cost $54 using the distributive property write an expression that can be used to find the cost in dollars of 8 family

Answers

8(50+4)

I hope this helped! :))

Find the derivative of the function F(x) = (x4 + 9x2 − 5)4

Answers

The answer is [tex] 16x^{3} [/tex]

The required derivative of the function (x⁴ + 9x² − 5)⁴ is f'(x) = 4 (x⁴ + 9x² − 5)³(4x³ + 18x).

As per the question we have to determine the derivative of the f(x) = (x⁴ + 9x² − 5)⁴.

What is derivative?

A derivative is defined as the rate of change of the function with respect to the respective variables.

Here,
According to the question,
f(x) = (x⁴ + 9x² − 5)⁴
Differentiate both sides with respect to x.
f'(x) = d[(x⁴ + 9x² − 5)⁴] / dx
f'(x) = 4 (x⁴ + 9x² − 5)³ × (4x³ + 9×2x)
f'(x) = 4 (x⁴ + 9x² − 5)³(4x³ + 18x)


Thus, the required derivative of the function (x⁴ + 9x² − 5)⁴ is f'(x) = 4 (x⁴ + 9x² − 5)³(4x³ + 18x).

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write 129.04 in words

Answers

One Hundred Twenty Nine and Four Hundredths
One hundred twenty nine and four hundreds

Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air. Once he landed, Colin spent 20 minutes gathering his luggage, and then he drove 35 minutes to his hotel. What must be true of any expression that represents the total time that Colin spent traveling from his house to the hotel? The numbers can be added in any order. The number 45 must be the first addend, and 35 must be the last addend. The numbers must be added in the order 45, 90, 70, 20, and 35. The numbers must be added in either the order 45, 90, 70, 20, and 35 or the order 35, 20, 70, 90, and 45.

Answers

Answer:

The numbers must be added in the order 45, 90, 70, 20, and 35.

Step-by-step explanation:

Answer:

The numbers must be added in the order 45, 90, 70, 20, and 35

Step-by-step explanation:

:3

Amanda used 3/4 cup of sugar to make 2 dozen cookies. How much sugar is in each cookie? (Dozen=12)

Answers

[tex]\bf \cfrac{\quad \frac{3}{4}\quad }{\stackrel{\textit{two dozen}}{24}}\implies \cfrac{\quad \frac{3}{4}\quad }{\frac{24}{1}}\implies \cfrac{3}{4}\cdot \cfrac{1}{24}\implies \cfrac{3}{96}[/tex]
I believe that the answer is 1/32 cup because two dozen = 2x12=24 each cookie has 1/24 of sugar. then you have to get 3/4 divided by 24 which is 3/96. which that equals to 1/32. Hope this helps


Andreus made $625 mowing yards. He worked for 5 consecutive days and earned the same amount of money each day. How much money did Andreus earn per day

Answers

625 / 5 = 125 per day

Write these decimal fractions in words 0.17

Answers

In this question, you are given a number in decimal fraction form and asked to changed it into word form. In word form, the number is expressed by word that will differ by the digit location. In this case, 0.17 would be:

One tenth and seven hundredth
Seventeen hundredth

ally and barbara, and katherine will share the cost of a vacation rental for a week. aly agrees to pay 30% of the cost. barbara agrees to pay 0.45 of the coat. katherine will pay the remaining balance. if the total rental coast $960, how much will ally, barbara, and katherine each pay towards the week's rent?

Answers

Hi there! The total cost of the vacation is $960. Ally will pay 30% of the vacation rent. 960 * 0.3 is 288. Barbara will pay 45% of the cost. 960 * 0.45 is 432. Katherine will pay the remaining 25%. 960 * 0.25 is 240. Here are the prices that each of the women will pay.

Ally: $288
Barbara: $432
Katherine: $240

The airport garage charges ​$5 to park for the first hour and then ​$3.50 an hour for any additional hours. Ben paid ​$57.50 to park there one day when he flew to another city. How many hours was he parked at the airport?

Answers

Final answer:

Ben was parked at the airport for a total of 16 hours, after calculating the initial cost for the first hour and then dividing the remainder by the hourly rate for additional hours.

Explanation:

The student's question asks how many hours Ben was parked at the airport, given that the parking cost is $5 for the first hour and $3.50 for each additional hour, with a total fee of $57.50.

First, we subtract the initial $5 from the total cost to determine the cost of additional hours:

$57.50 - $5 = $52.50 for additional hours

Next, we divide the remaining cost by the hourly rate for additional hours to find the number of additional hours Ben parked:

$52.50 ÷ $3.50/hour = 15 hours

Finally, we add the first hour to the additional hours to calculate the total hours parked:

15 hours + 1 hour = 16 hours

Thus, Ben was parked at the airport for a total of 16 hours.

dr. lee went to a bank to get a loan for some new furniture for the waiting area at her clinic. she wanted to borrow $5,000 to be paid back over 3 years. last week the interest rate was 4.25%. but this week theinterest rate went up to 4.50%. how much additional interest will Dr. lee pay because she waited the extra week

Answers

5000*(4.50%-4.25%)= 5000*0.25%=12.5 dollars

additional interest is 12.5 dollars.

