Rationalize the denominator 2/root 3 - 1​

Answer:

b = 15

Step-by-step explanation:

2 (b - 8) + -11 = 3

2b - 16 + -11 = 3

2b - 16 + -11 = 3

2b - 27 = 3

2b = 3 + 27

2b = 30

b = 30 ÷ 2

b = 15

Answer:

[tex] = > 2(b - 8) + - 11 = 3[/tex]

[tex] = > 2b - 16 + - 11 = 3[/tex]

[tex] = > 2b - 27= 3[/tex]

[tex] = > 2b = 27 + 3[/tex]

[tex] = > 2b = 30[/tex]

[tex] = > b = \frac{30}{2} [/tex]

[tex]=>b=15[/tex]

Step-by-step explanation:

[tex]mid \: point \: of \: x = \frac{x1 + x2}{2} \\ x = \frac{8 + - 12}{2} \\ = \frac{ - 4}{2} = - 2 \\ mid \: pont \: of \: y = \frac{y1 + y2}{2} \\ y = \frac{ - 5 + - 1}{2} \\ = \frac{ - 6}{2} \\ = - 3 \\ the \: coordinates =( xy) = ( - 2 \: - 3) \\ thank \: you[/tex]

Answer:

-2/5 =x

Step-by-step explanation:

2/3 ( x-2) = 4x

Multiply each side by 3/2

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

x-2 = 6x

Subtract x from each side

x-2-x = 6x-x

-2 = 5x

Divide each side by 5

-2/5 = 5x/5

-2/5 =x

x=−  2/5=−0.4 is the answer please mark brainliest

Answer:

If you don't have a protractor handy, you can determine the size of an angle using the basic geometric principles of triangles. You'll need a scientific calculator to solve the equations. Most smartphones are equipped with them, but you can also download a free app or access a free calculator online.

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42? … I hope it helps you

Answer:

1 ton = 1000 kg

So, 17 ton = 17 × 1000

= 17000 kg

17000 + 200 kg = 17200 kg

[tex] \frac{17200}{8} = 2150kg[/tex]

Answer:

It's $32.39.

Step-by-step explanation:

35.99 - 35.99*10% =

=35.99 - 35.99*0.1

=35.99 - 3.599

=32.391

32.391 is close to 32.39 so we will round it to that number.

The answer is $32.39.

Answer: 2.8 hours

Step-by-step explanation:

Train A: time= t, v=45mi/hr, d= d

Train B: time t, v= 55mi/hr, d=280-d

Distance = v times t (d=vt)

t = d/v (time for both trains is the same, so t=t)

Train A: t=d/45

Train B: t=(280-d)/55

d/45 = (280-d)/55 (cross multiplication)

55d = 15400-45d

55d+45d = 15400

100d = 15400

d = 154 miles (280miles - 154miles = 126 miles)

Train A travel 154 mi and train B travel 126 mi

Train A travel 154 miles in 2.8 hrs.

Train B travel 126 miles in 2.8 hrs.

154 miles at a rate of 55mi/h = 2.8 hours and

126 miles at a rate of 45mi/h = 2.8 hr.

Hi ;-)

f(x) = ²/₃x + 3 ∧ f(x) = -5

²/₃x + 3 = -5

²/₃x = -5 - 3

²/₃x = -8  / * ³/₂

x = -12

Answer:

he watched 2movie in 1st year

Answer:

a= 3/11

b = 2/11

Step-by-step explanation:

a(1) + b(4) = 1

a + 4b = 1

a(3) + b(1) = 1

3a + b = 1

b = 1-3a

a + 4(1-3a) = 1

a+ 4-12a = 1

-11a = -3

a = 3/11

b = 1-3(3/11)

b= 2/11

The value of a and b are 3/11 and 2/11 respectively.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given that the straight line ax+by=1 passes through the points (1,4)and (3,1).

Thus, the equation of the straight line passing through the point ( 3,1 )

a(3) + b(1) = 1

3a + b = 1

b = 1-3a

Thus, the equation of the straight line passing through the point(1,4)

a(1) + b(4) = 1

a + 4b = 1

Now substitute the value of b;

a + 4(1-3a) = 1

a+ 4-12a = 1

-11a = -3

a = 3/11

Then b = 1-3(3/11)

b= 2/11

Hence, the value of a and b are 3/11 and 2/11 respectively.

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Answer:

Solution given:

7+4c=7c+6

subtracting both side by 4c

7+4c-4c=7c-4c+6

solve like terms

7=3c+6

subtracting both side by 6

7-6=3c+6-6

3c=1

c=1/3

Answer:

c = -1/3

Step-by-step explanation:

7 + 4c = 7c + 6

7 - 8 + 4c = 7c

-1 + 4c = 7c

-1 = 7c - 4c

-1 = 3c

-1/3 = c

Answer:

About 113.

Step-by-step explanation:

45 + 0.05t +0.58v = 55.29

v = 8

t is 113 text messages.

Kristy’s sent About 113 text messages..

An equation represents equality of two or more mathematical expression.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

It is given that Kristy’s cellphone company charges a monthly rate of $45 plus $0.05 per text message sent and $0.58 per video messages sent.

Also Kristy’s sent 8 video messages in October and receive a bill for $55.29.

The equation form as;

45 + 0.05t +0.58v = 55.29

Solve for t when v = 8;

45 + 0.05t +0.58(8) = 55.29

t = 113

Therefore, she sent 113 text messages.

