50. At a booth at the school carnival in past years, they've found that 32% of students win a stuffed toy ($3.25), 10% of students win a jumprope ($1.70), and 8% of students win a t-shirt ($7.80). The remaining students do not win a prize. If 200 students play the game at the booth, how much money should the carnival committee expect to pay for prizes for that booth

Answer:

(x + 2)^2-9

How to find answer:

Use the formula (b/2)^2 in order to complete the square.

Hope this helps :)

Answer:

AHH! Geometry!

Thanks for this problem. Needed to refresh my skill for similarity and rations.

First, notice the lines that are on sides of the triangles. Lines with the same number of marks are the same measure. You may have already known this, but I'll just tell you for reference.

That means both of those pair of sides have equal length. What does this mean though?

Imagine that each of the line segments(the ones with two marks) are... 1 cookie (Their lengths, also, I really want a cookie.)

Now, this is where ratios come into play. Consider only the top triangle to the entire triangle. The Top Triangle has a side with the length of one cookie. That corresponding side on the entire large one is 2 cookies (because they are the same measure, and 1*2=2).

Thus, we can make a ratio, comparing the lengths of a corresponding sides.

(BTW, these are similar triangles, meaning that they have all the same angle measures, but different side lengths.)

[tex]\frac{1Cookie}{2Cookies}[/tex]

Now. (Refer to above) Similar triangles have ratios of similarity. Meaning that: Corresponding sides have a 1/3 ratio. This means, also, that all the other corresponding sides have a 1/3 ratio. Neat, huh?

Putting into other words, we can compare CB and RT with the same 1/2 ratio!(Just cancel out the cookies, its still the same ratio)

Now, that we have all our needed information, let's solve!(Also, remember to match it up properly, or else it won't work: Small triangle side/Small Triangle side=Large Triangle Side/Large Triangle Side, or something like that).

[tex]\frac{1}{3x-8} =\frac{2}{2x+4} \\2x+4=6x-16\\4x=20\\x=5[/tex]

^ ANSWER

So there you go! X is equal to 5. I'm sure you can solve the rest on your own!

Hope this helps!

Stay Safe! I'm going to get that cookie now...

Answer:

1: 90º

2: 25º

Step-by-step explanation:

Hey there!

Well we know that all the middle angles are 90º right angles,

so we can conclude that angle 1 is 90º.

All the angles in a triangle add up to 180 so we can set up the following,

65 + 90 + x = 180

Combine like terms

155 + x = 180

-155 to both sides

x = 25º

So angle 2 is 25º.

Hope this helps :)

Answer:

Below

Step-by-step explanation:

From the kite you easily notice that 1 is a right angle so its mesure is 90°.

2 is inside a triangle. This triangke has two khown angles: a right one and a 65° one.

The sum of a triangle's angles is 180°.

● (2) + 90+65 = 180

● (2) +155 =180

● (2)= 180-155

●(2) = 25°

Answer:

B. $35.50/hr and \$6,079.38 in total income

Step-by-step explanation:

Given the following :

Total regular pay earning for the year = $73,840

Let basic salary = b

Overtime = 1.5b

Regular earning per week :

Regular year earning / number of weeks per year

$73840 / 52 = $1420

Regular hours = 40

Regular earning per week = $1420

Regular earning per hour = $1420 / 40

Regular earning per hour = $35.50

Number of overtime hours :

4 hours + 3.5hours = 7.5hours

Overtime pay per hour = 1.5 * regular earning

Overtime pay per hour = 1.5 * 35.5 = $53.25

Total overtime pay = Overtime pay per hour * Number of overtime hours

Total overtime pay = $53.25 * 7.5

Total overtime pay = 399.375

Total pay for the month :

160 regular hours + 7.5 overtime hours

(160 * 35.5) + $399.375

$5,680 + 399.375 = $6,079.375

= $6,079.38

Answer:

The correct answer is:

Poisson (A.)

Step-by-step explanation:

A Poisson distribution is used to model the number of events occurring within a given time interval, when the average number of times that the event occurs within the time interval is given.

Lambda ( λ ) is a rate parameter in Poisson's distribution, and it is used to represent "event/time", and it simply represents the expected number of events in the interval.

Answer:

Step-by-step explanation:

This is trying to help you understand a method of factoring trinomials.

The first step is to look at the linear term (-5x) and the constant term (-24) and identify the coefficients and their signs: -5 and -24.

The next step is to identify factors of -24 (the constant) that have a sum equal to -5 (the linear term coefficient). We can look at the ways that -24 can be factored:

  -24 = 1(-24) = 2(-12) = 3(-8) = 4(-6)

The sums of these factor pairs are 1-24=-23, 2-12=-10, 3-8=-5, 4-6=-2. Of course, the pair we're looking for is +3 and -8.

The next step from here is to rewrite the linear term using these factors. (-5x=3x-8x) This is the first step of the sequence shown in the figure:

  x² +3x -8x -24

The next step is to group these terms in pairs:

  (x² +3x) +(-8x -24)

And then, to factor each pair using the distributive property:

  x(x +3) -8(x +3)

Finally, finish the factoring, again using the distributive property:

  (x +3)(x -8)

Answer:

x = 5.7 units

Step-by-step explanation:

By applying Sine rule is the triangle XYZ,

[tex]\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}[/tex]

[tex]\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}[/tex]

[tex]\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}[/tex]

[tex]\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}[/tex]

[tex]x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}[/tex]

x = 5.69

x ≈ 5.7 units

Answer:

f. 85

Step-by-step explanation:

All triangles add up to 180 degrees

BCE=25

then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60

isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)

we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees

since 70 (angle DBC) + 25 (Angel BCA)= 95

we just subtrract 95 from 180 to get the answer 85 (:

Answer:

85 degrees

Step-by-step explanation:

if Δ ABD is equilateral  then the 3 sides and three angles are equal

sum of angles of Δ=180

180/3=60 degrees (∠A,∠B,∠D)

ΔBCA is isosceles then the two angles A and C are equal = 25

∠B=180-50=130

∠B in Δ BEC=130-60=70

∠E+∠B+∠C in Δ BEC=180

∠E= 180-70-25=85 degrees

Answer:

3/14

Step-by-step explanation:

En esta pregunta, nos preocupa calcular la fracción de los estudiantes que no asisten a los talleres.

Para obtener la fracción que no asiste a los talleres, lo que debemos hacer es sumar las fracciones de cada uno de los talleres y restar el total de 1.

Matemáticamente eso sería;

1- (2/7 + 1/10 + 2/5)

Agregando los términos en el paréntesis, tenemos;

(20+ 7 + 28) / 70 = 55/70 = 11/14

Restando esto de 1, tenemos; 1-11 / 14 = 3/14

Answer:

[tex]-16x^{2} y^{2}z^{2}[/tex]

Step-by-step explanation:

Let's calculate the answer to the second parenthesis. Just multiply throughout to get -8xyz. Then, multiply the first parenthesis by the second. Multiply the constants (-8 and 2) first to get -16, multiply the x's together to get x^2, the y's together to get y^2, and the z's together to get z^2. Put it all together to get [tex]-16x^{2} y^{2}z^{2}[/tex].

Answer:

Your correct answer is = −16y2z2

Answer:

B

Step-by-step explanation:

A nice way to remember the normal trig functions and what they stand for is with SOH CAH TOA, where S represents the Sin, C represents the Cos, and T represents tan. Note: those are only abbreviations of the actual words.

I don't know a way to remember the names of the inverse trig functions, but they are Csc, sec, and cot.

Looking at all of the options, only TON does not fit the bill, so that's the answer.

Answer:

  34°

Step-by-step explanation:

The law of cosines is good for finding angles when only sides are known. We'll use the conventional sides a, b, c, and angles A, B, C. Yes, we know the problem statement calls the smallest angle "J". We trust you can make the translation.

  a² = b² +c² -2bc·cos(A) . . . . . for sides a, b, c and angle A

Solving for the angle, we get ...

  A = arccos((b² +c² -a²)/(2bc))

Filling in the numbers with "a" being the shortest side, we have ...

  A = arccos((13² +19² -11²)/(2·13·19)) = arccos(409/494)

  A ≈ 34.113°

The smallest angle, ∠J, is about 34°.

Answer:

b

Step-by-step explanation:

Answer: A) The total cost of 2 candies is $6.00.

Step-by-step explanation:

Hi, the question is incomplete,  options are :

A) The total cost of 2 candies is $6.00. B) The total cost of 6 candies is $2.00. C) The total cost of 2 candies is $3.00. D) The total cost of 3 candies is $2.00.  

So, to answer this question we have to analyze the function given:

f(2)=6

Since the input value x (number of candles) is 2, and the output (cost in dollars ) is $6, the correct option is :

A) The total cost of 2 candies is $6.00.  

Answer:

x = 1.25, y = 1.75

Step-by-step explanation:

The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).

We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.

5 * 1.25 = 6.25

7 * 1.25 = 8.75

However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.

Therefore the lengths must be: 6.25 - 5 = 1.25

and 8.75 - 7 = 1.75

Therefore x and y equal 1.25 and 1.75

Answer:

Step-by-step explanation:

1. 6x + 12 = 3x - 27

   3x + 12 = -27

   3x = -39

    x = -13

2. 2p - 3 = 3p + 2

    -p - 3 = 2

     -p = 5

      p = -5

3. 6x - 2 - 35x -28 = 18x - 27

   -29x - 30 = 18x - 27

   -47x - 30 = -27

    -47x = 3

    x = -3/47

Answer:

D

Step-by-step explanation:

x^2 - 4x + 4 = 36

Take the square root on both sides.

x - 2x + 2 = 6

Answer:

Bottom right on TTM/Imagine Math    on the question asked it is d.

