which is equivalent to √3/√8 when denominator is "rationalized"?

Answers

Answer 1

Step-by-step explanation:

[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]

Used:

[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]


Related Questions

simplify: -7 - 8

Change 1 6/7 to a decimal round to the nearest tenth.

Answers

Answer:

-15

1.9

Step-by-step explanation:

-7 - 8 = -15

1 and 6/7 = 1.857142857142857142857142.....

about 1.9

4 A nurse is administering pain medication to
a patient. The patient's chart says that
the patient received 650 milligrams of
medication yesterday, and today he is to
receive 75% less medication than he did
yesterday. How many milligrams of pain

Someone please answer and justify thanks :)
medication should the nurse administer to
the patient today?
F 162.5 milligrams
G 262.5 milligrams
H 487.5 milligrams
J 575.0 milligrams

Answers

The nurse should administer to the patient H. 487.5 miligrams

16. Write an equation for the translation of y = |x|that is 3 units up. *​

Answers

Answer:

y = |-3|

Step-by-step explanation:

TRUST ME

If you are good at science pls answer these questions (only 4 questions)

Answers

#19 - amphibians do not produce amniotic eggs. Therefore they must lay their eggs in water so they don't dry out

How tall is Becky? Can you please help​

Answers

Answer:

Becky is 5 1/4 ft tall

-6m - 1 = -31

m = ___

please show work

Answers

ANSWER:

M = 5

Step 1: Add 1 to both sides of the equal sign

-6m-1+1=31+1

-6m=-30

Step 2: Divide both sides by -6

-6m/6 = -30/-6

(Note: Both -6 values (The denominators) will cancel each other out, which is why the end result is 5 so, again, M=5)

Which graph shows a proportional relationship between x and y?

Answers

Answer:

i think your answer would number 1 or number 4

Step-by-step explanation:

 

Answer:

The first one

Step-by-step explanation:

Las dimensiones de un prisma rectangular son x + 5 para la longitud, x + 9 para el ancho yx para la altura. ¿Cuál es el volumen del prisma? Ingrese su respuesta como un polinomio en forma estándar.

Answers

Answer:

Step-by-step explanation:

The total area of ​​the prism: A = 2 [3h² + 21h + 24]

The volume of the prism: V = h³ + 11h² + 24h

The area of ​​a rectangular prism is calculated by knowing the sides of the rectangular base (a and b) and its height (h)

A = 2 (ab + ah + bh)

The volume of a rectangular prism is calculated as the product of its dimensions:

V = a * b * h

b- a = 5 ⇒b = 5 + a  

They will rest after they hike `2` miles. Then they will hike the remaining `1.75` miles to the lookout. The trail the hikers will use to return from the lookout is `0.5` miles shorter than the trail they will use to go to the lookout. Each hiker will bring `0.25` gallons of water for each mile to and from the lookout. What is the total amount of water each hiker will need to carry?

Answers

Answer:

1.75 gallons

Step-by-step explanation:

First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...

2 + 1.75 = 3.75 miles

The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...

3.75 - 0.5 = 3.25 miles

Leaving us with a total hiking distance of

3.75 + 3.25 = 7 miles.

Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.

7 * 0.25 = 1.75 gallons

Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.

FOr 82 points ;) Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°. The length of the longest side of the triangle is not known.

How many different triangles can be drawn with these dimensions? Explain your reasoning

Answers

Answer:

do u go to dutchtown

Step-by-step explanation:c

Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 2 of the 8-ounce platters, and 2 of the 11-ounce platters.

Steak Platter Prices
• 6-ounce $9.95
• 8-ounce $12.95
• 11-ounce $15.95

If a gratuity of 18% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?
A.
$114
B.
$137
C.
$18
D.
$115

Answers

Answer:

D.) $115

Step-by-step explanation:

9.95 x 4 = 39.8

12.95 x 2 = 25.9

15.95 x 2 = 31.9

39.8 + 25.9 + 31.9 = 97.6

97.6 x 0.18 = 17.568

97.6 + 17.568 = 115.168

115.168 ≈ 115

9.95 x 4 = 39.8

12.95 x 2 = 25.9

15.95 x 2 = 31.9

39.8 + 25.9 + 31.9 = 97.6

97.6 x 0.18 = 17.568

97.6 + 17.568 = 115.168

115.168 ≈ 115

Therefore, the closest to the total of the steak platters and gratuity, ignoring sales tax is $115.

To learn more, go to this website on public health C. Then answer the following question.
What are some issues that you consider to be related to public health? List them and explain your reasons.​

Answers

Answer:

Answers will vary but might address the following:

garbage disposal and recycling

sex education in schools

nutritious food supply in schools

Elijah has $500 in a savings account at the beginning of summer he wants to have at least 200 at the end of summer he withdraws 25 per week how many weeks can you order withdraw money from his account

Answers

Answer:

12 weeks

Step-by-step explanation:

Make an inequality equation with x being the number of weeks:

200 > 500 - 25x

*subtract 500 from both sides*

-300 > -25x

*divide both sides by -25*

12 > x

Solve for g.
-6 - 9g = -10g

Answers

Answer:

g = 6

Step-by-step explanation:

G=6
I don’t know how to explain it but I hope it helps :) ! And have a good day <3

The first 3 numbers in a sequence are 30000, 12000, and 4800. Use percent to describe the pattern in the sequence. List the next 2 terms.

