Simplify four square root 2+7 square root 2-3 square root two

Answers

Answer 1

Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

4[tex]\sqrt{2}[/tex] + 7[tex]\sqrt{2}[/tex] - 3[tex]\sqrt{2}[/tex]

Factor out [tex]\sqrt{2}[/tex] from each term

= [tex]\sqrt{2}[/tex](4 + 7 - 3) = 8[tex]\sqrt{2}[/tex]


Related Questions


The supermarket is advertising double coupons up to $1.25 this Friday only. Which coupon can be doubled?
$1.30 off shaving cream
$1.20 off dog food
$2.25 off body wash
$1.50 off markers

Answers

Answer:

1.20 off dog food

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The coupon that can be doubled is $1.25. The correct option is B.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given that the supermarket is advertising double coupons up to $1.25. Therefore, every coupon that has a value less than or equal to $1.25 will be doubled. Therefore, we can write the inequalities as,

x ≤ $1.25

Now, if we look at the given options then the only option that is less than $1.25 is the coupon for dog food.

1.20 < 1.25

Hence, the coupon that can be doubled is $1.25.

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How would I solve 2/3+3n/5=13/15

Answers

well, one way to go about it is, to do away with the denominators by using the LCD of all fractions, hmmm let's see, we have denominators of 3,5 and 15, so the LCD will just be 15.

now let's multiply both sides by the LCD of 15 to do away with the denominators,

[tex]\bf \cfrac{2}{3}+\cfrac{3n}{5}=\cfrac{13}{15}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{2}{3}+\cfrac{3n}{5} \right)=15\left( \cfrac{13}{15} \right)}\implies 10+9n=13 \\\\\\ 9n=3\implies n=\cfrac{3}{9}\implies n = \cfrac{1}{3}[/tex]

What percent of 120 is 42? A. 35% B. 28.6% C. 4.2% D. 33%


i need a step by step explanation

Answers

Answer:

A. 35%

Step-by-step explanation:

You can write 42 of 120 as a fraction ---> 42/120

If you simplify you get 7/20.

7/20 can also be written as 35/100, so the percentage would be 35%.

Answer:

A. 35% BRAINLIEST WOULD BE APPRECIATED!

Step-by-step explanation:

Do guess and check. Start with A.

120*0.35=42 ~ that works! check the others to be sure.

120*0.286=34.272 ~ nope!

120*0.042=don't even need to do it, unreasonable.

120*.33=39.6 ~ nope!

It takes 687 Earth days for the planet Mars to revolve around the sun once. How many Earth days does it take Mars to revolve around the sun four times

Answers

Answer:

2748 days

Step-by-step explanation:

687 days * 4 revolves = 2748

2748 earth days.

What are the steps of simplification?

Expressions included in parentheses, brackets, braces, and fraction bars should be made simpler. Analyze each power. Divide and multiply all numbers from left to right. Make sure to add and subtract all numbers from left to right. last but not least, use any method. BODMAS or PEMDAS.

Given, It takes 687 Earth days for the planet Mars to revolve around the sun once.

Earth days does it take Mars to revolve around the sun four times = 4 *687

Therefore, 2748 Earth days take Mars to revolve around the sun four times.

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A carpenter finds that if she charges p dollars for a chair, she sells 600 – 3p of them each year.

How much should she charge to maximize her annual revenue?

Answers

Answer:

p=$100

Step-by-step explanation:

Let

y -----> annual revenue

p ----> the charge in dollars for a chair

we know that

The revenue is equal to the number of chairs multiplied by the charge for one chair

so

[tex]y=(600-3p)p[/tex]

[tex]y=600p-3p^2[/tex]

This is the equation of a vertical parabola open downward.

The vertex is a maximum

using a graphing tool

The vertex is the point (100,30,000)

That means

The maximum revenue is y=$30,000

when the carpenter charge $100 for a chair

The revenue is maximum when a fee of $100 is charged per chair.

Equation

An equation is an expression used to show the relationship between two or more variables and numbers.

Revenue is the product of the price per item and the total number of items.

Hence:

Revenue (R) = Price * number of item

R = p * 600 - 3o

R = 600p - 3p²

Maximum revenue is at R' = 0:

R' = 600 - 6p

6p = 600

p = 100

The revenue is maximum when a fee of $100 is charged per chair.

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The length of a rectangle is 4.5 meters. The perimeter is 15.6 meters. What is the width?

Answers

Answer:

The width is 3.3 meters

Step-by-step explanation:

The perimeter of a rectangle is 2L + 2W. L is 4.5.

