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

The endpoints of QA are Q (-8,6) and A (-5,3). What the coordinates of the midpoint of Q4 ?
A (-6.5, 4.5)
B (-1.5, 4.5)
D 17, 4.5)​

Answers

Answer:

A

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = Q(- 8, 6) and (x₂, y₂ ) = A(- 5, 3) , then

midpoint = ( [tex]\frac{-8-5}{2}[/tex], [tex]\frac{6+3}{2}[/tex] ) = ( [tex]\frac{-13}{2}[/tex], [tex]\frac{9}{2}[/tex] ) = (- 6.5, 4.5 ) → A

The answer is A your welcome

Use the drawing tools to form the correct answers on the graph. Draw the lines representing the vertical and horizontal asymptotes on the graph of this function. 212 + 71 – 4 12 + 51 + 4 = Drawing Tools Click on a tool to begin drawing. Delete Undo Reset Select Line 10 Click on the Graph and drag the Line in the desired direction. al 6 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 -2 4 -6 20 Edmentum. All rights reserved.​

Answers

Answer:

vertical asymptote X=-1

horizontal asymptote Y=2

Step-by-step explanation:

The vertical and the horizontal asymptotes of the function [tex]f(x) = \frac{2x^2 +7x - 4}{x^2 + 5x + 4}[/tex] are x = -1, and y = 2

The function is given as:

[tex]f(x) = \frac{2x^2 +7x - 4}{x^2 + 5x + 4}[/tex]

To start with, we plot the graph of f(x)

The asymptotes are the lines that pass through the points that appears to be on the curve because of their nearness to the curve, but they are actually not on the curve of the function.

From the graph (see attachment), we can see that:

The vertical and the horizontal asymptotes are x = -1, and y = 2

Read more about asymptotes at:

https://brainly.com/question/8493280



In the figure, angle I measures 56° and angle A measures 38°.
The measurement of angle B, C, F is

Answers

Answer:

B = 34 C = 108 F = 94

Step-by-step explanation:

Answer:

B = 34   C = 108   F = 72

Step-by-step explanation:

It's not my answer look in the comments for the other answer :P

Susie wants to buy 5 slices of pizza and a liter of soda that costs $5 for her and her friends. How much money does Susie need?

Answers

if its $5 for 5 slices and $5 for one soda then she needs $10 but if it’s $5 for the 5 slices and soda then she needs $5 the question isnt very clear

A three-and-a-half foot stick is cut into two pieces. One piece is
1.65 ft long. How long is the other piece?

Answers

Answer:

1.4

Step-by-step explanation:

3.05 is the length of the stick and 1.65 is one part if the stick si we subtract 1.65 from 3.05 to find the length of the other piece

1.4 I hope I helped have a nice day!!

The following is an example of what type of sequence? 3, 11, 19, 27, 35...
a geometric
C. ratio
b. arithmetic
ddifference

Answers

B....................

Answer:

b. Arithmetic .

Step-by-step explanation:

b because  to get the next term you add 8.

Which of the table in the image below represents a function?

Answers

Answer:

table C

Step-by-step explanation:

function

* one object/ input must only have one image/ output

* only one-to-one relation and many-to-one relation is a fuction

table A

= one-to-many relation

= input 8 has two outputs ( -9 and -8 )

= not a function ❌

table B

= one-to-many relation

= input 7 has two outputs ( 12 and 13 )

= not a function ❌

table C

= one-to-one relation

= all input has only one output

= a fuction ✅

table D

= one-to-many relation

= input 10 has two outputs ( 0 and 4 )

= not a function ❌

A fraction whose value is the same as 3/4 is

Answers

Answer:

[tex] \frac{6}{8} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} [/tex][tex] = \frac{3 \times 2}{4 \times 2} [/tex][tex] = \frac{6}{8} [/tex]

Given y=2x+1 work out y x=4

Answers

Answer:

y = 2(4) + 1

y = 8 + 1

y = 9

Step-by-step explanation:

How do I plot this?


Answers

you should have a dot on the -2 on the y line

sum of all angles in isosceles triangle is?​

Answers

Answer:Every triangle has 180 degrees. An isosceles triangle has one vertex angle and two congruent base angles. Thus the vertex angle is 38 and the base angle is 71 and their sum is 109. :)

Step-by-step explanation:

Answer:

the sum of all angles of every single triangle    is 180 degrees

Step-by-step explanation:

if 75 cookies feed 25 students, then how many cookies are needed to feed 40 students​

Answers

Answer:

120

Step-by-step explanation:

75 / 25 = 3

40 x 3 = 120

PLZ GIVE BRAINLIEST ONLY NEED 2 MORE!

Answer:

120

Step-by-step explanation:

Hope this helped have an amazing day!


Question 2
Remember that new marketing gig that Connie landed with Cosmic Coffee? Let's think about the promotion she was
excited to roll out:
Get your made-to-order coffee drink within 3 minutes or it's free!
Recall that it's known from a previous study that the average time it takes for a customer to receive their drink is
2 minutes, 39 seconds, with a standard deviation of 20 seconds.
Part A
Calculate the z-score associated with the value of 3 minutes. Convert 3 minutes and the mean to seconds before doing
the calculation.

Answers

9514 1404 393

Answer:

  1.05

Step-by-step explanation:

Following instructions, we have ...

  Z = (X -μ)/σ

  Z = (180 -159)/20 = 21/20

  Z = 1.05

The Z-score associated with the value 3 minutes is 1.05.

_____

Additional comment

About 14.7% of customers will be getting free coffee.

