√2x-7+X= 5

Solve the equation with work shown below

Answers

Answer 1

Answer:

[tex]x=12(\sqrt2-1)[/tex]

Step-by-step explanation:

The given equation is :

[tex]\sqrt{2} x-7+x=5[/tex]

Add 7 to both sides of the equation.

[tex]\sqrt{2} x-7+x+7=5+7\\\\\sqrt{2} x+x=12[/tex]

Taking x common from both sides of the equation.

[tex]x(\sqrt{2} +1)=12\\\\x=\dfrac{12}{\sqrt2+1}[/tex]

Multiplying both numerator and denominator by [tex]\sqrt2-1[/tex]

[tex]x=\dfrac{12}{\sqrt2+1}\times \dfrac{\sqrt2-1}{\sqrt2-1}\\\\=\dfrac{12(\sqrt2-1)}{2-1}\\\\=12(\sqrt2-1)[/tex]

Hence, the value of x is [tex]12(\sqrt2-1)[/tex].


Related Questions

Mark uses 10 cups of apple juice and 16 cups of orange juice to make fruit punch. Deon uses an equivalent ratio of apple juice to orange juice when he makes fruit punch. Which ratio of apple juice to orange juice could Deon use?

Answers

Given that,

No of cups of Apple juice = 10

No of cups of Orange juice = 16

Solution,

The ratio of Apple juice to the Orange juice will be :

[tex]R=\dfrac{10}{16}[/tex] ....(1)

For equivalent fraction, multiply both numerator and denominator by 2 such that,

[tex]R=\dfrac{10\times 2}{16\times 2}\\\\=\dfrac{20}{32}[/tex]

Dividing both numerator and denominator 2 such that,

[tex]R=\dfrac{10/2}{16/2}\\\\=\dfrac{5}{8}[/tex]

So, the required ratio is 5/8.

2 adults for every 24 children and theee are 72 children

Answers

Answer:

6 adults

Step-by-step explanation:

72/24= 3 and 3*2=6 adults

Answer:

there are 6 adults

Step-by-step explanation:

24x3=72

2x3=6

Have a great day!

Eric goes to the store to buy ingredients for dinner. He needs ground beef, shredded cheese, salsa, and tortillas. The ground beef costs $3.79, the shredded cheese costs $2.69, the salsa costs $3.77, and the tortillas cost $1.50. He has the following coupons: off ground beef, $0.50 off shredded cheese, and $1.00 off salsa.

Part A: What is the total cost of the items before Eric uses the coupons?

Part B: What is the total of all of the coupons?

Part C: How much will Eric pay after he uses the coupons?`

Answers

Answer:

part.a  11.75

part.b 1.50

part.c 10.25

Step-by-step explanation

first you do is add your original prices first

then you go back to your percentages and sense the ground beef doesn't have a coupon off its the original price for that

and your coupons added up deduct from the price and 10.25 is your new answer

Consider the function 1(x) = 3x - 2 and the function g(x), which is represented by the table below. 1 3 5 7 9 g) 3 7 11 15 19 Which of the following statements about f(x) and g(x) is true? Select all that apply. The values of f(x) and g(x) are the same at x = 3. The lines represented by f(x) and g(x) are parallel. The y-intercept of f(x) is smaller than the y-intercept of g(x). The line represented by f(x) crosses the x-axis to the right of the line represented by g(x). The slope of f(x) is smaller than the slope of gx).​

Answers

Answer: 1,2,5

Step-by-step explanation:

Evaluate 4(3x) - 8- x2 for the following values of x.
a. X =3
b. X = -3

Answers

Answer:

a. 19 b. -53

Step-by-step explanation:

I did it mentally, but you plug those x values into the equation.

A = 22
4(3x)-8-x2 = 4(3x3)-8-3x2= 22
B= -38
4(3x)-8-x2 = 4(3x-3)-8-(-3x2)=-38

There are five members in a family and the average mass is 42.5 kg. What is the total mass? Please help me.​

Answers

Answer:

the total mass is 212.5 kg

Step-by-step explanation:

The computation of the total mass is as follows;

Given that

Number of family members = 5

And, the average mass is 42.5 kg

Now based on the above information

The total mass is

= Number of family members × average mass

= 5 × 42.5 kg

= 212.5 kg

Hence, the total mass is 212.5 kg

3x+-6+2 > = 5x -8......can someone please solve this

Answers

Answer:

x ≤ 2

Step-by-step explanation:

If you referencing ">=" as greater than or equal to, follow the solution below:

Solve:

3x - 6 + 2 ≥ 5x - 8

Combine like terms.

3x - 4 ≥ 5x - 8

Subtract 5x from both sides.

-2x - 4 ≥ -8

Add 4 to both sides.

-2x ≥ -4

Divide both sides by -2, while flipping the inequality as well since you're dividing by a negative number.

x ≤ 2

Your answer would be x ≤ 2

PLSSSS HELP ASAP!! GIVING BRAINLIEST!! Explain pls :)
At the store, beef was $73.70 for 5 pounds. If you bought 15 pounds, how much would it cost?

