What is the sum of ¾ + ⅔ in simplist form

Answers

Answer 1

Answer:

The answer is 17/12

Step-by-step explanation:

3/4 + 2/3

= 9/12 + 8/12

= 9 + 8/12

= 17/12

Answer 2

We must find the common denominator.

The list of multiples of 4: 0, 4, 8, 12, 16, 20, ...

The list of multiples of 3: 0, 3, 6, 9, 12, 15, 18, ...

The common denominator is 12.

[tex]\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}[/tex]

Therefore:

[tex]\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}=\dfrac{9+8}{12}=\dfrac{17}{12}=\dfrac{12+5}{12}=1\dfrac{5}{12}[/tex]

Answer: 17/12 = 1 5/12

Related Questions

which of the following is the equation of a line that passes through the point (1,2) and is parallel to the x-axis?
A. x=2
B. y=2
C. y=1
D. x=1

Answers

Answer:

The equation of line would be y = 2

Step-by-step explanation:

Since the x-axis is horizontal, we would look for another horizontal line to be parallel. All horizontal lines can be written as y = (a number). We can find that number as the y-coordinate in the ordered pair (2)

y = 2

If a customer wants pie for dessert, you cut whole pies into 7 equal slices. At the end of your shift, 3/7 of a cherry pie, 2/7 of an apple pie, 3/7 of a peach pie, and 5/7 of a blueberry pie remain. How much pie remains, as a fraction of a whole pie

Answers

Answer:

13/7

Step-by-step explanation:

Simply add the slices!

3+2+3+5=13 Slices

Now, we know that a full pie is 7 slices, and the answer they want is a fraction of a whole pie. Simply put the slices we have over how many are in a whole pie.

Answer: 13/7

This means we have almost 2 pies worth of random leftover slices :)

2.25 ÷ 2.5 (Long division Work)

Answers

Answer:

Its 0.9

Step-by-step explanation:

this is a good enpugh answer

Find the slope of the line containing the pair of points (9,2) and (-7,-9)

Answers

Answer:

-11/-16

Step-by-step explanation:

M= Y2 - Y1/ X2 - X1 = -9-(2)/ -7-(9) = -11/ -16

The slope of the line is 11/16.

How to find the slope of a straight line fro given coordinate points -

The slope of any given formula can be found as

Slope = (y2 - y1)/(x2 - x1)

Where, y2 and y1 are the y-coordinates of the given two points

and, x2 and x1 are the x-coordinates of the given two points.

By the problem, y2 = -9 , y1 = 2 , x2 = -7 and x1 = 9

Using the above identity,

Slope = (-9 - 2) / (-7 - 9)

∴ Slope = -11 / -16 = 11/16 = 0.6875

Thus the slope of the line containing given points is 11/16

To learn more about slope of straight line, refer -

https://brainly.com/question/3493733

#SPJ2

y=4x-17 into standard form

Answers

Y-4X=-17 or -4x + y =-17

to convert it into standard from you first need to get X on the left, you can do that by subtracting x from both sides,

Answer:

-4x + y = -17

Step-by-step explanation:

The standard form of a linear equation is

ax + by = c

Your equation is

        y = 4x – 17     Subtract 4x from each side

-4x + y = -17

Write a few sentences explaining how to determine whether a relation shown in a table or a graph is a function.

Answers

Answer:

y=f(x)

y=5x

y=3x

are examples of function

Step-by-step explanation:

definition of a function

if there is one to one relation between a relation

then  it is defined as a function

for example

y=5x is a function

because when we put some value of x it gives back only one value of y as output.

y=±5x is  not a function because one value of x gives two values(positive and negative) values of y hence not a function.

On an airplane, there are two window seats, 2 aisle seats, and 1 middle seats per row (each row sits 3 people on one side of the aisle and 2 people on the opposite side). 2 friends have requested to be seated in the same row. What is the probability that both friends will be assigned to aisle seats?

Can anyone tell me, how many total seat is it talking about in this problem?

