Which choice is equivalent to the expression below? √27 - √12 + √48
A. 29√3
B. 9√3
c. 21√3
D. 5√3

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying each radical

[tex]\sqrt{27}[/tex]

= [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

[tex]\sqrt{12}[/tex]

= [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

[tex]\sqrt{48}[/tex]

= [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

Then

3[tex]\sqrt{3}[/tex] - 2[tex]\sqrt{3}[/tex] + 4[tex]\sqrt{3}[/tex]

= 5[tex]\sqrt{3}[/tex] → D


Related Questions

I need help ASAP please help

Answers

Answer:

Step-by-step explanation:

Y intercept is -3

Slope intercept is up 7 right 3


Name the postulate, if possible, that makes the
triangles congruent.
1.ASA
2.SSS
3.AAS
4.SAS

Answers

Answer:

SAS

Step-by-step explanation:

Last one help please????????

Answers

Answer:

The answer would be 23.

Step-by-step explanation:

All numbers with only two factors are prime numbers.

23 is the only prime number.

21 because one is the missing

Change 50/7 to mixed number: *

Answers

Answer:

7 1/7

Step-by-step explanation:

7x7=49

50-49=1

7 1/7

Answer:

7 1/7

Step-by-step explanation:

Its was a improper fraction

In a shipment of 400 parts, 14 are found to be defective. How many parts out of 1000 would NOT be defective?

Can you please show a proportion I am confused.

Answers

Answer:

965 parts would not be defective.

Step-by-step explanation:

So for every 400 parts, 14 are defective. That means 386 are not defective. 1000 is 2.5 times as many as 400. So multiply 386 by 2.5 to get your answer.

386/1 * 5/2

193/1 * 5/1

965/1

That means for every 1000 parts, 965 would not be defective. The proportion(s) would be 386:400/965:1000 here.

A sofa company offers two deals.

You can get 15% off the full price of £1300 or pay a deposit of £500 plus 6 monthly payments of £112

Show which is the better deal.

Answers

Answer:

The first deal is the better one.

Step-by-step explanation:

first deal: you have to play 1105£ in total.

second deal: you have to pay 1172£ in total.

Answer:

first offer : £1105

Step-by-step explanation:

1300÷0.15=195

so price will be £1105

second offer

£1300-500=800

112X6=£672

800+672=£1472

Angad was thinking of a number. Angad divides by 4, then adds 3 to get an answer of 7. What was the original number?

Answers

Answer:

mh, 7

Step-by-step explanation:

What number could be a value of x which makes the following inequality true? 3x < 15

Answers

Answer:

x < 5

Step-by-step explanation:

3x < 15

divide by 3 on both sides

x < 5

x could equal 1,2,3 or 4!

twice the sum of j and 4?​

Answers

Answer:

4+4=8

Step-by-step explanation:

answer 6 and 7 for brainliest

Answers

where are the questions miss

\begin{aligned} &-x+4y=-9 \\\\ &y=-2x +6 \end{aligned} ​ −x+4y=−9 y=−2x+6 ​ Is (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis a solution of the system?

Answers

Answer:

NO

Step-by-step explanation:

Given the system of equation

-x+4y = -9,... 1

y = -2x+6.... 2

To find the solution to the equation

Substitute equation 2 into 1

-x+4(-2x+6) = -9

-x-8x+24 = -9

-9x= -9-24

-9x = -33

x = 33/9

Find y

y = -2x+6

y = -2(33/9)+6

y = -66/9 + 6

y = -66+54/9

y = -12/9

y = -4/3

Hence (2,3) is not the solution to the system of equation

In the xy-plane, a line segment is dilated by a scale factor of 2. The dilation is centered at a
point not on the line segment. Select from the drop-down menus to make a true statement about the line segment and its image. The like segments are choose, and the length of the image is choose the length of the original line segment

Answers

The line segments are parallel and the length of the image is perpendicular to the length of the original line segment.

