Which inequality is equivalent to 3+4/x>=x+2/x

Check the three attached images.

The first exercise is quite self-explanatory. We have to draw two lines that pass through P and are tangent to the circle.

As for the second, since the circle is tangent to all three side of the triangle, we can conclude that the circle is inscribed in the triangle.

Finally, to draw the common tangent, you have to find the point of intersection between the two circles, and draw a line perpendicular to AB.

Answer:

131.88 centimeters

Step-by-step explanation:

diameter = radius*2

radius = 21

circumference =2*π*r

2*3.14*21= 131.88 centimeters

The answer is B.

There are about 391,000 of plants currently known to science.

Hope this helps.

The answer is B. There are more than 300,000 plant species

Robbin made more over the weekend

This is pretty easy, we have two steps.

#1. We have to use the formula rule.

4 x 8 + 1. over 8.

#2. Simplify the top equation.

4 x 8 is 32 + 1 = 33.

We get [tex]\fbox{33/8}[/tex].

The fraction 4 1/8 simplified as an improper fraction is 33/8

From the question, we have the following parameters that can be used in our computation:

Fraction =  4 1/8

When converted to an improper fraction, we have

Numerator = 8 * 4 + 1

Evaluate

Numerator = 33

The denominator remains the same

So, we have

Fraction =  33/8

Hence, the fraction is 33/8

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Answer: yes

Step-by-step explanation:

If you round, then $9 will round up to $10 and 52 will round down to 50. Then, you multiply 10 and 50, which equals 500, so it is a reasonable guess.

I tried, hope it helps!

Answer:

7x-3x = 4x?

I think

7x-3x

i dont really know

Answer:

8.3 cm

Step-by-step explanation:

The equation 2πr is used to find circumference. To find the diameter, you will first need to find the radius, and in order to find the radius, you need to isolate "r" in the equation.

2πr = 26

Divide 2 for both sides.

πr = 13

Divide π (I am assuming π is 3.14) for both sides.

r = 4.140127389

Our radius is about 4.140127389. To find the diameter, multiply your radius by 2. This gives us 8.276057041, which rounds to 8.3 cm.

Answer: 18 parent volunteers and 4 buses.

Step-by-step explanation: In order to solve this problem you must first calculate how many student will be going on the trip.

There are 8 classes of 20 students and 90% are attending, so the formula is 8 x 20 x .9 = 144 students are going.

Part A: If one parent needs to go for each 8 students you need to divide 144 by 8 = 18 parent volunteers.

Part B: The total people attending are 144 students, 18 parent volunteers and 4 teachers is a total 166 total attending to ride the bus. You need to divide 166 people by 44 on each bus = 166/44 = 3.7 buses, so they need to reserve 4 buses.

[tex]a{x}^{2}+bx+c\\Since \: a = 1> 0, the \: parabola \: will \: open \: up[/tex]

The length of UC is 18

First we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.

We can infer from our picture that JN is 82 + 105, so JN = 187

We can also infer that JU = JH + HU

                                     JU = 22 + 96

                                     JU = 118

We can also infer that CN = 51

Now we can fin the length of UC:

[tex]UC=JN-(JU+CN)[/tex]

[tex]UC=187-(118+51)[/tex]

[tex]UC=18[/tex]

We can conclude that the length of UC is 18.

Answer:

The correct answer is UC = 18

Step-by-step explanation:

From the given figure we can see that,

total length JN =  82 + 105 = 187

To find the length UC

From figure we can write,

UC = Total length - ( JU + CN) = JN - ( JU + CN)

JU = JH + HU = 22 + 96 = 118

UC = JN - ( JU + CN)

     = 187 - (118 + 51)

     = 187 - 169 = 18  

Therefore the length of UC = 18

Answer:

A'(-5,3) A"(-2,5)

Step-by-step explanation:

First, reflecting across the x axis makes the points (x,-y).

So we get A prime = (-5,3)

Then, we add 3 to the x value and 2 to the y value to get A"

So A" = (-2,5)

Answer:

A. (-5,-3)

B. (-6,-1)

C. (-3,-1)

D. (-2,-3)

Answer:

x = 10

Step-by-step explanation:

Given

4x + 8y = 40 ← substitute y = 0, then

4x + (8 × 0) = 40

4x + 0 = 40

4x = 40 ( divide both sides by 4 )

x = 10

Answer:

[tex](x-4)^{2}+(y-4)^{2}=32[/tex]

Step-by-step explanation:

we know that

The equation if the circle into center radius form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

where

(h,k) is the center of the circle

r is the radius

In this problem we have

[tex](h,k)=(4,4)[/tex]

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

Let

[tex]A(0,0),B(4,4)[/tex]

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

substitute the values

[tex]r=\sqrt{(4-0)^{2}+(4-0)^{2}}[/tex]

[tex]r=\sqrt{(4)^{2}+(4)^{2}}[/tex]

[tex]r=\sqrt{32}\ units[/tex]

substitute in the equation of the circle

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

[tex](x-4)^{2}+(y-4)^{2}=(\sqrt{32})^{2}[/tex]

[tex](x-4)^{2}+(y-4)^{2}=32[/tex]

Answer:

42 miles.

Step-by-step explanation:

It is given that Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions.

Speed of Mr. Rivers = 48 mph

Speed of Mrs. Rivers = 36 mph

We need to find the distance between them at 10:30 a.m.

10:30 - 10:00 = 0:30 = 30 minutes = 1/2 = 0.5 hour

Distance covered by Mr. Rivers in half hour = 48 × 0.5 = 24

Distance covered by Mrs. Rivers in half hour = 36 × 0.5 = 18

Total distance covered by both in half hour = 24 + 18 = 42

Therefore, they are 42 miles far from each other at 10:30 a.m.

Answer:

42 miles

Step-by-step explanation:

Answer:

8 roses, 7 lilies

Step-by-step explanation:

8 roses = 20$

7 lilies = 8.25$

Added together they equal 28.75 $

f(x)= 9x^3+ 2x^2 -5x+ 4

g(x)= 5x^3 -7x+ 4

f(x) - g(x)

= (9x^3+ 2x^2 -5x+ 4) - (5x^3 -7x+ 4)

= 9x^3+ 2x^2 -5x+ 4 -5x^3+ 7x -4

= (9x^3 -5x^3)+ 2x^2+ (7x -5x)+ (4-4) (combine like terms)

= 4x^3+ 2x^2+ 2x

= 2x* (2x^2+ x+ 1)

The final answer is 2x* (2x^2+ x+ 1).

Answer:

x = 200

y = 100

Step-by-step explanation:

20x + 30y = 7000       Divide by 10

15x + 35y = 6500       Divide by 5

===============

It helps if you break down both equations to something simpler. It looks like not always.

(2x + 3y = 700)              Multiply by 3            

(3x + 7y = 1300)             Multiply by 2

==================

6x + 9y = 2100

6x + 14y =2600              Subtract

-5y = - 500                     Divide by -5

-5y/-5 = -500/-5

y = 100

2x + 3y = 700                  substitute y = 100

2x+ 3*100 = 700              Combine

2x + 300 = 700                 Subtract 300 from both sides.

2x = 700 - 300

2x = 400

x = 400/2

x = 200

===================

Hockey check

15x + 35y = 6500

15*200 + 35*100 = 6500

3000 + 3500 = 6500      Just as it should.  

Answer: 300 seats

Step-by-step explanation:

Easy!

20x + 30y = 7000

15x + 35y = 6500

Simplify by division of a common factor:

5(4x + 6y = 1400)

5(3x + 7x = 1300)

Choose an equation to solve for a variable and use substitution:

4x = 1400 - 6y

x = 350 - 3/2y

3(350 - 3/2y) + 7y = 1300

1050 - 9/2y + 7y = 1300

5/2y = 250

y = 100

Now substitute the solution in both equations to see if it works:

20x + 30(10) = 7000

20x + 3000 = 7000

20x = 4000

2x = 400

x = 200

Now for the other equation:

15x + 35(100) = 6500

15x + 3500 = 6500

15x = 3000

x = 200

Now add x to y, as the total number of seats is equal to x + y.

x + y = total number of seats.

200 + 100 = 300

Therefore, there must be 300 seats in total.

Answer:

Option d -  720/750 ≈ 0.96                    

Step-by-step explanation:

Given : Of 750 people surveyed, 330 were male and 640 had cell phones. Of those with cell phones, 390 were female.

To find : What is the probability that a person surveyed was either male or had a cell phone?

Solution :

Let M be the number of males i.e. M=330

Let C be the number of cell phones i.e C=640

Total number of people = 750

Of 750 people surveyed, 330 were male

The probability of male is

[tex]P(M)=\frac{330}{750}[/tex]

Of 750 people surveyed, 640 had cell phones

The probability of cell phones is

[tex]P(C)=\frac{640}{750}[/tex]

Of those with cell phones, 390 were female.

i.e. reaming were male so 640-390=250

So, Probability of male and cell phone is

[tex]P(M\cap C)=\frac{250}{750}[/tex]

We have to find, the probability that a person surveyed was either male or had a cell phone i.e. [tex]P(M\cup C)[/tex]

Using formula,

[tex]P(M\cup C)=P(M)+P(C)-P(M\cap C)[/tex]

Substitute the values,

[tex]P(M\cup C)=\frac{330}{750}+\frac{640}{750}-\frac{250}{750}[/tex]

[tex]P(M\cup C)=\frac{330+640-250}{750}[/tex]

[tex]P(M\cup C)=\frac{720}{750}[/tex]

[tex]P(M\cup C)=0.96[/tex]

Therefore, Option d is correct.

