simplify 4 times the square root of 6 divided by the square root of 30 by rationalizing the denominator. show your work.

Answers

Answer 1

Answer:

4*[tex]\sqrt{5}[/tex]/5

Step-by-step explanation:

(4*[tex]\sqrt{6}[/tex])/[tex]\sqrt{30}[/tex]

This is my interpretation, although the question could also be interpreted as 4 * ([tex]\sqrt{6}/\sqrt{30}[/tex])

Multiply the nominator and denominator by sqrt 30

4* sqrt 6 * sqrt 30/ 30

4 * sqrt 6 * sqrt 6 * sqrt 5/30

24*sqrt 5 / 30

4*sqrt5/5


Related Questions

What is the perimeter, in square units, of a rectangle XWYZ, with vertices X(0,0) W(0,7) Y(3,7) Z(3,0)?​

Answers

Answer:

20

Step-by-step explanation:

P=2(l+w)=2·(7+3)=20 The length was 7 and the width was 3.

Graph the line with slope 2 passing through the point (-1, 5).​

Answers

Answer:

(-1,5)

(0,7)

(1,9)

(2,11)

(3,13)

(4,15)

(5,17)

Step-by-step explanation:

Because we are already given our slope and a point to help us create our line. With this information, we can find the other points that we would use to create the line for a slope = 2 passing through the point (-1, 5).

To do so we use the information that is a slope equal  [tex]m=\frac{rise}{run}[/tex]

So we make our slope which is two look like [tex]m=\frac{2}{1}[/tex]

So to find our next point we would have to rise up 2 units and run 1 unit to the right from (-1, 5). We do the same to find the next points.

We get the following points from doing so  

(0,7)

(1,9)

(2,11)

(3,13)

(4,15)

(5,17)

You will use the points to create the line for the slope 2 passing through the point (-1, 5)  

2. Billie purchased a Jeep for $12,480. Her down payment was $3,600. If she paid the remainder in 48 monthly payments (excluding interest), what would be her monthly payment? (1) $165 (2) $175 (3) $185 (4) $195 (5) $205 ​

Answers

Answer:

(3) $185

Step-by-step explanation:

12,480 - 3,600 = 8,880

8,880 / 48 = 185

At Hamilton's Hamburger Hangout, 50% of the tables are occupied by customers. There
are 20 tables occupied by customers.
Shade the grid to show the percent of tables that are occupied.
How many total tables are there? You can use your model to help.
tables




I don’t get the answer what is it can anyone help?

Answers

Answer:

40 tables total

Step-by-step explanation:

Several ways to figure it out, but hopefully one of these is better for you to understand..

20 is half of 40 or 50% 50% in decimal form is .5 or .50 (either way works)

40 x .5 = 20 or you could say

1/2 of 40 is 20

So you would want to shade 20 tables, and the other 20 would be unshaded.

help me please one again what is 2(n + 3y)

Answers

Answer:

30

Step-by-step explanation:

2(n+3y)

Plug in the numbers

2(3+3(4))

2(3+12)

2(15)

30

I believe this is how it would be solved

Joe collected 94 stamps altogether. He collected 27 in April and 34 in May. How many did he collect in June?

Answers

Answer:

33

Step-by-step explanation:

From what we know in April and May combined Joe has collected 61 stamps (27+34=61). To then work out how many Joe collected in June you would take the 61 we know he has already got away from the grand total of 94 (94-61=33) this means in June he collects 33 stamps. Hope this helps :)

i need help asap please

Answers

Answer:

x = 52 due to vertical angle theorem

Step-by-step explanation:

Vertical angles mean that the angles are congruent.

If we know that one angle is 52 the other one shall be 52 as well because vertical angles state that ones that are directly across are congruent known as equal.

ABC = 90, ACB = 45° and AC = 2√6. a) Find the measure of the angle CAB.​

Answers

Since triangle ABC is a right triangle (90*), and angle ACB 45*, angle CAB must also equal 45*

Angles of triangle = 180=90+45+x
180=135+x
180-135=135-135+x
45=x

Select the correct answer.
Which of these is a non-real complex number?

Answers

Answer:

C

Step-by-step explanation:

[tex]\dfrac 83 +\sqrt{-\dfrac 73}\\\\=\dfrac 83 + \sqrt{-1} \sqrt{\dfrac 73}\\\\=\dfrac 83 +i\sqrt{\dfrac 73}~~~~~~;\left[i =\sqrt{-1}\right]\\\\\text{It is now in the standard form of complex number (a+bi).}[/tex]

jack picks 60 apples from an apple tree .He uses 12 of them to make applesauce .He places the remaining apples equally into 6 gift baskets. Wich equation can be used to determin the number of apples,a, Jack places into each gift baskets.

