Solve for x in the triangle. Round your answer to the nearest tenth.
20
X
52°
X =

To find the percent of happy people, we just have to divide the number of happy participants by the total number of them.

Then, we multiply it by 10 to express it as a percentage.

Answer:

x = 5

Step-by-step explanation:

Step-by-step explanation:

it is a bit difficult to read the handwriting (and even the printed original texts) in this diffuse picture.

let's go through the 3 problems as I could decipher them.

1)

from what I can see you made a calculation mistake for y.

but you were right with your approaches.

12x - 8 = 15x - 23

15 = 3x

x = 5

therefore,

12x - 8 = 12×5 - 8 = 60 - 8 = 52°

and the large angle up there is

52 + 70 = 122°

and now

6y + 96 = (12x - 8) + 70 = 122

6y = 26

y = 26/6 = 13/3

by the way, x and y are not angles (and degrees). they are just factors in the expressions to calculate some angles.

12, 15 and 6 are not ° either. all are calculation factors or terms, that then together define the ° of angles.

2)

you made a mistake with the identification of what angles the linear pair is.

3x = 5x - 20

20 = 2x

x = 10 (again, not °, just a number)

3x = 3×10 = 30° (this is then an angle)

= 5x - 20

for y we could then use 2 different approaches

a) your linear pair approach.

4y is one angle, true, but the other is (2y + 3x) !

so,

4y + 2y + 30 = 180

6y = 150

y = 25 (again, not °, just a number)

2y = 50°

4y = 100°

3)

I hope you are right with (11x + 19) and (12y - 24). I would have read this in the picture as (11x + 18). and it could be (12y + 24).

assuming you are right :

11x + 19 = 7x + 47

4x = 28

x = 7 (again, not °, just a number)

11x + 19 = 7x + 47 = 96°

7z + 17 = 87

7z = 70

z = 10 (again, not °, just a number)

and yes, for y we are using the linear pair again. the two combining angles are (12y - 24) and (11x + 19).

(12y - 24) + (11x + 19) = 12y - 24 + 96 = 180

12y + 72 = 180

12y = 108

y = 9 (again, not °, just a number)

12y - 24 = 12×9 - 24 = 108 - 24 = 84°

The answers to all the subparts are:

So, the reason for rational or irrational numbers:

(A) 0.21

It is a rational number as it can be represented in fractions.

(B) 3/12

It is a rational number as it is in fractions.

(C) 4.125

It is a rational number as it can be represented in fractions.

(D) 8⅒

It is a rational number as it can be represented in fractions.

(E) π/3.14/(22/7)

It is a rational number as it can be represented in fractions.

Therefore, the answers to all the subparts are:

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Inequality is 32.50x + $10.50 ≤ $160 and 4 people can go to the amusement park.

inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

Given that,

$160 = Amount of money they have

$10.50 = Parking Cost

$32.50 = Cost of tickets per person

Because they only have $160, they can't spend more than that amount.

Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:

32.50x + $10.50 ≤ $160

Solve the equation

$160 - $10.50 = $149.50 (149.50 is how much is left for tickets after subtracting the parking cost)

$32.50 x 4 = $130 (4 tickets can be bought for the price of $32.50)

$149.50 - $130 = $19.50 (19.50 isn't enough for another person)

So, the solution to the inequality is 4 people can go to the amusement park.
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Answer:

b = [tex]\frac{g}{(d^{2}+4) }[/tex]

Step-by-step explanation:

([tex]d^{2}[/tex] + 4)b = g  Divide both sides by ([tex]d^{2}[/tex] + 4)

b = [tex]\frac{g}{(d^{2}+4) }[/tex]

By solving the system of equations, we can see that the solutions are:

(A, B) = (4, 9)

(C, D) = (1, -6).

Here we have the following system of equations:

x^2 - y = 7

y - 5x = -11

If we isolate the variable y in both equations, we get:

y = x^2 - 7

y = -11 + 5x

Now we can equate these two to get:

x^2 - 7 = -11 + 5x

now we have a quadratic equation, this can be rewritten as:

x^2 - 7 + 11 - 5x = 0

x^2 - 5x + 4 = 0

Using the quadratic formula, we will see that the solutions are:

[tex]x = \frac{5 \pm \sqrt{(-5)^2 - 4*1*(4)} }{2*1}[/tex]

Solving that we get:

[tex]x = \frac{5 \pm \sqrt{(9} }{2} \\\\x = \frac{5 \pm 3}{2}[/tex]

So the two solutions for x are:

x = (5 + 3)/2 = 4

x = (5 - 3)/2 = 1

Evaluating the second equation in these x-values we get:

y = -11 + 5*4 = -11 + 20 = 9

y = -11 + 5*1 = -6

Then we have the coordinate pairs: (4, 9) (on the first quadrant) and (1, -6) on the fourth quadrant.

