Plz HeLp MeEeEeEe...............

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!

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

Answer:

22 dimes, 8 Nickels

Step-by-step explanation:

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

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

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Answer: 1,2,5

Step-by-step explanation:

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

Answer:

zero slope

Step-by-step explanation:

its not goin up or down so there is no slope:)

also look below :)

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.

Answer:

54 km/h

Step-by-step explanation:

Step one:

given data

We are required to perform unit from m/s km/h

from 15m/s to km/h

Step two:

1 meter= 1/1000 km,

1 seconds= 1/3600 hour

1m/s = 1/1000/1/3600= km/h= 3600/1000= 36/10= 18/5 km/h

so of 1m/s is equivalent to 18/5 km/h

then 15m/s is equivalent to x

cross multiply

x= 15*18/5

x= 3*18

x=54 km/h

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.

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

X^2+10x+25 =8

Answer shown in figures below

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

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

The volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = [tex]\frac{1}{2}[/tex] diameter = [tex]\frac{1}{2}[/tex] (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = [tex]\frac{1}{3}[/tex] (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

   the volume of each cone

∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

Answer:

x=2

Step-by-step explanation:

Answer:

15 nickels, 6 quarters, and 12 dimes.

Step-by-step explanation: i hoped it helped ;)

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

[tex]-\frac{1}{5}[/tex] ÷ 20 = - 100

or -0.01

there are two answers you can come up with choose wisely

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!

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.

Given:

Polynomial = P(x) = 3x² + kx + 6

Factor of the ablove polynomial = (x+3)

To Find:

Value of K, for which (x+3) become the factor of P(x) = 3x² + kx + 6

Solution :

Now,

x + 3 = 0

⇒x = (-3)

So,

As (x+3) is a factor so x = (-3) is one root of the polynomial.

Therefore,

P(-3) = 0

→ P(-3) = 3(-3)² + k(-3) + 6 = 0

→ 3(9) - 3k + 6 = 0

→ 27 - 3k + 6 = 0

→ 27 + 6 - 3k = 0

→ 33 - 3k = 0

→ - 3k = -33

→ k = -33 ÷ -3

→ k = 11

3x²+ kx + 6, by putting the value of k = 11 and taking -3 as root the remainder should be zero

→ 3x²+ 11x + 6

→ 3(-3)² + 11(-3) + 6

→ 3(9) - 33 + 6

→ 27 - 33 + 6

→ 27 + 6 - 33

→ 33 - 33

→ 0

Hence verified !

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

Answer - $55.03 .

12.70 divided by 3 = 4.23 x 13 = 55.03 .

Answer:

they have two congruent angles or AA

Step-by-step explanation:

Answer:

they have two congruent angles or AA

Step-by-step explanation:

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.

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).

Answer:

24

Step-by-step explanation:

Can i have brainliest