solve the system using the elimination method
2x + 3y = 12
15x -3y = 39

Answer:

[tex]y = 25 + x[/tex] --- Members

[tex]y = 1.05x[/tex] --- Non-members

Step-by-step explanation:

Given

[tex]x \to store\ price[/tex]

[tex]y\to total\ amount[/tex]

Members

[tex]Membership =\$25[/tex]

Non-members

[tex]Rate = 5\%[/tex] increase

For the members, the equation is:

[tex]y = Membership + Store\ price[/tex]

[tex]y = 25 + x[/tex]

For non-members, the equation is:

[tex]y = Store\ price * (1 + Rate)[/tex]

[tex]y = x * (1 + 5\%)[/tex]

[tex]y = x * (1.05)[/tex]

[tex]y = 1.05x[/tex]

Answer:

radius

Step-by-step explanation:

Answer:

Radius

Step-by-step explanation:

Center of the circle to a point on a circle would be the radius, seeing how as diameter is one edge of the circle to the other edge,of the circle, crossing the middle of the circle

Answer:

I believe it is C

It's the only one that makes sense

Since their were no numbers to the questions i had to write it by the problem

Circle with 9 feet question

C=2(pi)r or C=(pi)d

Circular table question

A=(pi)r^2

Interest question

I=Prt

Volume of a rectangular prism

V=Bh

Triangular pyramid

V=1/3Bh

independent event-the occurrence of one event does not affect the probability of the occurrence of another event

compound event-two or more events considered

dependent event-the occurrence of one event affects the probability of the occurrence of another event

a) Compound Event refers to the combination of two or more events considered.

b) Independent Event occurs when one event does not affect the probability of the occurrence of another event.

c) Dependent Event describes a situation where the occurrence of one event affects the probability of the occurrence of another event

a) Compound Event: This refers to the combination of two or more events considered together. It involves analyzing the probability of multiple events occurring in a specific situation or experiment. For example, when rolling a pair of dice, the compound event might be the probability of getting a sum greater than 9.

b) Independent Event: This occurs when the outcome or occurrence of one event has no impact on the probability of the outcome or occurrence of another event. In other words, the events are unrelated and do not influence each other. For example, flipping a coin and rolling a die are independent events since the outcome of the coin flip does not affect the outcome of the die roll.

c) Dependent Event: This describes a situation where the occurrence of one event does affect the probability of the occurrence of another event. In dependent events, the outcome or happening of the first event has an impact on the likelihood of the second event. For instance, drawing cards from a deck without replacement is a dependent event since the probability of drawing a certain card changes after each card is drawn.

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Answer:

your answer is 2/6 or 1/3 a cup.

Step-by-step explanation:

Answer:

a pi = 3.14

Step-by-step explanation:

The symbol which compares the two angles is "< ".

What is an angle?

Angles around a point define the sum of angles that can be arranged together so that they construct a full arch. Angles around a point add to 360 °.

π/3 =180/3 = 60 degree

π/3 > 45 degree

45 degree <  π/3

Therefore, the correct answer is option A. <.

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Answer:

Family a got 120kg, b got 240 kg and c got 120 kg

Step-by-step explanation:

Given that 480kg of rice is shared by families a, b, c. let these alphabets represent the amount received by each family.

a + b + c = 480

Given that B receives twice as much as a, c receives half of b then,

b = 2a and

c = 1/2 b = b/2

from b = 2a,

a = b/2

substituting into the first equation

b/2 + b + b/2 = 480

b + b = 480

2b = 480

b = 480/2

= 240 kg

a = c = b/2

hence a = c = 240/2 = 120kg

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $7,000

Interest rate (i)= 2.5%

To calculate the future value after x years, we need to use the following formula:

FV= PV*(1 + i)^x

Now, for 9 years:

x= 9

FV= 7,000*(1.025^9)

FV=$8,742.04

Answer:

The ship is approximately 100 km to the Port.

Step-by-step explanation:

The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C

a = 50 km

b = 60 km

C = 51 + 80 = [tex]131^{o}[/tex]

So that;

[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]

   = 2500 + 3600 -6000 x -0.6561

   =  6100 + 3936.6

[tex]c^{2}[/tex] = 10036.6

c = [tex]\sqrt{10036.6}[/tex]

  = 100.183

c = 100.18 km

Thus, the ship is approximately 100 km to the Port.