Answers

The total number of seats in a row = 5

Lets suppose you are standing in front of the row, so you have 3 seats on one side of you then the passage of the plane and 2 seats on the other side. Out of 3 seats, 1 is window, 1 is middle and 1 is aisle. Similarly, out of the 2 seats on the other side, 1 is the window and 1 is aisle seat, Hence, a total of 5 seats.

As 2 friends have requested to be seated in the same row. So probability of them getting aisle seats becomes 2/5 for 1st friend (as there are 2 aisle seats out of 5 seats) and 1/4 (1 seat is already allocated to the friend so only 1 aisle seat is left out of 4 seats) for the second one.

So, joint probability becomes = [tex]\frac{2}{5}*\frac{1}{4}= \frac{1}{10}[/tex]

or probability becomes 0.1

What are the actual dimensions of a television that has a 15:9 aspect ratio and a screen that is 42 inches?

Answers

Answer:

Let x be the number.

It is given that a 15 : 9 aspect ratio and a screen that is 42 inches.

Aspect ratio states that  the ratio of the display image’s width to its height.

Then;

Width of the television of(w) = 15x

and

height of the television(h) = 9x.

Since, television is in the form of Rectangle.

and it is also, given that the screen is 42 inches .

⇒Diagonal of the television(D) = 42 inches

Using formula of diagonal of the rectangle :

[tex]D^2 =w^2+h^2[/tex]

Substitute the given values to solve for x;

[tex]42^2 = (15x)^2+(9x)^2[/tex]

[tex]1764 = 225x^2 + 81x^2 = 306x^2[/tex]

or

[tex]x^2 = \frac{1764}{306} = 5.76[/tex]

[tex]x = \sqrt{5.76} = 2.4[/tex]

Then:

width of the television (15x) = 15(2.4) = 36 inches and

Height of the television (9x) = 9(2.4) = 21.6 inches.

Therefore, the actual dimensions of the television are;

width = 36 inches and height = 21.6 inches.


3.25+0.5x+1 (1)/(3) + (5)/(6) x=5 (11)/(12)
solve for x

Answers

Answer,

X = 3/4

Explanation,

Step 1: Simplify both sides of the equation.

3.25 + 0.5x + (1)(1)/3 + 5/6x = (5)(11)/12

3.25 + 0.5x + 1/3 + 5/6x = 55/12

(0.5x + 5/6x) + (3.25 + 1/3) = 55/12 (Combine Like Terms)

4/3x + 3.583333 = 55/12

4/3x + 3.583333 = 55/12

Step 2: Subtract 3.583333 from both sides.

4/3x + 3.583333 − 3.583333 = 55/12 − 3.583333

4/3x = 1

Step 3: Multiply both sides by 3/4.

(3/4) * (4/3x) = (3/4) * (1)

x = 3/4



The answer is 3/4 I believe

Answer this please, thanks

Answers

Answer:

B

Step-by-step explanation:

under a dilatation about the origin of scale factor 3

since dilatation is about the origin multiply the coordinates of A, B and C by 3

A(8, 15) → A' (24, 45)

B(12, 13) → B'(36, 39)

C(8, 10) → C'(24, 30)

using the distance formula

with (x₁, y₁ ) = C'(24, 30) and (x₂, y₂ ) = B'(36, 39)

BC = [tex]\sqrt{(36-24)^2+(39-30)^2}[/tex]

     = [tex]\sqrt{144+81}[/tex] = [tex]\sqrt{225}[/tex] = 15 → B



in May the price of a gallon of gasoline was $4.00 in June the price went up to$4.20 What is the percent of increase in the cost of gasoline

Answers

Answer:

5%

Step-by-step explanation:

(4.2- 4.0)/4.0 * 100 = 5%

Answer:

The percent of increase in the cost of gasoline, from May to June, is 5%.

Step-by-step explanation:

We were given the following:

In May the price of gasoline was $4.00 and in June the price went up to $4.20.

