simplify [tex]\sqrt{80} + \sqrt{2\frac{2}{9}[/tex]

Answers

Answer 1

Answer:

[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]

Step-by-step explanation:

Simplify:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]

We must express the mixed fraction into an improper fraction:

[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]

Since 80 = 16*5 and 20=4*5

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]

Adding the fractions:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]

[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]


Related Questions

How is the Pythagorean theorem related to the distance formula?Explain.

Answers

Answer:

If you plot 2 points on a graph right, you can form a triangle between the 2 points. You can determine the legs's sizes using the coordinates of the points. Pythagorean theorem is then used to find the hypotenuse, which IS the distance from one point to the other. Hope that helps.

Step-by-step explanation:

Answer:

Sample Response: Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The 

Step-by-step explanation:

A cone, a cylinder and a sphere all have the same radius and the same height.Which would have the largest volume?

Answers

A sphere ms.gurl ya welcome

Answer:

The sphere and the cylinder

Which ordered pair is a solution of the inequality y < 3x + 1?

A. (−3, −2)
B. (3, 14)
C. (1, −3)
D. (1, 6)

Answers

Answer:

The answer is C. (1,-3)

Step-by-step explanation:

This is your perfect answer

Christina owns a café. The graph shows the number of cups of tea that were sold at her café each hour past noon. Based on the model, approximately how many cups of tea can Christina expect to sell during the eighth hour?

Answers

Answer:

Where's the graph? I need the graph to answer

Approximately 175 cups of tea can Christina expect to sell during the eighth hour.

We need to find how many cups of tea can Christina expect to sell during the eighth hour.

How to interpret the graph?

To interpret a graph or chart, read the title, look at the key, and read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed.

From the given graph we can see that corresponding to the x-axis for the 8th hour along the y-axis 175 cups of tea were sold.

Therefore, 175 cups of tea were sold.

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https://brainly.com/question/16192791.

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pls answer both parts of this problem for a brainliest !!

Bianca can walk 5/6 of a mile in of an hour. What is her walking speed, in miles per hour?

Answers

Step-by-step explanation:

please see it, i work on paper worksheet

Answer:

2 1/2 miles

24 minutes per mile

Two sailboats are traveling along the same path away from a dock, beginning from different locations at the same time. John’s boat beings 30 miles from the dock and is 50 miles from the dock after 5 hours. The distance of Roberta’s boat from the dock is represented by the function y = 5x + 25, where x represents time and y represents the distance from the dock.

Which boat was farther from the dock at the beginning, and which traveled more quickly?

A. John’s boat was farther from the dock at the beginning, but Roberta’s boat traveled more quickly.

B. Roberta’s boat was farther from the dock at the beginning, and it traveled more quickly.

C. John’s boat was farther from the dock at the beginning, and it traveled more quickly.

D. Roberta’s boat was farther from the dock at the beginning, but John’s boat traveled more quickly.


Please Help!!!!

Answers

Answer:

c

Step-by-step explanation:

The correct statement is John’s boat was farther from the dock at the beginning, and it traveled more quickly option (C) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Two sailboats are traveling along the same path away from a dock, beginning from different locations at the same time.

y = 5x+25

at starting x=0

y = 25 miles away from the dock

x = 5

y = 5×5+25

y = 50 miles

= (50 - 25)/5

= 5

Thus, the correct statement is John’s boat was farther from the dock at the beginning, and it traveled more quickly option (C) is correct.

Learn more about the linear equation here:

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15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer:

120

Step-by-step explanation:

a^2 + b^2 = c^2

48^2 + x^2 = 52^2

2304 + x^2 = 2704

x^2 = 2704-2304

x^2 = 400

x = 20

52 + 48 + 20 =

120

B
1
N
4
5
5
(4x+6)
(5x -5)
7
00
0
A
С
(3x + 8)
The value of x is
and the length of the base is

Answers

Answer: (2x + 3) • (x-1)

Step-by-step explanation:

1 Pull out like factors :

4x + 6 = 2 • (2x + 3)

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

(5x - 5) = 5 • (x - 1)

A rose bush grew from 24 inches to 36 inches in two weeks. What was the percent increase?

Answers

Answer:

50 percent increase

Step-by-step explanation:

Answer:

50% increase

Step-by-step explanation:

36-24=12

12/24=.50

I need help with this​

Answers

Answer:

14

Step-by-step explanation:

add

60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?

Answers

Answer:

16:60 = 4/15

Step-by-step explanation:

Adriana can read 6 pages in 10 minutes. At this rate, how many pages can
she read in 25 minutes *
Your answer

Answers

Answer:

23 pages.

Step-by-step explanation:

10=6 10+10=20 half of 6=3 20+3=23

answer: Adriana can read 16 pages in 25 minutes

the table above shows the number of miles four different cars traveled and the amount of gasoline each car consumed. which car has the best mileage?