Why is the line segment by a scale factor. ?

The line segment is a part of the line and is bounded by the two distinct endpoints. The line segment that represents the x, y plane is dilated by a factor of 2 and this dilation is centered around the point and not a line. Hence are line segment is parallel and perpendicular to the length of the original point shown in the image.

Find out more information about the XY plane.

brainly.com/question/15239648.

Whats the answer for -8x + 4x?

Answers

Answer:

-4x

Step-by-step explanation:

-8x + 4x = -4x

Eric is purchasing Valentine's gifts for all his friends he buys each of his friends either candy bar for 1.50 or stuffed animal for $7 how much money does Eric spend if he purchased 13 candy bars and 4 stuffed animals

Answers

Answer: Will spend $47.50
28$ for the stuffed animals and 19.5$ for the chocolate, you put those two together and you get 47.5$

what is (5,1) reflected on the y axis

Answers

Answer:

(-5 , 1)

Step-by-step explanation:

If you are reflecting over the x-axis, you are changing the sign of the y.

If you are reflecting over the y-axis, you are changing the sign of the x.

In this case, you have the point (5 , 1). You are reflecting over the y-axis, which means that you are flipping the sign of the x value.

(5 , 1) reflected over the y-axis is (-5 , 1)

(-5 , 1)

~

Answer:

5 is how many units on the x axis (the horizontal one) and 1 is how many units on the y axis (the vertical one). So, the correct answer is 1.


What's going to happen to the variables?
6(x + 3) = 6x + 18
6x + 18 = 6x + 18

Answers

18 = 6x + 18 -6x
18 = x + 18
0=x

Solve for x. Show each step of the solution.
0.75 (x + 16) = 3 – 0.5 (x-8)

Answers

Answer:

x= 18.29

Step-by-step explanation:

- distribute then simplify- .75x + 12 = 2.5x - 20

- subtract .75x from each side- 12 = 1.75x - 20

- add 20 on each side- 32 = 1.75x

- divide each side by 1.75x- x= 18.29

not 100% sire if thats correct

[tex]0.75\left(x+16\right)=3-0.5\left(x-8\right)[/tex]

[tex]0.75\left(x+16\right)\cdot \:100=3\cdot \:100-0.5\left(x-8\right)\cdot \:100[/tex]

[tex]75\left(x+16\right)=300-50\left(x-8\right)[/tex]

[tex]75x+1200=-50x+700[/tex]

[tex]5x+1200-1200=-50x+700-1200[/tex]

[tex]75x=-50x-500[/tex]

[tex]75x+50x=-50x-500+50x[/tex]

[tex]125x=-500[/tex]

[tex]\frac{125x}{125}=\frac{-500}{125}[/tex]

[tex]x=-4[/tex]

Hope I helped you!Success!

Five children have heights of 138 cm, 135 cm, 140 cm, 139 cm, and 141 cm. What is the range of their heights?

Answers

Answer:

6 cm

Step-by-step explanation:

Step-by-step explanation:

Highest height = 141 cm

Lowest height = 135 cm

Range of their heights

= 141 - 135

= 6 cm

Hope it will help :)

1x1x24-23plarrgwecfgh

Answers

Answer:

Step-by-step explanation: whats this

√6.76 +5.4=
evaluate

Answers

The answer is 8 hope this helps

5. What is the circumference of a circle that has a radius of 10 cm? use 3.14 for pi

if you get it right i will give tons of points​

Answers

Answer:

radius = 10cm

find circumference of the circle =?

using the formula of the circle = 2pi r

hence

2×3.14×10 =62.8cm

Step-by-step explanation:

Pls mark me brainliest and it would mean a lot me if you could answer my questions in the link too. Thank you :)

https://brainly.com/question/21756641

Answer:

62.8 cm

Step-by-step explanation:

The equation for finding the circumference of a circle is [tex]\pi[/tex]D. To find the diameter of a circle, multiply the radius by 2. Doing this gives you the equation 20[tex]\pi[/tex]. 20 * 3.14 is equivalent 62.8 cm.