Answers

Answer:

1920 and 768

Step-by-step explanation:

its 40% of the numbers

40% of 30000 = 12000

40% of 12000 = 4800

next numbers

40% of 4800 = 1920

40% of 1920 = 768

if a pet hamster is placed on a digital scale, the scale reads 1.5. What could be
the units?

Answers

Answer:

pounds?

Step-by-step explanation:

Answer:

ounces

Step-by-step explanation:

Hamsters are quite light, so it would make sense that the answer is in ounces

How do I do these? ​

Answers

Answer:

bro I ain't got no idea try googling it man

8) Choose which postulate proves the triangles congruent. *



A) SAS
B) SSS
C) AAS
D) ASA
E) HL

Answers

E done this before be safe

can Consider the expresion 6348 how you use distruptive propert and the Gcf to find the equielovent expression? Explain how you can Check your answers​

Answers

Answer:

63+48= 3(21+16)

Step-by-step explanation:

Check answer:

Distribute 3(21+16)

3(21)+3(16)

63+48

What is the equation of the line that passes through the point (4,−7) and has a slope of -1/2?

Answers

Step-by-step explanation:

y = -0.5x + c

When x = 4, y = -7.

=> (-7) = -0.5(4) + c, c = -5.

Therefore the equation is y = -0.5x - 5.

Answer:

y = -1/2 x - 5

Step-by-step explanation:

y = mx + b

m = slope = -1/2

y = -1/2 x + b

-7 = -1/2 * 4 + b

-7 = -2 + b

b = -5

y = -1/2 x - 5

I need help on this question

Answers

Answer:

I and III

Step-by-step explanation:

substitute 2 for y in each equation.

-9 + 27 = 18

-18 + 27 = 9

5(27) = 135

2(27) = 54

what is the quotient of 6 1/4 ÷ (-5/8)​

Answers

Answer: -10

Step-by-step explanation:

1. Convert 6 1/4 to an improper fraction

25/4

2. Find the quotient using the keep, change, flip method

- Keep the first fraction (25/4)

- Change the division sign to a multiplication sign

- Flip the second fraction (i.e. find the reciprocal)

-5/8 -> -8/5

3. Multiply and solve by multiplying the numerators and denominators together respectively

25/4 * -8/5

25*-8 = -200

4*5 = 20

-200/20 = -10

Answer:

[tex]-\frac{12}{5}[/tex]

Step-by-step explanation:

Help me with number 5 rn i need help its due soon.

Answers

Answer:

It's option B

= - 1/3 -(-5/12)

= - 1/3 +5/12

Because minus and minus is plus

- - = =

Hope it's help ^_^

That me answers B yw :)

What’s the answer, if you don’t know please do not answer.

Answers

Answer:

Yes, the bathroom has enough water and shampoo for all of them.

Step-by-step explanation:

70L+ 60S < 5600 70(8) + 60(7) = 560 + 420 = 980 There is enough water.

0.02L + 0.01S 0.02(8) + 0.01(7) = 0.16 + 0.07 = 0.23 There is enough shampoo.

Answer:It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.

Case 1: Pasta

The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes :

Case 2: Sauce

chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes:

Answer :

The two equations are :

For pasta:

For sauce:

Step-by-step explanation:

BRAINLIEST IF CORRECT 40 POINTS
The balance on a checking account is -$15. Interpret the direction and magnitude of this value.
A.The owner of the checking account is owed -$15.
B.The owner of the checking account is owed $15.
C. The checking account is overdrawn by -$15.
D.The checking account is overdrawn by $15.

Answers

Answer:

D. The checking account is overdrawn by $15.

Step-by-step explanation:

Since the balance on a checking account represents the remaining money left in that checking account, having a negative value for that would mean an overdrawing of money, or drawing more money than is in that account in the first place.

Therefore, the answer would be that the checking account is overdrawn by $15.

Hope this helped!

SHOW ALL YOUR WORK EVERY DIVISION ADDITION MULIPLICATON AND SUBTTRACTION PROBLEM YOU DO TO SIMPLIFY THIS EXPRESSION MUS BE SHOWN thanks :)
(6g-9)+1/3(15-9g)

Answers

Step-by-step explanation:

i hope this helps you somehow

What is the slope of the line on the graph?

Answers

Answer:

Slope = 1

Step-by-step explanation:

Rise over Run= 1/1

-I hope this helps have a great night

If you ask a question will the points given ne deducted from your points​

Answers

Answer:

I think so yeah. not sure though

Answer:

I think I kinda get this question but can you be a little more...Specific?

Step-by-step explanation:

Answer this plz I’ll mark brainliest:)

Answers

✨1. B 2.D try this I hope it helps!✨

Answer:

7.5

Step-by-step explanation:

7.5 is the smallest. 7.51 is bigger by 0.01, 7.501 is bigger by 0.001 and 7.5 with a dot on top means that the number 5 repeats itself indefinately after the comma so it is like if we wrote 7.55555555 and the 5 kept going on forever

I need help solving this ! I would appreciate it

Answers

Answer:

-1 > -2

Step-by-step explanation:

-9 ÷ (3(3) > -2

-9 ÷ 9= -1

-1 > -2

this is true

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