We can determine the percent increase as follows:

percentage increase in gasoline(%) = ((final price-original price)/final price)*100

let y be the final percentage increase of gasoline.

[tex]y=((4.2-4)/4.2)*100=5[/tex]

So the increase of gasoline as 5%

We can check this by multiplying the original prices by 5% and adding the original price.

[tex]4*0.05+4=4.2[/tex]

Which of these tables represents a function

Answers

Table D if you graph them and do the line test ( where you take a vertical line and see if it touches two points on a graph) you will see that everything else EXCPET D will be touched by the vertical line.

If the following statements, which one or ones describe actions helpful to your credit score?

I. Quickly paying off debts
II. Having recent debts
III. Having long-standing lines of credit
a.
I only
b.
II and III
c.
I and III
d.
III only

Answers

Answer:

option c

Step-by-step explanation:

Below are the 3 major determining factors to determine a good credit score:-

1) Payment history - The payment history comprises of 35 percent of the total credit score and is the most important factor in calculating credit scores. An easiest way for borrowers to improve their credit score is by making quick timely payments.

2) Credit utilization - It is the percentage of available credit which has been borrowed. It makes up 30 percent of the total credit scores.

3) Long-standing lines of credit - the amount of time each account has been open.It makes up 15 percent of the total credit score. In order to improve the credit scores, people without a credit history must begin using credit, and those having credit must maintain long-standing accounts.

The Law of Large Numbers states that as the number of trials of an experiment increases, the experimental probability of an event occurring approaches the theoretical probability of the event occurring. Jake received a "magic" coin from his uncle. He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time. Based on the Law of Large Numbers, what do you think the theoretical probability of the magic coin coming up heads is? Explain how you could test your hypothesis.

Answers

The law of large number states that , if number of trials increases in an experiment , in a fair trial where each outcome has same chance of occurring or having equal probabilities,when total number of trials  goes higher and higher the probabilities of each single outcome becomes approximately equal.→→In case of Experimental Probability

The Coin Possessed by Jake is a Magic coin.

Now Outcomes received by jake when he tosses the coin certain number of times.He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time.

Based on the information provided , it appears that coin is not fair . It is  Unbiased.So , if we apply law of large numbers here after number of trials will go higher and higher , the chances of coming head will be more than tail i.e theoretical probability of the magic coin coming up heads is> 50%.

To test my hypothesis i have used the information provided by Jake, which shows that coin is not fair. The probability of head has more than tail i.e by 14%, 7%,8% and 12%.


Write write an exponential growth function for the following situation you are depositing $5,000 into a bank with an interest rate of 9% for x years

Answers

[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=5000(1+0.09)^x\implies A=5000(1.09)^x[/tex]

The graph of the equation y = x2 - 3 is shown. Which equation will shift the graph up 6 units?

Answers

Answer:

Here’s the graph

Step-by-step explanation:

WILL MARK BRAINLIEST FOR QUICKEST ANSWER graph the image of the figure after a dilation with a scale factor of 1/4 centered at (5 -5)

Answers

Answer:

Given: Scale factor, [tex]k = \frac{1}{4}[/tex] and centered at (5, -5).

Labelled the given figure as A, B and C.

The coordinates of the given triangle ABC are;

A = (-3, 7)

B = (-7, -5) and

C = (9, 3)

To find the image of the figure after a dilation with scale factor 1/4 centered at (5, -5).