Answers

Answer:

$221.1

Step-by-step explanation:

Divide 73.70 by 5 pounds so that you can get the price of 1 pound beef

After diving the price for one pound of beef is $14.74.

Now, you have the price of 1 pound beef, you can just multiply it with 15 pounds.

15 x 14.74 = 221.1

Answer:

$221.1

Step-by-step explanation:

you multiplie it buy 5

One way to show that two triangles are similar is to show that ______.

Answers

Answer:

they have two congruent angles or AA

Step-by-step explanation:

Answer:

they have two congruent angles or AA

Step-by-step explanation:

I’m stuck, need help!!

Answers

Answer:

Step-by-step explanation:

A + B + C = 180

x + x - 24 + 68 = 180

2x - 24 + 68 = 180

2x + 44 = 180

2x = 180 - 44

2x = 136

x = 68

A = 68

B = 44

C = 68

Which of the following are solutions to the equation below?
Check all that apply.
X2 + 10x+ 25 = 8

Answers

X^2+10x+25 =8

Answer shown in figures below

Please help me with this homework from 1 to 8 and tell me how you get it

Answers

Answer:

[tex]x = - 1 \\ y = - 5 \\ m = - 6 \\ z = 3 \\ q = 0 \\ n = - 2 \\ w = - 1 \\ k = - 2[/tex]

Step-by-step explanation:

I just showed my work process in the pictures.

Please help!
Melissa's penny bank is 3/10 full. After she adds 240 pennies, it is 4/5 full. How many pennies can Melissa's bank hold?

Answers

Answer: 480 pennies
Explanation: 4/5=8/10 8/10-3/10= 5/10
240 pennies filled half of the bank thus 480

PLEASE ANSWER ASAP
Which statement is correct about triangle I and triangle 2?
The triangles are similar because corresponding sides are congruent.
The triangles are not similar because corresponding sides have different lengths.
The triangles are similar because corresponding angles are congruent.
The triangles are not similar because corresponding angles have different angle measures.

Answers

Answer:

Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

PLZ ANSWER!!! I DONT KNOW HOW TO WRITE THIS SO LOOK AT THE PIC

Answers

Answer:

24

Step-by-step explanation:

Can i have brainliest

Simplify completely: 220 - 2,5
O 65
O /15
O 25
O 2/15

Answers

Answer:

Exact Form:

2√5

Answer: Okay, the answer is [tex]2\sqrt{5}[/tex], the decimal form is 4.4, please mark me as brainliest! :)

Step-by-step explanation: You'll need to pull terms out from under the radical, assuming positive real numbers. I hope you using Math-way to simplify the square root expression correctly to find this helpful for you, have a wonderful day! :D

The list below shows all of the possible outcomes for flipping four coins.


HHHH

HHHT

HHTH

HHTT

HTHH

HTHT

HTTH

HTTT

THHH

THHT

THTH

THTT

TTHH

TTHT

TTTH

TTTT


What is the probability of getting the same number of heads and tails?

StartFraction 1 over 8 EndFraction

One-fourth

StartFraction 3 over 8 EndFraction

Three-fourths


40 points

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

C: 3/8

Step-by-step explanation:

edg2021

There are a total of 16 outcomes, and 6 of them have equal heads and tails. Simplify and its 3/8

What is the value of x in the equation x -3/4 = 5 1/6

Answers

Step-by-step explanation:

x-3/4=5 1/6

(4x-3)/4=31/6

(4x-3)/2=31/3

12x-9=62

12x=71

X=71/12

Prove that 3+2 root 3 is irrational

Answers

Answer:

Hi friend,

Let 3+2√3 is a rational number.

A rational number can be written in the form of p/q.

3+2√3=p/q

√3=p/2q-3

√3=p-6q/2q

p,q are integers then (p-6q)/2q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So,our statement supposed is false.

Therefore,3+2√3 is an irrational number.

Step-by-step explanation:

Answer:

in the explanation

Step-by-step explanation:

The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).

Hope this helps!

Jenny will choose between two restaurants to purchase pizzas for her party. The first restaurant charges a delivery fee of $6 for the entire purchase and 12 per pizza. The second restaurant has no delivery fee and charges 14 per pizza.

Answers

Answer:

The second one

Step-by-step explanation:

The second one because if you compare 12+6=18 to 14 the better buy is the second one because 14 is less than 18

Distance 22
= 11
Time
2
(Simplify your answer.)
miles
hour
Find the unit rate (constant of proportionality) for Bobby.
Use (2, 1) and (4.) to find the constant of proportionality.
Enter your answer in the edit fields and then click Check Answer
It is 2 by 20 and 4 by 40

Answers

Answer:

Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.

