Whenever he is injured and unable to play, Patrice Bergeron likes to earn a little extra cash by doing some tutoring. He currently charges $50/hr and has 20 students that he works with. He has discovered that for every $5/hr he increases the price, he loses one student.

Answer:

A

Step-by-step explanation:

Multiply 4 x121=484

Answer:

17.8

Step-by-step explanation:

Situation A.

Angle 3 is congruent with angle 7.

That means that line a and b are parallel, because: Angle 3 and Angle 5 are vertical angles, and if Angle 3 is congruent with Angle 7, then Angle 5 is also congruent with Angle 7, therefore, the lines a an b are parallel.

Situation B.

Angle 7 is supplementary of Angle 12.

Angle 12 is supplementary to Angle 13.

Then Angle 13 and Angle 7 are congruent.

Then a and b are parallel and l and m are parallel.

Answer:

\(20x+240y/y\)

Step-by-step explanation:

1. Subtract the numbers

2. Evaluate the exponents

3. Subtract the numbers, again

4. Have a great day and thx for your inquiry :)

Answer:

am i suppoesd to do number 7 as well?

Step-by-step explanation:

Two wires

tether a balloon to the ground, as shown. How

high is the balloon above the ground? (Must Use Right

Triangle Trigonometry)

look at picture

The height of the balloon above the ground is 554 ft.

From the attached image, the third angle in triangle 1 would be;

180 - (90 + 85) = 5°

The supplementary angle in triangle 2 to 85° in triangle 1 is;

180 - 85 = 95°(because supplementary angles add up to 180)

The third angle of triangle 2 is; 180 - (95 + 75) = 10°

100/sin10 = z/sin 75

z = 100(sin 75)/(sin 10)

h/z = sin 85

h = z sin 85

h = [100(sin 75)/(sin 10)] × sin 85

h ≈ 554 ft

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Step-by-step explanation:

1 litre = 1000ml

780ml left

lost amount = 1000 - 780 = 220ml

Step-by-step explanation:

sorry tried but dont know

Answer:

19.08

Step-by-step explanation:

c² = a² + b² - 2ab×cos(C)

a=10

b=22

C=60

cos(60) = 0.5

c² = 10² + 22² - 2×10×22×cos(60) =

= 100 + 484 - 20×22×0.5 = 584 - 20×11 = 584 - 220 =

= 364

c = sqrt(364) ≈ 19.08

Answer:

k(x) + g(x) = x² - 3x + 4

General Formulas and Concepts:

Alg I

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 7

g(x) = 2x² - 3x + 1

h(x) = 4x + 1

k(x) = -x² + 3

Step 2: Find k(x) + g(x)

Answer:

Dont understand. Repeat question?

Step-by-step explanation:

Answer:

\( = 367 \div 5 = 73 \: rem5 \\ = 73 \div 5 = 14 \: rem6 \\ = 14 \div 5 = 2 \: rem8 \\ = > 2865 _{five}\)

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer:

10 because if it is 20 then its 10 2 times and the answer is the 3rd one :)

Step-by-step explanation:

We need to know about writing equations given conditions to solve this problem. The equation for C1 is C1=0.27t and for C2 is C2=34.95+0.12t , the number of talk minutes that would produce the same cost for both plans is 233.

For writing equations for a variable given certain conditions we need to first assume the unknown variable to be x or something. Here in this question we know that the phone plans charge a particular cost for every minute, we have to assume the number of talk minutes to be t, so the total cost for the talk minutes can be calculated by multiplying the number of minutes to the cost per minute, if there is any additional constant charge then we add the cost to the equation which will give us the final cost equation.

For C1, it charges 27 cents for a minute, so the equation for C1 is

C1=0.27t [1 cent =$0.01]

For C2, it charges $34.95 monthly fee which is constant and 12 cents per minute.

C2=34.95+0.12t

To find the number of talk minutes that produce same cost we have to equate the two equations

0.27t=34.95+0.12t

0.15t=34.95

t=233

Therefore the equation for C1 is C1=0.27t and for C2=34.95+0.12t and the number of talk minutes that produce the same cost is 233.

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Answer:

its 20 inches

Step-by-step explanation:

Answer:

26 inches

Step-by-step explanation:

To the nearest inch, the diameter of the tire is 26 inches.

The bike traveled 136 feet in 20 revolutions.  First we want to convert this to inches.  

136 ft * 12 in/ft = 1632 inches.

Next we find how many inches it travels in 1 revolution:

1632/20 = 81.6 inches

The distance around the tire is called the circumference, and the formula for circumference is  

C=πd

Our circumference is 81.6 and π is 3.14:

81.6 = 3.14d

Divide both sides by 3.14:

81.6/3.14 = 3.14d/3.14

26 = d

Hope this helped!!!!

el hombre tenía 50 acciones.

La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,

se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,

podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.

Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.

Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.

Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.

Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,

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Answer:

vertex: (-1,-2)

roots: (-3,0);(1,0)

axis of symmetry is: x=-1

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:

x = 13

Step-by-step explanation:

2(x + 18) and (3x + 79) are a linear pair and sum to 180° , that is

2(x + 18) + 3x + 79 = 180

2x + 36 + 3x + 79 = 180

5x + 115 = 180 ( subtract 115 from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

Answer:

x = 13

Step-by-step explanation:

Given angles are,

→ 3x + 79°

→ 2(x + 18)° = 2x + 36°

Now we have to,

→ Find the required value of x.

We know that,

→ Sum of all angles in a line is 180°.

Forming the equation,

→ (3x + 79°) + (2x + 36°) = 180°

Then the value of x will be,

→ (3x + 79°) + (2x + 36°) = 180°

→ 3x + 79° + 2x + 36° = 180°

→ (3x + 2x) + (79 + 36)° = 180°

→ 5x + 115° = 180°

→ 5x = 180° - 115°

→ 5x = 65

→ x = 65/5

→ [ x = 13 ]

Hence, the value of x is 13.

The statement that is true about Sara and Tina is that Tina is diving deeper than Sara because |–125| is greater than |–75|.

It should be noted that from the information, Sara and Tina are scuba diving and Sara is at –75 feet while Tina is at –125 feet.

Based on the information, it should be noted that the statement that is true about Sara and Tina is that Tina is diving deeper than Sara because |–125| is greater than |–75|.

Therefore, based on the information given, it should be noted that the correct option is A.

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Answer:

21

Step-by-step explanation:

just took the test

Answer

I believe D or C

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

The three vertices will give us the dilated figure.

First we find the slope of the line that would pass through the point of dilation, (-3, 0), and each vertex.

From (-3, 0) to (5, 4), the slope would be

m = (4-0)/(5--3) = 4/8

Since the scale factor is 1/2, this means each part of the slope would be multiplied by this scale factor:

(4(1/2))/(8(1/2)) = 2/4

This means from our point of dilation we count up 2 and over 4; this puts the new point at (-3+4, 0+2) = (1, 2).

From (-3, 0) to (3, 8) the slope is

m = (8-0)/(3--3) = 8/6

Multiplying the rise and run by 1/2, we have

(8(1/2))/(6(1/2)) = 4/3

This means the dilated point would be up 4 and over 3 from (-3, 0), putting it at (-3+3, 0+4) = (0, 4).

From (-3, 0) to (-5, 4), the slope is

m = (4-0)/(-5--3) = 4/-2.

Multiplying the rise and run by 1/2, we have

(4(1/2))/(-2(1/2)) = 2/-1

This means the dilated point would be up 2 and over -1 from (-3, 0), putting it at (-3+-1, 0+2) = (-4, 2).

These three vertices give us the dilated figure.

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Answer:

\((x-3)^2 =21\)

Step-by-step explanation:

\(~~~~~~~x^2-6x-12=0\\\\\implies x^2 -6x +9-21=0 \\\\\implies x^2 -2\cdot x \cdot 3 +3^2=21\\\\\implies (x-3)^2 =21\)

The whole number that can be substituted for z is 1.

To order these numbers from least to greatest, we need to first find a value for x that makes the expressions comparable.

1/x can be rewritten as 0.01/x

80% can be written as 0.8

So, the list becomes:

0.01/x, x/3, 0.8

To compare 0.01/x and x/3, we can cross-multiply and simplify:

0.01/x < x/3

0.01*3 < x^2

0.03 < x^2

x > sqrt(0.03)

Since x has to be a whole number, the smallest possible value for x is 1.

So, substituting x = 1, the list becomes:

0.01, 1/3, 0.8

Ordering these from least to greatest, we get:

0.01, 0.8, 1/3

Therefore, the whole number that can be substituted for z is 1.

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Answer:

\(\sqrt{x}\)\(\sqrt[3]{1/2(x)}\) - 1 = y

Step-by-step explanation:

Inverse: swap x and y

y =2(x+1)^3

x = 2(y + 1)^3

now put it in a y = mx + b form

x = 2(y + 1)^3

1/2(X) = (y+1)^3

\(\sqrt{x}\)\(\sqrt[3]{1/2(x)}\)= y + 1

\(\sqrt{x}\)\(\sqrt[3]{1/2(x)}\) - 1 = y

Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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Answer:

58.50

Step-by-step explanation:

300x.1950=58.50

Marsha pay $58.50 interest when borrowed $300 for 18months at 13% interest.

" Interest is the amount of money which one has to pay while borrowing any amount and will get paid while lending the amount."

According to the question,

Amount borrowed by Marsha = $300

Time duration = 18 months

Percentage of interest = 13%

From the given table we have

Interest per $100 at the rate of 13% for 18months = $19.50

Therefore,

Interest for $300 at the rate of 13% for 18months = $19.50 × 3

                                                                                 = $58.50                                                                    

Hence, Marsha pay $58.50 interest .

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