Answer:

Sample anwer from Edm and Plato

Step-by-step explanation:

can someone please help me out with this.​

Answers

this is not a function

read the picture please​

Answers

Answer:

I think its g and j

I don't think its I because that's above -1 and -3/2 should be below

I believe it’s G and I. G is 2.4 and I is -3/2

What is the solution to this equation?
3(n - 9) - 2011 + 4) = 6n2​

Answers


Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
n
=
1
+
i

5423
4
,
1

i

5423
4

How many baby's does it take to paint a wall​

Answers

Answer:

12 I think?

Step-by-step explanation:

The answer to the famous joke is "It depends on how hard you throw them." It's important to note that this joke is dark humor and can be considered offensive or inappropriate.

It plays on a shocking and insensitive idea, which is why it's not suitable for all audiences. Jokes like this should be used with extreme caution, as they can cause discomfort or distress to others.

Humor should be inclusive and respectful of everyone's feelings and sensitivities. While jokes can be a form of entertainment, it's essential to choose them wisely and be mindful of their potential impact on others. In most social settings, it's best to avoid jokes that involve sensitive subjects or potentially harmful content.

To know more about dark humor, click here.

https://brainly.com/question/34722252

#SPJ6

------------The given question is incomplete, the complete question is:

"What is the answer to the famous joke, "How many babies does it take to paint a wall?"---------------

order these numbers from from least to greatest

27    3/9   1/5    1.23    75%​

Answers

Answer:

I don't know...jkkk

Step-by-step explanation:

First put the fractions and percents as decimals

27, 0.5,0.2, 1.23, 0.75

Now you can easily order them from LEAST to GREATEST

0.2,0.5,0.75,1.23,27

Hope this helps! :)

What is the Pr me Factorization of 402?​

Answers

i think it’s 2,3,67

Puteti sa ma ajutati va rog? Vreau solutii cu explicatie elaborata, nu doar raspunsul. Multumesc.

Answers

I don’t speak Spanish but if you put the English trans in the comments I’d love to answer

A licensed nurse practitioner is instructed to give a patient 1500 milligrams of an antibiotic over a period of 36 hours. If the antibiotic is to be given every 2 hours starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 18x=1500.

Answers

Answer:

83.33 milligrams

Step-by-step explanation:

The equation, [tex] 18x = 1500 [/tex] represents the total dosage of antibiotics to be given to the patient in relation to the hours.

Thus, the each dosage = x.

Let's solve for x

[tex] 18x = 1500 [/tex]

Divide both sides by 18

[tex] \frac{18x}{18} = \frac{1500}{18} [/tex]

[tex] x = 83.33 milligrams [/tex] (nearest hundredth)

Jasmine can buy 2.25 pounds of beef for $7.98.

What is the unit price per pound of meat?
I haven't done unit rate in a while and I can't find it in my notes. So could you explain how to find unit rate too?

Answers

Answer:3.54

Step-by-step explanation:You would divide the price by the amount.

Add.
92 +53
Enter the correct answer in the box.

Answers

Answer:

145

Step-by-step explanation:

25 POINTS AND BRAINLIEST

Answers

Answer:

-2.4

Step-by-step explanation:

-54/22.5= -2.4

If it went down 54 degrees in 22.5 minutes, then you do -54/22.5, which gives you -2.4. So the temperature went down 2.4 F each minute. I think.

–2.5 + (–3.5)

Which number line shows the sum?
A.
B.
C.
D.

Answers

the answer is......... -6

Answer:

The correct answer is C.

Step-by-step explanation:

Because –2.5 + (–3.5) = -6, it means  that the red line goes from -6 to -3 1/2 to 0. so that gives us Answer choice C

As a cold front moved in, the temperature dropped 3 degrees each hour for 6 hours. What was the total temperature change after the 6 hours?

Answers

Answer:18°

Step-by-step explanation:

6x3=18

You have at most $28 to spend at a market. Apples cost $0.45 each, and pears cost $0.60 each. Let a be numbers of apples and p be numbers of pears. Write an inequality that represents the numbers of apples and pears you can afford

Answers

Answer:

$0.45a+$0.60p ≤$28

Step-by-step explanation:

Answer:

0.45a + 0.60p <= 28

Step-by-step explanation:

Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below. Use the distance formula to determine the radius: d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot Substitute the known values into the standard form: (x – h)² + (y – k)² = r². What is the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1)? x2 + (y + 4)² = StartRoot 5 EndRoot (x – 1)² + (y + 2)² = 5 (x + 4)² + y² = 5 (x + 2)² + (y – 1)² = StartRoot 5 EndRoot

Answers

Answer:

Radius length: √5

Standard Form (Equation): (x + 4)^2 + y^2 = 5

Step-by-step explanation:

First we will determine the radius;

Center: (-4, 0)

Point on Circumference: (-2, 1)

d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2

= √4 + 1 = √5

Therefore the radius is of length √5

Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

Answer:

its C. (x + 4)² + y² = 5

Step-by-step explanation:

edge

Can anyone help me with this for some reason I can’t get my head round it

Answers

Every yeat Mikes car value is going down 30% so in 2017 it would be £4116

Answer:

4116

Step-by-step explanation:

12000÷100=120 2015

120×70=8400

8400÷100=84 2016

84×70=5880

5880÷100=58.8 2017

58.8×70=4116

A farmer buys several gallons.g. of
fertilizer for $8.25 each and an
irrigation unit for $65. He spends a
total of $683.75. Determine the
number of gallons of fertilizer the
farmer bought

Answers

Answer:
Step-by-step explanation:
8.25(g)+65=683.75
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