Simplify the following surd expressions
a)
[tex]6 \sqrt{2} - 5 \sqrt{2} [/tex]

b)
[tex] \sqrt 11 + 3 \sqrt{11} [/tex]

Answers

Answer 1

Answer:

A) [tex]\sqrt{2}[/tex]

B) [tex]4\sqrt{11}[/tex]

Step-by-step explanation:

A) You can add these expression because they contain the same square root:

[tex]6\sqrt{2} - 5\sqrt{2} = (6 - 5)\sqrt{2} =\sqrt{2}[/tex]

B) Same as above:

[tex]\sqrt{11} + 3\sqrt{11} = (1 + 3)\sqrt{11} = 4\sqrt{11}[/tex]

Answer 2

Answer:

[tex]A) \: 6 \sqrt{2} - 5 \sqrt{2} = (6 - 5) \sqrt{2} = \sqrt{2} \\ [/tex]

√2 is the right answer.

[tex]B) \sqrt{11} + 3 \sqrt{11} = (1 + 3) \sqrt{11} = 4 \sqrt{11} [/tex]

4√11 is the right answer.

Related Questions

the original price of a sweater is $36 the sale price is 25% of the original price what is the sale price

Answers

Answer: 9 dollars

Step-by-step explanation: 36-25%=9

Answer:

$5.40 is your answer

Evaluate (5 + 2) to the power of 2 - 40 + 3 =

Answers

Answer:

12

Step-by-step explanation:

(5+2)^2 - 40 + 3

= 7^2 - 40 + 3

= 49 - 40 + 3

= 49 - 40

= 9+3

= 12

The Quick Ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces. C(w) 0.45w 0.35w + 1.6 if 0 < W 16 Which statement about the shipping rate is true?

A.it is possible that an item weighing less then 16 ounces could cost the same as an item weighing more than 16 ounces

B. to find the charge for shipping a package weighing more than 16 ounces, multiply the weight by $.035.

C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate

D. if the weight is greater than 16 ounces,the shipping rate is $.0.35 per ounce, plus $1.60​

Answers

c if i’m not mistaken

2. Draw a right triangle with side lengths of 6 centimeters, 8 centimeters,
and 10 centimeters, using a protractor to ensure that one angle is exactly
90°. Now make and cut out three squares; one with 6-centimeter long
sides, one with 8-centimeter long sides, and one with 10 centimeter long
sides. Place each square next to the corresponding sides of the triangle,
Which side is the hypotenuse in your diagram?

Answers

Answer:

the ten-inch side is the hypotenuse.

Step-by-step explanation:

[tex]a^{2}+ b^{2} =c^{2}[/tex]

a= 6

b= 8

c= 10

use substitution to replace the variables in the equation, it should look like this:

36+64=100

the equation above is true, so the answer is that the 10-inch side is the hypotenuse.

*** I couldn't make a diagram on here, so I explained the math. hope this helps

How could a company use a line graph to make it appear as though they had a larger profit?

Answers

Answer:

The “classic” types of misleading graphs include cases where: The Vertical scale is too big or too small, or skips numbers, or doesn't start at zero. The graph isn't labeled properly. Data is left out.

Solve the system using elimination:
3x + 2y = 9
x + y = 4


Answers

Step-by-step explanation:

a) (1,3)

I think it is correct answer

HELP ASAP
Solve for x: |2x + 12| =18
Is it
A X=3, X m -3
B X3, x =-15
C X=15, x =-15
D x-3, X- 15

Answers

X=3,X=-15 so the right answer is option B

the ratio between the number of vowels and consonants letters of word ALERT is

Answers

vowels:consonants
2:3

The number of turtles in a lake increased by 20% between last year and this
year. Last year there were 110 turtles in the lake. What is the population
this year?

A. 88 turtles
B. 90 turtles
C. 132 turtles
D. 138 turtles

Answers

Answer: A. 88 turtles

To find this, multiple 110 x .80
This is easier than multiplying 110 by .20 because you don’t have to subtract.
110 x .80 = 88

A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long. Work out the length of the path

Answers

Answer:

d = 18.02 m

Step-by-step explanation:

Given that,

A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long.

We need to find the length of the path.

The diagonal of a rectangle can be calculated as follows :

[tex]d=\sqrt{10^2+15^2} \\\\d=18.02\ m[/tex]

So, the length of the path is 18.02 m.

HELPP MEE PLEASEEEEEE

Answers

Answer:

wouldn't it be 5m....??

Non factorable with rational numbers

Alonzo will rent a car for the weekend. He can choose one of two planes. The first plan has an initial fee of $38 and cost an additional $.12 per mile driven the second plan has an initial fee of $49 in cost an additional seven cents per mile driven. What amount of drive into the two plans cost the same? What is the cost when the two plans cost the same?

Answers

Answer:

in 220 miles both plans will cost the same

Step-by-step explanation:

38 + .12m = 49 + .07m

38 + .05m = 49

.05m = 11

m = 11/.05

Classify this triangle by its sides and angles.
-right and scalene-
-right and isosceles-
-acute and isosceles-
-acute and scalene-

Answers

Acute and isosceles

I need help with this problem!

Answers

Answer:

104

Step-by-step explanation:

100%= 1.00

so

420%= 4.20

Multiply 4.20×20

84

now add the original 20

104. She has 104 boxes in total.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

104

Step-by-step explanation:

20 + (20*4) + (20*0.2)

= 20 + 80 + 4

= 104

A company makes 140 bags.
21 of the bags have buttons but no zips.
25 of the bags have zips but no buttons.
45 of the bags have neither zips nor buttons.
How many bags have zips on them?