P = 2L + 2W

15.6 = 4.5 * 2 + 2W

15.6 = 9 + 2W

6.6 = 2W

3.3 = W

is 136 a perfect square

Answers

Answer:

No, because there is no whole number that when multipled by itself gives 136

Step-by-step explanation:

11² = 11 · 11 = 121 < 136

12² = 12 · 12 = 144 > 136

Write the equation of the line in slope-intercept form.
m = 2/9, y-intercept (0,5)
The equation of the line in slope-intercept form is

Answers

Step-by-step explanation:

Given :- y intercept = ( 0 , 5 ) i.e, the line cuts y axis at 5

and , slope of the line ( m ) = 2/9

Slope intercept form of the equation is

y = mx + c

Where , m is slope of the line

and c is y intercept !!

[tex]y = \frac{2}{9} x + 5 \\ \\ because \: c \: = 5[/tex]

Suppose you are driving to visit a friend in another state you are driving at an average rate of 50 mph you must drive a total of 480 miles if you have already driven 130 miles how long would it take you to reach your destination?

Answers

Answer:

300 more miles

Step-by-step explanation:

because its easy NO OFFENSE SERIOULSY

1. In triangle ABC, the measure of angle A is 40°.
a. Give possible measures for angles B and C if triangle ABC is isosceles.

Answers

Answer:

Angles B and C are 70 degrees.

Step-by-step explanation:

The sum of three angles of a triangle is 180 degrees.

Of these angle A in triangle ABC is given as 40 degrees.

Another input is that the triangle is isosceles. This means that AB=AC or in other words, angle B and angle C are equal.

Let the angle B or angle C be represented as x degrees.

Representing this in equation format:

A + B + C = 180

=> 40 + x + x = 180

=> 2x = 180 - 40 = 140

=> x = 140/2 = 70

So both the angles B and C are 70 degrees.

If triangle ABC is isosceles, then angles B and C both measure 70°.

We have,

In an isosceles triangle, two angles are congruent (they have the same measure). If angle A is 40°, and triangle ABC is isosceles, then angles B and C must each measure:

B = C = (180° - 40°) / 2

= 140° / 2

= 70°

So, if triangle ABC is isosceles, both angles B and C would measure 70°.

Thus,

If triangle ABC is isosceles, then angles B and C both measure 70°.

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x/5 -8=4 find the value of x

Answers

Answer:

x=60

Step-by-step explanation:

I'm assuming you meant this: (x/5)-8=4

In which case you would add 8 to both sides to get rid of the 8 on the left (your goal is to get x by itself so you want to move the numbers on the x side to the other side of the equal sign)

(x/5)=12

Then you would multiply 5 on both sides to get rid of the fraction with the 5 on the bottom on the left side.

x=60

There's your answer.

Pedro planted 15 plants in his garden is 45 minutes. How long did it take him to plant 5 plants?

Answers

15 because 15x3 is 45, 5 x 3 is 15, and 15 is 1/3 of the time

classification for square root 2

Answers

Answer: It is irrational because it cannot be written as a ratio of two integers. It is not a perfect square

Step-by-step explanation:

During November, sales are
at their peak. The store
manager must work 40
hours that week. How much
Will the manager earn?

Answers

Answer:it depends how much he is earning

Mrs. Zhang’s bee farm has a population that is about 1 tenth as large as Mrs. Acquino’s bee farm. If Mrs. Zhang’s bee population is about 48,000, about how many bees does Mrs. Acquino have?

Help me please i will give u 20 points

Answers

Mrs. Zhang's is 1/10 the size of Mrs. Acquino's.

Since you know Mrs Zhang's, divide the amount she has by the fraction of hers.

48,000 / 1/10

When you divide by a fraction, reverse the fraction and multiply:

48,000 x 10/1 =

48000 x 10 = 480,000 bees.

To estimate Mrs. Aquino's bee population, multiply Mrs. Zhang's bee population, which is 48,000, by 10. Mrs. Acquino has approximately 480,000 bees on her farm.

Since Mrs. Zhang’s bee population is 48,000 and her farm is said to be 1 tenth as large as Mrs. Acquino’s, to find the population of Mrs. Aquino's bees, we need to multiply Mrs. Zhang’s bee population by 10. Performing the calculation:

48,000 × 10 = 480,000

So, Mrs. Aquino's bee farm has approximately 480,000 bees.

−4 4/5 ÷ 4

A. -1 1/5

B. -4/5

C. 4/5

D. 1 1/5

Answers

Answer:

A. -1⅕

Step-by-step explanation:

[tex]-4\frac{4}{5}\div 4 = -4,8\div 4 = -1,2 = -1 \frac{1}{5} [/tex]

I am joyous to assist you anytime.