Answers

First you would subtract 12 from 60 which is 48. From there you use multiplication to see what numbers would make 48. 8x6 makes 48, so there would be 8 apples in 6 gift baskets! Hopes this helps have a great rest of your day!

Answer:

42 apples

Step-by-step explanation:

42 apples cuz how much Jack used

what two expressions plus 3x-4 add up to 9x+6

Answers

Answer:

6x-10

Step-by-step explanation:

Because if you take 9x+6 minus 3x-4 you get 6x-10 because when you subtract a negetive you add them. :) Hope this helps.

World War II began in the year 1939.
Let x represent any year. Write an inequality in terms
of x and 1939 that is true only for values of x that
represent years before the start of World War II. PLS ANSWER ILL GIVE U 5 STARS

Answers

Answer:

x < 1939

Step-by-step explanation:

If we want years before 1939, then x must be less than 1939. From this we can make the inequality: x < 1939. It shows that x must be anything less than 1939.

Nadia wants to estimate the mean driving range for her company's new electric vehicle. She'll sample vehicles and measure each of their driving ranges to construct a confidence interval for the mean driving range. She wants the margin of error to be no more than 10 kilometers at a 90% level of confidence. A pilot study suggests
that the driving ranges for this type of vehicle have a standard deviation of 15 kilometers.

Which of these is the smallest approximate sample size required to obtain the desired margin of error?

A) 5 vehicles
B) 7 vehicles
C) 10 vehicles
D) 15 vehicles
E) 30 vehicles

Answers

Using the z-distribution, it is found that the smallest sample size required is given by:

B) 7 vehicles.

What is the margin of error for a z-distribution confidence interval?

It is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

z is the critical value.[tex]\sigma[/tex] is the population standard deviation.n is the sample size.

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The margin of error and the population standard deviation are given by, respectively:

[tex]M = 10, \sigma = 15[/tex].

Then, we solve for n to find the needed sample size.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]10 = 1.645\frac{15}{\sqrt{n}}[/tex]

[tex]10\sqrt{n} = 1.645 \times 15[/tex]

[tex]\sqrt{n} = 1.645 \times 1.5[/tex]

[tex](\sqrt{n})^2 = (1.645 \times 1.5)^2[/tex]

[tex]n = 6.1[/tex]

Rounding up, 7 vehicles have to be sampled, hence option B is correct.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Geoff is training for a charity bike ride. he takes a ride on 49-Mile Scenic Drive in San Francisco. The table shows his time at the beginning and end of the ride. What is Geoff's average speed for the ride?​

Answers

Answer:

here

distance=49miles

time=3.5

Step-by-step explanation:

Now,

we know that,

V=Distance÷time

=49÷3.5

=14

so that,

Avg.Speed=Velocity÷time

=14÷3.5

=4 ans

The Jacksons sublet their summer cottage during the winter and spring months. For each month they receive 72% of their monthly mortgage of $1,750. How much did The Jacksons earned in 6-months?

Answers

Answer:

7,560

Step-by-step explanation:

70% of 1750 × 6 = 7,560


13-18 Express the quantity as a single logarithm.
15. [tex]\ln 10+2 \ln 5[/tex]

Answers

Hope this can help you .

what is the perimeter of the trapezoid? please help asap!!

Answers

Answer:

42

Step-by-step explanation:

add base 1, 2, 3 & 4 so 9 + 9 + 15 + 9 = 42

What is an expression for the area of the figure? Write your answer as a polynomial in standard form.

Answers

Answer:

[tex]A=4x^{2} +x[/tex]

Step-by-step explanation:

[tex]A = (3x)(2x+1) -2x(x+1)[/tex]

[tex]=6x^{2} +3x-2x^{2} -2x[/tex]

[tex]=4x^{2} +x[/tex]

Hope this helps

Evaluate the expression.
(-3)³ +(5-2)4

Answers

Answer:

54

Step-by-step explanation:

( - 3 )³

= ( - 3 ) x ( - 3 ) x ( - 3 )

= - 27

( 5 - 2 )^4

= 3^4

= 3 x 3 x 3 x 3

= 81

( - 3 )³ + ( 5 - 2 )^4

= - 27 + 81

= 81 - 27

= 54

What is 60% of 50?


20

30

40

60

Answers

Step-by-step explanation:

60/100 ×50

= 30 ........

Simplify by combining like terms:

-2x + 3 - 8y + 12 + 6x - 7y

Answers

Answer: 4x-15y+15

Step-by-step explanation:

Just combine then simplify.