The rule of dilation with scale factor 1/4 and centered at (5, -5) is given by;

[tex](x, y) \rightarrow (\frac{1}{4} (x -5) +5 , \frac{1}{4}(y+5) -5)[/tex]

or

[tex](x, y) \rightarrow (\frac{1}{4}x + \frac{15}{4}, \frac{1}{4}y -\frac{15}{4})[/tex]

The coordinates of the image of the figure after dilation are;

[tex]A(-3, 7) \rightarrow (\frac{1}{4}(-3) + \frac{15}{4}, \frac{1}{4}(7)-\frac{15}{4})=(\frac{-3}{4}+ \frac{15}{4}, \frac{7}{4}- \frac{15}{4}) = (\frac{-3+15}{4}, \frac{7-15}{4}) = (\frac{12}{4}, \frac{-8}{4}) = A'(3, -2)[/tex]

[tex]B(-7, -5) \rightarrow (\frac{1}{4}(-7) + \frac{15}{4}, \frac{1}{4}(-5)-\frac{15}{4})=(-\frac{7}{4}+ \frac{15}{4}, -\frac{5}{4}- \frac{15}{4}) = (\frac{-7+15}{4}, \frac{-5-15}{4}) = (\frac{8}{4}, \frac{-20}{4}) = B'(2, -5)[/tex]

[tex]C(9, 3) \rightarrow (\frac{1}{4}(9) + \frac{15}{4}, \frac{1}{4}(3)-\frac{15}{4})=(\frac{9}{4}+ \frac{15}{4}, \frac{3}{4}- \frac{15}{4}) = (\frac{9+15}{4}, \frac{3-15}{4}) = (\frac{24}{4}, \frac{-12}{4}) = C'(6, -3)[/tex]

As,You can see the graph as shown below in the attachment.


Mrs. Bea’s Bakery offers a Saturday morning special where your entire meal is 15% off. How much will a $32.00 meal cost after the special?

Answers

Answer:

27.2

Step-by-step explanation:

32*.85=27.2

Answer:

$27.20

Step-by-step explanation:

15 percent of 32 is 4.8

32-4.8= 27.20 so $27.20

The end points of the diameter of a circle are at (-4,-5) and (6,-3). what are the coordinates of the center of the circle?

Answers

Answer:

(1,-4)

Step-by-step explanation:

Remember, the diameter of a circle crosses through the center from one side of the circle to the other. It is 2 times the radius. This means the center of the circle is the midpoint of the diameter. We find it using the midpoint formula:

[tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]

[tex](\frac{-4+6}{2} , \frac{-5+-3}{2})=(\frac{2}{2} , \frac{-8}{2})=(1,-4)[/tex]

which equation is represented by the table? a) y=|x-4| b) y=|x|-4 c) y=|x|+4 d) y=|x+4|

Answers

Answer:

option (a) y=|x-4| is correct.

Step-by-step explanation:

Solve the question by elimination method i.e. put values of x in the given equations and check if equality holds.

(b) if x=2, then y= |2| - 4 = -2 , which is wrong

(c) if x=2, then y = |2| + 4 = 6, which is wrong

(d) if x= 2, then y = |2 + 4| = 6, which is wrong

The equality holds for (a).


Urgent! Please help!

Solve the equation:

(square root)x-6=6

A.
-42

B.
12

C.
30

D.
42

Answers

Answer: B



Step-by-step explanation:


Perry won 122 lollipops playing horseshoes at the county fair. At school he gave four to every student in his math class. He only has 6 remaining. How many students are in his class

Answers

Answer:

29 students

Step-by-step explanation:

First you subtract 6 from 122 so you aren’t counting the remaining 6. You get 116

Then you divide 116 by 4 to find how many students are in his class which is 29

Mickey works in a square shaped office. The area of his office is 110.25 ft2. What is the length of one side of Mickey’s office?

Answers

Answer: A formula that can be used to find the answer is (x Squared = 110.25) So (x times x = 110.25) 10.5 is the length of one side because 10.5 squared = 110.25.

Answer is 10.5


Final answer:

To find the length of one side of Mickey’s square-shaped office with an area of 110.25 square feet, we take the square root of the area, resulting in a side length of 10.5 feet.

Explanation:

The question asks for the length of one side of Mickey’s square-shaped office given that the area of the office is 110.25 square feet. To find the length of one side, we can use the formula for the area of a square, which is area = side², where ‘side’ represents the length of one side of the square. Given that the area = 110.25 ft², we solve for the side length by taking the square root of the area.