I am a 2-digit number. The sum of my digits is 11. I am divisible by both 4 and 7

Answers

Answer:

56 or 84

Step-by-step explanation:

Answer:

It's 56

Step-by-step explanation:

We have 2 digit number the sum of digits is 11  and it is divisible by 4 and 7 so, first possibility is 4×7=28 ; but the sum of digits is 11; so,the sum of                digits is 2+8=10 which does not satisfies the first constraint next possible 2 digit number is 56: since the sum of digits is 5+6=11, 56 ÷ 7 = 8 , 56 ÷ 4 = 9

A vector has an x-component equal to 0.15 and a y-component is equal to 1.22 calculate the vectors direction relative to the positive x-axis

Answers

Answer:

The vector direction is 83.0° relative to the positive x-axis

Step-by-step explanation:

* Lets explain how to find the direction of a vector

- A vector is a quantity which has both magnitude and direction

- The vector has two components x-component and y-component

- The x-component = v cos Ф , and the y-component = v sin Ф,

  where Ф is the angle between the vector and the positive part

  of the x-axis

- The magnitude of the vector = [tex]\sqrt{x^{2}+y^{2}}[/tex]

- The direction of the vector = [tex]tan^{-1}(\frac{y}{x})[/tex]

* Lets solve the problem

x-component of the vector = 0.15

y-component of the vector = 1.22

- Both x-component and y-component are positive

∴ Ф will be between 0° and 90°

∵ The direction of the vector = [tex]tan^{-1}(\frac{y}{x})[/tex]

∴ The direction of the vector = [tex]tan^{-1}(\frac{1.22}{0.15})[/tex]

∴ The direction of the vector = 83.0°

* The vector direction is 83.0° relative to the positive x-axis

WILL MARK BRAINLIEST!!!
The graph of the function f(x) is shown below.
What is x when f(x)=0?

A. -1.8
B. -1.2
C. 0
D. 5

Answers

Answer:

D5 is the answer im pretty sure

Step-by-step explanation:

Answer:

The answer is D (5)

Step-by-step explanation:

I just took the test and got it right

Hopefully this helps you

pls mark brainlest

Marta gasto $60 en la compra de cuadernos iguales si cada cuaderno hubiera costado $2 más Marta hubiera adquirido 80 cuadernos menos por los mismos $60 ¿Cuántos cuadernos compró Marta?

Answers

Answer:

[tex]103\ notebooks[/tex]

Step-by-step explanation:

The question in English is

Martha spent $60 to buy the same notebooks if each notebook had cost $2 plus Martha would have bought 80 fewer notebooks for the same $60. How many notebooks did Martha buy?

Let

x -----> the cost of each notebook

n -----> number of notebooks that Marta bought  

we know that

[tex]nx=60[/tex] -----> [tex]n=\frac{60}{x}[/tex] -----> equation A  

[tex](n-80)(x+2)=60\\\\nx+2n-80x-160=60\\\\n(x+2)-80x=220 ---> equation\ B[/tex]

substitute equation A in equation B and solve for x

[tex]\frac{60}{x}(x+2)-80x=220[/tex]

Multiply by x both sides to remove the fraction

[tex]60(x+2)-80x^2=220x[/tex]

[tex]60x+120-80x^2=220x[/tex]

[tex]-80x^2-160x+120=0[/tex]

Using a graphing tool

Solve the quadratic equation

The solution is

x=$0.581

see the attached figure

Find the value of n

[tex]n=\frac{60}{0.581}=103\ notebooks[/tex]

Dan gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many cola bottles as smarties. He also picks twice as many marshmallows as smarties. What proportion of the bag of sweets are smarties?
Give your answer in its simplest form.

Answers

Answer:

1/6

Step-by-step explanation:

Let

c-----> the number of cola bottles that Dan picks

s ----> the number of smarties that Dan picks

m ---> the number of marshmallows that Dan picks

we know that

c=3s ----> equation A

m=2s ---> equation B

we know that

To find out the proportion of the bag of sweets that are smarties, divide the number of smarties by the total of sweets

The total of sweets is equal to

(c+s+m)

substitute equation A and equation B in the total of sweets

(3s+s+2s) =6s

Find the proportion

s/6s

Simplify

1/6

Final answer:

The proportion of smarties in Dan's bag of sweets, in its simplest form, is 1/6.

Explanation:

To solve the question about what proportion of the bag of sweets are smarties, let's assume Dan picks x number of smarties. Following the information provided, he picks 3 times as many cola bottles as smarties, which is 3x, and twice as many marshmallows as smarties, which is 2x. The total number of sweets in the bag is the sum of smarties, cola bottles, and marshmallows, which amounts to x + 3x + 2x = 6x. The proportion of smarties in the bag is the number of smarties divided by the total number of sweets, so we get:

Proportion of smarties = Number of smarties / Total number of sweets = x / 6x = 1/6.

The proportion of smarties in the simplest form is 1/6.