PLEASE HELP

Answers

Answer:

A. Pontiac

Step-by-step explanation:

Camry's mileage = Miles travelled / gallons of fuel used

= 196 / 11

= 17.82

Pontiacs mileage = Miles travelled / gallons of fuel used

= 220 / 13

= 16.92

Bluck's mileage = Miles travelled / gallons of fuel used

= 356 / 15

= 22.25

Toyotas mileage = Miles travelled / gallons of fuel used

= 583 / 21

= 27.76

The car with the best mileage is Pontiac

On Monday, a local hamburger shop sold a combined total of 588 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

the answer would be 147.I hope this helps you

Step-by-step explanation:

4h=588

h=588÷4

326 ÷ 53 Then, check using multiplacation.

Answers

Answer:

 the answer is 6,150

Step-by-step explanation:

Sorry if im wrong

Answer:

it is 6.150

Step-by-step explanation:

divide 360 its groups of 53 and you get 6.150

Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets. Sara used the equation 15 x minus 28.50 = 99 to determine x, the amount she should charge for each bracelet to make a profit of $99. How much should each bracelet cost? $4.70 $6.60 $8.50 $13.75

Answers

Each bracelet should cost $8.50. Replace x with 8.50, 15(8.50)-28.50=99

hope this helps :)

Answer:

the answer is c,   8.50

Step-by-step explanation:

if I have 130 of something and I need 200 how many more do I need

Answers

Answer:

70

Step-by-step explanation:

200 - 130

................................................
....

Answers

Answer:

HAVE A GOOD DAY :)))))))) <3

Step-by-step explanation:

5
Which equation represents a line with a slope of
2
and a y-intercept of -
.?
3
8 8
y = - +
3x 3
W100 W 100
B
5 8
y = -1
X +
2 3
5 8
y=-X-
2 3
D
5 8
y =
2x 3

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I think 28fa haha s an

thanos has 15 donuts. he cuts those into fifths. then he cut those fifths into halves. then he cut those halves into thirds. how much pieces does thanos have?

Answers

Answer:450

Step-by-step explanation:

Which 3 relationships are true in the construction below?

Answers

Answer:

The correct options are;

Line CD is the perpendicular bisector of line AB

Line segment AB is perpendicular to line CD

Line segment AE is congruent to line segment BE

Step-by-step explanation:

From the construction, we have that the radius of circle A is equal to the radius of circle A as the circumference of circle A passes through the center of circle A

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help asap I have 2 min

Answers

Number one I think I’m so sorry if I’m wrong !!
Hope this helped !

40 miners need to ride the elevator to the bottom of the mine. The elevator can hold 9 miners at a time. How many miners will be in the elevator on its last trip?

Answers

Answer:

the answer is 4

Step-by-step explanation:

How do you find the run between two points? Can the rise be negative? Explain​

Answers

Answer:

Step-by-step explanation:

To find run between two points, you will use the x-values.

For example, (2,3) and (4,5).

Your equation for slope is m=[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

To find the run of these two numbers, you will subtract the second x value from the first x value.

Your answer would be 2 for the run.

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points (2,8) and (5,1)

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To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make about Henry's cousin?

A.) Henry’s cousin practices with the choir
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C.) Henry is in the choir
D.) Henry’s cousin went to an audition

Answers

Answer:

Henry's cousin has a good singing voice

Step-by-step explanation:

Answer:

D: Henry’s cousin went to an audition.

Step-by-step explanation:

I took the test

At $1.47 per gallon of gas, what is the cost of 15 gallons?

Answers

Answer: $22.05

Step-by-step explanation:  

We know,

1 gallon = $1.47

Then,

15 gallons = $1.47 * 15 = $22.05

Answer:

1 gallon gas = 1.47

15 gallon gas = 15×1.47

=22.05

The area of the parallelogram below is ____ square meters.



Numerical Answers Expected

Answers

Answer:

Step-by-step explanation:

The formula for finding the area of a parallelogram is the same for finding the area of a rectangle/square. So basically:

6 × 8 = 48

The area of the parallelogram is 48

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Alessandro and Francesca raced each other home from school. It took Francesca 13/15 as long as Alessandro to run home. Who got home first?

Answers

Answer:

Francesca got home first.

Step-by-step explanation:

Answer:

Francesca

Step-by-step explanation:

what is 325 x 6 for middle school 5th grade math

Answers

Answer:

Step-by-step explanation:

1950

Answer:

1,950

Step-by-step explanation:

I plugged the numbers into a calculator but you can also do it the long way by multiplying 6 to each part of 325.

Sara had 40 candies. She wanted to give to her friends. She each gave her friends 10 candies each. How many friends does she have??

Answers

[tex]\huge\mathbb\purple{AnSwEr}[/tex]

[tex]\huge❤\bold\red{Hello}❤[/tex]

Hey mate 4 is your Answer

[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]

[tex]Mark \: me \: as \: brainliest .[/tex]

[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]

Answer:

4 friends

Step-by-step explanation:

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