A recent nationwide study of myopia (nearsightedness) found that 38.1% of American adults ages 18 to 24 suffer from myopia. Consider two young adults between the ages of 18 and 24, chosen randomly and independently. The probability that neither of them suffer from myopia is

Answer:

B) each piece has 1/8 of 3 feet ribbon

Step-by-step explanation:

Given,

The total length of the ribbon = 3 feet,

Total number of pieces of the ribbon = 8,

If each piece has the same length,

So, the length of each piece

[tex]=\frac{\text{total length of the ribbon}}{\text{total pieces}}[/tex]

[tex]=\frac{3}{8}[/tex]

= 1/8 of 3 feet

Hence, OPTION B is correct.

3.

1h - $50

xh - x · $50

f(x) = 50x

x = 6 → f(6) = (50)(6) = 300

Answer: $300.

7.

1DVD - $17.75

xDVD - x · 17.75

f(x) = 17.75x

x = 5 → f(5) = (17.75)(5) = 88.75

Answer: $88.75

$37,500 profit

To solve this, find the unit rate by dividing 2500 by 20. This will get you an average of $125 profit made per product sold. Then multiply that by 300 (the number of products sold in total) to get your answer of $37,500 profit total.

Answer:

Assuming that the profit is the same for each sale, the amount they make is 37,500

Step-by-step explanation:

In order to find this, we set up a proportion using those numbers.

2500/20 = x/300 ----> Cross multiply

20*x = 2500*300 ----> Multiply

20x = 750,000 ----> Divide by 20

x = 37,500

D = c-s/n

Dn = n(c-s/n)

Dn = c - s

Dn + s = c

c = Dn +s

To solve for c in the equation D=c-s/n, isolate c by multiplying both sides by n, then rearrange the terms and divide by (n-D).

To solve for c in the equation D=c-s/n, we need to isolate c. We can start by multiplying both sides of the equation by n to eliminate the fraction:

nD=cn-(s/n)(n)

Simplifying further, we get:

nD=cn-s

Next, we can bring the term cn to the left side of the equation by subtracting cn from both sides:

nD-cn=-(cn-s)

Rearranging the terms, we have:

-cn+nD=-(cn-s)

Factoring out c from the left side, we get:

c(n-D)=cn-s

Finally, we can solve for c by dividing both sides of the equation by (n-D):

c=(cn-s)/(n-D)

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the square root of 8 is an irrational number

Root 8 is irrational as 8 = 2×2×2

Root of 8 is 2 root 2

0 is whole no.

-8/4 = 2 is an integer

49/7=7 is an integer

Rest .333333 and 9.23456 are rational as .3333 is non terminating repeating and 9.23456 is terminating

Answer:

The solution to 2 ln x = 4 ln 2 is x = ±4

Step-by-step explanation:

We have 2 ln x = 4 ln 2

[tex]nlogx\texttt{ can be written as }logx^n[/tex]

So we have

           2 ln x = 4 ln 2

              ln x² = ln 2⁴

Comparing both sides we have

             x² = 2⁴ = 16

             x = ±4

The solution to 2 ln x = 4 ln 2 is x = ±4

Answer:

4

Step-by-step explanation:

Answer:

(20,5) is NOT a solution of the equation [tex]6x+10y=150[/tex].

The point (20,5) implies that there are 20 small tables and 5 large tables.

Step-by-step explanation:

We have been given that a catering company is expecting 150 people to attend the wedding. There are two types of tables, ones which can fit 6 people and ones which can fit 10 people.

If there are x tables which can fit 6 people and there are y tables which can fit 10 people, we can express the total number of people that can fit on all available tables as: [tex]6x+10y[/tex].

Since there are total 150 people expected in the wedding, the equation can be framed as: [tex]6x+10y=150[/tex].

Let us check if the point (20,5) is a solution of the equation.

[tex]6*20+10*5=150[/tex]

[tex]120+50=150[/tex]

[tex]170=150[/tex]

Since we get a false statement, therefore, (20,5) is NOT a solution of the equation [tex]6x+10y=150[/tex].

The point (20,5) implies that there are 20 small tables and 5 large tables.

To determine if a point is a solution to an equation, substitute the values into the equation. The point (20,5) in the context of a catering company setting up tables represents 20 tables of 6 seats and 5 tables of 10 seats. However, this point is not a solution to the equation 6x + 10y = 150 because substituting these values does not make the equation true.

The point (20,5) in the context of this question represents the numbers of 6-seat and 10-seat tables the catering company needs to set up. To determine if the point (20,5) is a solution to the equation 6x+10y=150, you can substitute the first value of the ordered pair into the equation for x, and the second value for y.

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$30 + $30 = $60

$60 + $30 = $90

To pay back his sister the $80 he will to deposit money into his account for 3 weeks.

Since Steven would have $10 left over in his account from paying his sister all he needs now is $570.

You need to divide:

$570/$30 = 19

So Steven will need to deposit $30 into his bank account for 19 weeks to be able to buy the $580 bicycle.

Hope this Helps!!

22.4 is the answer.

cal used

Answer:

6√14 I think

Step-by-step explanation:

Answer:(6,-4)

Step-by-step explanation:

6x+7y=4x+4y

If (?,-4)

So we are solving for x. Substitute the y with -4.abd solve.

6x+7(-4)=4x+4(-4)

Multiply 7(-4) on left side and 4(-4) on right side.

6x-28=4x-16

Subtract 4x both sides to get x term on left side

6x-4x-28= -16

Now add 28 to both sides to move to the right side because you want to keep x on left side.

6x-4x=28-16

2x= 28-16

Subtract 28 from 16

2x= 12

Divide 2 to both sides

X=12/2

Solve 12÷2=6

X=6

Answer:

[tex]S=\left \{ \left ( 6,-4 \right ) \right \}[/tex]

Step-by-step explanation:

1) In this equation we have one solution already given for y. y=-4. Let's make it one simplest equation:

[tex]6x+7y=4x+4y\\6x-4x=-7y+4y\Rightarrow 2x=-3y[/tex]

Now, plugging in the y value already given:

2)[tex]2x=-3(-4)\Rightarrow 2x=12\Rightarrow x=6[/tex]

[tex]S=\left \{ \left ( 6,-4 \right ) \right \}[/tex]

5/8th of the complete project is finished by you and your friend.

A fraction is some part of a total amount given.Fractions are of two types one is proper fraction and other is improper fraction.

According to the given question You finish 3/8 of the project.

Your friend finishes 1/4 of the project.

∴ The total fraction of the project that is finished will be the sum of out total work which is

= 3/8 + 1/4.

Now we have to take LCM of the denominators which is 8.

So,

3/8 + 1/4.

= (3 + 2)/8.

= 5/8.

So, 5/8th of the project is finished by both of us.

learn more about fractions here :

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First, let's calculate the total cost for food. We know that we have 20 people to feed, and it costs $5 to provide food for each person. Therefore, we multiply the number of people by the cost per person to get the total cost for food. That would be:

20 people * $5/person = $100

So, the total cost for food is $100.

Next, let's calculate the total cost for the games. We're assuming that each person is playing x number of games, and that each game costs $1 to play. Therefore, we multiply the number of people by the cost per game and the number of games each person plays to find the total cost for games:

20 people * $1/game * x games = $20x

So, the total cost for the games depends on the number of games that each person plays.

If we want to find out the total cost of the party, we need to add the total cost for food and the total cost for games. This can be represented as:

$100 + $20x

This means the total cost of the party will be $100 plus $20 times the number of games each person plays. The exact total cost will depend on the value of x, i.e., the number of games each person plays.

No, it is not. I will show you:

-1 = x  and 2 = y

2 = -5(-1) + 7

2 is not equal to 12. I hope this is right!

Gotcha!

When graphing this equation, (-1,2) does NOT cross on the graph. If you're are look for "m", the answer would be -5. So no, (-1,2) is not a solution to y=-5x+7.

:-)

The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground . Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds .

the ball reaches its maximum height of 15 feet in 2.2 seconds .

The ball takes 2.2 seconds to reach the maximum height from the ground

Ball takes another 2.2 seconds to reach the ground from the maximum height

So 2.2+ 2.2 = 4.4 seconds

The ball will be in the air for 4.4 seconds

So the domain of g(x) is 0 to 4.4 seconds

[0,4.4] is the domain in interval form

Answer:

Modeling  with Quadratic Function

1. y=3x^2-2x+2

2.y=4x^2+5x-6

3.33x^2-24x+635,2,555

4. -0.507x^2+14.907x-36.131

5. 0<x<4.4

Step-by-step explanation: i made 100%

Tom has $252, Hans has $93 and Charmaine still has $84.

Answer:

The correct option is:   A.  [tex]0=x^2+3x+2[/tex]

Step-by-step explanation:

Quadratic formula:  [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

After substituting the values of a, b and c into the formula, Ramiya's equation is:   [tex]x=\frac{-3\pm\sqrt{3^2-4(1)(2)}}{2(1)}[/tex]

Comparing the above equation with the quadratic formula, we will get........