Ten less than a number is three more than six times the number

Answers

Answer:

x-10=6x+3

Step-by-step explanation:

Okay, Is means equals. I used x as the unknown number. 10 less than a number means x-10. Squishing a variable and constant ( x and 6) together means multiplication (Constant always going before the variable) It's three more than six times the number, so it's six times the number plus three.

Hope I helped :)

the expression for determining the number of distinct subsets for a set with n distinct elements is

Answers

Answer:

The expression for determining the number of distinct subsets for a set with n distinct elements is 2^n (2 raise to the power n).

Step-by-step explanation:

The expression for determining the number of distinct subsets for a set with n distinct elements is 2^n (2 raise to the power n).

If a set has 0 elements then it has 1 subset which is a null set (2^0=1)

if a set has 1 element then it has 2 subsets. One is a null set and the other one would be itself (2^1 = 1).

Like wise if a set has 5 elements then it has 32 subsets (2^5 = 32)

Lets solve an example. We have a set A and we have to find the subsets of set A.

A = {1,2,}

2^n = 2^2 = 4

It means that the number of  all the possible subsets = 4

{0},{1},{2},{1,2}....

In this exercise we have to have knowledge of sets and subsets to find the value of the unknown, like this:

[tex]2^n = 2^2=4[/tex]

So we have to remember some ideas about sets like:

The expression for determining the number of distinct subsets for a set with n distinct elements is 2^n (2 raise to the power n). for exemple:

[tex]2^0=1\\2^1 = 1\\2^5 = 32[/tex]

We have a set A and we have to find the subsets of set A, so that is :

[tex]A = {1,2,}\\2^n = 2^2 = 4\\A= {0},{1},{2},{1,2}....[/tex]

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Line segment Z E is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the angle bisector of AngleYGZ and the perpendicular bisector of Line segment E F. Line segment F Y is the angle bisector of AngleZFX and the perpendicular bisector of Line segment E G. Point A is the intersection of Line segment E Z, Line segment G X, and Line segment F Y. Triangle G E F has angles with different measures. Point A is at the center. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Z, and A Y. Which must be true? Please Hurry I don't have a lot of time to finsh my test!

Answers

Answer:

C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

Step-by-step explanation:

The center of insribed circle into the triangle is the point where the angle bisectors of the triangle meet.

The center of circumsribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.

Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides, so the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle. Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

Answer:

c

Step-by-step explanation:

How do you write 549,867 in expanded form?

Answers

In expanded form, 549,867 would be written like this: 500,000 + 40,000 + 9,000 + 800 + 60 + 7. This is how it is supposed to be.

Hope this helped!

Nate

Answer:

(5x100,000) + (4 x 10,000) + (9 x 1,000) + (8 x 100) + (6 x 10) + (7 x 1)

Step-by-step explanation:

multiply the number by the place value.

whats 67/8 simplified

Answers

Answer:

8 3/8

Step-by-step explanation:

Answer:

8.375 or  8 3/8

Is -2.75 greater than or less than -2.5

Answers

Answer:

Less because they are negative

Step-by-step explanation:

The number-2.75 is less than the number -2.5.

What is a number system?

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

Given numbers are -2.75 and -2.5.

The number -2.75 is less than the number -2.5. For the negative integers the number with a higher magnitude but having a negative sign is lesser than the number with a small magnitude with a negative sign.

Therefore, the number-2.75 is less than the number -2.5.

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Pencils cost $0.24 each , and pens cost $.79 each. Mrs. Trevino bought 6 pencils and 5 pens. How much did she pay for the pencils and pens in dollars and cents?

Answers

Answer:

$5.39

Step-by-step explanation:

5 x .79 = 3.95

6 x .24 = 1.44

3.95 + 1.44 = 5.39

Answer:

For the pencils, she paid: $1.44

For the pens, she paid: $3.95

Step-by-step explanation:

Pencils cost $0.24each.

Pens cost $0.79 each.

Mrs. Trevino bought 6 pencils and 5 pens.

For the pencils, she paid: 6 × $0.24 = $1.44

For the pens, she paid: 5 × $0.79 = $3.95

I don't understand how to find slope, can someone help me with the problems circled in blue? Thanks!
(show your work please)

Answers

the equation to find any slope given two points is (y1-y2)/(x1-x2)

given this equation, the slope of problem 24 would be (6-3)/(-1-4) or (3-6)/(4+1) which is equal to -3/5,

depending on which point you call (x1,y1) and (x2,y2)

calling either of the points 1 or 2 will still result in the same slope

Which of the following would be a good name for the function that takes the weight of a box and returns the energy needed to lift it ?

Answers

Answer:

B

In a function, f(x), there are two parts:

x: the input value

f: the output value

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