So, the calculation would be side = √(110.25 ft²), which equals 10.5 feet. Therefore, the length of one side of Mickey’s square office is 10.5 feet.

How do you solve this?? A line has a slope of 2. It passes through the points (1, 2) and (3, y) . What is the value of y?

Answers

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have m = 2 and the points (1, 2) and (3, y). Substitute:

[tex]\dfrac{y-2}{3-1}=2\\\\\dfrac{y-2}{2}=2\qquad\text{multiply both sides by 2}\\\\y-2=4\qquad\text{add 2 to both sides}\\\\\boxed{y=6}[/tex]

If an object is dropped from a height of 55 feet, the function d = -16^2 + 55 gives the height of the object after t seconds. Graph this function. Approximately how long does it take the object to reach the ground (d=0)

Answers

Answer:

Approximately  1.9 seconds   (correct to nearest tenth)

Step-by-step explanation:

Looks like the function is  d = -16t^2 + 55    ( you left out the t)

The answer is the value of t when d = 0 so we have the equation:-

0 =  -16t^2 + 55

16t^2 = 55

t^2 = 55/16

t = sqrt (55/16)

= 1.85 seconds

Answer:

t is approximately 1.854049622 seconds

Step-by-step explanation:

d = -16 t^2 + 55

Let d = 0

0 = -16 t^2 + 55

Subtract 55 from each side

-55 = -16 t^2

Divide by -16 on each side

-55/-16 =  -16 /-16t^2

55/16 = t^2

Take the square root of each side

sqrt(55/16) = sqrt(t^2)

We only take the positive square root because time must be positive

sqrt(55/16) = t

t is approximately 1.854049622 seconds

Multiply the polynomial

(4d-3)(-2d+1)

Answers

Answer:

-8d^2+10d-3

Hope i helped if i am wrong tell me please :)


Step-by-step explanation:

combine like terms

There are 9 computers and 72 students. What is the unit rate of students to computers? pleaase help meee

Answers

9/72 = 1/8

PLEASE GIVE BRAINLIEST

Answer:

1:8

Step-by-step explanation:

We know that every 9 computers there are 72 students, so if we divide 72 by 9 it will be 8. Therefore for 1 computer it has 8 students.

Solve for x -6x +11< -9x+2

Answers

-6x + 11 < -9x + 2

Add 9x to both sides.

3x + 11 < 2

Subtract 11 from both sides.

3x < -9

Divide both sides by 3.

x < -3

The value of x is less than -3.

Answer:

A

Step-by-step explanation:

The elevations of five points below sea level are given here. Which elevation is closest to sea level? A. -50 feet B. -68 feet C. -77 feet D. -86 feet E. -97 feet

Answers

Answer:

A. -50 feet

Step-by-step explanation:

To find the number closest to sea level, take the absolute value of each number and see which is closest to zero.

A. -50 feet   abs (-50) = 50

B. -68 feet  abs (-68) = 68

C. -77 feet   abs (-77) = 77

D. -86 feet  abs ( -86) = 86

E. -97 feet  abs (-97) = 97


The smallest number is 50.  -50 ft is closest to sea level

Answer:

Step-by-step explanation:

A. 50

Two coins are tossed at the same time. What is the probability that they will both land tails up ?
- 75%
- 60%
- 25%
- 50%

Answers

Answer:


Step-by-step explanation:

If there are 4 coins and two faces on those coins then that means there are 4 faces flipping them both at the same time means it will have a 25% chance of them landing on the same side

Answer:

25%

Step-by-step explanation:

Okay so let's just say that you are tossing one coin and you want to know the chance of it landing as tails well its a 50 out of 100 chance of it being tails that is because there are two sides. But you have two so all together there are 4 sides. So let's say that each coin is 50 so now we need to find a even number for all sides, So let's just do 50 -25 = 25 so that lets us know that we can make each side 25%... So now you have a 25%  chance of landing both coins as a tail.

I'm so sorry if this does not make seance I have a very hard time explaining things...  

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