Answer:

The answer would be Equation B:

x2 - 8x + 41

Step-by-step explanation:

Hi I can help u if you want to!!!

Answer:

d=7

Step-by-step explanation:

Answer:

La cantidad de dinero en:

Primer bolsillo = x = 200 euros

Segundo bolsillo = 2x = 400 euros

Step-by-step explanation:

Nos dijeron:

En un bolsillo tengo una cantidad de dinero y en el otro tengo el doble.

Representemos, la cantidad de dinero en el:

Primer bolsillo = x

Segundo bolsillo = 2x

En total tengo 600.

Por eso:

x + 2x = 600

3 veces = 600

x = 600/3

x = 200

2x = 200 × 2

x = 400

Por lo tanto, la cantidad de dinero en:

Primer bolsillo = x = 200 euros

Segundo bolsillo = 2x = 400 euros

Answer:

math.way

Step-by-step explanation:

Answer:

Step-by-step explanation:

y^2=49

y=[tex]\sqrt{49}[/tex]

y=7

Answer:

132

Step-by-step explanation:

Volume for a rectangular prism is V=lwh. so you do 11*3*4. 11 is the length, 3 is the width and 4 is the height

Answer:

uhh, look it up

Step-by-step explanation:

Answer:

Step-by-step explanation:

143=5x+13(being corresponding angles)

143-13=5x

130/5=x

26=x

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

Explanation:

The angles shown are corresponding angles. Notice how they are in the northeast corner of their respective four-corner configuration.

If m is parallel to n, then the corresponding angles are congruent, and we can say...

5x+13 = 143

5x = 143-13 .... subtract 13 from both sides

5x = 130

x = 130/5 .... divide both sides by 5

x = 26

So taking this logic in reverse: if x = 26, then that leads to 5x+13 equal to 143, making the corresponding angles congruent. Therefore, it would lead to lines m and n being parallel.

Answer:

[tex]x=10\sqrt[3]{2}[/tex]

Step-by-step explanation:

The Volume of a box with a square base  

x by  x  cm and height  h  cm is  

V =x^2h

The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.

The surface area of the box described is  

A = x ^2 +4 x h

We need  

A  as a function of  x  alone, so we'll use the fact that

V= x^2h = 1000 cm^3

This imples  [tex]h=\frac{1000}{x^2}[/tex]

This makes

[tex]A= x^2 + 4x(1000/x^2)\\A= x^2+4000/x[/tex]

Differentiating A w.r.t. x

[tex]A' = 2x-4000/x^2[/tex]

Now, A'=0

[tex]x=10\sqrt[3]{2}[/tex]

Therefore, minimum value x = [tex]x=10\sqrt[3]{2}[/tex]

Answer:

20(pi)

Step-by-step explanation:

• equation for the circumference of a circle= 2(pi)r

• You are given the diameter ( 20ft) but you need the radius (r) for the equation.

• divide 20 by 2 to get the radius since it is half of the diameter.

• 20/2=10 so c= 2(pi)(10)

• 2(10)=20

• plug in pi and your final answer is 20(pi)

Answer:

[tex]y = {3x}^{2} - 2x + 3 \\ y = ( \frac{1}{3} + i) {}^{2} [/tex]

Answer:

p=3+8=11

Step-by-step explanation:

Answer:

p = 11

Step-by-step explanation:

add 8 to both sides of the equation, so p = 3 + 8

p = 11

Answer:

Step-by-step explanation:

x+60=140

x=140-60

x=80 degree

Answer:

1368

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

mean = (4 + 7 + 10 ) / 3

         = 21 / 3

         = 7

Step-by-step explanation:

Answer:

Average of 4,7 and 10:

Add all together 4+7+10=21

Then 21 divided by number of scores so 3.

21 divided by 3=7

So the mean is 7

Answer:

30 sq cm

Step-by-step explanation:

The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:

Area = 10 cm x 3 cm

Area = 30 sq cm

Answer:

12.86 sq ft

Step-by-step explanation:

Find area of square and subtract out area of semi-circle; the diameter of the semi-circle equals the side of the square, which is 4 so radius is 2

A(square) = 4 x 4 = 16

A(semi-circle) = πr²/2

= 4π/2 or 2π

Area of Shaded Region = 16-3.14 which is 12.86

Answer: 12

Step-by-step explanation: