Solve for x: 2(10-2x) = 4(3x + 1). Write your answer as a fraction.

Answer:

10/13, 2/3, 7/11, 3/5, 5/9

Step-by-step explanation:

5/9 , 7/11, 3/5, 2/3, 10/13

Changing to decimal form

.5555(repeating), .636363(repeating), .6 , .666(repeating) ,.769230769

The largest is 10/13

Then 2/3

Then 7/11

Then 3/5

The smallest is 5/9

Answer:

111

Step-by-step explanation:

111

Answer:

John ran at a faster rate

Step-by-step explanation:

If john runs 1/2 mile in 5 minutes, then for him to run 1 mile it would take 10 minutes because it takes john 5 minutes for every half of a mile. Now Al runs 1/3 mile in 4 minutes. If he would run 1 mile, it would take him 12 minutes because it takes him four minutes every third mile.  

1/3 : 4    =       3/3 : 12        Al

1/2 : 5    =     2/2 : 10           John

From both of the rations John ran faster

Answer:

linear model

Step-by-step explanation:

This is a linear function.  The initial value is 20 ft, and the yearly growth is 2ft/yr.  Thus, the function is

height(t) = (20 ft) + (2 ft/yr)t, where t is the number of years.

Answer:

17 in²

Step-by-step explanation:

We can break this figure into two smaller and easier figures:

The top figure (which has side lengths of 3 and 5), and the bottom figure (with sides of 1 and 2.)

Let's find the area of the top figure first. The width is 4 and the length is 5 so:

[tex]3\cdot5=15[/tex] in².

The bottom figure has a length of 2 and a width of 1. So:

[tex]2\cdot1=2[/tex] in².

Now we add these two:

[tex]15+2=17[/tex] in².

Hope this helped!

Answer:

17 square inches

Step-by-step explanation:

We cut the shape in to two bits to make it easier.

5 x 3 = 15 inches

2 x 1 = 2 inches

Now we add these together:

17 square inches.

I know I answered wrong in my first attempt but now I understand the question.

Hope this helps :D

Answer:

  236.9 m

Step-by-step explanation:

Let x and y represent the distances to the near and far cars, respectively. You know from the definition of the tangent of an angle that ...

  tan(angle of depression) = building height/distance to car

  tan(10°39') = 150/x

  x = 150/tan(10°39')

and

  tan(8°15') = 150/y

  y = 150/tan(8°15')

The difference of these two distances is the distance between the cars:

  y - x = 150/tan(8°15') -150/tan(10°39')

__

The minutes of arc can be converted to fractional degrees:

  15' = 15'/(60'/1°) = (15/60)° = 0.25°

  39' = 39'/(60'/1°) = (39/60)° = (13/20)° = 0.65°

So, the distance of interest is ...

  distance between cars = (150 m)(1/tan(8.25°) -1/tan(10.65°)) ≈ 236.86 m

The cars are about 236.9 meters apart.

Answer:

777 minutes

Step-by-step explanation:

Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj

444+ 333 = 777

Answer:

7 1-yard rolls

Step-by-step explanation:

1 yard = 36 inches.

6(42 in) = 252 inches.

252 in/36 in = 7

Therefore, 7 1-yard rolls are needed.

The number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7.

Given,

A pantry contains 6 shelves.

Each shelves = 42 inches long.

The shelves are to be relined with fresh paper.

The paper is sold in 1-yard rolls.

We need to find the number of 1-yards rolls needed to sell 6 shelves.

1 yard = 36 inches.

We have,

6 shelves and each shelves is 42 inches.

1 shelves = 42 inches.

6 shelves = 6 x 42 inches

6 shelves = 252 inches.

And since,

36 inches = 1 yard

252 inches = (252/36) yard

252 inches = 7 yard

Thus the number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7 1-yard rolls.

Learn more about unit conversion here:

https://brainly.com/question/16209700

#SPJ2

Answer:

-2

Step-by-step explanation:

a - 6 - 6a = 4

a-6a=10

-5a=10

a=10/-5

a=-2

Answer:

a = -2

Step-by-step explanation:

Add like terms:

a - 6 - 6a = 4

-5a - 6 = 4

Solve for a:

-5a = 10

a = -2

So, a = -2

Answer: A

Step-by-step explanation: because the number line shows a gain of 25 then a loss of 25, it represents the question showing +25 then -25. so the answer is A

Hope this helps

Answer:

[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]

Step-by-step explanation:

The triangle formed is a right triangle.

We can use trig functions to solve.

The maximum length of the seesaw is the length of the hypotenuse of the triangle.

sin θ = opp/hyp

Let x be the hypotenuse length.

sin 30 = 1/x

x = 1/sin30

x = 2

The maximum length of the seesaw is 2 meters.

Answer:

2

Step-by-step explanation:

Take the right triangle formed by the seesaw.

Let x be the maximum heigth that we are looking for

● sin 30° = 1/x

Switch x and sin 30°

● x = 1 /(1/2)

● x = 1 ×(2/1)

● x= 1×2

● x = 2

Hey there!

No, the graph is not a function because it has two of the same inputs, (7, -6) and (7, -7).

It also can't be a linear function because the graphs are not pointed to form a straight line.

Hope this helps!

Have a great day!

Answer: No

Step-by-step explanation: Since we can draw a vertical line that passes through two points on the graph, the relation is not a function.

Answer:

hope this is ok...

1. a) f(h) = -4

  b) f(h) = 4

  c) f(h) = -6

  d) f(h) = -8

2. a) f(h) = 5

   b) f(h) = 11

   c) f(h) = 3

   d) f(h) = -1

3. a) f(x) = 11

   b) f(x) = -5

   c) f(x) = -245

   d) f(x) = -89

4. f(56) = -29.35 or -29.346046

5. f(200) = 10√2 - 56 or -41.857864 (if u want u can round off the decimal to -41.86)

Step-by-step explanation:

1. f(h) = | h - 10 |

a) f(h) = | 6 - 10 | = -4

b) f(h) = | 14 - 10 | = 4

c) f(h) = | 4 - 10 | = -6

d) f(h) = | 2 - 10 | = -8

2. f(h) = | h - 2 |

a) f(h) = | 7 - 2 | = 5

b) f(h) = | 13 - 2 | = 11

c) f(h) = | 5 - 2 | = 3

d) f(h) = | 1 - 2 | = -1

3. f(x) = x² + 11

a) f(x) = -0² + 11 = 11

b) f(x) = -4² + 11 = -5

c) f(x) = -16² + 11 = -245

d) f(x) = -10² + 11 = -89

4. f(x) = 8√x - 31

a) f(56) = 8√56 - 31 = -29.35

5. f(x) = 2√x - 56

a) f(200) = 2√200 -56 = -41.86

Please mark Brainliest....

Answer:

The other person answer is beyond correct PLEASE mark them brainliest they REALLY deserve that o-o

Answer:

so first you do

12800*.12 which is  1536

so $1536 for 1 year

for 3 years multiply it by 3

1536*3=

$4608

so 4608+12800 =

17408 is totall

Mark brainliest

Answer:

16,20,8,36

Step-by-step explanation:

he plans to have 2 tables for every 8 guest, which means 1 table for each 4 guest!

now:

2(tables)×4(number of people at each table)=8(number of guests

4×4=16

5×4=20

32(number of guests)÷4(number of people at each table)=8(number of tables)

9×4= 36

Answer:

Since there are 8 guests every 2 table we need to find how many guests are in one table:

8 ÷ 2 = 4 guests

4 tables = 4 x 4 = 16 guests

5 tables = 5 x 4 = 20 guests

32 guests = 32 ÷ 4 = 8 tables

9 tables = 9 x 4 = 36 guests

Hope this helps :D

Answer:

[tex]\Large \boxed{b=2}[/tex]

Step-by-step explanation:

-5+2(10b-2)=31

Expand brackets.

-5+20b-4=31

-9+20b=31

Add 9 on both sides.

20b=40

Divide both sides by 20

b=2

Answer:

Step-by-step explanation:

-5+2(10b-2)=31

Multiply the terms in the bracket

That's

- 5 + 20b - 4 = 31

Group like terms

Send the constants to the right side of the equation

That's

20b = 31 + 4 + 5

Simplify

20b = 40

Divide both sides by 20

We have the final answer as

Hope this helps you

The exponent 7 tells us how many copies of "8" are being multiplied together.

The expression 8*8*8 is equal to 8^3, while 8*8*8*8 = 8^4

Multiplying 8^3 and 8^4 will have us add the exponents to get 8^7. The base stays at 8 the entire time.

The rule is a^b*a^c = a^(b+c) where the base is 'a' the entire time.

Answer:

8^ 7

Step-by-step explanation:

(8*8*8) * (8*8*8*8)

There are 3 8's times 4 8's

8^3 * 8^4

We know that a^b * a^c = a^ (b+c)

8 ^ ( 3+4)

8^ 7

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

Hi, there!!!

It's so simple,

so, let's simply work with it;

Here, the given equation is;

4d-4 = 5d-8

so, let's take "4d" to right side and -8 to left side. we get,

-4+8 = 5d-4d

or, 4 = d

Therefore, the value of d is 4.

{here, we simply simplified to get answer}

YOU ARE ABSOLUTELY RIGHT...

Hope it helps....

Step-by-step explanation:

of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answer:

you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.

Step-by-step explanation:

Thanks!

Answer:

  13.4 meters

Step-by-step explanation:

About the diagram

Attached is a diagram of the problem. The directions North and East are shown so that the usual clockwise from +x measurement of angles will correspond to the bearing angles given in the problem. That is, the bearing of 120° is an angle of 120° measured from North toward East. (The mirroring across the line y=x can be a little mind-bending, but it is isomorphic, so all angles and lengths remain unchanged.)

The other feature of this diagram is the projection of the 3-D problem into two dimensions. Effectively, the center angle rabbit-O-coyote represents a plan view (in the plane of the ground), and the triangles coyote-O-C1 and rabbit-O-R1 represent side views (views in the vertical plane).

The side views let us work out the ground distances O-rabbit and O-coyote, so that we can find the ground distance rabbit-coyote as the problem requests.

__

Problem solution

The distance from the tree (O) to the rabbit is the "adjacent" leg of the 30° angle of elevation from the rabbit to the tree top. The 10 m tree height is the "opposite" leg of that rabbit-O-R1 right triangle. We know the ratio of opposite to adjacent sides gives the tangent of the angle, so we have ...

  tan(30°) = 10/(rabbit distance from tree)

Solving for the rabbit distance, we get

  rabbit distance = 10/tan(30°) ≈ 17.3205 m

Similarly, the coyote distance from the tree will be ...

  coyote distance = 10/tan(20°) ≈ 27.4748 m

__

These are two legs of the rabbit-O-coyote triangle. The angle at O between the rabbit and coyote is 120° -97° = 23°. These values are sufficient to let us use the Law of Cosines to find the distance d from rabbit to coyote:

  d² = r² +c² -2rc·cos(23°)

  d² = 17.3205² +27.4748² -2·17.3205·27.4748·cos(23°) ≈ 178.769

  d ≈ √178.769 ≈ 13.37 . . . . meters

The distance from the rabbit to the coyote is about 13.4 meters.

_____

Additional comment

Note that the angle of depression to the rabbit from the horizontal is the same as the angle of elevation from the rabbit. This lets us draw the diagram without a bunch of extra lines.

Answer:

-615.12

Step-by-step explanation:

hope this helps

plz mark as brainliest!!

Answer:2032

Step-by-step explanation:

Since 80% of the students plan to go to college, 80% of 2540 is 2032. 2540x0.8

Answer:

I think its b

Step-by-step explanation:

Hi there! Hopefully this helps!

-----------------------------------------------------------------------------------------------------------

Question: "Prove that a^{4} + b^{4} + c^{4} > abc(a + b + c) , where a, b, c are different positive real numbers."