[tex]2a= 2(1)\\ a=1\\ \\ -b=-3\\ b=3\\ \\ 4ac=4(1)(2)\\ 4(1)c=4(1)(2)\\ c=2[/tex]

The standard form of any quadratic equation is:  [tex]ax^2+bx+c=0[/tex]

So, Ramiya’s quadratic equation will be:  [tex]1x^2+3x+2=0[/tex] or,  [tex]0=x^2+3x+2[/tex]

The Ramya's quadratic equation is 0 = x^2 + 3x + 2 option (A) is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

The quadratic formula is:

[tex]\rm x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Ramiya equation is:

[tex]\rm x=\frac{-3\pm \sqrt{3^2-4(1)(2)} }{2(1)}[/tex]

Comparing the Ramiya equation to the quadratic formula, we get:

-b = -3 ⇒ b = 3

2a = 2(1) ⇒ a = 1

4ac = 4(1)(2) ⇒ c = 2

Put these values in the standard equation, we get:

[tex]\rm x^2+3x+2=0[/tex]  or

[tex]0=\rm x^2+3x+2[/tex]

Thus, the Ramya's quadratic equation is 0 = x^2 + 3x + 2 option (A) is correct.

Learn more about quadratic equations here:

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Answer:  

 2            

 — = 0.40000  aka 0.4

 5          

I will try my best to assist you with your question!

1.9 + -1.5= 1.9-1.5

1.9-1.5=0.4

The answer is 0.4

Hope I helped!

Good Luck!

the total bill before taxes and tip is $18.

To calculate the total bill before taxes and tip, we simply need to sum up the costs of the sausage and eggs breakfast and the ham omelet.

Cost of sausage and eggs breakfast = $8

Cost of ham omelet = $10

Total bill before taxes and tip = Cost of sausage and eggs breakfast + Cost of ham omelet

Total bill before taxes and tip = $8 + $10

Total bill before taxes and tip = $18

So, the total bill before taxes and tip is $18.

The probable question maybe:

In a restaurant You order the sausage and eggs breakfast That costs $8, and your friend orders the ham omelet That costs $10. How much is the bill before the taxes and tip?

x = 8.

3x-14=x+2

   +14   +14

3x = x + 16

-x    -x

2x = 16

Which equals 8 divided.

So x = 8.

3x - 14 = x + 2

-x         -x      

2x - 14 =      2

     +14       +14

2x       =      16

[tex]\frac{2x}{2}[/tex]        =    [tex]\frac{16}{2}[/tex]

 x        =     8

Answer: x = 8

Answer:

um  uhhhh err ima say a flat 500

Step-by-step explanation:

i added 200 to 100 and got bored so added another 200 :D

Answer:

its uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh 299?

The answer to simplest form is 7 1/6

1.4 as a fraction is 1 4/10 (simplified to 1 2/5).

[tex]1.4=\dfrac{14}{10}=\dfrac{14:2}{10:2}=\dfrac{7}{5}[/tex]

Total hours is given as 50

Hours skiing is given as 5.

Divide hours skiing by total hours:

5 /50 = 0.1

Multiply that by 100 to get the percent:

0.1 x 100 = 10%

To answer this question, we pose the problem as follows:

It is known that there are 7 posters and between them there is 0.2 meters of separation, we also know that between the beginning of the corridor and the first poster of 0.2 meters, and between the last poster and the end of the corridor there is 0.2 meters from separation . That is, there is a total of 8 separations of 0.2 meters in the corridor.

This is the real length of the corridor occupied by the posters.

[tex]4.4-8(0.2)\\[/tex]

So, if we call x the length of the posters, we can write the following equation for x

[tex]x =\frac{4.4-8(0.2)}{7}\\[/tex]

[tex]x = 0.4 meters\\[/tex]

Then the length of the posters is 0.4 meters

The answer would be $2,064 I believe. Hope this helps!

No soy español pero soy fluido, puedo ayudarte aunque

Answer:

Total length of ribbon to line the long sides will be 22 in

Step-by-step explanation:

In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.

Then by applying Pythagoras theorem in both the triangles.

h²= (3x + 5)² + (2x + 1)² ------(1)

h²= (5x + 1)² + 5² ------(2)

By equating both the equations

(3x + 5)² + (2x + 1)² = (5x + 1)² + 25

9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25

13x² + 34x + 26 = 25x² + 10x + 26

13x² - 25x² + 34x - 10x + 26 - 26 = 0

- 12x² + 24x = 0

12x² - 24x = 0

x² - 2x = 0

x(x - 2) = 0

x = 2

Now we will put x = 2 in the measure of sides of the kite.

Side 1 = (3x + 5)

          = 3×2 + 5

          = 11

Side 2 = (5x + 1)

          = 5×2 + 1

          = 11

Side 3 = (2x + 1)

          = 2×2 + 1

          = 5

Therefore, Total length of ribbon to line the long sides will be = 11 + 11

= 22 in.

Your answer will be D-22.

Answer:

-9

Step-by-step explanation:

Since there's no = sign in your expression, it's not an equation and can't be "solved."  Perhaps you mean, "How do you combine the following?"

(6 - 2^3) - 3^2 + 2 can be evaluated as follows:

6 - 8 - 9 + 2, or -9