(2+√3)+(4-√3)
[tex] [/tex]

Answers

Answer 1

Explanation :

________________________________

Given:

(2+√3)+(4-√3)

To Find:

Evaluate the expression

Solution:

Step 1:

Remove the parentheses

(2+√3)+(4-√3)

When there is + or no sign in front of an expression in parentheses, the expression remains the same

= 2 + √3+ 4-√3

Step 2:

Cancel the opposite terms √3 and -√3

"Two numbers are opposites if they have the same absolute value but different signs"

= 2 + 4

Step 3:

Add the numbers

= 6

Hence (2+√3)+(4-√3) = 6.


Related Questions

Order the following fractions from least to greatest: 11/5, 6/5, 1/5

Answers

Answer: 1/5, 6/5, 11/5.

Step-by-step explanation:

1/5 is the smallest, as it isnt even 1 whole! (5/5)

6/5 = 1 1/5.

11/5 = 2 1/5, so its the greatest

Can someone explain how you do fractions like adding them? And what rules they have to find the answer?

Answers

Answer:

Hope this image helps you. (sorry if it's tiny writing.)

Step-by-step explanation:

Does anyone know the answer please help!!

Answers

the correct answer is x= 94

Find the sum. 2/5(d-10)-2/3(d+6)

Answers

Answer:

-4d

Step-by-step explanation:

L.c.m=15

15×2/5(d-10)-2/3×15(d+6)

3×2(d-10)-2×5(d+6)

6(d-10)-10(d+6)

6d-60-10d-60

6d-10d-60-60

-4d-0

-4d

Need help I can’t fail this assignment. Answer asap!

Answers

Answer:

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes

6x + 5y = 10

5y = -6x + 10

y = (-6/5)x + 2

so a perpendicular line has slope 5/6

y = (5/6)x + b

plug in our desired point

3 = (5/6)6 + b

b = -2

y = (5/6)x - 2

I might be able to help you pass this assignment, but better learn it yourself as I cannot assure you will pass the class.

One of those "Win the battle but lose the war" type situations.

Find the missing side in the similar figures below

Answers

Answer:

e

Step-by-step explanation:

24*5/3=40

The answer would be E. Trust me on this one

Kevin and Randy Muise have a jar containing 80 ​coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$11.80. How many of each type of coin do they​ have?

Answers

Answer:

39 quarters and 41 nickels

Step-by-step explanation:

Let the number of quarters be x and nickels be y.

Given:

Quarter is 25 centsNickel is 5 centsNumber of coins is 80Total amount is $11.80 = 1180 cents

We have equations:

x + y = 8025x + 5y = 1180

Solve the system by elimination, subtract 5 times the first equation from the second one:

25x + 5y - 5x - 5y = 1180 - 80*520x = 780x = 780/20x = 39

Find the value of y:

39 + y = 80y = 80 - 39y = 41

Verify:

25*39 + 5*41 = 975 + 205 = 1180

At a certain shirt factory, 6 buttons are used on each shirt. If a box containing 120 buttons costs $7, determine the cost for the number of buttons needed for 680 shirts​

Answers

Answer: $238

Step-by-step explanation:

120/6 = 20 shirts for $7

680 / 20 = 34 lots of shirts costing $7

the cost = 34 x 7 = $238

Answer:

238$

Step-by-step explanation:

680*6=4080

this is how many buttons used

4080/120=34

this is how many boxes of buttons

34*7=238

this is the amount

simplify 8+2(5-×) thanks​

Answers

Answer:

=8+2(5-x)

=8+10-2x

=18-2x

Answer:

hey am

I think that's be the answer

if you think it's not right

don't write

If 6 pounds of apples cost $4.80 what is the cost per 9 pounds

Answers

Answer:

Cost of 1 pound apple:4.80/6=2.4

cost of 9 pounds apple:2.4 ×9=21.6

You have to do unit price so for one apple it is $0.80 then do .80x9 which equals $7.20

6. Gloria has 7 yellow pencils. She has 9 red pencils. Which strategy
would NOT help you find 9 -
- 7?
A Make 10
(B
Think Addition
Count to Subtract
My Way

Answers

The strategy that won't help her to calculate 9 - 7 is (a) Make 10

The given parameters are:

[tex]Yellow = 7[/tex]

[tex]Red = 9[/tex]

To determine 9 - 7,

She can use addition, as in 9 + (-7)She can subtract directly by counting

However, she cannot make 10.