------------------------------------------------------------------------------------------------------------

From the AM and GM inequality, we have:

a^4 + b^4 ≥ 2a^2b^2

b^4 + c^4 ≥ 2b^2c^2

c^4 + a^4 ≥ 2a^2c^2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

From adding the inequalities we have above and dividing by 2, we have:

a^4 + b^4 + c^4 ≥ a^2b^2 + b^2c^2 + c^2a^2......1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now we need to repeat the process of a^2b^2, b^2c^2, and c^2a^2 to get:

a^2b^2 + b^2c^2 ≥ 2b^2ac

b^2c^2 + c^2a^2 ≥ 2c^2ab

c^2a^2 + a^2b^2 ≥ 2a^2bc

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now, we add from what we have above and divide by 2 to get:

a^2b^2 + b^2c^2 + c^2a^2 ≥ (b^2ac + c^2ab + a^2bc) or abc(b + c + a).....2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So, from (1) and (2) it follows:

a^4 + b^4 + c^4 ≥ abc( a + b + c)

Answer:

0.5

Step-by-step explanation:

a+b+c=0—(1)  

a2+b2+c2=1—(2)  

We know that:

(a+b+c)2=a2+b2+c2+2ab+2bc+2ca—(3)  

Substituting  (1)  and  (2)  in  (3) ,  0=1+2(ab+bc+ca)  

=>ab+bc+ca=−0.5—(4)  

Squaring:  (ab+bc+ca)2=0.25  

=>a2b2+b2c2+c2a2+2ab2c+2bc2a+2a2bc=0.25  

=>a2b2+b2c2+c2a2+2abc(a+b+c)=0.25  

Since  a+b+c=0 ,

a2b2+b2c2+c2a2=0.25—(4)  

squaring  (2) :

(a2+b2+c2)2=12

=>a4+b4+c4+2a2b2+2b2c2+2c2a2=1  

=>a4+b4+c4+2(a2b2+b2c2+c2a2)=1—(5)

Substituting (4) in (5),

a4+b4+c4+2(0.25)=1

=>a4+b4+c4=0.5

Hope this helps :D

This is assuming that p is not in the denominator. To make it more clear that p is not in the denominator, I recommend you write (1/3)p.

Taking 1/3 of a number is the same as dividing by 3.

Example:

27/3 = 9

27*(1/3) = 9

Answer:

h(2)= 1

Step-by-step explanation:

h(x) = x^2-5x+7

h(2) = 2^2-5*2+7

h(2)= 1

Answer:

1

Step-by-step explanation:

you have to substitute 2 were there's x in the function

h(2)=x^2-5x+7

=2^2-5(2)+7

=4-10+7

=1

I hope this helps

Answer:

C is the correct answer

Step-by-step explanation:

I'll do the first two to get you started

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

Problem 1

A = 3 = starting value

B = 10 = ending value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (10-3)/3 ] * 100%

C = (7/3) * 100%

C = 2.3333333 * 100%

C = 233.33333%

C = 233.3%

The positive C value means we have a percent increase. If C was negative, then we'd have a percent decrease.

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

Problem 2

A = 9 = start value

B = 20 = end value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (20-9)/9 ] * 100%

C = (11/9)*100%

C = 1.2222222222*100%

C = 122.22222222%

C = 122.2%

Answer: Rises to the left and falls to the right

Step-by-step explanation:

Use the degree and the leading coefficient to determine the behavior.

There is a good video called "Describing End Behavior Using Limit Notation" by Mario's Math Tutoring, and it helps to show you how to find the end behavior with limits.

Answer:

e) 75

Step-by-step explanation:

Given the following :

Total length of cable = 60 foot

Length of each stripe = (4/5) of a feet

Number of stripes = ( total cable length / length of each stripe)

Number of stripes = ( 60 / (4/5))

Number of stripes = 60 ÷ 4/5

Number of stripes = (60 * (5/4)

= (60 * 5) / 4

= 300 / 4

= 75

Number of stripes made = 75