PLEASE MARK ME THE BRAINLIEST!!!

Answer:

4x - 15y + 15

Step-by-step explanation:

You can only combine terms that have the same variable. For example, a number with the "x" variable can only be added to/subtracted by other numbers with the "x" variable. To make the simplifying easier, I would start by putting these terms next to each other. Remember that the negative values must stay with the value they are next to (i.e., the (-) in front of the (7y) must stay with it).

Starting: -2x + 3 - 8y + 12 + 6x - 7y

Rearranged: -2x + 6x - 8y - 7y + 3 + 12

Then, combine the values by adding them. Remember, adding a negative value means you end up subtracting it.

(-2x) and (6x) combine to form (4x)

(-8y) and (-7y) combine to form (-15y)

(3) and (12) combine to form (15)

This leaves you with:  4x - 15y + 15

Mila and Ben use red and orange beads to make bracelets with 60 beads each.
Mila uses 2 red beads for every 3 orange beads. Ben uses 5 red beads for
7 orange beads. Who uses more orange beads?
every
Mila
Ben
Red Orange
Total
Red Orange
Total
2
3
5
7
60
60

Answers

Answer:

Mila

Step-by-step explanation:

3+2=5

60/5=12

12*3=36

Mila uses 36 orange beads

7+5=12

60/12=5

7*5=35

Ben uses 35 orange beads

Mila uses more beads

hope this helps you on your homework :D

Answer:

From the results we can see that Mila would be using 15 orange beads.

Step-by-step explanation:

Step 1:  Determine a common denominator

We need to figure out a ratio between the two people in a way so we can compare the amount of orange beads that are being used.  We know that Mila uses 2 red beads while ben uses 5 red beads which means that we can use a ratio of 10.

(2 red beads * 5) : (3 orange beads * 5)

(10 red beads) : (15 orange beads)

(5 red beads * 2) : (7 orange beads * 2)

(10 red beads) : (14 orange beads)

Answer: From the results we can see that Mila would be using 15 orange beads.

If X=2y+6 find the value of x³-8y³-36xy-216.​

Answers

Answer:

Please check out the attachment.

btw sorry for the handwriting

Step-by-step explanation:

Stay safe, stay healthy and blessed.

Have a blessed day !

Thank you

15 dollars a hour spends 25 dollars a day. Write an expresstion of his earnings in a day?

Answers

Answer:

E = 15x - 25

Step-by-step explanation:

He makes 15 dollars an hour for x amount of hours and then subtract 25 dollars

The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
75
1
80
5
85
7
90
3
95
1
100
6

Answers

Answer:

its has to be 45.6 becuase when you calculate you get 45.66666667 so its either that or 46

Step-by-step explanation:

add 75+1+80+5+85+7+90+3+95+1+100+6=548

then you divide by the amount of numbers there are which is twelve so

548 divided by 12 is 45

round 10}982 to the neraste hundred

Answers

Answer:

1000

Explanation:

982 rounded nearest hundred is 1000

Answer asap and only if yk 100% its correct

Answers

Answer:

24

Step-by-step explanation:

If one of the side is 6 in and the shape is a square. All the sides most be 6 aswell. so it's 6x4

A line slope has a slope -5 and passes through the point (2,2)..An equation for this line is

Answers

Answer:

y = -5x + 12

Step-by-step explanation:

First remember the equation y = mx + b

We have values for x, y, and m so all we need to do is solve for b.

2 = -5 (2) + b

2 = -10 + b

12 = b

Then plug that value back in and keep the variables for x and y

y = -5x + 12

4 ft 8 ft 4 ft 10 ft
Explain to a friend how to find the perimeter of the figure shown.​

Answers

Answer:

Take the measurement of every side and add them together. This will give you the total perimeter. For example, if you have a rectangle with the measurements 4 ft on the 2 short sides and 8 ft on the two long sides, you add together 4 + 4 + 8 + 8 which equals 24.

Hope I was able to help :)

A tumbler contains 2 litres and 250 millilitrer of orange juice . How many glasses can be filled with 15 ml of this juice in each

Answers

given:

2 litres and 250 millilitres of orange juice.

to find:

how many glasses can be filled with 15 ml of this juice in each.

solution:

[tex]2 \: litre = 2000 \: millilitre[/tex]

[tex]2000 + 250[/tex]

[tex] = 2250[/tex]

[tex] \frac{2250}{15} [/tex]

[tex] = 150[/tex]

therefore, 150 glasses can be filled with 15 millilitres of orange juice.

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