This is so, because 9 and 7 are not up to 10

Hence, the strategy that won't help her to calculate 9 - 7 is (a)

Read more about subtraction at:

https://brainly.com/question/4700137

if a + b equal to pi by 4 then prove that 1 + cot a into 1 + cot B equal to 2 into cot a into cot b​

Answers

Answer:

(cotA − 1) (cotB − 1) = 2

Step-by-step explanation:

A+B= π/4 = 180°/4 = 45°

A+B=45°

∴ cot(A+B)=cot45°

∴ cotBcotA−1 / (cotB+cotA) = 1

⇒cotB + cotA = cotBcotA = 1

⇒cotB + cotA − cotBcotA + 1 = 0

⇒cotBcotA − cotB − cotA − 1 = 0

⇒cotBcotA − cotB − cotA − 1 + 2 = 0+2

⇒cotBcotA − cotB − cotA + 1 = 2

⇒cotB(cotA − 1) (cotA − 1) = 2

⇒(cotA − 1) (cotB − 1) = 2

Proved

Clara is making a pennant. She attaches a rectangle that is 1 inch wide and 6 inches long to a triangle that has a base of 6 inches and a height of 28 inches. What is the area of the
pennant?

Answers

The area of the pennant made by Clara is 90 in²

Area

Area is the amount of space taken up by a two dimensional figure. It measures the quantity of space covered by the figure.

Area of the rectangle = length * width = 6 in * 1 in = 6 in²

Area of triangle = (1/2) * base * height = (1/2) * 6 in * 28 in = 84 in²

Area of the pennant = 6 in² + 84 in² = 90 in²

The area of the pennant made by Clara is 90 in²

Find out more on Area at: https://brainly.com/question/25292087

Answer:

90in^2

Step-by-step explanation:

Area of the rectangle = length times width = 6 x1 = 6 in^2

then the Area of triangle = 1/2 base times height = (1/2) x 6 x 28= 84 in^2

and the Area of the pennant is = 6 + 84 = 90 in

Step-by-step explanation:

What is the percent decrease from 95 to 68 round to the nearest percent

Answers

The decrease is  (95-68) = 27 .

As a fraction, the decrease is  27/95  of the original amount.

To change any fraction to a decimal, do the division:

                            (27)  divided by  (95) = 0.2842...

To change any decimal to a percentage, move the

decimal point two places that ==> way:

                            0.2842...  =  28.42... %Answer:

Step-by-step explanation:

[tex]\qquad[/tex]☀️ At first we need to find out the difference between 95 and 68.

[tex]\qquad[/tex][tex] \sf \longrightarrow 68 -95 \\[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow -27[/tex]

[tex]\qquad[/tex]☀️ Now, divide the number by "the starting number.

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{-27 }{97}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842[/tex]

[tex]\qquad[/tex]☀️ And finally, we have to multiply the result by 100 to get it in terms of percent.

[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842 \times 100[/tex]

[tex]\qquad[/tex][tex] \red{\bf \longrightarrow -28.42℅}[/tex]

Hence, The answer will be -28.42℅

[tex]\qquad[/tex]_________________________

No clue if someone can explain

Answers

Answer:

your trying to find out how much each cookie cost

from looking at this we can see that 2 cookies is 1 dollar so each cookie is 50 cents

Hope This Helps!!!

Can someone help me plssssssssss

Answers

I think the answer is C.

It’s saying is 5 times the original number. 200/5=40

IF YOU GET THIS RIGHT YOU GET BRAINLIEST
Tasha has a collection of trading cards. the collection contains 70 cards. she gives 25 of her cards to her friend brad. she gives 10% of her cards to her nephew, she sells 25 cards online. how many cards remain in Tasha's trading card collection

Answers

Answer:

13

Step-by-step explanation:

25 x 2 = 50. 10% of 70 equals 7. 50 + 7 =  57. 70 - 57 = 13.

Cards given to her friend brad + cards sold online = cards givin

25+25=50

Amount of cards + cards givin = amount left

70-50=20

10% of 20=2

20-2=18

Tasha has 18 left

Hope this helps

A price was decreased by 12%. Then it was increased by an additional 5%. What is the percent of the total decrease?

Answers

Answer:

7.6%

Step-by-step explanation:

First the decrease

(100-12)%=88%

then the increase

(88)(1.05)=92.4%

The total decrease

(100-92.4)% = 7.6%

Hope this helps

Solve for equation for x: 5x^2 – 10x – 6 = 0

Answers

Correct me if im wrong po

the graph shows data relating sodium per serving and price per serving of different brands of peanut butter, Using this model, predict the amount of sodium in Peanut Butter that costs $.35 per serving.

Answers

A linear model that best fits the overall pattern of points is given by the

regression line of the data.

a. Please find attached the graph showing the linear model of the scatter plot created with MS Excel.

b. The slope of the line is -6.2173.

c. The relationship is as the price per Serving increases by 1 cent, the sodium per Serving decreases by -6.2173 mg.