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Answers

Hii!! friend

i m here to
help u

I hope u know the point -slope form
,here, the equation will be
y+3= -6x -54

Answer with sometimes, always, or never true. Give an example/counterexample.

When a point is reflected across the y-axis, the new point has a negative x-coordinate.

Answers

Sometimes
If the original x coordinate is negative, it will become positive. For example, (-5, 5) would become (5,5), which is a positive x. The sign of the x changes when reflected over the y axis.

Final answer:

The statement that a point reflected across the y-axis results in a point with a negative x-coordinate is sometimes true, depending on the original point's location relative to the y-axis.

Explanation:

When a point is reflected across the y-axis, the result depends on the initial position of the point relative to the y-axis. The statement that the new point has a negative x-coordinate is sometimes true. If a point lies to the right of the y-axis (positive x-coordinate), reflecting it across the y-axis will indeed result in a point with a negative x-coordinate. However, if the original point is to the left of the y-axis (already has a negative x-coordinate), reflecting it across the y-axis will give it a positive x-coordinate.

Example

If the original point is (3, 2), reflecting it across the y-axis results in (-3, 2), which supports the statement.

If the original point is (-4, 5), reflecting it across the y-axis yields (4, 5), which contradicts the statement.

Therefore, the correct answer is sometimes true, demonstrating the importance of considering the position of the original point in relation to the y-axis.

Fred Johnson's total insurance premium is $1,200. His employer pays 60% of the total premium. How much does Fred pay? $480 $720 $2,000 $3,000

Answers

480 is the answer to the question  brainlist?

Answer:  First option is correct.

Step-by-step explanation:

Since we have given that

Amount of Fred Johnson's total insurance premium = $1200

Percentage of total premium his employer pays = 60%

Remaining percentage of total premium he pays is given by

[tex]100\%-60\%=40\%[/tex]

So, amount of insurance premium Fred Johnson pay is given by

[tex]\frac{40}{100}\times 1200\\\\=40\times 12\\\\=\$480[/tex]

Hence, First option is correct.

What is the sales tax on a jacket priced at $350 if the sales tax rate is 7%

Answers

350 x .07 = 24.50

Your sale tax for a jacket would be $24.50.

A rectangular field is to be bounded by a fence on 3 sides and a straight stream on the 4th side. Find the dimensions of the field with maximum area that can be enclosed using 1000 ft of rope. This is in the applied maximum and minimum chapter btw.

Answers

check the picture below.

[tex]\bf \stackrel{area}{A}=length\cdot width\implies A(w)=(1000-2w)w \\\\\\ \boxed{A(w)=1000w-2w^2} \\\\\\ \cfrac{dA}{dw}=1000-4w\implies 0=1000-4w\implies 4w=1000 \\\\\\ w=\cfrac{1000}{4}\implies \boxed{w=\stackrel{width}{250}} \\\\\\\ [1000-2(250)]\implies 1000-500\implies \boxed{l=\stackrel{length}{500}}[/tex]

and if you run a first-derivative test on say x = 249 and x = 251, you'll notice the slope is positive and negative respectively, meaning, is a maximum.
Final answer:

To maximize the area of the rectangular field, express the area in terms of one variable, derive the area function, and set it to zero for solving. The sides of the field yielding the maximum area are obtained using these calculations.

Explanation:

This question involves optimization in calculus, specifically related to finding the maximum area of a rectangle. In such a problem, the first step is to express the area (A) of the rectangle in terms of one variable. Given a fence that is 1000 ft in length, if we name the side perpendicular to the stream as 'x', and the side parallel to it (bounded by the fence) as 'y', the perimeter of the field is 2x + y = 1000.

We can express y in terms of x: y = 1000 - 2x. The area of the rectangle, A = x*y = x*(1000 - 2x).

To find the maximum area, we find the first derivative of A with respect to x, set it to zero and solve for x. The second derivative test will confirm if it's a maximum. Based on the solutions, the maximum area is achieved with the dimensions of the rectangular field being specific values of x and y that you compute.

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What kind of graph is this?

Answers

it looks like a histogram/bar graph

Enter the degree of the polynomial
5x5 + 8x2 + 2x – 3x9 – 8x4 – 4x5

Answers

The degree of a polynomial is the highest degree of any term.
The degree of a term is the sum of the exponents of all the variables of the term,. A plain variable has degree 1.
One term is -3x^9.
That has the largest exponent of any term, so the degree is 9.