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A function is defined as a relation between a set of inputs having one output each.

The value of y when x = 48 is 96.

A function is defined as a relation between a set of inputs having one output each.

The inputs are called the domain of the function.

The outputs are called the range of the function.

We have,

The value of y varies directly with x.

y = 8, when x = 4.

Domain = input = 4

Range = output = 8

Now,

We can say that y is a function.

i.e y = 2x.

Where x = input = domain and y = range = output.

The value of y when x = 48:

y = 2x

y = 2 x 48

y = 96

Thus,

The value of y when x = 48 is 96.

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Carly needs to perform 33 additional sales to earn 100 this week.

Firstly forming the expression as per the weekly earning and individual payment on extra sale. Writing the expression -

Amount earned = 35 + 2×number of sales

Keep the value of amount earned in mentioned formula to find the number of sales.

100 = 35 + 2×number of sales

2×Number of sales = 100 - 35

Performing subtraction on Right Hand Side of the equation

2×Number of sales = 65

Shifting 2 to Right Hand Side of the equation

Number of sales = 65/2

Performing division on Right Hand Side of the equation

Number of sales = 32.5

Round off the number

Number of sales = 33

Therefore, she needs to make 33 additional sales.

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A solution set exists the set of values that satisfy a given set of equations or inequalities.

Its position must be 1600 then It takes 10s to get to the ground.

A solution set exists the set of values that satisfy a given set of equations or inequalities. For instance, for a set of polynomials over a ring , the solution set exists the subset of on which the polynomials all vanish (evaluate to 0), formally.

The formula,

h = 16t²

where h is height and t is time.

You want to see how long it will take an object to fall 1600 feet down to the ground. These means its position must be 1600.

By setting the equation equal to this value,

we get:

1600 = 16t²

To estimate the value of t.  

First, divide both side by 16, getting:

100 = t²  

Now taking the square root of both sides, we get:

√(100) = 10 seconds.

It takes 10s to get to the ground.

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In the given relations , the relation (B) represents a function, others are not function. To become a function each input should have only one output. Since others does not satisfy this criteria they are not functions.

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Answer:

530 x

Step-by-step explanation:

Using the z-distribution, as we are working with a proportion, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.

In null hypothesis, we test if there has been no increase, that is, the subtraction is of 0.

In this problem, we consider that:

p₁ is the proportion in 2014.

p₂  is the proportion is 2017.

H₀=p₂-p₁

By alternative hypothesis,

H₁=p₂-p₁≠0,

we test if there has been an increase

The proportions and standard errors are given by:

p₁=0.97, s₁=√0.97(0.803)/61=0.0509

p₂=0.385, s₁=√0.385(0.615)/52=0.0675

Hence, the distribution has mean and standard error given by:

p=p₂-p₁=0.0675-0.0509

s=√s₁²+s₂²=0.0845

Test static z=p bar-p/s

at p = 0 is the value tested at the null hypothesis,

z=0.0166/0.0845

z=0.2

By a right-tailed test,  we are testing is  the proportion is greater than a value, with a significance level of 0.05, the critical value is of

z=1.645

0.2<1.645 there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.

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Answer:

x = [tex]\frac{d - f}{f}[/tex]

Step-by-step explanation:

d = f + fx

Subtract f from both sides

d - f = fx

Divide both sides by f

[tex]\frac{d - f}{f}[/tex] = x

5000kg------->5%

x------------------>100%

Using Cross-multiplication:

5000/x=5/100

Solving for x:

x=(100*5000)/5 =100000kg

You can verify the answer:

100000kg *5% =100000*0.05= 5000kg

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{G\textsf{uide:}}[/tex]

[tex]\bullet\large\textsf{ Greater than or equal to}\rightarrow\mathsf{\geq}\\\bullet\large\textsf{ Greater than}\rightarrow\mathsf{ > }\\\bullet\large\textsf{ Less than or equal to}\rightarrow\mathsf{\leq}\\\bullet\large\textsf{ Less than}\rightarrow\mathsf{ < }[/tex]

[tex]\star\large\textsf{ The word \boxed{\rm{difference}} means subtract/subtraction}\\\star\large\textsf{The word \boxed{\rm{product}} means multiply/multiplication}\\\star\textsf{The word \boxed{\rm{quotient}} means divide/division}\\\star\large\textsf{The word \boxed{\rm{sum}} means add/addition}[/tex]

[tex]\large\text{Now, let us answer your given question}[/tex]

[tex]\large\text{Your equal should possibly look like this:}\large\textsf{ 2 + b }\mathsf{\leq\ -}\large\textsf{16}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{2 + b \leq -16}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Maria's Age = 14 years old.