A total of 54 adults and students show up for the play. Adult tickets cost $8 and kid tickets cost $5 and the total money collected
was $360. How many of each type of ticket were sold?
It’s using substitution or elimination to get a number for kids and adults

Answers

Answer:

30 adult tickets and 24 kid tickets

Step-by-step explanation:

set up equations

x=adult tickets

y=kid tickets

x(adult tickets)+y(kid tickets)=54(people in total)

x+y=54

$8x+$5y=$360

$8 per ticket for adults

$5 per ticket for kids

total of $360 earned

8x+5y=360

x+y=54

8x+5y=360

solve by elimination or substitution or even graph to get

(x,y)=(30,24)

x=30

y=24

The formula for the circumference of a circle is c=2pir where r is the radius and c is the circumference. The equation r is r=c/2pi

Answers

Answer:

r = 8

Step-by-step explanation:

The circumference of a circle is given by :

[tex]C=2\pi r[/tex] ...(1)

We need to find the value of r when C = 16π

Solving equation (1)

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{16\pi}{2\pi}\\\\r=8[/tex]

So, the value of r is 8. Hence, the correct option is (b).

Is this a good outfit for a family gathering/ holiday party?
Black velvet skinny jeans
cream/white shirt
oversized rose cardigan
sparkly barrette
lightly curled hair
matte light makeup

Answers

Answer:

in my opinion you should wear black velvet skinny jeans with oversized rose top and lightly curled hair

Step-by-step explanation:

that is in my opinion

there are Thirty coins and they are all dimes and nickels, and they are worth $2.60. How many nickles and dimes are there

Answers

Answer:

22 dimes, 8 Nickels

Step-by-step explanation:

If the edge of a square measures 3x, which expression represents the perimeter?
A) 12x B) 3x + 4 C) 6x D) 6x2

Answers

Answer:

A

Step-by-step explanation:

3x × 4 =12x

Mark me brainliest pls

and thank me

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

Help please no wrong answer

Answers

the answer would be 12 hope this helps(:
2^5 and 12 are both correct

For her parents' anniversary party, Sarah is considering using one of two venues. A hotel in Booneville will cost $904 for a reservation, plus $86 per person. A restaurant in the same city will cost $89 per person, in addition to $901 for the reservation. In order to make the best decision, Sarah figures out how many attendees it would take to have the venues cost the same amount. How many attendees would that be? What would the total cost be?

Answers

Answer:

x = 1

$990

Step-by-step explanation:

First you want to write the linear equations for both scenarios

in the first scenario hotel:

y = 86x + 904 where x = # of people, y = total cost

in the second scenario restaurant:

y= 89x + 901

now you want to set them equal to each other since you want to know how many people (x) will be needed to make total costs equal.

86x + 904 = 89x + 901

subtract 86x on both sides to move all x terms on the right

904 = 3x + 901

subtract 901 on both sides to move numbers to the left

3 = 3x

divide both sides by 3

1 = x or x=1

So it would take 1 attendee.

Now plug in x=1 into either equation to find the total cost that is the same.

y = 86(1) + 904

= 86 + 904

= $990

please give thanks by clicking heart :)

What is the highest common factor of 4xy ,12x2y

Answers

Answer:

Step-by-step explanation:

12x^2y / 4xy = 3x

So 4xy is the highest common factor.

Answer:

4x2y

Step-by-step explanation:

4xy = 4x4y

12x ÷ 4 = 3x

2y ÷ 2 = 1y

Hope this helps !

Merry Christmas

Find value of P and Q

Answers

Answer:

[tex] P= 6 \frac{1}{7}\\\\

Q = 4 \frac{2}{7}[/tex]

Step-by-step Explanation

[tex] \frac{5 + 3 \sqrt{2} }{5 - 3 \sqrt{2} } = P+Q\sqrt 2 \\ \\ \frac{(5 + 3 \sqrt{2}) }{(5 - 3 \sqrt{2}) } \times \frac{(5 + 3 \sqrt{2}) }{(5 + 3 \sqrt{2} )} = P+Q\sqrt 2 \\ \\ \frac{ {(5 + 3 \sqrt{2} )}^{2} }{ {(5)}^{2} - (3 \sqrt{2})^{2} } = P+Q\sqrt 2 \\ \\ \frac{ {5}^{2} + {(3 \sqrt{2} )^{2} + 2.5.3 \sqrt{2} } }{25 - 9 \times 2} = P+Q\sqrt 2 \\ \\\frac{ 25 + 18 + 30 \sqrt{2} }{25 - 18} = P+Q\sqrt 2 \\ \\\frac{ 43 + 30 \sqrt{2} }{7} = P+Q\sqrt 2 \\ \\ \frac{43}{7} + \frac{30 }{7} \sqrt{2} = P+Q\sqrt 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ P = \frac{43}{7} \\ \\ \huge \red { \boxed{ P= 6 \frac{1}{7}}} \\ \\ Q = \frac{30}{7} \\ \\ \huge \orange { \boxed{ Q = 4 \frac{2}{7} }}[/tex]

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