Answers

25 bags have zips on them

A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object. The total number of bags that have both zips and buttons is 49.

What is a set?

A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

Given that A company makes 140 bags. 21 of the bags have buttons but no zips. 25 of the bags have zips but no buttons. 45 of the bags have neither zips nor buttons.

Now, we can write the following things about the given condition,

Total number of bags, s = 140

Bags with Only zips, only Z = 25

Bags with only buttons, only B = 21

Bags with neither or them, Z'∩B' = 45

Now, the total number of bags that have both of them is,

Z∩B = s - only Z - only B - Z'∩B'

        = 140 - 25 - 21 - 45

        = 49

Hence, the total number of bags that have both zips and buttons is 49.

Learn more about Set:

https://brainly.com/question/8053622

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Which graph has a slope of 4/5?

Answers

Answer:

remake question and comment on this answer. don't forget the pictures of the graphs!

Name the line of reflection.

Answers

Answer:

y=0

Step-by-step explanation:

I think the answer is X=1 but I am not for sure! Hope I helped!:)


Sara wants to save 20% of the $150 she received for her birthday. How much money does Sara want to save?

Answers

Answer:

$30

Step-by-step explanation:

10 % of 150 is 15

20% is 30

hope this helps...

Answer:

30$

Step-by-step explanation:

To find 20% of 150$ you have to first make 20% a decimal and then multiply by 150$.

To do this:

150 (0.2) = 30

Please help I know it isn't 12 so please don't answer with 12.

Answers

I see do picture so unfortunately I cannot help you


What does the diagram at the left tell us about the two
triangles? Your answer should include the name of a
specific type of transformation.

Answers

Answer:

Its enlargement

Step-by-step explanation:

Its enlargement!

hope it helps

Find the slope. ASAP

AB contains A(3,-2) and B(-5,-4)

1. 1/3
2. 3
3. 1/4
4. 4

Answers

The answer is number 4

Solve: 40 + -58
Please help!

Answers

Answer:

-18

Step-by-step explanation:

because you take 40 + -58 and you can make the positive and negative sign a negative so now it would be 40-58

if you reverse it to make it 58-40 you would get 18 and then reverse it back to negative because you reversed it once so now its -18

I neeeeeeddddd helppppppppppppppp

is this right?

Answers

Answer:

no the answer is 7.....

Answer:7

Step-by-step explanation:

27 divided by 3 is 9.

so

21 divided by 3 will give u the answer which is 7.

The minute hand of a clock is 6 inches long. How far does the tip of the minute hand move in 15 minutes? How far does it move in 25 minutes?

Answers

Answer:

Step-by-step explanation:

angle subtended at center in 15 minutes=360÷60×15=90°=π/4

distance traveled by minute hand=2πr/4=πr/2=6π/2=3π inches≈9.42 inches

distance travelled by minute hand in 25 minutes=2πr×25/60=50πr/60=5/6πr

≈5/6 π×6=5π inches ≈15.71 inches

Drake spent $540 on books. Math books cost $60 and science books cost $80. If he bought a total of 8 books, how many of each kind did he buy?

Answers

Answer:

He bought 4 in total

System of equations
(m + s = 8)60
60m + 80s = 540
60m + 60s = 480
20s = 60, s = 3
m + 3 = 8, m = 5
Solution: he brought 3 science and 5 math books

Which model represents 2.36 ÷ 4? A. Three groups of three tenths and four hundredths B. Three groups of five tenths and nine hundredths C. Four groups of three tenths and six hundredths D. Five groups of five tenths and nine hundredths

Answers

Answer:

Five groups of five tenths and nine hundredths

Step-by-step explanation:

Mathematically;

2.36 divided by 4 = 0.59

So we want to select from the options, the best representation of this

That will be

0.5 + 0.09

so our answer is 5 groups of five tents and nine hundredths

The model which represents 2.36 ÷ 4 is; Choice D: Five groups of five tenths and nine hundredths

We must perform the division 2.36 ÷ 4 first so that we have;

2.36 ÷ 4 = 0.59

The result, 0.59 can then be written in words as; Five tenths and 9 Hundredths.

Ultimately, the model. which represents the expression 2.36 ÷ 4 is; Choice D: Five groups of five tenths and nine hundredths.

Read more on place value:

https://brainly.com/question/18838031

CAN SOMEONE PLEASE HELP ASAP

Answers

Answer:

See photo

Step-by-step explanation:

How many 1/2's are in 3 1/2? *

Answers

Answer:

Step-by-step explanation:

7

Answer:

7

Step-by-step explanation:

3.5 divided by .5

) Kadence has $50 in her bank account. Then, she bought a new shirt that cost $33. She then deposited x dollars into her account to bring her balance to $28. What is the value of x?

Answers

Answer:

The value of X is $5

Step-by-step explanation:

Step-by-step explanation:

We have $50 - $33 + $x = $28.

=> $17 + $x = $28

=> $x = $11

Therefore Kadence deposited $11 into her account.

The value of x is 11.

36 flowers in 4 vases = flowers per vase?

Answers

The correct answer should be 9

Answer:

9 flowers per vase

Step-by-step explanation:

36 divided by 4 is 9

can i get brainliest plz

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