Step-by-step explanation:

Answer:

22.8

Step-by-step explanation:

Work Shown:

4*1000 = 4000 = 4 thousand

3*100 = 300 = 3 hundred

6 * (1/100) = 0.06 = 6 hundredths

7 * (1/1000) = 0.007 = 7 thousandths

add up the results

4000 + 300 + 0.06 + 0.007 = 4300.067

The expression (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number 4,300.067.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000)

Simplify the expression, then we have

⇒ 4,000 + 300 + 0.06 + 0.007

⇒ 4,300.067

The expression (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number 4,300.067.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

9/13

Step-by-step explanation:

rise = y₂ - y₁ = -1 - (-10) = -1 + 10 =   9

run = x₂ - x₁ =   9 - (-4)   =   9 +   4 = 13

Step-by-step explanation:

Answer:

The highest or the lowest point on the graph is the vertex of an absolute-value function!

Step-by-step explanation:

Answer:

The maximum size of the smaller jars is 6 liters

Step-by-step explanation:

Container 1=174 liters of oil

Container 2=258 liters of oil

Same pours the entire content of container one and container 2 into the same number of smaller jars

The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258

Factors of 174=1,2,3,6,29

Factors of 258=1,2,3,6,43

Common factors of 174 and 258=1,2,3 and 6

Highest common factor=6

Therefore,

The maximum size of the smaller jars is 6 liters

Answer:

These are two equilateral triangles and all the sides of an equilateral triangle are equal. The question even says so so that's the answer, all the sides of the equilateral triangles are equal so all the sides equate to each other

Answer:

B

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

y=2x+3, 2x represents the slope of the line and 3 represents the y-intercept

Answer:

A. 3 Days

Step-by-step explanation:

Just took the test hope this helps :)

Answer:

the answer on edge is A.3

Answer: I. True

II. True

III. True

Step-by-step explanation:

Uniform probability distributions, this are probability distributions which have equally likely outcomes. There are two known types of uniform distributions:

1. discrete

2. continuous.

In the first type of distribution, each outcome is discrete. In a continuous distribution, outcomes are continuous this means they are usually infinite.

Answer:

10

Step-by-step explanation:

f(x)=-x^2+6x+1

This is a parabola that opens downward( the - coefficient of x^2)

The maximumx is at the vertex

The x coordinate is at

-b/2a  where ax^2 + bx +c  a =-1  b=6 c=1

-6/(2*-1)

-6/-2 = 3

The x coordinate of the vertex is 3

f(3) = - (3)^2 +6(3)=1

    = -9+18+1

    = 10

The vertex is ( 3,10)

The maximum value is 10

Answer:

[tex]10[/tex]

Step-by-step explanation:

[tex]f(x)=-x^2+6x+1[/tex]

x coordinate:

[tex]\frac{-b}{2a}[/tex]

[tex]a=-1\\b=6[/tex]

[tex]\frac{-6}{2(-1)} \\\frac{-6}{-2}\\ =3[/tex]

y-coordinate:

[tex]f(3)=-(3)^2+6(3)+1\\f(3)=-9+18+1\\f(3)=10[/tex]

Answer:

Volume of the smaller cone = 8.34 cm³

Step-by-step explanation:

"If two figures are similar, their dimensions will be proportional.

Following this rule,

Ratio of the dimensions of two cones = [tex]\frac{\text{Radius of the large cone}}{\text{Radius of the small cone}}[/tex]

                                                               = [tex]\frac{r_2}{r_1}[/tex]

                                                               = [tex]\frac{5}{2}[/tex]

                                                               = 2.5

Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".

Ratio of the volumes = (ratio of the dimensions)³

[tex]\frac{V_1}{V_2}=(2.5)^3[/tex]

[tex]\frac{131}{V_2}=15.625[/tex]

[tex]V_2=\frac{131}{15.625}[/tex]

    = 8.384 cm³  

    ≈ 8.4 cm³

Therefore, volume of the smaller cone is 8.4 cm³.                          

Answer:

[tex]\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

The quickest way to solve this is to recognize this as a 30-60-90 triangle. The smallest angle is 30 degrees, and the answer is simply cos 30º.

You can also use the pythagorean theorem to find the length of the hypotenuse, then use SOH-CAH-TOA to get the answer.

Answer:

the answer is XY = 24 units.

Step-by-step explanation:

Given:

XY is tangent to the circles with center P and O respectively.

OX=16 units

PY=6 units

OP=26 units

To find:

Side XY = ?

Solution:

As per given statement, the diagram of two circles and their tangent is shown in the diagram.

We need to do one construction here,

Draw a line parallel to tangent XY from P towards OX such that it meets OX at A .

Now, let us consider triangle [tex]\triangle OAP[/tex]. It is a right angled triangle.

With sides Hypotenuse, OP = 26 units  

Perpendicular, OA = 16 -6  = 10 units

Base AP is equal to XY.

If we find the value of Base AP, the value of XY is calculated automatically.

Let us use pythagorean theorem in [tex]\triangle OAP[/tex]:

According to pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OP^{2} = AP^{2} + OA^{2} \\\Rightarrow 26^2=XY^2+10^2\\\Rightarrow XY^2 = 676- 100\\\Rightarrow XY = \sqrt{576}\\\Rightarrow XY = 24\ units[/tex]

Hence, the answer is XY = 24 units.