Jason jumped 6 2/3 feet in a jumping contest. Yolanda jumped 4 3/4 feet. How much farther did Jason jump than Yolanda?

Answers

Answer:

1 11/12

Step-by-step explanation:

Picture included)

Sorry about my handwriting

23/12 reduces to 1 11/12

Jason jumped farther by 23/ 12 feet.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Yolanda jumped 4 3/4 feet = 19/4 feet

and, Jason jumped 6 2/3 feet in a jumping contest. = 20/3 feet

First take the LCM of 3 and 4

LCM( 3, 4) = 12

Then, Yolanda jumped = 19/4 x 3/3 = 57/ 12

and, Jason jumped = 20/3 x 4/4= 80/ 12

Hence, Jason jumped farther by (80/12 - 57/12)= 23/ 12 feet.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ5

Drag each figure to show if it is similar to the figure shown or why it is not similar.

Answers

It would be the figure that’s 6yd by 18yd because they use the same scale factor (2)

Answer: Shown below (esperdo que esto ayude)

Step-by-step explanation:

Hope this helps :)

Find the value of each variable. Write answers in simplest radical form.

Answers

Answer:

The value of n is 6.

Step-by-step explanation:

Given that these 2 triangles form a square so we can assume that all sides are same. Then, we have to apply Pythagoras Theorem, a² + b² = c², where a, b are sides and c is hypotenuse :

n² + n² = (6√2)²

2n² = 6² × (√2)²

2n² = 72

n² = 72 ÷ 2

n² = 36

n = √36

n = 6

9] A bike is being sold for 78% of its original
price of $85.50. What is the discounted
price?


Answer and show work PLEASE

Answers

Answer:

The new and discounted price is now $66.69

Step-by-step explanation:

Hope this helps :)

CAN YOU READ THIS AND IF YOU CAN HELP ME!!!!! THIS CRAZY ONCE AGAINNNN I NEEDDDD PROFESSIONALLLL!!!!!!!!!!!!!

Answers

pretty sure it’s D. hope this helps!

If given 3 1/2 cups of laundry detergent, list two fractional parts that 3 1/2 could be divided into evenly. How do you know?

Answers

Answer:

3

Step-by-step explanation:

because, 3/2+3/2=6

the answer is divide by 2 that's why the final ans. is 3

it's my view I'm not sure my answers


Given the parallelogram
with the m and m Find the m (8x + 14) (6x + 13)
55

B) 55°
A) 110°
C) 7°
D) 70°

Answers

Answer: 55.

Step-by-step explanation:R = 55. You put all the angles equal to 180 and then get the variable by itself.

This week, 28% of customers ordered the fish entrée. If there were 900 customers this week, how many customers ordered the fish entrée?

Answers

Answer:

252 people

Step-by-step explanation:

There are two ways of solving.

you can use a proportion or an equation.

is=% as a decimal×of

or the proportion

[tex] \frac{is}{of} = \frac{\%}{100} [/tex]

step 1- Identity which is which.

28 is the percent and 900 is the of. we need to find the is.

step 2-

if you use an equation:

is=0.28x900

is=252

252 people ordered fish

you can also use a proportion

[tex] \frac{is}{of} = \frac{\%}{100} [/tex]

[tex] \frac{x}{900} = \frac{28}{100} [/tex]

x is a variable in place of is.

then, we cross cancel.

[tex]900 \times 28 = 100x[/tex]

25200=100x

x=252

The number of customers who ordered the fish entrée this week is 252.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, This week, 28% of customers ordered the fish entrée and there were 900 customers this week.

Let, 'x' be 28% of 900 customers.

Therefore,

28% of 900 is 'x' which is,

= (28/100)×900.

= 252 customers.

Learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Solve for x.
(13x + 12)

Answers

Answer:

=13x+12

Step-by-step explanation:

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