Answer:

Tamar

Step-by-step explanation:

Since we're rounding to the hundredths place, we need to see if the thousandths place is greater or equal to 5. Since it is less than 5, we round down to 72.63.

Answer: Tamar

Step-by-step explanation:

Since the number before the 3 is a 1, the number will stay the same and not be rounded up. If the number was 5 or above, it would be rounded up to a 4.

Answer:

Step-by-step explanation:

First Question

The top question has 2 solutions because eventually you will have to take the square root of (x - 4)^2. One square root will be plus, and the other minus

(x - 4)^2 - 28 = 8                 Add 28 to both sides

(x - 4)^2 -28+28 = 8+28     Collect like terms

(x - 4)^2 = 36                       Take the square root.

sqrt( (x - 4)^2 ) = sqrt(36)    

x - 4 = +/- 6

=============

x - 4 = + 6      

x = 6 + 4

x = 10

============

x - 4 = - 6

x = - 6 + 4

x = - 2

The two solutions are (10,0) and (-2,0)

Second Question

The question is solved correctly up to the point where the square root needs to be taken. It is incorrect at that point.

x^2 - 6x - 7 = 0                             Add 7 to both sides.

x^2 - 6x  = 7                                  Add 1/2 the linear term and square it to both sides.

x^2 - 6x + (6/2)^2 = 7 + (6/2)^2    Expand the right

x^2 - 6x + 3^2 = 7 + 9                    

x^2 - 6x + 9 = 16                            express the square on the left

(x - 3)^2 = 16                                   Take the sqrt of both sides.

x - 3 = sqrt(16)

x - 3 = +/-4

============

x - 3 = 4

x = 4 + 3

x = 7

===========

x -3 = - 4

x = - 4 + 3

x = - 1

==========

Solutions

(7,0) and (-1,0)

The volume of the given figure is: 126π cubic inches.

A volume is defined as a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the attached figure will be the sum of the volume of the cylinder and twice the volume of the hemisphere. Therefore, the volume will be:

Volume = Volume of cylinder + 2(Volume of hemisphere)

Volume = (π × R² × H) + 2[²/₃π×R³]

Volume = (π×3²×10) + 2[(2/3)×π×3³]

Volume = 90π +36π

Volume  = 126π in³

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Answer:

B or C

Step-by-step explanation:

Since the communitive property of multiplication states that A * B = B * A...

2n = n2.

2n is doubling n and /3 is dividing that number by 3.

Answer:

1 pound

Step-by-step explanation:

12/3= 4

16/4=4

4/4=1

To find the weight of the frame nails that Dylan bought, which is 3/4 of the total weight of 12/16 pound, we multiply the total weight by 3/4 to get 9/16 pound.

The subject of this question is mathematics and it appears to be aimed at a middle school level. Dylan bought a total of 12/16 pound of plywood nails and frame nails, and we are asked to determine the weight of the frame nails, which is 3/4 of the total weight. To find the weight of the frame nails, you simply multiply the total weight by 3/4:

Therefore, the weight of the frame nails is 9/16 pound.

Answer:

-7

Step-by-step explanation:

To find f(-8), use the blue line labeled f(x) and go to -8 on the x axis and find its corresponding y value by moving vertically down from -8 to the blue line and find the y value of that point. You can see that the blue line hits (-8, -5) so the y value is -5 and f(-8) = -5.

Do the same thing for g(4) and you should find the red graph g(x) hits the point (4, 3). So g(4) = 3.

-1 * -5 - 4 * 3 = 5 - 12 = -7

Answer:

its graph b for plato

Step-by-step explanation:

the answer is 4953 * 100 which is equal to 495300

Answer:

The Number written by lance = 4,953

Face value of ,9 in 4953 = 9

Place value of , 9 in 4953 = 9 × 100=900

So, the number could be

1. 100 × Face value of , 9 in 4,953 = 100 × 9=900

2. 100  × Place value of , 9 in 4,953 =100 × 900=90,000

Answer:

See the attachments.

A and B are the correct statements.

Answer:

it's B

Step-by-step explanation:

USE The venn diagram

11 said they own both devices so it will be in the middle

34 said they owned at least a phone

34-11 =23