Carlos Age = 42 years old

Answer:

Carlos is 42, and Maria is 14.

Step-by-step explanation:

14 x 3 = 42,

14 + 42 = 56,

So, the answer is Carlos = 42, Maria = 14.

Hope this helps!

Btw, Brainliest please, thanks!

In the year 2006, the number of free throws is 100, number of 2 point field goals 128 and the number of 3 point field goals 90.

Let x = number of free throws

y = number of 2 point field goals

z =  number of 3 point field goals

However given that Rebecca has a total of 806 points,

Thus x + 2y + 3z = 806 ---------- equation 1

Number of 2 point field goals that Rebecca made was 52 less than double the number of​ three-point field goals she made ;

thus y = 2z - 52 ---------------- equation 2

Number of 3 point field goals that Rebecca made was 28 less than the number of​ two-point field goals she made ;

thus x = y - 28 ------------------ equation 3

Thus on solving these three above mentioned equations :

we get x = 2z - 52 -28 [ substituting values in eq 3 from eq 2]

x = 2z - 80 ------------- equation 5

So equation 1 becomes ; 2z - 80 + 2y + 3z = 806

5z + 2y = 886 -------------- equation 4

Thus on solving equation 4 and 2 we get

2 X equation 2 = 4z - 2y = 104

                            5z + 2y = 886

                      = 11 z = 990

thus z = 90 and so y = 4 × 90 - 104 = 2y

y= 360 - 104 / 2

= 256/2 = 128

thus y = 128 .

And x= 2z -80 from equation 5 ; x = 180 - 80 = 100 .

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Answer:

y=3x+15

Step-by-step explanation:

she can make 3 a day so 3x and she already has 15 so the line crosses the y-axis  at 15

Skydiver should wait 23.04 sec before pulling the cord, after freefall.

what is freefall?

Height of jump = 13500ft

Height from which cord will be pulled = 5000ft

Freefall, d=13500-5000 =8500ft

Distance traveled during freefall, d=16t²

substituting values, we get,

8500=16t²

t=23.04 sec

Skydiver should wait 23.04 sec before pulling the cord, after freefall.

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Answer:

Answer down below!

Step-by-step explanation:

Since we do have the value of the chairs, we can do 12 * 165 to get a total of 1,980

Now, with this, to find the price of the table, you do 2,400 - 1,980

That will give you your answer of 420.

The length is 780 feet and the width is 430 feet.

Distance is measured in length.

The dimension of distance is a property of length in the International System of Quantities.

Let the length be x

Width = x - 350

Perimeter = 2260 feet

Now : 2(x + x +350) = 2260

or, 2 x + 700 = 2260

or, 2x = 1560

or, x = 780 feet

So length is 780 feet

Width = 780 -350 = 430 feet

Therefore the length is 780 feet and the width is 430 feet.

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Answer:

How about:

0, 1, 2, 3, 4..............

lol jk here:

0, 66, 132, 198, 264

Step-by-step explanation:

Guess what it is! ;p

Answer:

1) 4, 1.25, 2
2) 12, 5, 3

3) 2, 18, 5

4)5, 8, 12

Step-by-step explanation:

1) You had to either multiply/divide by 4

2)You had to either multiply/divide by 3

3)You had to either multiply/divide by 6

4)You had to either multiply/divide by 5

Answer:

a = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

since (2, - 3 ) lies on the graph then it makes the equation true.

substitute x = 2 and y = - 3 into the equation and solve for a

2(- 3) = a(2) - 7 , that is

- 6 = 2a - 7 ( add 7 to both sides )

1 = 2a ( divide both sides by 2 )

[tex]\frac{1}{2}[/tex] = a

Answer:

Find the slope by putting your rise over your run. Make sure to label your points.

Step-by-step explanation:

For given angle of elevation equals to 66 degree and distance to kite is 303feet and hand is 4 feet above the ground then kite is 280.8feet high.

As given,

Shown in diagram attached,

Angle of elevation ∠AEB=66°

Distance to the kite AE=303 feet

Hand above the ground DE=4feet

DE=BC

BC=4feet

Let 'h' be height of AB

Height of the kite=(h +4)feet

In ΔABE,

sin66°=h/303

⇒h=sin66° ×303

     =0.9135 ×303

      =276.7905

      ≈276.8 feet

Height of kite=(h +4) feet

                             =276.8 +4

                             =280.8 feet

Therefore, for given angle of elevation equals to 66 degree and distance to kite is 303feet and hand is 4 feet above the ground then kite is 280.8feet high.

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Answer:

y = 3

Step-by-step explanation:

y = -5(-4) - 17
multiply first

y = (-5*-4) - 17

y = +20 -17

y = 3