Answer:

9

Step-by-step explanation:

I got it right on ape-x

Write the value of 1710 in standard form

Answers

Are y ou sure there's not more to this problem than you have shared?

1710 is already in simplest, standard form.

Sometimes you'll see it written as 1,710, which for some people is easier to read.

During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?

Answers

4 cups every minute means 240 cups every hour:
4 X 60 (minutes per hour)

The lunch last 2 hours so if 240 cups is every hour then 480 cups would be for 2 hours.

Now covert 480 cups to gallons.  It takes 16 cups to make 1 gallon.  We would divide 480/16 = 30 gallons

Your hair is 6 inches long and grows at a rate of 144 millimeters per year. a. Convert 144 millimeters per year to inches per year. Round your answer to the nearest tenth. b. Write an equation that represents the length y (in inches) of your hair after x years. c. How long is your hair after 4 years?

Answers

A) how many centimeters are in a inch = 2.54 so 144/2.54 = 56.7 inches
B) 56.7x + 6 
C) 232.8 inches 

The rate of hair growth in inches is 5.67 inches per year and in 4 years hair will be 28.68 inches long.

As mentioned in the question,
Your hair is 6 inches long and grows at a rate of 144 millimeters per year. a. Convert 144 millimeters per year to inches per year.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
1 inch = 25.4 millimeters,
For, also 1 millimeters = 1 / 25.4 inches,
So,
144 millimeters per year = 144 / 25.4 inches per year
                                    = 5.67 inches per year

Now,
Growth after 4 years,
= 4 × 5.67 + 6
= 28.68

Thus, the rate of hair growth in inches is 5.67 inches per year and in 4 years hair will be 28.68 inches long.

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Which of the following is the best example of a characteristic of an experiment?

a.Participants should be selected into the treatment group randomly.
b.Participants are rarely aware that they are part of an experiment.
c.Participants are observed without researchers making changes to their behaviors.
d.The results of an experiment are based on a questionnaire given to a random sample of the population.

Answers

The correct answer is C 
The correct option is A.
One of the basic feature of an experiment is the selection of participants by means of random method. It is very important to select participants randomly in order to avoid experimental bias that may occur as a result of the participants not been an exact representation of the concerned population.

Most evenings after dinner Duarte spends 30 minutes playing chess with his dad. Write an equation for the number of minutes, m, that Duarte spent playing chess with his dad if they played chess together e evenings.

Answers

number of minutes playing chess: m

number of evening playing chess: e

number of minutes = 30 minutes / play * number of evening playing chess

=> m = 30e

Answer: m = 30e

What is 600000-347201

Answers

600,000-347201=252,799
The answer is 259,799
Other Questions
Need help please. Just need my answers checked. Thanks in advance. My answers are in brackets.1. The coordinates of the vertices of JKL are J(-5, -1) , K(0, 1) , and L(2, -5). Which statement correctly describes whether JKL is a right triangle?a. JKL is a right triangle because JK is perpendicular to JL.b. JKL is a right triangle because JL is perpendicular to KL.c. JKL is a right triangle because JK is perpendicular to KL.[ d. JKL is not a right triangle because no two of its sides are perpendicular. ]2. The coordinates of the vertices of JKL are J(0, 2) , K(3, 1) , and L(1, -5). Drag and drop the choices into each box to correctly complete the sentences.The slope of JK is [ -/ ], the slope of KL is [ 3 ], and the slope of JL is [ -7 ]. JKL [ is ] a right triangle because [ two of these slopes have a product of -1 ].answer choices: -3 ; 3 ; -7 ; -/ ; / ; is ; is not ; two of these slopes have a product of -1 ; no two of these slopes have a product of -13. The coordinates of the vertices of quadrilateral DEFG are D(-2, 5) , E(2, 4) , F(0, 0) , and G(-4, 1). Which statement correctly describes whether quadrilateral DEFG is a rhombus?a. Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.[ b. Quadrilateral DEFG is not a rhombus because there is only one pair of opposite sides that are parallel. ]c. Quadrilateral DEFG is not a rhombus because opposites sides are parallel but the four sides do not all have the same length.d. Quadrilateral DEFG is not a rhombus because there are no pairs of parallel sides.The slopes of the sides are:DE = -/EF = 2FG = -/GD = 2I'm debating between A and B.4. The coordinates of the vertices of quadrilateral ABCD are A(-4, -1) , B(-1, 2) , C(5, 1) , and D(1, -3). Drag and drop the choices into each box to correctly complete the sentences.The slope of AB is [ 1 ], the slope of BC is [ -/ ], the slope of CD is [ 1 ], and the slope of AD is [ -/ ]. 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