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Find the decimal for 2 out of 5 by dividing 2 by 5:

2 out of 5 = 2/5 = 0.40

Multiply total people by 0.40:

2500 x 0.40 = 1,000

Answer: 1,000

Answer: 22

Step-by-step explanation: 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64

quicker example: 64-20= 44 also 22x2=44 + 20 = 64

Answer: x = 3

Step-by-step explanation:

[tex]2x-7=\frac{1}{3}x-2\\\\6x-21=x-6\\\\5x-21=-6\\\\5x=15\\\\x=3[/tex]

Answer:

$18.73

Step-by-step explanation:

$16.55 + $2.18

(sorry if I'm wrong)

Answer:

n=1

Step-by-step explanation:

(√5^5)^5 =5^n

5^1/5×5=5^n

1/5×5=n

5/5=n

n=1

Answer:

0.191

Step-by-step explanation:

S = Sofia's batting average

J = Joud's batting average

S=?

J=0.169

S = 0.022 + 0.169

S = 0.191

Answer:

0.191

Step-by-step explanation:

S = Sofia's batting average

J = Joud's batting average

S=?

J=0.169

S = 0.022 + 0.169

S = 0.191

Hope this helps <3

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Answer:

18

Step-by-step explanation:

6 ÷ 1⁄3 = 18

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

(1, 13)

Step-by-step explanation:

it is above in the photo.

Answer:

7 and 34

Step-by-step explanation:

let x and y be the 2 numbers with x > y

The 2 equations to solve are

x = 4y + 6 → (1)

x + y = 41 → (2)

Substitute x = 4y + 6 into (2)

4y + 6 + y = 41 , that is

5y + 6 = 41 ( subtract 6 from both sides )

5y = 35 ( divide both sides by 5 )

y = 7

Substitute y = 7 into (1)

x = 4(7) + 6 = 28 + 6 = 34

The 2 numbers are 7 and 34

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

y = 2x² + 1 2x + 14

Move the constant  (14) to the left side

y - 14 = 2x² + 12x

Now factor out 'a' , the coefficient  of  x² term

y - 14= 2(x² + 6x)

Divide the coefficient  of 'x' by 2 ⇒ 6/2 = 3

Find the square of '3' and add it to x² + 6x   ⇒ x² + 6x + 9

Multiply the square of 3 and add it to y - 14; 9*2 = 18

y- 14  = 2(x² + 6x + 9)

y  - 14 + 18 = 2(x² + 6x + 9)

y + 4 = 2(x² + 6x +9)

y + 4 = 2(x + 3)²

y = 2(x + 3)² - 4

Vertex ( -3 , -4)

Answer:

DE = 1/2 AC -> AC = 4

EF = 1/2 AB -> AB = 6

DF = 1/2 BC -> BC = 8

Step-by-step explanation:

hope it help u

Answer:

C

Step-by-step explanation:

remember SOHCAHTOA

SOH is for sin

CAH is for cosin

TOA is for tan

line PS=14 so line QR=14

line PQ is your x value. so to solve, write out tan30=14/x

rewrite it so it now says x= 14/tan. type that in to your calculator and you get your answer

Answer: (1/4 + 1/8) x (2/3-5/6)

Step-by-step explanation:

The sum of 1/4 and 1/8 times the difference between 2/3 and 5/6

Answer:

Least to greatest: 8.76,11.73,11.9,15.9

Greatest to least: 15.9,11.9,11.73,8.76

Step-by-step explanation:

plz give me brainliest

Answer:

Step-by-step explanation:

Use the number on the left of the decimal first. Smallest to largest gives

8

11

11

15

8 and 15 have their positions fixed. Where they are now, that is where they will stay.

So let's mark them

8.76

11

11

15,8

Now all we need do is figure out the 11s.

11.90

11.73

I added the 0 so you could think about money. You see a great looking scarf. Which would you rather pay: 11.73 or 11.90.  Never mind that you really like it and the difference isn't worth squabbling about. Which is better to pay? You should answer 11.73. It's smaller than 11.90. So what's the answer

8.76

11.73

11.90

15.9

Estimation and precision are used when the actual value cannot be easily determined or calculated.

Given that, the length is to be measured to the nearest [tex]\frac 14\ inch[/tex], we have the following observations

So, we have:

[tex]L_1 = 2\frac 14[/tex] --- the length of the abdomen

[tex]L_2 = 4 - 2\frac 14[/tex]

Express as improper fraction

[tex]L_2 = 4 - \frac{9}{4}[/tex]

Take LCM

[tex]L_2 = \frac{16 - 9}{4}[/tex]

[tex]L_2 = \frac{7}{4}[/tex]

Express as proper fraction

[tex]L_2 = 1\frac{3}{4}[/tex] --- the length of the thorax

The number of times (n) the abdomen is longer than the thorax is calculated as follows:

[tex]n = L_1 \div L_2[/tex]

So, we have:

[tex]n = 2\frac 14 \div 1\frac 34[/tex]

Express as improper fractions

[tex]n = \frac 94 \div \frac 74[/tex]

Rewrite as:

[tex]n = \frac 94 \times \frac 47[/tex]

[tex]n = \frac 97[/tex]

Express as proper fractions

[tex]n = 1\frac 27[/tex]

Hence, the abdomen is [tex]1\frac 27[/tex] times longer than the thorax

Read more about estimation and precision at:

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