Reasons:

a. Points on the graph are;

(6, 218),

The slope, b, regression line equation is given by the following formula;

[tex]b = \mathbf{\dfrac{\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right) }{\sum \left(x_i - \overline x\right )^2 }}[/tex]

The regression line equation is; [tex]\overline y = b \cdot \overline x + a[/tex]

Where;

[tex]\overline x[/tex] = 18.732

[tex]\overline y[/tex] = 187.24

[tex]\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right)[/tex] = -4926.59

[tex]\sum \left(x_i - \overline x\right )^2[/tex] = 792.3944

Therefore;

[tex]b = \dfrac{-4926.59}{792.3944 } \approx -6.2173[/tex]

[tex]a = \overline y - b \cdot \overline x[/tex]

Which gives;

a = 187.24 - (-6.2173) × 18.732 ≈ 303.70

The equation of the line is therefore; [tex]\overline y = \mathbf{-6.2173 \cdot \overline x + 303.70}[/tex]

Using the above regression line equation, the linear model of the scatter

plot can be drawn as presented in the graph created with MS Excel.

b. The slope of the line is b = -6.2173

c. The relationship between price per serving and sodium per serving is

as follows;

When the price per serving increases by 1 cent, the sodium per serving

decreases by 6.2173 mg.

Learn more about the regression line formula here:

https://brainly.com/question/14747095

Write and evaluate algebraic expressions

Answers

Answer:

9b+10s

Step-by-step explanation:

you are trying to find an expression for total cost after an unknown amount of hours. you need to multiply the number of hours (defined as b and s in this example) by the cost per hour given ($9/hr for the bike and $10/hr for the scooter).

this would result in the following expression: total cost=9b+10s

One kilometre is about 0.62 miles. It is 12 kilometres from Noah's house to the
ice skating rink. About how many miles is it from Noah's house to the ice
skating rink?


u'll get extra points if u answer guys!! pls help!!!!!

Answers

Answer:

7.44miles

Step-by-step explanation:

1km = 0.62miles

12km will be ; 0.62 × 12

= 7.44miles

At Buffalo Wild Wings, you order a meal that costs $15.86. You leave an 18% tip (on the pre-tax amount).
The sales tax is 8%. What is the total cost of the meal?

Answers

Answer:

round to cent 20.59

Step-by-step explanation:

A house costs 36% more today than when it was built.If the cost of the house today is $333,200, find the cost when it was built.​

Answers

Answer:

$245,000

Step-by-step explanation:

Let the intial cost = x

[tex]100\% + 36\% = 136\% = 1.36[/tex]

[tex]1.36x = 333200[/tex]

[tex]x = \frac{333200}{1.36} [/tex]

[tex]x = 245000[/tex]

What is 2(n+7)+3n simplified and written in factored form?

Multiple choice question.


A)
5n+9



B)
5n+14



C)
3(2n+3)



D)
2(3n+7)

Answers

Answer:

B)

Step-by-step explanation:

2(n+7)+3n

now you multiply 2 though

2n+14+3n

Add common factors

5n+14

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

PLLLZZZ NO ONE WILL HELP ME!!!
Given this equation in slope-intercept form…
y = 2x + 5
Identify or solve for the following:
Slope
y-intercept
x-intercept
Independent variable
Dependent variable
Domain
Range
We would like to represent a line passing through the point (5,0) with a slope of 2. Please write the equation for this line in slope-intercept form and in point-slope form.

What is the rate of change of the function above?

Answers

Answer:

y = m x + b    standard form of straight line

y = 2 x + 5

The slope is m and = 2

the y intercept is 5  because when x = o y = 5

if y = 0 then x = -2/5 and would be the x intercept

x is the independent variable and y is the dependent variable

I am not familiar with your definitions for domain and range but

both x and y can vary from -∝ to = ∝

What does this equal 2(4+5) over 3

Answers

2(4+5) = 18
so 18/3 = 6

NO LINKS
A jaguar can run 40 miles per hour while a giraffe can run 32 per mile if they both run for 4 hours how much farther will the jaguar run? Show TWO ways to write the expression or equation and solve

Answers

Answer:

(40*4)-(32*4)=32

160-128=32

Step-by-step explanation:

find three solutions of 9x - 2y = 18


(i don't know why I can't type this out right the first two times)​

Answers

Look at the paper for solutions.

Answer:

Some solutions of 9x−2y=18 are x=5 =−18 ; x=7 and y=19 ; x=9 and y=0 ; x=11 and y=9 and x=13 and y=18 .

Step-by-step explanation:

How do I get the answer for exponents? Please explain step by step to get marked!

Answers

Answer:

4900

Step-by-step explanation:

70^2 means 70*70

70*70=4900

Answer:

you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.

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